%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET315-6 : 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 : n013.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 12:40:45 PM UTC 2026
% Result : Unsatisfiable 14.35s 2.97s
% Output : Refutation 15.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 32
% Syntax : Number of formulae : 135 ( 34 unt; 8 def)
% Number of atoms : 377 ( 40 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 464 ( 222 ~; 242 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 12 con; 0-3 aty)
% Number of variables : 246 ( 246 !; 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(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(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,
restrict(xr,x,range_of(xr)) != restrict(xr,x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_range_property3_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,
intersection(xr,cross_product(x,domain_of(domain_of(flip(cross_product(xr,universal_class)))))) != intersection(xr,cross_product(x,universal_class)),
inference(definition_unfolding,[],[f122,f28,f124,f28]) ).
fof(f190,definition,
sF0 = cross_product(xr,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(xr,universal_class) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = flip(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
flip(sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = domain_of(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
domain_of(sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = cross_product(x,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
cross_product(x,sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = intersection(xr,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
intersection(xr,sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
cross_product(x,universal_class) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = intersection(xr,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
intersection(xr,sF6) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,plain,
sF5 != sF7,
inference(definition_folding,[],[f185,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f212,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF5)
| ~ member(X0,xr) ),
inference(superposition,[],[f23,f201]) ).
fof(f213,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF7)
| ~ member(X0,xr) ),
inference(superposition,[],[f23,f205]) ).
fof(f231,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,xr) ),
inference(superposition,[],[f21,f201]) ).
fof(f232,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,xr) ),
inference(superposition,[],[f21,f205]) ).
fof(f235,plain,
! [X0] :
( member(not_subclass_element(sF7,X0),xr)
| subclass(sF7,X0) ),
inference(resolution,[],[f232,f2]) ).
fof(f239,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),xr)
| subclass(sF5,X0) ),
inference(resolution,[],[f231,f2]) ).
fof(f256,plain,
! [X0] :
( ~ member(X0,sF5)
| member(X0,sF4) ),
inference(superposition,[],[f22,f201]) ).
fof(f257,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF6) ),
inference(superposition,[],[f22,f205]) ).
fof(f261,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF4)
| subclass(sF5,X0) ),
inference(resolution,[],[f256,f2]) ).
fof(f262,plain,
! [X0] :
( member(not_subclass_element(sF7,X0),sF6)
| subclass(sF7,X0) ),
inference(resolution,[],[f257,f2]) ).
fof(f275,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,universal_class) ),
inference(superposition,[],[f137,f191]) ).
fof(f281,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,universal_class)
| ~ member(X0,xr) ),
inference(superposition,[],[f138,f191]) ).
fof(f282,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,sF3)
| ~ member(X0,x) ),
inference(superposition,[],[f138,f199]) ).
fof(f284,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(f285,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(f286,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(f287,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f286]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f285]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f211,f4]) ).
fof(f300,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f289]) ).
fof(f315,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF6) ),
inference(superposition,[],[f287,f203]) ).
fof(f317,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF4) ),
inference(superposition,[],[f287,f199]) ).
fof(f322,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF6) ),
inference(resolution,[],[f315,f300]) ).
fof(f333,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(f340,plain,
! [X0] :
( member(second(X0),universal_class)
| ~ member(X0,sF6) ),
inference(superposition,[],[f288,f203]) ).
fof(f342,plain,
! [X0] :
( member(second(X0),sF3)
| ~ member(X0,sF4) ),
inference(superposition,[],[f288,f199]) ).
fof(f343,plain,
! [X0] :
( member(second(X0),universal_class)
| ~ member(X0,sF4) ),
inference(resolution,[],[f342,f300]) ).
fof(f349,plain,
! [X2,X0,X1] :
( member(X0,cross_product(X2,X1))
| ~ member(second(X0),X1)
| ~ member(first(X0),X2)
| ~ member(X0,sF4) ),
inference(superposition,[],[f284,f199]) ).
fof(f360,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X1,x)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF5)
| ~ member(X0,sF3) ),
inference(resolution,[],[f282,f212]) ).
fof(f366,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))),sF5)
| ~ member(first(X0),x)
| ~ member(X0,xr)
| ~ member(second(X0),sF3)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f360,f139]) ).
fof(f368,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,[],[f333,f138]) ).
fof(f373,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(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(f379,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))),sF1)
| ~ 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))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(superposition,[],[f373,f193]) ).
fof(f380,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))),sF0)
| 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))),sF1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(forward_subsumption_resolution,[],[f379,f275]) ).
fof(f381,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))),sF1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) ),
inference(resolution,[],[f380,f281]) ).
fof(f442,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f300]) ).
fof(f450,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f504,plain,
! [X0] :
( member(X0,sF6)
| ~ member(second(X0),universal_class)
| ~ member(first(X0),x)
| ~ member(X0,sF4) ),
inference(superposition,[],[f349,f203]) ).
