%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET291-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:40:42 PM UTC 2026
% Result : Unsatisfiable 17.28s 3.11s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 26
% Syntax : Number of formulae : 90 ( 40 unt; 10 def)
% Number of atoms : 220 ( 35 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 250 ( 120 ~; 130 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 123 ( 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
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/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
member(ordered_pair(v,u),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_property3_1) ).
fof(f123,negated_conjecture,
member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_property3_2) ).
fof(f124,negated_conjecture,
~ member(ordered_pair(u,v),inverse(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_property3_3) ).
fof(f129,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(f140,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,f129]) ).
fof(f146,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f150,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,f129,f129,f129,f129,f129,f129]) ).
fof(f187,plain,
member(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(u,u))),x),
inference(definition_unfolding,[],[f122,f129]) ).
fof(f188,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f123,f129]) ).
fof(f189,plain,
~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),domain_of(flip(cross_product(x,universal_class)))),
inference(definition_unfolding,[],[f124,f129,f39]) ).
fof(f194,definition,
sF0 = unordered_pair(v,v),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f195,plain,
unordered_pair(v,v) = sF0,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF1 = unordered_pair(u,u),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f197,plain,
unordered_pair(u,u) = sF1,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF2 = unordered_pair(v,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f199,plain,
unordered_pair(v,sF1) = sF2,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f201,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f200]) ).
fof(f202,plain,
member(sF3,x),
inference(definition_folding,[],[f187,f201,f199,f197,f195]) ).
fof(f203,definition,
sF4 = unordered_pair(u,sF0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f204,plain,
unordered_pair(u,sF0) = sF4,
inference(reorient_equations,[],[f203]) ).
fof(f205,definition,
sF5 = unordered_pair(sF1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f206,plain,
unordered_pair(sF1,sF4) = sF5,
inference(reorient_equations,[],[f205]) ).
fof(f207,definition,
sF6 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f208,plain,
cross_product(universal_class,universal_class) = sF6,
inference(reorient_equations,[],[f207]) ).
fof(f209,plain,
member(sF5,sF6),
inference(definition_folding,[],[f188,f208,f206,f204,f195,f197]) ).
fof(f210,definition,
sF7 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f211,plain,
cross_product(x,universal_class) = sF7,
inference(reorient_equations,[],[f210]) ).
fof(f212,definition,
sF8 = flip(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f213,plain,
flip(sF7) = sF8,
inference(reorient_equations,[],[f212]) ).
fof(f214,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f215,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f214]) ).
fof(f216,plain,
~ member(sF5,sF9),
inference(definition_folding,[],[f189,f215,f213,f211,f206,f204,f195,f197]) ).
fof(f217,plain,
! [X0] :
( ~ subclass(sF6,X0)
| member(sF5,X0) ),
inference(resolution,[],[f1,f209]) ).
fof(f286,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| ~ member(X1,universal_class)
| ~ member(X0,x) ),
inference(superposition,[],[f140,f211]) ).
fof(f334,plain,
! [X2,X3,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))),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))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f150,f140]) ).
fof(f350,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))),flip(X3))
| ~ 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(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF6)
| ~ member(X2,universal_class) ),
inference(forward_demodulation,[],[f334,f208]) ).
fof(f367,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(X1,X1))),flip(X2))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X0,X0))),unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(v,v),unordered_pair(v,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(v,v))),sF6)
| ~ member(X1,universal_class) ),
inference(superposition,[],[f350,f195]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(X0,X0))),unordered_pair(sF0,unordered_pair(v,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(X1,X1))),flip(X2))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(v,v))),sF6)
| ~ member(X1,universal_class) ),
inference(forward_demodulation,[],[f367,f195]) ).
fof(f381,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(X1,X1))),flip(X2))
| ~ member(unordered_pair(unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(X0,X0))),unordered_pair(sF0,unordered_pair(v,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(X0,X0))),unordered_pair(X1,X1))),X2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),sF6)
| ~ member(X1,universal_class) ),
inference(forward_demodulation,[],[f377,f195]) ).
