%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM054-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:11:39 PM UTC 2026
% Result : Unsatisfiable 32.88s 10.33s
% Output : Refutation 67.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 31
% Syntax : Number of formulae : 106 ( 35 unt; 3 def)
% Number of atoms : 223 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 235 ( 118 ~; 114 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 155 ( 0 sgn 155 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f38,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),X3)
| ~ member(ordered_pair(ordered_pair(X1,X0),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(ordered_pair(ordered_pair(X1,X0),X2),flip(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ asymmetric(X0,X1)
| restrict(intersection(X0,inverse(X0)),X1,X1) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',asymmetric1) ).
fof(f130,plain,
! [X0,X1] :
( ~ asymmetric(X0,X1)
| null_class = restrict(intersection(X0,inverse(X0)),X1,X1) ),
inference(reorient_equations,[],[f129]) ).
fof(f176,negated_conjecture,
asymmetric(xr,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_asymmetric_class_property1_1) ).
fof(f177,negated_conjecture,
member(ordered_pair(u,v),cross_product(y,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_asymmetric_class_property1_2) ).
fof(f178,negated_conjecture,
member(ordered_pair(u,v),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_asymmetric_class_property1_3) ).
fof(f179,negated_conjecture,
member(ordered_pair(v,u),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_asymmetric_class_property1_4) ).
fof(f180,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f197,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(y,y)),
inference(definition_unfolding,[],[f177,f180]) ).
fof(f198,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),xr),
inference(definition_unfolding,[],[f178,f180]) ).
fof(f199,plain,
member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),xr),
inference(definition_unfolding,[],[f179,f180]) ).
fof(f201,plain,
! [X0,X1] :
( ~ asymmetric(X0,X1)
| null_class = intersection(cross_product(X1,X1),intersection(X0,domain_of(flip(cross_product(X0,universal_class))))) ),
inference(definition_unfolding,[],[f130,f29,f39]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f180]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f180]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f180]) ).
fof(f207,plain,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = intersection(cross_product(X1,X2),X0),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f216,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),X1)
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f32,f29,f12]) ).
fof(f217,plain,
! [X0,X1] :
( null_class != intersection(cross_product(unordered_pair(X1,X1),universal_class),X0)
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f29,f12]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(definition_unfolding,[],[f38,f180,f180,f180,f180,f180,f180]) ).
fof(f277,plain,
member(u,y),
inference(resolution,[],[f204,f197]) ).
fof(f278,plain,
member(v,y),
inference(resolution,[],[f203,f197]) ).
fof(f281,plain,
null_class = intersection(cross_product(y,y),intersection(xr,domain_of(flip(cross_product(xr,universal_class))))),
inference(resolution,[],[f201,f176]) ).
fof(f284,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f289,plain,
member(v,universal_class),
inference(resolution,[],[f284,f278]) ).
fof(f290,plain,
member(u,universal_class),
inference(resolution,[],[f284,f277]) ).
fof(f387,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f388,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f391,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f388,f3]) ).
fof(f403,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f391]) ).
fof(f407,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f387,f3]) ).
fof(f419,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f536,plain,
! [X2,X0,X1] : member(unordered_pair(X0,X1),unordered_pair(unordered_pair(X0,X1),X2)),
inference(resolution,[],[f11,f9]) ).
fof(f886,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3) ),
inference(resolution,[],[f268,f202]) ).
fof(f941,plain,
! [X0] :
( ~ member(X0,intersection(xr,domain_of(flip(cross_product(xr,universal_class)))))
| member(X0,null_class)
| ~ member(X0,cross_product(y,y)) ),
inference(superposition,[],[f23,f281]) ).
fof(f970,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),X3)
| ~ member(X2,universal_class)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(X3))
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f886,f202]) ).
fof(f993,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f403,f70]) ).
fof(f998,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f993,f7]) ).
fof(f1000,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f998]) ).
fof(f1197,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(resolution,[],[f1000,f419]) ).
fof(f1392,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f217,f1197]) ).
fof(f1393,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f1392]) ).
fof(f1399,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f1393,f68]) ).
fof(f1404,plain,
! [X0] : ~ member(X0,null_class),
inference(backward_demodulation,[],[f1393,f1399]) ).
fof(f1458,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X0,X0))),flip(cross_product(X3,X4)))
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3) ),
inference(resolution,[],[f970,f202]) ).
fof(f1468,plain,
! [X2,X3,X0,X1,X4] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X0,X0))),flip(cross_product(X3,X4)))
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3) ),
inference(forward_subsumption_resolution,[],[f1458,f284]) ).
