%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET311-6 : 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 : n014.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 12:40:44 PM UTC 2026
% Result : Unsatisfiable 27.31s 5.03s
% Output : Refutation 28.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 30
% Syntax : Number of formulae : 109 ( 30 unt; 7 def)
% Number of atoms : 310 ( 33 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 389 ( 188 ~; 201 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 239 ( 239 !; 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(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(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(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(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
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(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
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,
~ subclass(intersection(x,cross_product(universal_class,universal_class)),cross_product(universal_class,range_of(x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_range_property1_1) ).
fof(f124,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] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f136,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,f127]) ).
fof(f137,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,f127]) ).
fof(f138,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,f127]) ).
fof(f139,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f127]) ).
fof(f144,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(f148,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,f127,f127,f127,f127,f127,f127]) ).
fof(f185,plain,
~ subclass(intersection(x,cross_product(universal_class,universal_class)),cross_product(universal_class,domain_of(domain_of(flip(cross_product(x,universal_class)))))),
inference(definition_unfolding,[],[f122,f124]) ).
fof(f190,definition,
sF0 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(universal_class,universal_class) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = intersection(x,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
intersection(x,sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
cross_product(x,universal_class) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = flip(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
flip(sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = domain_of(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
domain_of(sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = cross_product(universal_class,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
cross_product(universal_class,sF5) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,plain,
~ subclass(sF1,sF6),
inference(definition_folding,[],[f185,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f212,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| member(X1,universal_class) ),
inference(superposition,[],[f137,f195]) ).
fof(f217,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,x) ),
inference(superposition,[],[f21,f193]) ).
fof(f218,plain,
! [X0] :
( member(not_subclass_element(sF1,X0),x)
| subclass(sF1,X0) ),
inference(resolution,[],[f217,f2]) ).
fof(f223,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF0) ),
inference(superposition,[],[f22,f193]) ).
fof(f224,plain,
! [X0] :
( member(not_subclass_element(sF1,X0),sF0)
| subclass(sF1,X0) ),
inference(resolution,[],[f223,f2]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f137,f139]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f136,f139]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f230]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f229]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| ~ member(second(X0),X2)
| ~ member(first(X0),X1)
| member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f138,f139]) ).
fof(f236,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,x) ),
inference(superposition,[],[f138,f195]) ).
fof(f238,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f138,f191]) ).
fof(f243,plain,
! [X2,X0,X1] :
( member(X0,cross_product(X2,X1))
| ~ member(second(X0),X1)
| ~ member(first(X0),X2)
| ~ member(X0,sF0) ),
inference(superposition,[],[f235,f191]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X0,X1),X2)
| member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0) ),
inference(resolution,[],[f1,f23]) ).
fof(f253,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f231,f191]) ).
fof(f274,plain,
! [X0] :
( member(second(X0),universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f232,f191]) ).
fof(f280,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(resolution,[],[f4,f247]) ).
fof(f281,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f280]) ).
fof(f305,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,f144]) ).
fof(f318,plain,
! [X0] :
( member(X0,sF6)
| ~ member(second(X0),sF5)
| ~ member(first(X0),universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f243,f203]) ).
fof(f322,plain,
! [X0] :
( ~ member(second(X0),sF5)
| member(X0,sF6)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f318,f253]) ).
fof(f385,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,[],[f305,f138]) ).
fof(f390,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,[],[f148,f138]) ).
fof(f402,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))),sF0)
| ~ member(X2,universal_class) ),
inference(forward_demodulation,[],[f390,f191]) ).
fof(f410,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF3)
| ~ 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))),sF2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X2,universal_class) ),
inference(superposition,[],[f402,f197]) ).
fof(f411,plain,
! [X2,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))),sF2)
| 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))),sF3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0) ),
inference(forward_subsumption_resolution,[],[f410,f212]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0))))),unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X1,X1))),sF3)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(X0,cross_product(X2,X3)) ),
inference(superposition,[],[f411,f139]) ).
fof(f568,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f281]) ).