fof(f416,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(u,u),sF4),unordered_pair(unordered_pair(u,u),sF4)),unordered_pair(unordered_pair(unordered_pair(u,u),sF4),unordered_pair(X0,X0))),flip(X1))
| ~ member(unordered_pair(unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u))),unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u)))),unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u))),unordered_pair(X0,X0))),X1)
| ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,sF0)),sF6)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f381,f204]) ).
fof(f423,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(sF1,sF4),unordered_pair(sF1,sF4)),unordered_pair(unordered_pair(sF1,sF4),unordered_pair(X0,X0))),flip(X1))
| ~ member(unordered_pair(unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u))),unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u)))),unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u))),unordered_pair(X0,X0))),X1)
| ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,sF0)),sF6)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f416,f197]) ).
fof(f427,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),flip(X1))
| ~ member(unordered_pair(unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u))),unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u)))),unordered_pair(unordered_pair(sF0,unordered_pair(v,unordered_pair(u,u))),unordered_pair(X0,X0))),X1)
| ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,sF0)),sF6)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f423,f206]) ).
fof(f430,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(sF0,unordered_pair(v,sF1)),unordered_pair(sF0,unordered_pair(v,sF1))),unordered_pair(unordered_pair(sF0,unordered_pair(v,sF1)),unordered_pair(X0,X0))),X1)
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),flip(X1))
| ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,sF0)),sF6)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f427,f197]) ).
fof(f432,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(sF0,sF2),unordered_pair(sF0,sF2)),unordered_pair(unordered_pair(sF0,sF2),unordered_pair(X0,X0))),X1)
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),flip(X1))
| ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,sF0)),sF6)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f430,f199]) ).
fof(f434,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(sF3,sF3),unordered_pair(sF3,unordered_pair(X0,X0))),X1)
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),flip(X1))
| ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,sF0)),sF6)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f432,f201]) ).
fof(f436,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(u,u),sF4),sF6)
| ~ member(unordered_pair(unordered_pair(sF3,sF3),unordered_pair(sF3,unordered_pair(X0,X0))),X1)
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),flip(X1))
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f434,f204]) ).
fof(f438,plain,
! [X0,X1] :
( ~ member(unordered_pair(sF1,sF4),sF6)
| ~ member(unordered_pair(unordered_pair(sF3,sF3),unordered_pair(sF3,unordered_pair(X0,X0))),X1)
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),flip(X1))
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f436,f197]) ).
fof(f440,plain,
! [X0,X1] :
( ~ member(sF5,sF6)
| ~ member(unordered_pair(unordered_pair(sF3,sF3),unordered_pair(sF3,unordered_pair(X0,X0))),X1)
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),flip(X1))
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f438,f206]) ).
fof(f442,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),flip(X1))
| ~ member(unordered_pair(unordered_pair(sF3,sF3),unordered_pair(sF3,unordered_pair(X0,X0))),X1)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f440,f209]) ).
fof(f498,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f508,plain,
member(sF5,universal_class),
inference(resolution,[],[f217,f4]) ).
fof(f512,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f146]) ).
fof(f514,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f512,f140]) ).
fof(f524,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),null_class)
| ~ member(X1,universal_class)
| member(X1,domain_of(flip(X2)))
| ~ member(X0,universal_class)
| ~ member(sF5,unordered_pair(X1,X1))
| ~ member(unordered_pair(unordered_pair(sF3,sF3),unordered_pair(sF3,unordered_pair(X0,X0))),X2)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f514,f442]) ).
fof(f533,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(sF3,sF3),unordered_pair(sF3,unordered_pair(X0,X0))),X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(flip(X2)))
| ~ member(X0,universal_class)
| ~ member(sF5,unordered_pair(X1,X1))
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X0,X0))),null_class) ),
inference(duplicate_literal_removal,[],[f524]) ).
fof(f609,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,domain_of(flip(sF7)))
| ~ member(X1,universal_class)
| ~ member(sF5,unordered_pair(X0,X0))
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X1,X1))),null_class)
| ~ member(X1,universal_class)
| ~ member(sF3,x) ),
inference(resolution,[],[f533,f286]) ).