fof(f1770,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(y,y))
| ~ member(X0,domain_of(flip(cross_product(xr,universal_class))))
| ~ member(X0,xr) ),
inference(resolution,[],[f941,f23]) ).
fof(f1791,plain,
! [X0] :
( ~ member(X0,domain_of(flip(cross_product(xr,universal_class))))
| ~ member(X0,cross_product(y,y))
| ~ member(X0,xr) ),
inference(forward_subsumption_resolution,[],[f1770,f1404]) ).
fof(f1801,plain,
! [X0] :
( ~ member(X0,cross_product(y,y))
| ~ member(X0,xr)
| null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),flip(cross_product(xr,universal_class)))
| ~ member(X0,universal_class) ),
inference(resolution,[],[f1791,f216]) ).
fof(f1825,plain,
! [X0] :
( ~ member(X0,cross_product(y,y))
| ~ member(X0,xr)
| null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),flip(cross_product(xr,universal_class))) ),
inference(forward_subsumption_resolution,[],[f1801,f284]) ).
fof(f1826,plain,
! [X0] :
( ~ member(X0,xr)
| ~ member(X0,cross_product(y,y))
| null_class = intersection(flip(cross_product(xr,universal_class)),cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(forward_demodulation,[],[f1825,f207]) ).
fof(f1830,plain,
( ~ member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),cross_product(y,y))
| null_class = intersection(flip(cross_product(xr,universal_class)),cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class)) ),
inference(resolution,[],[f1826,f199]) ).
fof(f1854,definition,
( spl0_51
<=> null_class = intersection(flip(cross_product(xr,universal_class)),cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f1856,plain,
( null_class = intersection(flip(cross_product(xr,universal_class)),cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1858,definition,
( spl0_52
<=> member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),cross_product(y,y)) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f1860,plain,
( ~ member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),cross_product(y,y))
| spl0_52 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1861,plain,
( spl0_51
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1830,f1858,f1854]) ).
fof(f1862,plain,
( ~ member(u,y)
| ~ member(v,y)
| spl0_52 ),
inference(resolution,[],[f1860,f202]) ).
fof(f1863,plain,
( ~ member(v,y)
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f1862,f277]) ).
fof(f1864,plain,
( $false
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f1863,f278]) ).
fof(f1865,plain,
spl0_52,
inference(avatar_contradiction_clause,[],[f1864]) ).
fof(f2159,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class))
| ~ member(X0,flip(cross_product(xr,universal_class))) )
| ~ spl0_51 ),
inference(superposition,[],[f23,f1856]) ).
fof(f2176,plain,
( ! [X0] :
( ~ member(X0,flip(cross_product(xr,universal_class)))
| ~ member(X0,cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class)) )
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f2159,f1404]) ).
fof(f3561,definition,
( spl0_134
<=> ! [X1] : ~ member(X1,universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f3562,plain,
( ! [X1] : ~ member(X1,universal_class)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f3561]) ).
fof(f7134,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class))
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) )
| ~ spl0_51 ),
inference(resolution,[],[f2176,f1468]) ).
fof(f7155,plain,
( ! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class)) )
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f7134,f203]) ).
fof(f7157,plain,
( ! [X0] :
( ~ member(u,universal_class)
| ~ member(v,universal_class)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(X0,X0))),cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class)) )
| ~ spl0_51 ),
inference(resolution,[],[f7155,f198]) ).
fof(f7168,plain,
( ! [X0] :
( ~ member(v,universal_class)
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(X0,X0))),cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class)) )
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f7157,f290]) ).
fof(f7172,plain,
( ! [X0] : ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(X0,X0))),cross_product(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u)))),universal_class))
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f7168,f289]) ).
fof(f7174,plain,
( ! [X0] :
( ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))))) )
| ~ spl0_51 ),
inference(resolution,[],[f7172,f202]) ).
fof(f7178,plain,
( ! [X0] : ~ member(X0,universal_class)
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f7174,f536]) ).
fof(f7179,plain,
( spl0_134
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f7178,f1854,f3561]) ).
fof(f7185,plain,
( $false
| ~ spl0_134 ),
inference(resolution,[],[f3562,f11]) ).
fof(f7201,plain,
~ spl0_134,
inference(avatar_contradiction_clause,[],[f7185]) ).
cnf(s46,plain,
( spl0_51
| ~ spl0_52 ),
inference(sat_conversion,[],[f1861]) ).
cnf(s47,plain,
spl0_52,
inference(sat_conversion,[],[f1865]) ).
cnf(s308,plain,
( ~ spl0_51
| spl0_134 ),
inference(sat_conversion,[],[f7179]) ).
cnf(s311,plain,
~ spl0_134,
inference(sat_conversion,[],[f7201]) ).
cnf(s331,plain,
~ spl0_51,
inference(rat,[],[s308,s311]) ).
cnf(s365,plain,
$false,
inference(rat,[],[s46,s47,s331]) ).
fof(f7854,plain,
$false,
inference(avatar_sat_refutation,[],[s365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM054-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n020.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 18:45:34 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 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
% 10.84/2.42 % (3677420)Input is clausal, will run a generic CNF schedule.