fof(f577,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f1009,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f568,f577]) ).
fof(f1014,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f1009]) ).
fof(f1016,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f1014]) ).
fof(f1017,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f1016,f281]) ).
fof(f2639,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(X0,cross_product(X2,X3))
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0))))),unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X1,X1))),null_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF3))
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X4,X4)) ),
inference(resolution,[],[f415,f385]) ).
fof(f2653,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(X0,cross_product(X2,X3))
| ~ member(X4,universal_class)
| member(X4,domain_of(sF3))
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X4,X4)) ),
inference(forward_subsumption_resolution,[],[f2639,f1017]) ).
fof(f2658,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(X0,cross_product(X2,X3))
| ~ member(X4,universal_class)
| member(X4,domain_of(sF3))
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X4,X4)) ),
inference(forward_subsumption_resolution,[],[f2653,f212]) ).
fof(f2661,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X4,X4))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(X0,cross_product(X2,X3))
| ~ member(X4,universal_class)
| member(X4,sF4) ),
inference(forward_demodulation,[],[f2658,f199]) ).
fof(f2663,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(X0,cross_product(X2,X3))
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),universal_class)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF4)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),universal_class) ),
inference(resolution,[],[f2661,f10]) ).
fof(f2664,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(X0,cross_product(X2,X3))
| ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),universal_class)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF4) ),
inference(duplicate_literal_removal,[],[f2663]) ).
fof(f2666,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X0,cross_product(X2,X3))
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF4) ),
inference(forward_subsumption_resolution,[],[f2664,f11]) ).
fof(f2670,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF4)
| ~ member(X0,cross_product(X2,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f2666,f238]) ).
fof(f2672,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),sF2)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF4))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(resolution,[],[f2670,f385]) ).
fof(f2677,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),sF2)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF4))
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(duplicate_literal_removal,[],[f2672]) ).
fof(f2679,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),sF2)
| ~ member(first(X0),universal_class)
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF4))
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(forward_subsumption_resolution,[],[f2677,f281]) ).
fof(f2681,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),sF2)
| ~ member(first(X0),universal_class)
| ~ member(X4,universal_class)
| member(X4,domain_of(sF4))
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(forward_subsumption_resolution,[],[f2679,f1017]) ).
fof(f2682,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X3,X3))),sF2)
| ~ member(X0,cross_product(X1,X2))
| member(X4,sF5)
| ~ member(first(X0),universal_class)
| ~ member(X4,universal_class)
| ~ member(second(X0),unordered_pair(X4,X4)) ),
inference(forward_demodulation,[],[f2681,f201]) ).
fof(f2683,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(X3,sF5)
| ~ member(first(X0),universal_class)
| ~ member(X3,universal_class)
| ~ member(second(X0),unordered_pair(X3,X3))
| ~ member(X4,universal_class)
| ~ member(X0,x) ),
inference(resolution,[],[f2682,f236]) ).
fof(f2690,plain,
! [X2,X3,X0,X1] :
( ~ member(second(X0),unordered_pair(X3,X3))
| member(X3,sF5)
| ~ member(first(X0),universal_class)
| ~ member(X3,universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X0,x) ),
inference(condensation,[],[f2683]) ).
fof(f2990,plain,
! [X2,X0,X1] :
( member(second(X0),sF5)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X0,x)
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f2690,f10]) ).
fof(f2991,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(second(X0),sF5)
| ~ member(X0,x) ),
inference(duplicate_literal_removal,[],[f2990]) ).
fof(f3010,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| member(second(X0),sF5)
| ~ member(X0,x) ),
inference(superposition,[],[f2991,f191]) ).
fof(f3025,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(second(X0),universal_class)
| member(second(X0),sF5)
| ~ member(X0,x) ),
inference(forward_subsumption_resolution,[],[f3010,f253]) ).
fof(f3030,plain,
! [X0] :
( member(second(X0),sF5)
| ~ member(X0,sF0)
| ~ member(X0,x) ),
inference(forward_subsumption_resolution,[],[f3025,f274]) ).