fof(f615,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,domain_of(flip(sF7)))
| ~ member(X1,universal_class)
| ~ member(sF5,unordered_pair(X0,X0))
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X1,X1))),null_class)
| ~ member(sF3,x) ),
inference(duplicate_literal_removal,[],[f609]) ).
fof(f622,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,domain_of(flip(sF7)))
| ~ member(X1,universal_class)
| ~ member(sF5,unordered_pair(X0,X0))
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X1,X1))),null_class) ),
inference(forward_subsumption_resolution,[],[f615,f202]) ).
fof(f623,plain,
! [X0,X1] :
( member(X0,domain_of(sF8))
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(sF5,unordered_pair(X0,X0))
| member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X1,X1))),null_class) ),
inference(forward_demodulation,[],[f622,f213]) ).
fof(f624,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(sF5,sF5),unordered_pair(sF5,unordered_pair(X1,X1))),null_class)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(sF5,unordered_pair(X0,X0))
| member(X0,sF9) ),
inference(forward_demodulation,[],[f623,f215]) ).
fof(f630,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f498,f4]) ).
fof(f632,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f630]) ).
fof(f800,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f632]) ).
fof(f804,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f3351,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f800,f804]) ).
fof(f3366,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f3351]) ).
fof(f3368,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f3366]) ).
fof(f3369,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f3368,f632]) ).
fof(f3378,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(sF5,unordered_pair(X0,X0))
| member(X0,sF9) ),
inference(resolution,[],[f3369,f624]) ).
fof(f3386,plain,
! [X0] :
( ~ member(sF5,unordered_pair(X0,X0))
| ~ member(X0,universal_class)
| member(X0,sF9) ),
inference(condensation,[],[f3378]) ).
fof(f3395,plain,
( ~ member(sF5,universal_class)
| member(sF5,sF9)
| ~ member(sF5,universal_class) ),
inference(resolution,[],[f3386,f10]) ).
fof(f3398,plain,
( ~ member(sF5,universal_class)
| member(sF5,sF9) ),
inference(duplicate_literal_removal,[],[f3395]) ).
fof(f3401,plain,
member(sF5,sF9),
inference(forward_subsumption_resolution,[],[f3398,f508]) ).
fof(f3403,plain,
$false,
inference(forward_subsumption_resolution,[],[f3401,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET291-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 01:20:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 11.31/2.26 % (1940049)Input is clausal, will run a generic CNF schedule.
% 11.31/2.26 % (1940059)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=395709142:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.31/2.26 % (1940058)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=671247812:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.31/2.26 % (1940056)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1656053182:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.31/2.26 % (1940057)lrs+10_1_sil=8000:sp=occurrence:random_seed=375828724:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.31/2.26 % (1940054)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=1029779822:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.31/2.26 % (1940055)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1390237793:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.31/2.26 % (1940060)dis-21_1_sil=8000:lcm=predicate:random_seed=3534276189: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)
% 11.31/2.26 % (1940057)Refutation not found, incomplete strategy
% 11.31/2.26 % (1940057)------------------------------
% 11.31/2.26 % (1940057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.26 % (1940057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.26 % (1940057)CaDiCaL version: 2.1.3
% 11.31/2.26 % (1940057)Termination reason: Refutation not found, incomplete strategy
% 11.31/2.26 % (1940057)Time elapsed: 0.001 s
% 11.31/2.26 % (1940057)Peak memory usage: 87 MB
% 11.31/2.26 % (1940058)Instruction limit reached!
% 11.31/2.26 % (1940058)------------------------------
% 11.31/2.26 % (1940058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.26 % (1940058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.26 % (1940058)CaDiCaL version: 2.1.3
% 11.31/2.26 % (1940058)Termination reason: Instruction limit
% 11.31/2.26 % (1940058)Termination phase: Saturation
% 11.31/2.26 % (1940058)Time elapsed: 0.061 s
% 11.31/2.26 % (1940058)Peak memory usage: 88 MB
% 11.31/2.26 % (1940058)Instructions burned: 116 (million)
% 11.31/2.26 % (1940060)Instruction limit reached!
