%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET330-6 : 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 : n006.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 12:40:46 PM UTC 2026
% Result : Unsatisfiable 38.53s 6.11s
% Output : Refutation 39.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 35
% Syntax : Number of formulae : 117 ( 60 unt; 11 def)
% Number of atoms : 289 ( 57 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 342 ( 170 ~; 172 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 16 con; 0-3 aty)
% Number of variables : 185 ( 185 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
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(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/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/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(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
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(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
member(ordered_pair(x,y),xr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_image_alternate_defn4_1) ).
fof(f123,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_image_alternate_defn4_2) ).
fof(f124,negated_conjecture,
~ member(y,image(xr,singleton(x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_image_alternate_defn4_3) ).
fof(f126,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f127,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f126,f28]) ).
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(f138,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,f129]) ).
fof(f139,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,f129]) ).
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(f145,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
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(x,x),unordered_pair(x,unordered_pair(y,y))),xr),
inference(definition_unfolding,[],[f122,f129]) ).
fof(f188,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f123,f129]) ).
fof(f189,plain,
~ member(y,domain_of(domain_of(flip(cross_product(intersection(xr,cross_product(unordered_pair(x,x),universal_class)),universal_class))))),
inference(definition_unfolding,[],[f124,f127,f12]) ).
fof(f194,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f195,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF1 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f197,plain,
unordered_pair(y,y) = sF1,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF2 = unordered_pair(x,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f199,plain,
unordered_pair(x,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,xr),
inference(definition_folding,[],[f187,f201,f199,f197,f195]) ).
fof(f203,definition,
sF4 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f204,plain,
cross_product(universal_class,universal_class) = sF4,
inference(reorient_equations,[],[f203]) ).
fof(f205,plain,
member(sF3,sF4),
inference(definition_folding,[],[f188,f204,f201,f199,f197,f195]) ).
fof(f206,definition,
sF5 = cross_product(sF0,universal_class),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f207,plain,
cross_product(sF0,universal_class) = sF5,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF6 = intersection(xr,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f209,plain,
intersection(xr,sF5) = sF6,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF7 = cross_product(sF6,universal_class),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f211,plain,
cross_product(sF6,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,definition,
sF10 = domain_of(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f217,plain,
domain_of(sF9) = sF10,
inference(reorient_equations,[],[f216]) ).
fof(f218,plain,
~ member(y,sF10),
inference(definition_folding,[],[f189,f217,f215,f213,f211,f209,f207,f195]) ).
fof(f219,plain,
unordered_pair(x,unordered_pair(y,y)) = sF2,
inference(forward_demodulation,[],[f199,f197]) ).
fof(f220,plain,
sF3 = unordered_pair(unordered_pair(x,x),sF2),
inference(forward_demodulation,[],[f201,f195]) ).
fof(f221,plain,
member(sF3,cross_product(universal_class,universal_class)),
inference(backward_demodulation,[],[f205,f204]) ).
fof(f222,plain,
cross_product(unordered_pair(x,x),universal_class) = sF5,
inference(forward_demodulation,[],[f207,f195]) ).
fof(f223,plain,
sF7 = cross_product(intersection(xr,sF5),universal_class),
inference(forward_demodulation,[],[f211,f209]) ).
fof(f224,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) = sF3,
inference(forward_demodulation,[],[f220,f219]) ).
fof(f226,plain,
cross_product(intersection(xr,cross_product(unordered_pair(x,x),universal_class)),universal_class) = sF7,
inference(forward_demodulation,[],[f223,f222]) ).
fof(f227,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(backward_demodulation,[],[f221,f224]) ).
fof(f228,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),xr),
inference(backward_demodulation,[],[f202,f224]) ).
fof(f229,plain,
flip(cross_product(intersection(xr,cross_product(unordered_pair(x,x),universal_class)),universal_class)) = sF8,
inference(backward_demodulation,[],[f213,f226]) ).
fof(f230,plain,
member(y,universal_class),
inference(resolution,[],[f227,f139]) ).
fof(f231,plain,
member(x,universal_class),
inference(resolution,[],[f227,f138]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( 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(X3))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X0,X0))),X3)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f140,f150]) ).
fof(f301,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(f311,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f301,f140]) ).
fof(f354,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f432,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f354,f3]) ).
fof(f443,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f445,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f443,f70]) ).