% 10.84/2.42 % (3677425)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=915374500:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.84/2.42 % (3677430)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3867103052:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.84/2.42 % (3677428)lrs+10_1_sil=8000:sp=occurrence:random_seed=1805464893:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.84/2.42 % (3677431)dis-21_1_sil=8000:lcm=predicate:random_seed=61188386:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.84/2.42 % (3677427)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=346787655:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.84/2.42 % (3677429)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2220140483:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.84/2.42 % (3677426)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=324694405:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.84/2.42 % (3677428)Refutation not found, incomplete strategy
% 10.84/2.42 % (3677428)------------------------------
% 10.84/2.42 % (3677428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (3677428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (3677428)CaDiCaL version: 2.1.3
% 10.84/2.42 % (3677428)Termination reason: Refutation not found, incomplete strategy
% 10.84/2.42 % (3677428)Time elapsed: 0.003 s
% 10.84/2.42 % (3677428)Peak memory usage: 88 MB
% 10.84/2.42 % (3677428)Instructions burned: 3 (million)
% 10.84/2.42 % (3677431)Instruction limit reached!
% 10.84/2.42 % (3677431)------------------------------
% 10.84/2.42 % (3677431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (3677431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (3677431)CaDiCaL version: 2.1.3
% 10.84/2.42 % (3677431)Termination reason: Instruction limit
% 10.84/2.42 % (3677431)Termination phase: Saturation
% 10.84/2.42 % (3677431)Time elapsed: 0.058 s
% 10.84/2.42 % (3677431)Peak memory usage: 89 MB
% 10.84/2.42 % (3677431)Instructions burned: 118 (million)
% 10.84/2.42 % (3677429)Instruction limit reached!
% 10.84/2.42 % (3677429)------------------------------
% 10.84/2.42 % (3677429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (3677429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (3677429)CaDiCaL version: 2.1.3
% 10.84/2.42 % (3677429)Termination reason: Instruction limit
% 10.84/2.42 % (3677429)Termination phase: Saturation
% 10.84/2.42 % (3677429)Time elapsed: 0.069 s
% 10.84/2.42 % (3677429)Peak memory usage: 89 MB
% 10.84/2.42 % (3677429)Instructions burned: 116 (million)
% 10.84/2.42 % (3677430)Instruction limit reached!
% 10.84/2.42 % (3677430)------------------------------
% 10.84/2.42 % (3677430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (3677430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (3677430)CaDiCaL version: 2.1.3
% 10.84/2.42 % (3677430)Termination reason: Instruction limit
% 10.84/2.42 % (3677430)Termination phase: Saturation
% 10.84/2.42 % (3677430)Time elapsed: 0.122 s
% 10.84/2.42 % (3677430)Peak memory usage: 90 MB
% 10.84/2.42 % (3677430)Instructions burned: 181 (million)
% 10.84/2.42 % (3677439)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3445797903:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.84/2.42 % (3677440)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1624782070:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.84/2.42 % (3677439)Refutation not found, incomplete strategy
% 10.84/2.42 % (3677439)------------------------------
% 10.84/2.42 % (3677439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (3677439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (3677439)CaDiCaL version: 2.1.3
% 20.79/3.95 % (3677439)Termination reason: Refutation not found, incomplete strategy
% 20.79/3.95 % (3677439)Time elapsed: 0.002 s
% 20.79/3.95 % (3677439)Peak memory usage: 87 MB
% 20.79/3.95 % (3677439)Instructions burned: 1 (million)
% 20.79/3.95 % (3677428)------------------------------
% 20.79/3.95 % (3677428)------------------------------
% 20.79/3.95 % (3677441)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2579827177:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 20.79/3.95 % (3677441)Refutation not found, incomplete strategy
% 20.79/3.95 % (3677441)------------------------------
% 20.79/3.95 % (3677441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.79/3.95 % (3677441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.79/3.95 % (3677441)CaDiCaL version: 2.1.3
% 20.79/3.95 % (3677441)Termination reason: Refutation not found, incomplete strategy
% 20.79/3.95 % (3677441)Time elapsed: 0.004 s
% 20.79/3.95 % (3677441)Peak memory usage: 88 MB
% 20.79/3.95 % (3677441)Instructions burned: 4 (million)
% 20.79/3.95 % (3677440)Instruction limit reached!