fof(f3037,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x)
| member(X0,sF6)
| ~ member(X0,sF0) ),
inference(resolution,[],[f3030,f322]) ).
fof(f3040,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x)
| member(X0,sF6) ),
inference(duplicate_literal_removal,[],[f3037]) ).
fof(f3042,plain,
! [X0] :
( ~ member(not_subclass_element(sF1,X0),x)
| member(not_subclass_element(sF1,X0),sF6)
| subclass(sF1,X0) ),
inference(resolution,[],[f3040,f224]) ).
fof(f3060,plain,
! [X0] :
( member(not_subclass_element(sF1,X0),sF6)
| subclass(sF1,X0) ),
inference(forward_subsumption_resolution,[],[f3042,f218]) ).
fof(f3061,plain,
( subclass(sF1,sF6)
| subclass(sF1,sF6) ),
inference(resolution,[],[f3060,f3]) ).
fof(f3071,plain,
subclass(sF1,sF6),
inference(duplicate_literal_removal,[],[f3061]) ).
fof(f3073,plain,
$false,
inference(forward_subsumption_resolution,[],[f3071,f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET311-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n014.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 28 01:24:02 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.47 Running first-order theorem proving
% 0.13/0.47 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
% 16.72/3.45 % (1344304)Input is clausal, will run a generic CNF schedule.
% 16.72/3.45 % (1344312)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=3155815140:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.72/3.45 % (1344318)dis-21_1_sil=8000:lcm=predicate:random_seed=3034500220: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)
% 16.72/3.45 % (1344313)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3010724236:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.72/3.45 % (1344316)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=164782304:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.72/3.45 % (1344315)lrs+10_1_sil=8000:sp=occurrence:random_seed=1302755247:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.72/3.45 % (1344314)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1929366818:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.72/3.45 % (1344315)Refutation not found, incomplete strategy
% 16.72/3.45 % (1344315)------------------------------
% 16.72/3.45 % (1344315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.72/3.45 % (1344315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.72/3.45 % (1344315)CaDiCaL version: 2.1.3
% 16.72/3.45 % (1344315)Termination reason: Refutation not found, incomplete strategy
% 16.72/3.45 % (1344315)Time elapsed: 0.002 s
% 16.72/3.45 % (1344315)Peak memory usage: 88 MB
% 16.72/3.45 % (1344315)Instructions burned: 1 (million)
% 16.72/3.45 % (1344318)Instruction limit reached!
% 16.72/3.45 % (1344318)------------------------------
% 16.72/3.45 % (1344318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.72/3.45 % (1344318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.72/3.45 % (1344318)CaDiCaL version: 2.1.3
% 16.72/3.45 % (1344318)Termination reason: Instruction limit
% 16.72/3.45 % (1344318)Termination phase: Saturation
% 16.72/3.45 % (1344318)Time elapsed: 0.057 s
% 16.72/3.45 % (1344318)Peak memory usage: 89 MB
% 16.72/3.45 % (1344318)Instructions burned: 118 (million)
% 16.72/3.45 % (1344317)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=666675313:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.72/3.45 % (1344316)Instruction limit reached!
% 16.72/3.45 % (1344316)------------------------------
% 16.72/3.45 % (1344316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.72/3.45 % (1344316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.72/3.45 % (1344316)CaDiCaL version: 2.1.3
% 16.72/3.45 % (1344316)Termination reason: Instruction limit
% 16.72/3.45 % (1344316)Termination phase: Saturation
% 16.72/3.45 % (1344316)Time elapsed: 0.105 s
% 16.72/3.45 % (1344316)Peak memory usage: 88 MB
% 16.72/3.45 % (1344316)Instructions burned: 114 (million)
% 16.72/3.45 % (1344317)Instruction limit reached!