fof(f447,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f445,f7]) ).
fof(f449,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f450,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f449,f443]) ).
fof(f462,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f145,f450]) ).
fof(f463,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f471,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f463,f68]) ).
fof(f477,plain,
! [X0] : ~ member(X0,null_class),
inference(backward_demodulation,[],[f463,f471]) ).
fof(f489,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f477,f311]) ).
fof(f500,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(X0,domain_of(flip(X1)))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(X2,X2))),X1)
| ~ member(X2,universal_class) ),
inference(resolution,[],[f489,f253]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(X2,X2))),X1)
| member(X0,domain_of(flip(X1)))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),cross_product(universal_class,universal_class))
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f500]) ).
fof(f637,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5))),cross_product(universal_class,universal_class))
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5))),unordered_pair(X0,X0))
| member(X0,domain_of(flip(cross_product(X1,X2))))
| ~ member(X0,universal_class)
| ~ member(X3,X2)
| ~ member(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(X4,X4))),X1) ),
inference(resolution,[],[f511,f140]) ).
fof(f660,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))
| ~ member(X0,universal_class)
| member(X3,domain_of(flip(cross_product(X4,X5))))
| ~ member(X3,universal_class)
| ~ member(X0,X5)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X4)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f637,f140]) ).
fof(f671,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class) ),
inference(resolution,[],[f660,f10]) ).
fof(f678,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(duplicate_literal_removal,[],[f671]) ).
fof(f681,plain,
! [X2,X3,X0,X1,X4] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(X0,universal_class)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(forward_subsumption_resolution,[],[f678,f11]) ).
fof(f692,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(sF8))
| ~ member(X2,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),intersection(xr,cross_product(unordered_pair(x,x),universal_class)))
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f681,f229]) ).
fof(f695,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(sF8))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),intersection(xr,cross_product(unordered_pair(x,x),universal_class)))
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f692]) ).
fof(f701,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),intersection(xr,cross_product(unordered_pair(x,x),universal_class)))
| ~ member(X2,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF9)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f695,f215]) ).
fof(f837,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF9)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),cross_product(unordered_pair(x,x),universal_class))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr) ),
inference(resolution,[],[f701,f23]) ).
fof(f843,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),cross_product(unordered_pair(x,x),universal_class))
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF9)
| ~ member(X2,universal_class)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr) ),
inference(forward_subsumption_resolution,[],[f837,f139]) ).
fof(f845,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF9)
| ~ member(X1,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(x,x)) ),
inference(resolution,[],[f843,f140]) ).
fof(f860,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),xr)
| ~ member(X2,universal_class)
| ~ member(X0,unordered_pair(x,x))
| ~ member(X3,universal_class)
| member(X3,domain_of(sF9))
| ~ member(X0,universal_class)
| ~ member(X2,unordered_pair(X3,X3)) ),
inference(resolution,[],[f845,f489]) ).
fof(f868,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),xr)
| ~ member(X2,universal_class)
| ~ member(X0,unordered_pair(x,x))
| ~ member(X3,universal_class)
| member(X3,domain_of(sF9))
| ~ member(X2,unordered_pair(X3,X3)) ),
inference(duplicate_literal_removal,[],[f860]) ).
fof(f876,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),xr)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| member(X3,sF10)
| ~ member(X2,universal_class)
| ~ member(X0,unordered_pair(x,x))
| ~ member(X3,universal_class)
| ~ member(X2,unordered_pair(X3,X3)) ),
inference(forward_demodulation,[],[f868,f217]) ).
fof(f879,plain,
! [X0,X1] :
( ~ member(x,universal_class)
| ~ member(X0,universal_class)
| member(X1,sF10)
| ~ member(y,universal_class)
| ~ member(x,unordered_pair(x,x))
| ~ member(X1,universal_class)
| ~ member(y,unordered_pair(X1,X1)) ),
inference(resolution,[],[f876,f228]) ).
fof(f886,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X1,sF10)
| ~ member(y,universal_class)
| ~ member(x,unordered_pair(x,x))
| ~ member(X1,universal_class)
| ~ member(y,unordered_pair(X1,X1)) ),
inference(forward_subsumption_resolution,[],[f879,f231]) ).