% 11.31/2.26 % (1940060)------------------------------
% 11.31/2.26 % (1940060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.26 % (1940060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.26 % (1940060)CaDiCaL version: 2.1.3
% 11.31/2.26 % (1940060)Termination reason: Instruction limit
% 11.31/2.26 % (1940060)Termination phase: Saturation
% 11.31/2.26 % (1940060)Time elapsed: 0.067 s
% 11.31/2.26 % (1940060)Peak memory usage: 89 MB
% 11.31/2.26 % (1940060)Instructions burned: 118 (million)
% 11.31/2.26 % (1940059)Instruction limit reached!
% 11.31/2.26 % (1940059)------------------------------
% 11.31/2.26 % (1940059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.26 % (1940059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.26 % (1940059)CaDiCaL version: 2.1.3
% 11.31/2.26 % (1940059)Termination reason: Instruction limit
% 11.31/2.26 % (1940059)Termination phase: Saturation
% 11.31/2.26 % (1940059)Time elapsed: 0.129 s
% 11.31/2.26 % (1940059)Peak memory usage: 90 MB
% 11.31/2.26 % (1940059)Instructions burned: 181 (million)
% 11.31/2.26 % (1940069)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=140809146: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)
% 11.31/2.26 % (1940068)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=303975899:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.31/2.26 % (1940057)------------------------------
% 11.31/2.26 % (1940057)------------------------------
% 11.31/2.26 % (1940070)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3039076254:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.31/2.26 % (1940069)Instruction limit reached!
% 11.31/2.26 % (1940069)------------------------------
% 11.31/2.26 % (1940069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940069)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940069)Termination reason: Instruction limit
% 17.28/3.11 % (1940069)Termination phase: Saturation
% 17.28/3.11 % (1940069)Time elapsed: 0.091 s
% 17.28/3.11 % (1940069)Peak memory usage: 90 MB
% 17.28/3.11 % (1940069)Instructions burned: 191 (million)
% 17.28/3.11 % (1940068)Instruction limit reached!
% 17.28/3.11 % (1940068)------------------------------
% 17.28/3.11 % (1940068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940068)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940068)Termination reason: Instruction limit
% 17.28/3.11 % (1940068)Termination phase: Saturation
% 17.28/3.11 % (1940068)Time elapsed: 0.099 s
% 17.28/3.11 % (1940068)Peak memory usage: 89 MB
% 17.28/3.11 % (1940068)Instructions burned: 143 (million)
% 17.28/3.11 % (1940070)Instruction limit reached!
% 17.28/3.11 % (1940070)------------------------------
% 17.28/3.11 % (1940070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940070)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940070)Termination reason: Instruction limit
% 17.28/3.11 % (1940070)Termination phase: Saturation
% 17.28/3.11 % (1940070)Time elapsed: 0.075 s
% 17.28/3.11 % (1940070)Peak memory usage: 90 MB
% 17.28/3.11 % (1940070)Instructions burned: 222 (million)
% 17.28/3.11 % (1940073)lrs+10_64_to=lpo:sil=8000:random_seed=940072351:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 17.28/3.11 % (1940075)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3328387740:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 17.28/3.11 % (1940077)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3040181333:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 17.28/3.11 % (1940076)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2221263815:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 17.28/3.11 % (1940073)Instruction limit reached!
% 17.28/3.11 % (1940073)------------------------------
% 17.28/3.11 % (1940073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940073)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940073)Termination reason: Instruction limit
% 17.28/3.11 % (1940073)Termination phase: Saturation
% 17.28/3.11 % (1940073)Time elapsed: 0.081 s
% 17.28/3.11 % (1940073)Peak memory usage: 90 MB
% 17.28/3.11 % (1940073)Instructions burned: 126 (million)
% 17.28/3.11 % (1940075)Instruction limit reached!
% 17.28/3.11 % (1940075)------------------------------
% 17.28/3.11 % (1940075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940075)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940075)Termination reason: Instruction limit
% 17.28/3.11 % (1940075)Termination phase: Saturation
% 17.28/3.11 % (1940075)Time elapsed: 0.114 s
% 17.28/3.11 % (1940075)Peak memory usage: 89 MB
% 17.28/3.11 % (1940075)Instructions burned: 195 (million)
% 17.28/3.11 % (1940076)Instruction limit reached!