% 16.72/3.45 % (1344317)------------------------------
% 16.72/3.45 % (1344317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.72/3.45 % (1344317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.72/3.46 % (1344317)CaDiCaL version: 2.1.3
% 16.72/3.46 % (1344317)Termination reason: Instruction limit
% 16.72/3.46 % (1344317)Termination phase: Saturation
% 16.72/3.46 % (1344317)Time elapsed: 0.187 s
% 16.72/3.46 % (1344317)Peak memory usage: 90 MB
% 16.72/3.46 % (1344317)Instructions burned: 180 (million)
% 16.72/3.46 % (1344326)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=958227002:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 16.72/3.46 % (1344326)Refutation not found, incomplete strategy
% 16.72/3.46 % (1344326)------------------------------
% 16.72/3.46 % (1344326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.72/3.46 % (1344326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.72/3.46 % (1344326)CaDiCaL version: 2.1.3
% 16.72/3.46 % (1344326)Termination reason: Refutation not found, incomplete strategy
% 16.72/3.46 % (1344326)Time elapsed: 0.003 s
% 16.72/3.46 % (1344326)Peak memory usage: 88 MB
% 16.72/3.46 % (1344326)Instructions burned: 4 (million)
% 16.72/3.46 % (1344328)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1592614537:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 27.31/5.03 % (1344328)Refutation not found, incomplete strategy
% 27.31/5.03 % (1344328)------------------------------
% 27.31/5.03 % (1344328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344328)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344328)Termination reason: Refutation not found, incomplete strategy
% 27.31/5.03 % (1344328)Time elapsed: 0.018 s
% 27.31/5.03 % (1344328)Peak memory usage: 89 MB
% 27.31/5.03 % (1344328)Instructions burned: 20 (million)
% 27.31/5.03 % (1344315)------------------------------
% 27.31/5.03 % (1344315)------------------------------
% 27.31/5.03 % (1344330)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3915755773:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 27.31/5.03 % (1344330)Instruction limit reached!
% 27.31/5.03 % (1344330)------------------------------
% 27.31/5.03 % (1344330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344330)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344330)Termination reason: Instruction limit
% 27.31/5.03 % (1344330)Termination phase: Saturation
% 27.31/5.03 % (1344330)Time elapsed: 0.117 s
% 27.31/5.03 % (1344330)Peak memory usage: 88 MB
% 27.31/5.03 % (1344330)Instructions burned: 219 (million)
% 27.31/5.03 % (1344333)lrs+10_64_to=lpo:sil=8000:random_seed=2609686772:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 27.31/5.03 % (1344326)------------------------------
% 27.31/5.03 % (1344326)------------------------------
% 27.31/5.03 % (1344333)Instruction limit reached!
% 27.31/5.03 % (1344333)------------------------------
% 27.31/5.03 % (1344333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344333)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344333)Termination reason: Instruction limit
% 27.31/5.03 % (1344333)Termination phase: Saturation
% 27.31/5.03 % (1344333)Time elapsed: 0.132 s
% 27.31/5.03 % (1344333)Peak memory usage: 89 MB
% 27.31/5.03 % (1344333)Instructions burned: 126 (million)
% 27.31/5.03 % (1344334)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3982844122:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 27.31/5.03 % (1344328)------------------------------
% 27.31/5.03 % (1344328)------------------------------
% 27.31/5.03 % (1344334)Instruction limit reached!
% 27.31/5.03 % (1344334)------------------------------
% 27.31/5.03 % (1344334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344334)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344334)Termination reason: Instruction limit
% 27.31/5.03 % (1344334)Termination phase: Saturation
% 27.31/5.03 % (1344334)Time elapsed: 0.102 s
% 27.31/5.03 % (1344334)Peak memory usage: 89 MB
% 27.31/5.03 % (1344334)Instructions burned: 196 (million)
% 27.31/5.03 % (1344337)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3005026714:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 27.31/5.03 % (1344338)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2679856003:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 27.31/5.03 % (1344337)Instruction limit reached!