fof(f887,plain,
! [X0,X1] :
( ~ member(y,unordered_pair(X1,X1))
| member(X1,sF10)
| ~ member(x,unordered_pair(x,x))
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f886,f230]) ).
fof(f889,plain,
! [X0] :
( member(y,sF10)
| ~ member(x,unordered_pair(x,x))
| ~ member(y,universal_class)
| ~ member(X0,universal_class)
| ~ member(y,universal_class) ),
inference(resolution,[],[f887,f10]) ).
fof(f893,plain,
! [X0] :
( member(y,sF10)
| ~ member(x,unordered_pair(x,x))
| ~ member(y,universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f889]) ).
fof(f895,plain,
! [X0] :
( ~ member(x,unordered_pair(x,x))
| ~ member(y,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f893,f218]) ).
fof(f897,plain,
! [X0] :
( ~ member(x,unordered_pair(x,x))
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f895,f230]) ).
fof(f900,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(x,universal_class) ),
inference(resolution,[],[f897,f10]) ).
fof(f904,plain,
! [X0] : ~ member(X0,universal_class),
inference(forward_subsumption_resolution,[],[f900,f231]) ).
fof(f927,plain,
$false,
inference(resolution,[],[f904,f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET330-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 01:27:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 10.17/2.05 % (3506244)Input is clausal, will run a generic CNF schedule.
% 10.17/2.05 % (3506253)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=813672101:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.17/2.05 % (3506252)lrs+10_1_sil=8000:sp=occurrence:random_seed=682301526:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.17/2.05 % (3506250)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1604081566:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.17/2.05 % (3506255)dis-21_1_sil=8000:lcm=predicate:random_seed=339701796: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)
% 10.17/2.05 % (3506251)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=336375669:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.17/2.05 % (3506254)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1726676032:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.17/2.05 % (3506249)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=923639198:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.17/2.05 % (3506252)Instruction limit reached!
% 10.17/2.05 % (3506252)------------------------------
% 10.17/2.05 % (3506252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.05 % (3506252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.05 % (3506252)CaDiCaL version: 2.1.3
% 10.17/2.05 % (3506252)Termination reason: Instruction limit
% 10.17/2.05 % (3506252)Termination phase: Saturation
% 10.17/2.05 % (3506252)Time elapsed: 0.058 s
% 10.17/2.05 % (3506252)Peak memory usage: 89 MB
% 10.17/2.05 % (3506252)Instructions burned: 108 (million)
% 10.17/2.05 % (3506255)Instruction limit reached!
% 10.17/2.05 % (3506255)------------------------------
% 10.17/2.05 % (3506255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.05 % (3506255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.05 % (3506255)CaDiCaL version: 2.1.3
% 10.17/2.05 % (3506255)Termination reason: Instruction limit
% 10.17/2.05 % (3506255)Termination phase: Saturation
% 10.17/2.05 % (3506255)Time elapsed: 0.063 s
% 10.17/2.05 % (3506255)Peak memory usage: 88 MB
% 10.17/2.05 % (3506255)Instructions burned: 117 (million)
% 10.17/2.05 % (3506253)Instruction limit reached!
% 10.17/2.05 % (3506253)------------------------------
% 10.17/2.05 % (3506253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.05 % (3506253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.05 % (3506253)CaDiCaL version: 2.1.3
% 10.17/2.05 % (3506253)Termination reason: Instruction limit
% 10.17/2.05 % (3506253)Termination phase: Saturation
% 10.17/2.05 % (3506253)Time elapsed: 0.066 s
% 10.17/2.05 % (3506253)Peak memory usage: 89 MB
% 10.17/2.05 % (3506253)Instructions burned: 115 (million)
% 10.17/2.05 % (3506254)Instruction limit reached!
% 10.17/2.05 % (3506254)------------------------------
% 10.17/2.05 % (3506254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.05 % (3506254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.05 % (3506254)CaDiCaL version: 2.1.3
% 10.17/2.05 % (3506254)Termination reason: Instruction limit
% 10.17/2.05 % (3506254)Termination phase: Saturation
% 10.17/2.05 % (3506254)Time elapsed: 0.131 s
% 10.17/2.05 % (3506254)Peak memory usage: 90 MB
% 10.17/2.05 % (3506254)Instructions burned: 181 (million)
% 10.17/2.05 % (3506264)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2961287086: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)
% 10.17/2.05 % (3506265)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1391186168:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.17/2.05 % (3506263)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=2169822007:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.17/2.05 % (3506264)Instruction limit reached!