% 17.28/3.11 % (1940076)------------------------------
% 17.28/3.11 % (1940076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940076)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940076)Termination reason: Instruction limit
% 17.28/3.11 % (1940076)Termination phase: Saturation
% 17.28/3.11 % (1940076)Time elapsed: 0.108 s
% 17.28/3.11 % (1940076)Peak memory usage: 91 MB
% 17.28/3.11 % (1940076)Instructions burned: 158 (million)
% 17.28/3.11 % (1940082)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=3415082767:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 17.28/3.11 % (1940082)Instruction limit reached!
% 17.28/3.11 % (1940082)------------------------------
% 17.28/3.11 % (1940082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940082)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940082)Termination reason: Instruction limit
% 17.28/3.11 % (1940082)Termination phase: Saturation
% 17.28/3.11 % (1940082)Time elapsed: 0.060 s
% 17.28/3.11 % (1940082)Peak memory usage: 89 MB
% 17.28/3.11 % (1940082)Instructions burned: 107 (million)
% 17.28/3.11 % (1940083)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2001075920:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 17.28/3.11 % (1940084)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2176309231:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 17.28/3.11 % (1940083)Instruction limit reached!
% 17.28/3.11 % (1940083)------------------------------
% 17.28/3.11 % (1940083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940083)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940083)Termination reason: Instruction limit
% 17.28/3.11 % (1940083)Termination phase: Saturation
% 17.28/3.11 % (1940083)Time elapsed: 0.073 s
% 17.28/3.11 % (1940083)Peak memory usage: 89 MB
% 17.28/3.11 % (1940083)Instructions burned: 107 (million)
% 17.28/3.11 % (1940086)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3875137501:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 17.28/3.11 % (1940084)Instruction limit reached!
% 17.28/3.11 % (1940084)------------------------------
% 17.28/3.11 % (1940084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940084)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940084)Termination reason: Instruction limit
% 17.28/3.11 % (1940084)Termination phase: Saturation
% 17.28/3.11 % (1940084)Time elapsed: 0.166 s
% 17.28/3.11 % (1940084)Peak memory usage: 90 MB
% 17.28/3.11 % (1940084)Instructions burned: 243 (million)
% 17.28/3.11 % (1940089)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=14698903:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 17.28/3.11 % (1940089)Refutation not found, incomplete strategy
% 17.28/3.11 % (1940089)------------------------------
% 17.28/3.11 % (1940089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940089)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940089)Termination reason: Refutation not found, incomplete strategy
% 17.28/3.11 % (1940089)Time elapsed: 0.001 s
% 17.28/3.11 % (1940089)Peak memory usage: 88 MB
% 17.28/3.11 % (1940091)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2383588090:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 17.28/3.11 % (1940089)------------------------------
% 17.28/3.11 % (1940089)------------------------------
% 17.28/3.11 % (1940091)Instruction limit reached!
% 17.28/3.11 % (1940091)------------------------------
% 17.28/3.11 % (1940091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940091)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940091)Termination reason: Instruction limit
% 17.28/3.11 % (1940091)Termination phase: Saturation
% 17.28/3.11 % (1940091)Time elapsed: 0.261 s
% 17.28/3.11 % (1940091)Peak memory usage: 95 MB
% 17.28/3.11 % (1940091)Instructions burned: 501 (million)
% 17.28/3.11 % (1940094)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3431757654:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 17.28/3.11 % (1940094)Instruction limit reached!
% 17.28/3.11 % (1940094)------------------------------
% 17.28/3.11 % (1940094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940094)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940094)Termination reason: Instruction limit
% 17.28/3.11 % (1940094)Termination phase: Saturation
% 17.28/3.11 % (1940094)Time elapsed: 0.110 s
% 17.28/3.11 % (1940094)Peak memory usage: 89 MB
% 17.28/3.11 % (1940094)Instructions burned: 192 (million)
% 17.28/3.11 % (1940095)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2838204303:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 17.28/3.11 % (1940077)Instruction limit reached!