% 27.31/5.03 % (1344337)------------------------------
% 27.31/5.03 % (1344337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344337)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344337)Termination reason: Instruction limit
% 27.31/5.03 % (1344337)Termination phase: Saturation
% 27.31/5.03 % (1344337)Time elapsed: 0.172 s
% 27.31/5.03 % (1344337)Peak memory usage: 91 MB
% 27.31/5.03 % (1344337)Instructions burned: 157 (million)
% 27.31/5.03 % (1344340)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=1268486751:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 27.31/5.03 % (1344344)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1211106015:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 27.31/5.03 % (1344340)Instruction limit reached!
% 27.31/5.03 % (1344340)------------------------------
% 27.31/5.03 % (1344340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344340)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344340)Termination reason: Instruction limit
% 27.31/5.03 % (1344340)Termination phase: Saturation
% 27.31/5.03 % (1344340)Time elapsed: 0.074 s
% 27.31/5.03 % (1344340)Peak memory usage: 88 MB
% 27.31/5.03 % (1344340)Instructions burned: 106 (million)
% 27.31/5.03 % (1344344)Instruction limit reached!
% 27.31/5.03 % (1344344)------------------------------
% 27.31/5.03 % (1344344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344344)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344344)Termination reason: Instruction limit
% 27.31/5.03 % (1344344)Termination phase: Saturation
% 27.31/5.03 % (1344344)Time elapsed: 0.066 s
% 27.31/5.03 % (1344344)Peak memory usage: 89 MB
% 27.31/5.03 % (1344344)Instructions burned: 110 (million)
% 27.31/5.03 % (1344347)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4280897040:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 27.31/5.03 % (1344352)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4240883958:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 27.31/5.03 % (1344347)Instruction limit reached!
% 27.31/5.03 % (1344347)------------------------------
% 27.31/5.03 % (1344347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344347)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344347)Termination reason: Instruction limit
% 27.31/5.03 % (1344347)Termination phase: Saturation
% 27.31/5.03 % (1344347)Time elapsed: 0.192 s
% 27.31/5.03 % (1344347)Peak memory usage: 90 MB
% 27.31/5.03 % (1344347)Instructions burned: 242 (million)
% 27.31/5.03 % (1344351)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2306274244:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 27.31/5.03 % (1344352)Instruction limit reached!
% 27.31/5.03 % (1344352)------------------------------
% 27.31/5.03 % (1344352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344352)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344352)Termination reason: Instruction limit
% 27.31/5.03 % (1344352)Termination phase: Saturation
% 27.31/5.03 % (1344352)Time elapsed: 0.083 s
% 27.31/5.03 % (1344352)Peak memory usage: 90 MB
% 27.31/5.03 % (1344352)Instructions burned: 135 (million)
% 27.31/5.03 % (1344358)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=793008438:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 27.31/5.03 % (1344356)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=315396923:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 27.31/5.03 % (1344358)Instruction limit reached!
% 27.31/5.03 % (1344358)------------------------------
% 27.31/5.03 % (1344358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344358)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344358)Termination reason: Instruction limit
% 27.31/5.03 % (1344358)Termination phase: Saturation
% 27.31/5.03 % (1344358)Time elapsed: 0.097 s
% 27.31/5.03 % (1344358)Peak memory usage: 89 MB
% 27.31/5.03 % (1344358)Instructions burned: 192 (million)
% 27.31/5.03 % (1344361)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3481987000:i=264:kws=precedence:fsr=off_2979 on theBenchmark for (2979ds/264Mi)
% 27.31/5.03 % (1344356)Instruction limit reached!
% 27.31/5.03 % (1344356)------------------------------
% 27.31/5.03 % (1344356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344356)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344356)Termination reason: Instruction limit
% 27.31/5.03 % (1344356)Termination phase: Saturation
% 27.31/5.03 % (1344356)Time elapsed: 0.478 s
% 27.31/5.03 % (1344356)Peak memory usage: 93 MB
% 27.31/5.03 % (1344356)Instructions burned: 499 (million)
% 27.31/5.03 % (1344361)Instruction limit reached!