% 10.17/2.05 % (3506264)------------------------------
% 10.17/2.05 % (3506264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.35 % (3506264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.35 % (3506264)CaDiCaL version: 2.1.3
% 19.07/3.35 % (3506264)Termination reason: Instruction limit
% 19.07/3.35 % (3506264)Termination phase: Saturation
% 19.07/3.35 % (3506264)Time elapsed: 0.063 s
% 19.07/3.35 % (3506264)Peak memory usage: 91 MB
% 19.07/3.35 % (3506264)Instructions burned: 192 (million)
% 19.07/3.35 % (3506266)lrs+10_64_to=lpo:sil=8000:random_seed=3411142461:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 19.07/3.35 % (3506263)Instruction limit reached!
% 19.07/3.35 % (3506263)------------------------------
% 19.07/3.35 % (3506263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.35 % (3506263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.35 % (3506263)CaDiCaL version: 2.1.3
% 19.07/3.35 % (3506263)Termination reason: Instruction limit
% 19.07/3.35 % (3506263)Termination phase: Saturation
% 19.07/3.35 % (3506263)Time elapsed: 0.095 s
% 19.07/3.35 % (3506263)Peak memory usage: 89 MB
% 19.07/3.35 % (3506263)Instructions burned: 143 (million)
% 19.07/3.35 % (3506265)Instruction limit reached!
% 19.07/3.35 % (3506265)------------------------------
% 19.07/3.35 % (3506265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.35 % (3506265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.35 % (3506265)CaDiCaL version: 2.1.3
% 19.07/3.35 % (3506265)Termination reason: Instruction limit
% 19.07/3.35 % (3506265)Termination phase: Saturation
% 19.07/3.35 % (3506265)Time elapsed: 0.116 s
% 19.07/3.35 % (3506265)Peak memory usage: 89 MB
% 19.07/3.35 % (3506265)Instructions burned: 219 (million)
% 19.07/3.35 % (3506266)Instruction limit reached!
% 19.07/3.35 % (3506266)------------------------------
% 19.07/3.35 % (3506266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.35 % (3506266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.35 % (3506266)CaDiCaL version: 2.1.3
% 19.07/3.35 % (3506266)Termination reason: Instruction limit
% 19.07/3.35 % (3506266)Termination phase: Saturation
% 19.07/3.35 % (3506266)Time elapsed: 0.081 s
% 19.07/3.35 % (3506266)Peak memory usage: 89 MB
% 19.07/3.35 % (3506266)Instructions burned: 127 (million)
% 19.07/3.35 % (3506270)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=76273007:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 19.07/3.35 % (3506270)Instruction limit reached!
% 19.07/3.35 % (3506270)------------------------------
% 19.07/3.35 % (3506270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.35 % (3506270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.35 % (3506270)CaDiCaL version: 2.1.3
% 19.07/3.35 % (3506270)Termination reason: Instruction limit
% 19.07/3.35 % (3506270)Termination phase: Saturation
% 19.07/3.35 % (3506270)Time elapsed: 0.065 s
% 19.07/3.35 % (3506270)Peak memory usage: 89 MB
% 19.07/3.35 % (3506270)Instructions burned: 197 (million)
% 19.07/3.35 % (3506272)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3743874646:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 19.07/3.35 % (3506273)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3256962225:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 19.07/3.35 % (3506274)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=2234969682:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 19.07/3.35 % (3506272)Instruction limit reached!
% 19.07/3.35 % (3506272)------------------------------
% 19.07/3.35 % (3506272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.07/3.35 % (3506272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.07/3.35 % (3506272)CaDiCaL version: 2.1.3
% 19.07/3.35 % (3506272)Termination reason: Instruction limit
% 19.07/3.35 % (3506272)Termination phase: Saturation
% 19.07/3.35 % (3506272)Time elapsed: 0.110 s
% 19.07/3.35 % (3506272)Peak memory usage: 91 MB
% 19.07/3.35 % (3506272)Instructions burned: 158 (million)
% 19.07/3.35 % (3506276)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2994791266:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 19.07/3.35 % (3506274)Instruction limit reached!