% 17.28/3.11 % (1940077)------------------------------
% 17.28/3.11 % (1940077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940077)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940077)Termination reason: Instruction limit
% 17.28/3.11 % (1940077)Termination phase: Saturation
% 17.28/3.11 % (1940077)Time elapsed: 1.125 s
% 17.28/3.11 % (1940077)Peak memory usage: 139 MB
% 17.28/3.11 % (1940077)Instructions burned: 3397 (million)
% 17.28/3.11 % (1940097)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=869309858:cond=on:i=156:bs=on:gtg=exists_all:er=known_2983 on theBenchmark for (2983ds/156Mi)
% 17.28/3.11 % (1940095)Instruction limit reached!
% 17.28/3.11 % (1940095)------------------------------
% 17.28/3.11 % (1940095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940095)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940095)Termination reason: Instruction limit
% 17.28/3.11 % (1940095)Termination phase: Saturation
% 17.28/3.11 % (1940095)Time elapsed: 0.163 s
% 17.28/3.11 % (1940095)Peak memory usage: 91 MB
% 17.28/3.11 % (1940095)Instructions burned: 264 (million)
% 17.28/3.11 % (1940099)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=420073381:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 17.28/3.11 % (1940097)Instruction limit reached!
% 17.28/3.11 % (1940097)------------------------------
% 17.28/3.11 % (1940097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940097)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940097)Termination reason: Instruction limit
% 17.28/3.11 % (1940097)Termination phase: Saturation
% 17.28/3.11 % (1940097)Time elapsed: 0.089 s
% 17.28/3.11 % (1940097)Peak memory usage: 89 MB
% 17.28/3.11 % (1940097)Instructions burned: 158 (million)
% 17.28/3.11 % (1940101)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=284085358:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 17.28/3.11 % (1940101)Refutation not found, incomplete strategy
% 17.28/3.11 % (1940101)------------------------------
% 17.28/3.11 % (1940101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940101)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940101)Termination reason: Refutation not found, incomplete strategy
% 17.28/3.11 % (1940101)Time elapsed: 0.002 s
% 17.28/3.11 % (1940101)Peak memory usage: 87 MB
% 17.28/3.11 % (1940101)Instructions burned: 2 (million)
% 17.28/3.11 % (1940103)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=440677470:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 17.28/3.11 % (1940103)Instruction limit reached!
% 17.28/3.11 % (1940103)------------------------------
% 17.28/3.11 % (1940103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.28/3.11 % (1940103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.28/3.11 % (1940103)CaDiCaL version: 2.1.3
% 17.28/3.11 % (1940103)Termination reason: Instruction limit
% 17.28/3.11 % (1940103)Termination phase: Saturation
% 17.28/3.11 % (1940103)Time elapsed: 0.096 s
% 17.28/3.11 % (1940103)Peak memory usage: 90 MB
% 17.28/3.11 % (1940103)Instructions burned: 181 (million)
% 17.28/3.11 % (1940101)------------------------------
% 17.28/3.11 % (1940101)------------------------------
% 17.28/3.11 % (1940086)First to succeed.
% 17.28/3.11 % (1940086)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1940049"
% 17.28/3.11 % (1940106)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=561607957:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2978 on theBenchmark for (2978ds/10307Mi)
% 17.28/3.11 % (1940107)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=1701767463:i=412:gtgl=4:gtg=exists_all_2977 on theBenchmark for (2977ds/412Mi)
% 17.28/3.11 % (1940086)Refutation found. Thanks to Tanya!
% 17.28/3.11 % SZS status Unsatisfiable for theBenchmark
% 17.28/3.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.31 % (1940086)------------------------------
% 0.16/3.31 % (1940086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.31 % (1940086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.31 % (1940086)CaDiCaL version: 2.1.3
% 0.16/3.31 % (1940086)Termination reason: Refutation
% 0.16/3.31 % (1940086)Time elapsed: 1.223 s
% 0.16/3.31 % (1940086)Peak memory usage: 136 MB
% 0.16/3.31 % (1940086)Instructions burned: 1871 (million)
% 0.16/3.31 % (1940086)------------------------------
% 0.16/3.31 % (1940086)------------------------------
% 0.16/3.31 % (1940049)Success in time 2.504 s
% 0.16/3.31 % Vampire exiting
%------------------------------------------------------------------------------