% 20.79/3.95 % (3677440)------------------------------
% 20.79/3.95 % (3677440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.79/3.95 % (3677440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.79/3.95 % (3677440)CaDiCaL version: 2.1.3
% 20.79/3.95 % (3677440)Termination reason: Instruction limit
% 20.79/3.95 % (3677440)Termination phase: Saturation
% 20.79/3.95 % (3677440)Time elapsed: 0.094 s
% 20.79/3.95 % (3677440)Peak memory usage: 90 MB
% 20.79/3.95 % (3677440)Instructions burned: 190 (million)
% 20.79/3.95 % (3677444)lrs+10_64_to=lpo:sil=8000:random_seed=1802045636:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 20.79/3.95 % (3677446)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1413685037:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 20.79/3.95 % (3677439)------------------------------
% 20.79/3.95 % (3677439)------------------------------
% 20.79/3.95 % (3677444)Instruction limit reached!
% 20.79/3.95 % (3677444)------------------------------
% 20.79/3.95 % (3677444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.79/3.95 % (3677444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.79/3.95 % (3677444)CaDiCaL version: 2.1.3
% 20.79/3.95 % (3677444)Termination reason: Instruction limit
% 20.79/3.95 % (3677444)Termination phase: Saturation
% 20.79/3.95 % (3677444)Time elapsed: 0.077 s
% 20.79/3.95 % (3677444)Peak memory usage: 89 MB
% 20.79/3.95 % (3677444)Instructions burned: 126 (million)
% 20.79/3.95 % (3677446)Instruction limit reached!
% 20.79/3.95 % (3677446)------------------------------
% 20.79/3.95 % (3677446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.79/3.95 % (3677446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.79/3.95 % (3677446)CaDiCaL version: 2.1.3
% 20.79/3.95 % (3677446)Termination reason: Instruction limit
% 20.79/3.95 % (3677446)Termination phase: Saturation
% 20.79/3.95 % (3677446)Time elapsed: 0.062 s
% 20.79/3.95 % (3677446)Peak memory usage: 90 MB
% 20.79/3.95 % (3677446)Instructions burned: 194 (million)
% 20.79/3.95 % (3677441)------------------------------
% 20.79/3.95 % (3677441)------------------------------
% 20.79/3.95 % (3677450)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=925028929:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 20.79/3.95 % (3677449)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3112520317:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 20.79/3.95 % (3677451)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4092392609:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 20.79/3.95 % (3677451)Instruction limit reached!
% 20.79/3.95 % (3677451)------------------------------
% 20.79/3.95 % (3677451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.79/3.95 % (3677451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.79/3.95 % (3677451)CaDiCaL version: 2.1.3
% 20.79/3.95 % (3677451)Termination reason: Instruction limit
% 20.79/3.95 % (3677451)Termination phase: Saturation
% 20.79/3.95 % (3677451)Time elapsed: 0.026 s
% 20.79/3.95 % (3677451)Peak memory usage: 90 MB
% 20.79/3.95 % (3677451)Instructions burned: 107 (million)
% 20.79/3.95 % (3677452)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2211410222:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 34.18/5.71 % (3677449)Instruction limit reached!
% 34.18/5.71 % (3677449)------------------------------
% 34.18/5.71 % (3677449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.18/5.71 % (3677449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.18/5.71 % (3677449)CaDiCaL version: 2.1.3
% 34.18/5.71 % (3677449)Termination reason: Instruction limit
% 34.18/5.71 % (3677449)Termination phase: Saturation
% 34.18/5.71 % (3677449)Time elapsed: 0.110 s
% 34.18/5.71 % (3677449)Peak memory usage: 91 MB
% 34.18/5.71 % (3677449)Instructions burned: 158 (million)
% 34.18/5.71 % (3677452)Instruction limit reached!
% 34.18/5.71 % (3677452)------------------------------
% 34.18/5.71 % (3677452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.18/5.71 % (3677452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.18/5.71 % (3677452)CaDiCaL version: 2.1.3
% 34.18/5.71 % (3677452)Termination reason: Instruction limit
% 34.18/5.71 % (3677452)Termination phase: Saturation
% 34.18/5.71 % (3677452)Time elapsed: 0.071 s
% 34.18/5.71 % (3677452)Peak memory usage: 89 MB
% 34.18/5.71 % (3677452)Instructions burned: 108 (million)
% 34.18/5.71 % (3677456)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4199233732:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 34.18/5.71 % (3677456)Instruction limit reached!