% 19.07/3.35 % (3506274)------------------------------
% 19.07/3.35 % (3506274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.32/5.33 % (3506274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.32/5.33 % (3506274)CaDiCaL version: 2.1.3
% 33.32/5.33 % (3506274)Termination reason: Instruction limit
% 33.32/5.33 % (3506274)Termination phase: Saturation
% 33.32/5.33 % (3506274)Time elapsed: 0.069 s
% 33.32/5.33 % (3506274)Peak memory usage: 92 MB
% 33.32/5.33 % (3506274)Instructions burned: 106 (million)
% 33.32/5.33 % (3506276)Instruction limit reached!
% 33.32/5.33 % (3506276)------------------------------
% 33.32/5.33 % (3506276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.32/5.33 % (3506276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.32/5.33 % (3506276)CaDiCaL version: 2.1.3
% 33.32/5.33 % (3506276)Termination reason: Instruction limit
% 33.32/5.33 % (3506276)Termination phase: Saturation
% 33.32/5.33 % (3506276)Time elapsed: 0.040 s
% 33.32/5.33 % (3506276)Peak memory usage: 89 MB
% 33.32/5.33 % (3506276)Instructions burned: 107 (million)
% 33.32/5.33 % (3506282)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=584126888:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 33.32/5.33 % (3506281)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3199308089:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 33.32/5.33 % (3506283)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2885544846:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 33.32/5.33 % (3506283)Instruction limit reached!
% 33.32/5.33 % (3506283)------------------------------
% 33.32/5.33 % (3506283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.32/5.33 % (3506283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.32/5.33 % (3506283)CaDiCaL version: 2.1.3
% 33.32/5.33 % (3506283)Termination reason: Instruction limit
% 33.32/5.33 % (3506283)Termination phase: Saturation
% 33.32/5.33 % (3506283)Time elapsed: 0.056 s
% 33.32/5.33 % (3506283)Peak memory usage: 90 MB
% 33.32/5.33 % (3506283)Instructions burned: 136 (million)
% 33.32/5.33 % (3506281)Instruction limit reached!
% 33.32/5.33 % (3506281)------------------------------
% 33.32/5.33 % (3506281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.32/5.33 % (3506281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.32/5.33 % (3506281)CaDiCaL version: 2.1.3
% 33.32/5.33 % (3506281)Termination reason: Instruction limit
% 33.32/5.33 % (3506281)Termination phase: Saturation
% 33.32/5.33 % (3506281)Time elapsed: 0.173 s
% 33.32/5.33 % (3506281)Peak memory usage: 90 MB
% 33.32/5.33 % (3506281)Instructions burned: 244 (million)
% 33.32/5.33 % (3506287)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1555975856:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 33.32/5.33 % (3506287)Instruction limit reached!
% 33.32/5.33 % (3506287)------------------------------
% 33.32/5.33 % (3506287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.32/5.33 % (3506287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.32/5.33 % (3506287)CaDiCaL version: 2.1.3
% 33.32/5.33 % (3506287)Termination reason: Instruction limit
% 33.32/5.33 % (3506287)Termination phase: Saturation
% 33.32/5.33 % (3506287)Time elapsed: 0.142 s
% 33.32/5.33 % (3506287)Peak memory usage: 94 MB
% 33.32/5.33 % (3506287)Instructions burned: 502 (million)
% 33.32/5.33 % (3506288)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1987795267:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 33.32/5.33 % (3506290)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1755822309:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 33.32/5.33 % (3506288)Instruction limit reached!
% 33.32/5.33 % (3506288)------------------------------
% 33.32/5.33 % (3506288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.32/5.33 % (3506288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.32/5.33 % (3506288)CaDiCaL version: 2.1.3
% 33.32/5.33 % (3506288)Termination reason: Instruction limit
% 33.32/5.33 % (3506288)Termination phase: Saturation
% 33.32/5.33 % (3506288)Time elapsed: 0.107 s
% 33.32/5.33 % (3506288)Peak memory usage: 89 MB
% 33.32/5.33 % (3506288)Instructions burned: 192 (million)
% 33.32/5.33 % (3506290)Instruction limit reached!