% 27.31/5.03 % (1344361)------------------------------
% 27.31/5.03 % (1344361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344361)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344361)Termination reason: Instruction limit
% 27.31/5.03 % (1344361)Termination phase: Saturation
% 27.31/5.03 % (1344361)Time elapsed: 0.279 s
% 27.31/5.03 % (1344361)Peak memory usage: 91 MB
% 27.31/5.03 % (1344361)Instructions burned: 265 (million)
% 27.31/5.03 % (1344364)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2945303957:cond=on:i=156:bs=on:gtg=exists_all:er=known_2976 on theBenchmark for (2976ds/156Mi)
% 27.31/5.03 % (1344364)Instruction limit reached!
% 27.31/5.03 % (1344364)------------------------------
% 27.31/5.03 % (1344364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344364)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344364)Termination reason: Instruction limit
% 27.31/5.03 % (1344364)Termination phase: Saturation
% 27.31/5.03 % (1344364)Time elapsed: 0.084 s
% 27.31/5.03 % (1344364)Peak memory usage: 90 MB
% 27.31/5.03 % (1344364)Instructions burned: 157 (million)
% 27.31/5.03 % (1344365)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=937007000:i=3256:kws=precedence:bd=preordered:av=off_2974 on theBenchmark for (2974ds/3256Mi)
% 27.31/5.03 % (1344368)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3007757731:i=537:av=off:ss=included_2972 on theBenchmark for (2972ds/537Mi)
% 27.31/5.03 % (1344368)Refutation not found, incomplete strategy
% 27.31/5.03 % (1344368)------------------------------
% 27.31/5.03 % (1344368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344368)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344368)Termination reason: Refutation not found, incomplete strategy
% 27.31/5.03 % (1344368)Time elapsed: 0.002 s
% 27.31/5.03 % (1344368)Peak memory usage: 87 MB
% 27.31/5.03 % (1344368)Instructions burned: 1 (million)
% 27.31/5.03 % (1344368)------------------------------
% 27.31/5.03 % (1344368)------------------------------
% 27.31/5.03 % (1344373)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=473993596:i=180:bd=preordered:av=off_2968 on theBenchmark for (2968ds/180Mi)
% 27.31/5.03 % (1344373)Instruction limit reached!
% 27.31/5.03 % (1344373)------------------------------
% 27.31/5.03 % (1344373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.31/5.03 % (1344373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.31/5.03 % (1344373)CaDiCaL version: 2.1.3
% 27.31/5.03 % (1344373)Termination reason: Instruction limit
% 27.31/5.03 % (1344373)Termination phase: Saturation
% 27.31/5.03 % (1344373)Time elapsed: 0.091 s
% 27.31/5.03 % (1344373)Peak memory usage: 90 MB
% 27.31/5.03 % (1344373)Instructions burned: 181 (million)
% 27.31/5.03 % (1344351)First to succeed.
% 27.31/5.03 % (1344351)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1344304"
% 27.31/5.03 % (1344375)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=3585378623:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2964 on theBenchmark for (2964ds/10307Mi)
% 27.31/5.03 % (1344351)Refutation found. Thanks to Tanya!
% 27.31/5.03 % SZS status Unsatisfiable for theBenchmark
% 27.31/5.03 % SZS output start Proof for theBenchmark
% See solution above
% 28.81/5.34 % (1344351)------------------------------
% 28.81/5.34 % (1344351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.81/5.34 % (1344351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.81/5.34 % (1344351)CaDiCaL version: 2.1.3
% 28.81/5.34 % (1344351)Termination reason: Refutation
% 28.81/5.34 % (1344351)Time elapsed: 1.867 s
% 28.81/5.34 % (1344351)Peak memory usage: 135 MB
% 28.81/5.34 % (1344351)Instructions burned: 1796 (million)
% 28.81/5.34 % (1344351)------------------------------
% 28.81/5.34 % (1344351)------------------------------
% 28.81/5.34 % (1344304)Success in time 3.967 s
% 28.81/5.34 % Vampire exiting
%------------------------------------------------------------------------------