% 34.18/5.71 % (3677456)------------------------------
% 34.18/5.71 % (3677456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.18/5.71 % (3677456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.18/5.71 % (3677456)CaDiCaL version: 2.1.3
% 34.18/5.71 % (3677456)Termination reason: Instruction limit
% 34.18/5.71 % (3677456)Termination phase: Saturation
% 34.18/5.71 % (3677456)Time elapsed: 0.084 s
% 34.18/5.71 % (3677456)Peak memory usage: 91 MB
% 34.18/5.71 % (3677456)Instructions burned: 243 (million)
% 34.18/5.71 % (3677458)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3573896812:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 34.18/5.71 % (3677459)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3678375364:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 34.18/5.71 % (3677459)Refutation not found, incomplete strategy
% 34.18/5.71 % (3677459)------------------------------
% 34.18/5.71 % (3677459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.18/5.71 % (3677459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.18/5.71 % (3677459)CaDiCaL version: 2.1.3
% 34.18/5.71 % (3677459)Termination reason: Refutation not found, incomplete strategy
% 34.18/5.71 % (3677459)Time elapsed: 0.003 s
% 34.18/5.71 % (3677459)Peak memory usage: 88 MB
% 34.18/5.71 % (3677459)Instructions burned: 2 (million)
% 34.18/5.71 % (3677462)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2860801379:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 34.18/5.71 % (3677459)------------------------------
% 34.18/5.71 % (3677459)------------------------------
% 34.18/5.71 % (3677462)Instruction limit reached!
% 34.18/5.71 % (3677462)------------------------------
% 34.18/5.71 % (3677462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.18/5.71 % (3677462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.18/5.71 % (3677462)CaDiCaL version: 2.1.3
% 34.18/5.71 % (3677462)Termination reason: Instruction limit
% 34.18/5.71 % (3677462)Termination phase: Saturation
% 34.18/5.71 % (3677462)Time elapsed: 0.139 s
% 34.18/5.71 % (3677462)Peak memory usage: 94 MB
% 34.18/5.71 % (3677462)Instructions burned: 500 (million)
% 34.18/5.71 % (3677465)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2046438102:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 34.18/5.71 % (3677466)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=491623905:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 34.18/5.71 % (3677465)Instruction limit reached!
% 34.18/5.71 % (3677465)------------------------------
% 34.18/5.71 % (3677465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.18/5.71 % (3677465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.01/7.81 % (3677465)CaDiCaL version: 2.1.3
% 48.01/7.81 % (3677465)Termination reason: Instruction limit
% 48.01/7.81 % (3677465)Termination phase: Saturation
% 48.01/7.81 % (3677465)Time elapsed: 0.065 s
% 48.01/7.81 % (3677465)Peak memory usage: 90 MB
% 48.01/7.81 % (3677465)Instructions burned: 193 (million)
% 48.01/7.81 % (3677469)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=502014591:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 48.01/7.81 % (3677466)Instruction limit reached!
% 48.01/7.81 % (3677466)------------------------------
% 48.01/7.81 % (3677466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.01/7.81 % (3677466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.01/7.81 % (3677466)CaDiCaL version: 2.1.3
% 48.01/7.81 % (3677466)Termination reason: Instruction limit
% 48.01/7.81 % (3677466)Termination phase: Saturation
% 48.01/7.81 % (3677466)Time elapsed: 0.172 s
% 48.01/7.81 % (3677466)Peak memory usage: 91 MB
% 48.01/7.81 % (3677466)Instructions burned: 265 (million)
% 48.01/7.81 % (3677469)Instruction limit reached!
% 48.01/7.81 % (3677469)------------------------------
% 48.01/7.81 % (3677469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.01/7.81 % (3677469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.01/7.81 % (3677469)CaDiCaL version: 2.1.3
% 48.01/7.81 % (3677469)Termination reason: Instruction limit
% 48.01/7.81 % (3677469)Termination phase: Saturation
% 48.01/7.81 % (3677469)Time elapsed: 0.059 s
% 48.01/7.81 % (3677469)Peak memory usage: 90 MB
% 48.01/7.81 % (3677469)Instructions burned: 159 (million)
% 48.01/7.81 % (3677472)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2765484167:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 48.01/7.81 % (3677471)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3939062290:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 48.01/7.81 % (3677472)Refutation not found, incomplete strategy
% 48.01/7.81 % (3677472)------------------------------
% 48.01/7.81 % (3677472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.01/7.81 % (3677472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.01/7.81 % (3677472)CaDiCaL version: 2.1.3
% 48.01/7.81 % (3677472)Termination reason: Refutation not found, incomplete strategy
% 48.01/7.81 % (3677472)Time elapsed: 0.002 s
% 48.01/7.81 % (3677472)Peak memory usage: 88 MB
% 48.01/7.81 % (3677472)Instructions burned: 4 (million)
% 48.01/7.81 % (3677472)------------------------------
% 48.01/7.81 % (3677472)------------------------------
% 48.01/7.81 % (3677475)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=4269543886:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 48.01/7.81 % (3677475)Instruction limit reached!