% 33.32/5.33 % (3506290)------------------------------
% 38.53/6.11 % (3506290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506290)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506290)Termination reason: Instruction limit
% 38.53/6.11 % (3506290)Termination phase: Saturation
% 38.53/6.11 % (3506290)Time elapsed: 0.092 s
% 38.53/6.11 % (3506290)Peak memory usage: 91 MB
% 38.53/6.11 % (3506290)Instructions burned: 265 (million)
% 38.53/6.11 % (3506293)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3308625213:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 38.53/6.11 % (3506294)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=226603255:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 38.53/6.11 % (3506293)Instruction limit reached!
% 38.53/6.11 % (3506293)------------------------------
% 38.53/6.11 % (3506293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506293)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506293)Termination reason: Instruction limit
% 38.53/6.11 % (3506293)Termination phase: Saturation
% 38.53/6.11 % (3506293)Time elapsed: 0.091 s
% 38.53/6.11 % (3506293)Peak memory usage: 89 MB
% 38.53/6.11 % (3506293)Instructions burned: 157 (million)
% 38.53/6.11 % (3506297)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3156876480:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 38.53/6.11 % (3506297)Instruction limit reached!
% 38.53/6.11 % (3506297)------------------------------
% 38.53/6.11 % (3506297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506297)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506297)Termination reason: Instruction limit
% 38.53/6.11 % (3506297)Termination phase: Saturation
% 38.53/6.11 % (3506297)Time elapsed: 0.189 s
% 38.53/6.11 % (3506297)Peak memory usage: 87 MB
% 38.53/6.11 % (3506297)Instructions burned: 539 (million)
% 38.53/6.11 % (3506299)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2622912601:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 38.53/6.11 % (3506299)Instruction limit reached!
% 38.53/6.11 % (3506299)------------------------------
% 38.53/6.11 % (3506299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506299)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506299)Termination reason: Instruction limit
% 38.53/6.11 % (3506299)Termination phase: Saturation
% 38.53/6.11 % (3506299)Time elapsed: 0.095 s
% 38.53/6.11 % (3506299)Peak memory usage: 90 MB
% 38.53/6.11 % (3506299)Instructions burned: 180 (million)
% 38.53/6.11 % (3506301)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=3412456278:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 38.53/6.11 % (3506294)Instruction limit reached!
% 38.53/6.11 % (3506294)------------------------------
% 38.53/6.11 % (3506294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506294)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506294)Termination reason: Instruction limit
% 38.53/6.11 % (3506294)Termination phase: Saturation
% 38.53/6.11 % (3506294)Time elapsed: 1.032 s
% 38.53/6.11 % (3506294)Peak memory usage: 151 MB
% 38.53/6.11 % (3506294)Instructions burned: 3257 (million)
% 38.53/6.11 % (3506303)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=330863691:i=412:gtgl=4:gtg=exists_all_2974 on theBenchmark for (2974ds/412Mi)
% 38.53/6.11 % (3506273)Instruction limit reached!
% 38.53/6.11 % (3506273)------------------------------
% 38.53/6.11 % (3506273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506273)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506273)Termination reason: Instruction limit
% 38.53/6.11 % (3506273)Termination phase: Saturation
% 38.53/6.11 % (3506273)Time elapsed: 2.094 s
% 38.53/6.11 % (3506273)Peak memory usage: 146 MB
% 38.53/6.11 % (3506273)Instructions burned: 3395 (million)
% 38.53/6.11 % (3506303)Instruction limit reached!
% 38.53/6.11 % (3506303)------------------------------
% 38.53/6.11 % (3506303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506303)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506303)Termination reason: Instruction limit
% 38.53/6.11 % (3506303)Termination phase: Saturation
% 38.53/6.11 % (3506303)Time elapsed: 0.098 s
% 38.53/6.11 % (3506303)Peak memory usage: 90 MB
% 38.53/6.11 % (3506303)Instructions burned: 415 (million)
% 38.53/6.11 % (3506305)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=2455236211:s2pl=no:i=8478:s2at=4:nm=6_2972 on theBenchmark for (2972ds/8478Mi)
% 38.53/6.11 % (3506306)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=213813479:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2971 on theBenchmark for (2971ds/303Mi)
% 38.53/6.11 % (3506306)Instruction limit reached!