% 48.01/7.81 % (3677475)------------------------------
% 48.01/7.81 % (3677475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.01/7.81 % (3677475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.01/7.81 % (3677475)CaDiCaL version: 2.1.3
% 48.01/7.81 % (3677475)Termination reason: Instruction limit
% 48.01/7.81 % (3677475)Termination phase: Saturation
% 48.01/7.81 % (3677475)Time elapsed: 0.049 s
% 48.01/7.81 % (3677475)Peak memory usage: 89 MB
% 48.01/7.81 % (3677475)Instructions burned: 180 (million)
% 48.01/7.81 % (3677477)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=381674824:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 48.01/7.81 % (3677450)Instruction limit reached!
% 48.01/7.81 % (3677450)------------------------------
% 48.01/7.81 % (3677450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.01/7.81 % (3677450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.01/7.81 % (3677450)CaDiCaL version: 2.1.3
% 48.01/7.81 % (3677450)Termination reason: Instruction limit
% 48.01/7.81 % (3677450)Termination phase: Saturation
% 48.01/7.81 % (3677450)Time elapsed: 2.022 s
% 48.01/7.81 % (3677450)Peak memory usage: 148 MB
% 48.01/7.81 % (3677450)Instructions burned: 3395 (million)
% 48.01/7.81 % (3677479)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2933951768:i=412:gtgl=4:gtg=exists_all_2971 on theBenchmark for (2971ds/412Mi)
% 32.88/10.33 % (3677479)Instruction limit reached!
% 32.88/10.33 % (3677479)------------------------------
% 32.88/10.33 % (3677479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677479)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677479)Termination reason: Instruction limit
% 32.88/10.33 % (3677479)Termination phase: Saturation
% 32.88/10.33 % (3677479)Time elapsed: 0.187 s
% 32.88/10.33 % (3677479)Peak memory usage: 90 MB
% 32.88/10.33 % (3677479)Instructions burned: 414 (million)
% 32.88/10.33 % (3677481)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1009535898:s2pl=no:i=8478:s2at=4:nm=6_2967 on theBenchmark for (2967ds/8478Mi)
% 32.88/10.33 % (3677471)Instruction limit reached!
% 32.88/10.33 % (3677471)------------------------------
% 32.88/10.33 % (3677471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677471)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677471)Termination reason: Instruction limit
% 32.88/10.33 % (3677471)Termination phase: Saturation
% 32.88/10.33 % (3677471)Time elapsed: 1.947 s
% 32.88/10.33 % (3677471)Peak memory usage: 145 MB
% 32.88/10.33 % (3677471)Instructions burned: 3256 (million)
% 32.88/10.33 % (3677483)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=3654376911:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2961 on theBenchmark for (2961ds/303Mi)
% 32.88/10.33 % (3677483)Instruction limit reached!
% 32.88/10.33 % (3677483)------------------------------
% 32.88/10.33 % (3677483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677483)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677483)Termination reason: Instruction limit
% 32.88/10.33 % (3677483)Termination phase: Saturation
% 32.88/10.33 % (3677483)Time elapsed: 0.145 s
% 32.88/10.33 % (3677483)Peak memory usage: 92 MB
% 32.88/10.33 % (3677483)Instructions burned: 303 (million)
% 32.88/10.33 % (3677458)Instruction limit reached!
% 32.88/10.33 % (3677458)------------------------------
% 32.88/10.33 % (3677458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677458)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677458)Termination reason: Instruction limit
% 32.88/10.33 % (3677458)Termination phase: Saturation
% 32.88/10.33 % (3677458)Time elapsed: 3.133 s
% 32.88/10.33 % (3677458)Peak memory usage: 152 MB
% 32.88/10.33 % (3677458)Instructions burned: 5208 (million)
% 32.88/10.33 % (3677485)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2669561240:st=4:i=720:sd=3:fsr=off:ss=axioms_2958 on theBenchmark for (2958ds/720Mi)
% 32.88/10.33 % (3677486)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2314417092:i=598:bs=on:bd=preordered:av=off:ss=axioms_2957 on theBenchmark for (2957ds/598Mi)
% 32.88/10.33 % (3677486)Instruction limit reached!
% 32.88/10.33 % (3677486)------------------------------
% 32.88/10.33 % (3677486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677486)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677486)Termination reason: Instruction limit
% 32.88/10.33 % (3677486)Termination phase: Saturation
% 32.88/10.33 % (3677486)Time elapsed: 0.302 s
% 32.88/10.33 % (3677486)Peak memory usage: 96 MB
% 32.88/10.33 % (3677486)Instructions burned: 599 (million)
% 32.88/10.33 % (3677485)Instruction limit reached!
% 32.88/10.33 % (3677485)------------------------------
% 32.88/10.33 % (3677485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677485)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677485)Termination reason: Instruction limit
% 32.88/10.33 % (3677485)Termination phase: Saturation
% 32.88/10.33 % (3677485)Time elapsed: 0.370 s
% 32.88/10.33 % (3677485)Peak memory usage: 97 MB
% 32.88/10.33 % (3677485)Instructions burned: 720 (million)
% 32.88/10.33 % (3677490)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=1950525580:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2953 on theBenchmark for (2953ds/1997Mi)
% 32.88/10.33 % (3677489)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=700683357:i=2989:sd=3:ss=axioms:sgt=60_2953 on theBenchmark for (2953ds/2989Mi)
% 32.88/10.33 % (3677477)Instruction limit reached!
% 32.88/10.33 % (3677477)------------------------------
% 32.88/10.33 % (3677477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677477)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677477)Termination reason: Instruction limit
% 32.88/10.33 % (3677477)Termination phase: Saturation
% 32.88/10.33 % (3677477)Time elapsed: 3.063 s
% 32.88/10.33 % (3677477)Peak memory usage: 151 MB
% 32.88/10.33 % (3677477)Instructions burned: 10313 (million)
% 32.88/10.33 % (3677493)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=2658946623:i=2088:bd=preordered:av=off_2945 on theBenchmark for (2945ds/2088Mi)
% 32.88/10.33 % (3677490)Instruction limit reached!
% 32.88/10.33 % (3677490)------------------------------
% 32.88/10.33 % (3677490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677490)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677490)Termination reason: Instruction limit
% 32.88/10.33 % (3677490)Termination phase: Saturation
% 32.88/10.33 % (3677490)Time elapsed: 1.278 s
% 32.88/10.33 % (3677490)Peak memory usage: 136 MB
% 32.88/10.33 % (3677490)Instructions burned: 1997 (million)
% 32.88/10.33 % (3677495)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=4269497879:i=1098:nicw=on_2938 on theBenchmark for (2938ds/1098Mi)
% 32.88/10.33 % (3677493)Instruction limit reached!
% 32.88/10.33 % (3677493)------------------------------
% 32.88/10.33 % (3677493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677493)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677493)Termination reason: Instruction limit
% 32.88/10.33 % (3677493)Termination phase: Saturation
% 32.88/10.33 % (3677493)Time elapsed: 0.712 s
% 32.88/10.33 % (3677493)Peak memory usage: 137 MB
% 32.88/10.33 % (3677493)Instructions burned: 2091 (million)
% 32.88/10.33 % (3677497)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=2258997857:i=433:bd=preordered_2937 on theBenchmark for (2937ds/433Mi)
% 32.88/10.33 % (3677497)Refutation not found, incomplete strategy
% 32.88/10.33 % (3677497)------------------------------
% 32.88/10.33 % (3677497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677497)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677497)Termination reason: Refutation not found, incomplete strategy
% 32.88/10.33 % (3677497)Time elapsed: 0.008 s
% 32.88/10.33 % (3677497)Peak memory usage: 89 MB
% 32.88/10.33 % (3677497)Instructions burned: 23 (million)
% 32.88/10.33 % (3677497)------------------------------
% 32.88/10.33 % (3677497)------------------------------
% 32.88/10.33 % (3677489)Instruction limit reached!
% 32.88/10.33 % (3677489)------------------------------
% 32.88/10.33 % (3677489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677489)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677489)Termination reason: Instruction limit
% 32.88/10.33 % (3677489)Termination phase: Saturation
% 32.88/10.33 % (3677489)Time elapsed: 1.860 s
% 32.88/10.33 % (3677489)Peak memory usage: 143 MB
% 32.88/10.33 % (3677489)Instructions burned: 2989 (million)
% 32.88/10.33 % (3677499)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3521292697:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2933 on theBenchmark for (2933ds/2942Mi)
% 32.88/10.33 % (3677500)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=3120957471:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2932 on theBenchmark for (2932ds/6922Mi)
% 32.88/10.33 % (3677495)Instruction limit reached!