% 38.53/6.11 % (3506306)------------------------------
% 38.53/6.11 % (3506306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506306)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506306)Termination reason: Instruction limit
% 38.53/6.11 % (3506306)Termination phase: Saturation
% 38.53/6.11 % (3506306)Time elapsed: 0.072 s
% 38.53/6.11 % (3506306)Peak memory usage: 91 MB
% 38.53/6.11 % (3506306)Instructions burned: 304 (million)
% 38.53/6.11 % (3506309)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2922584410:st=4:i=720:sd=3:fsr=off:ss=axioms_2969 on theBenchmark for (2969ds/720Mi)
% 38.53/6.11 % (3506309)Instruction limit reached!
% 38.53/6.11 % (3506309)------------------------------
% 38.53/6.11 % (3506309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506309)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506309)Termination reason: Instruction limit
% 38.53/6.11 % (3506309)Termination phase: Saturation
% 38.53/6.11 % (3506309)Time elapsed: 0.211 s
% 38.53/6.11 % (3506309)Peak memory usage: 98 MB
% 38.53/6.11 % (3506309)Instructions burned: 720 (million)
% 38.53/6.11 % (3506311)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=4277575577:i=598:bs=on:bd=preordered:av=off:ss=axioms_2966 on theBenchmark for (2966ds/598Mi)
% 38.53/6.11 % (3506311)Instruction limit reached!
% 38.53/6.11 % (3506311)------------------------------
% 38.53/6.11 % (3506311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506311)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506311)Termination reason: Instruction limit
% 38.53/6.11 % (3506311)Termination phase: Saturation
% 38.53/6.11 % (3506311)Time elapsed: 0.165 s
% 38.53/6.11 % (3506311)Peak memory usage: 94 MB
% 38.53/6.11 % (3506311)Instructions burned: 601 (million)
% 38.53/6.11 % (3506313)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3841618701:i=2989:sd=3:ss=axioms:sgt=60_2963 on theBenchmark for (2963ds/2989Mi)
% 38.53/6.11 % (3506282)Instruction limit reached!
% 38.53/6.11 % (3506282)------------------------------
% 38.53/6.11 % (3506282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506282)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506282)Termination reason: Instruction limit
% 38.53/6.11 % (3506282)Termination phase: Saturation
% 38.53/6.11 % (3506282)Time elapsed: 3.355 s
% 38.53/6.11 % (3506282)Peak memory usage: 156 MB
% 38.53/6.11 % (3506282)Instructions burned: 5209 (million)
% 38.53/6.11 % (3506315)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=3281347863:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2957 on theBenchmark for (2957ds/1997Mi)
% 38.53/6.11 % (3506313)Instruction limit reached!
% 38.53/6.11 % (3506313)------------------------------
% 38.53/6.11 % (3506313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.53/6.11 % (3506313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.53/6.11 % (3506313)CaDiCaL version: 2.1.3
% 38.53/6.11 % (3506313)Termination reason: Instruction limit
% 38.53/6.11 % (3506313)Termination phase: Saturation
% 38.53/6.11 % (3506313)Time elapsed: 0.957 s
% 38.53/6.11 % (3506313)Peak memory usage: 138 MB
% 38.53/6.11 % (3506313)Instructions burned: 2996 (million)
% 38.53/6.11 % (3506317)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=2250739262:i=2088:bd=preordered:av=off_2952 on theBenchmark for (2952ds/2088Mi)
% 38.53/6.11 % (3506317)First to succeed.
% 38.53/6.11 % (3506317)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3506244"
% 38.53/6.11 % (3506317)Refutation found. Thanks to Tanya!
% 38.53/6.11 % SZS status Unsatisfiable for theBenchmark
% 38.53/6.11 % SZS output start Proof for theBenchmark
% See solution above
% 39.30/6.33 % (3506317)------------------------------
% 39.30/6.33 % (3506317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.30/6.33 % (3506317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.30/6.33 % (3506317)CaDiCaL version: 2.1.3
% 39.30/6.33 % (3506317)Termination reason: Refutation
% 39.30/6.33 % (3506317)Time elapsed: 0.481 s
% 39.30/6.33 % (3506317)Peak memory usage: 132 MB
% 39.30/6.33 % (3506317)Instructions burned: 1286 (million)
% 39.30/6.33 % (3506317)------------------------------
% 39.30/6.33 % (3506317)------------------------------
% 39.30/6.33 % (3506244)Success in time 5.498 s
% 39.30/6.33 % Vampire exiting
%------------------------------------------------------------------------------