% 32.88/10.33 % (3677495)------------------------------
% 32.88/10.33 % (3677495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677495)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677495)Termination reason: Instruction limit
% 32.88/10.33 % (3677495)Termination phase: Saturation
% 32.88/10.33 % (3677495)Time elapsed: 0.648 s
% 32.88/10.33 % (3677495)Peak memory usage: 104 MB
% 32.88/10.33 % (3677495)Instructions burned: 1098 (million)
% 32.88/10.33 % (3677503)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=2628637579:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2930 on theBenchmark for (2930ds/596Mi)
% 32.88/10.33 % (3677503)Instruction limit reached!
% 32.88/10.33 % (3677503)------------------------------
% 32.88/10.33 % (3677503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677503)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677503)Termination reason: Instruction limit
% 32.88/10.33 % (3677503)Termination phase: Saturation
% 32.88/10.33 % (3677503)Time elapsed: 0.310 s
% 32.88/10.33 % (3677503)Peak memory usage: 99 MB
% 32.88/10.33 % (3677503)Instructions burned: 596 (million)
% 32.88/10.33 % (3677481)Instruction limit reached!
% 32.88/10.33 % (3677481)------------------------------
% 32.88/10.33 % (3677481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677481)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677481)Termination reason: Instruction limit
% 32.88/10.33 % (3677481)Termination phase: Saturation
% 32.88/10.33 % (3677481)Time elapsed: 4.055 s
% 32.88/10.33 % (3677481)Peak memory usage: 180 MB
% 32.88/10.33 % (3677481)Instructions burned: 8478 (million)
% 32.88/10.33 % (3677505)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=897392912:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2925 on theBenchmark for (2925ds/4123Mi)
% 32.88/10.33 % (3677506)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3065921777:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2924 on theBenchmark for (2924ds/16411Mi)
% 32.88/10.33 % (3677499)Instruction limit reached!
% 32.88/10.33 % (3677499)------------------------------
% 32.88/10.33 % (3677499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677499)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677499)Termination reason: Instruction limit
% 32.88/10.33 % (3677499)Termination phase: Saturation
% 32.88/10.33 % (3677499)Time elapsed: 1.086 s
% 32.88/10.33 % (3677499)Peak memory usage: 145 MB
% 32.88/10.33 % (3677499)Instructions burned: 2945 (million)
% 32.88/10.33 % (3677509)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=341832299:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2921 on theBenchmark for (2921ds/1670Mi)
% 32.88/10.33 % (3677509)Instruction limit reached!
% 32.88/10.33 % (3677509)------------------------------
% 32.88/10.33 % (3677509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.88/10.33 % (3677509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.88/10.33 % (3677509)CaDiCaL version: 2.1.3
% 32.88/10.33 % (3677509)Termination reason: Instruction limit
% 32.88/10.33 % (3677509)Termination phase: Saturation
% 32.88/10.33 % (3677509)Time elapsed: 0.549 s
% 32.88/10.33 % (3677509)Peak memory usage: 136 MB
% 32.88/10.33 % (3677509)Instructions burned: 1673 (million)
% 32.88/10.33 % (3677511)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=2334795719:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2914 on theBenchmark for (2914ds/1722Mi)
% 32.88/10.33 % (3677506)First to succeed.
% 32.88/10.33 % (3677506)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3677420"
% 32.88/10.33 % (3677506)Refutation found. Thanks to Tanya!
% 32.88/10.33 % SZS status Unsatisfiable for theBenchmark
% 32.88/10.33 % SZS output start Proof for theBenchmark
% See solution above
% 67.20/10.52 % (3677506)------------------------------
% 67.20/10.52 % (3677506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.20/10.52 % (3677506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.20/10.52 % (3677506)CaDiCaL version: 2.1.3
% 67.20/10.52 % (3677506)Termination reason: Refutation
% 67.20/10.52 % (3677506)Time elapsed: 1.483 s
% 67.20/10.52 % (3677506)Peak memory usage: 140 MB
% 67.20/10.52 % (3677506)Instructions burned: 2358 (million)
% 67.20/10.52 % (3677506)------------------------------
% 67.20/10.52 % (3677506)------------------------------
% 67.20/10.52 % (3677420)Success in time 9.453 s
% 67.20/10.52 % Vampire exiting
%------------------------------------------------------------------------------