fof(f510,plain,
! [X0] :
( member(X0,sF6)
| ~ member(first(X0),x)
| ~ member(X0,sF4) ),
inference(forward_subsumption_resolution,[],[f504,f343]) ).
fof(f513,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sF6) ),
inference(forward_subsumption_resolution,[],[f510,f317]) ).
fof(f514,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF6)
| subclass(sF5,X0) ),
inference(resolution,[],[f513,f261]) ).
fof(f520,plain,
! [X0] :
( subclass(sF5,X0)
| member(not_subclass_element(sF5,X0),sF7)
| ~ member(not_subclass_element(sF5,X0),xr) ),
inference(resolution,[],[f514,f213]) ).
fof(f525,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF7)
| subclass(sF5,X0) ),
inference(forward_subsumption_resolution,[],[f520,f239]) ).
fof(f528,plain,
( subclass(sF5,sF7)
| subclass(sF5,sF7) ),
inference(resolution,[],[f525,f3]) ).
fof(f531,plain,
subclass(sF5,sF7),
inference(duplicate_literal_removal,[],[f528]) ).
fof(f532,plain,
( ~ subclass(sF7,sF5)
| sF5 = sF7 ),
inference(resolution,[],[f531,f7]) ).
fof(f533,plain,
~ subclass(sF7,sF5),
inference(forward_subsumption_resolution,[],[f532,f206]) ).
fof(f631,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))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF1))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) ),
inference(resolution,[],[f368,f381]) ).
fof(f641,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))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF1))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) ),
inference(duplicate_literal_removal,[],[f631]) ).
fof(f648,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))),null_class)
| member(X3,sF2)
| ~ member(X3,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X3,X3))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr) ),
inference(forward_demodulation,[],[f641,f195]) ).
fof(f996,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f442,f450]) ).
fof(f999,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f996]) ).
fof(f1001,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f999]) ).
fof(f1002,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f1001,f300]) ).
fof(f1007,plain,
! [X2,X3,X0,X1] :
( member(X0,sF2)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),xr) ),
inference(resolution,[],[f1002,f648]) ).
fof(f1011,plain,
! [X2,X3,X0] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(universal_class,universal_class))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),unordered_pair(X0,X0))
| member(X0,sF2)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X2,X2))),xr) ),
inference(condensation,[],[f1007]) ).
fof(f1012,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X0,X0))
| ~ member(X0,universal_class)
| member(X0,sF2)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f1011,f138]) ).
fof(f1065,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,sF5)
| ~ member(first(X0),x)
| ~ member(X0,xr)
| ~ member(second(X0),sF3)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f366,f139]) ).
fof(f1066,plain,
! [X3,X0,X4] :
( ~ member(X0,cross_product(X3,X4))
| ~ member(first(X0),x)
| ~ member(X0,xr)
| ~ member(second(X0),sF3)
| member(X0,sF5) ),
inference(condensation,[],[f1065]) ).
fof(f1080,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(first(X0),x)
| ~ member(X0,xr)
| ~ member(second(X0),sF3)
| member(X0,sF5) ),
inference(superposition,[],[f1066,f203]) ).
fof(f1093,plain,
! [X0] :
( ~ member(second(X0),sF3)
| ~ member(X0,xr)
| ~ member(X0,sF6)
| member(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f1080,f315]) ).
fof(f1498,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class) ),
inference(resolution,[],[f1012,f10]) ).
fof(f1500,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f1498]) ).
fof(f1502,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f1500,f11]) ).
fof(f1509,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF2)
| ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f1502,f139]) ).
fof(f3014,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF2))
| ~ member(first(X0),universal_class)
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(resolution,[],[f1509,f368]) ).
fof(f3015,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF2))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(duplicate_literal_removal,[],[f3014]) ).
fof(f3016,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF2))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(forward_subsumption_resolution,[],[f3015,f300]) ).
fof(f3017,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X3,universal_class)
| member(X3,domain_of(sF2))
| ~ member(second(X0),unordered_pair(X3,X3)) ),
inference(forward_subsumption_resolution,[],[f3016,f1002]) ).
fof(f3018,plain,
! [X2,X3,X0,X1] :
( ~ member(second(X0),unordered_pair(X3,X3))
| ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(X3,universal_class)
| member(X3,sF3) ),
inference(forward_demodulation,[],[f3017,f197]) ).
fof(f3020,plain,
! [X2,X0,X1] :
( ~ member(X0,xr)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),universal_class)
| member(second(X0),sF3)
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f3018,f10]) ).
fof(f3021,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class)
| ~ member(X0,xr)
| ~ member(second(X0),universal_class)
| member(second(X0),sF3) ),
inference(duplicate_literal_removal,[],[f3020]) ).
fof(f3047,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(first(X0),universal_class)
| ~ member(X0,xr)
| ~ member(second(X0),universal_class)
| member(second(X0),sF3) ),
inference(superposition,[],[f3021,f203]) ).
fof(f3062,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,xr)
| ~ member(second(X0),universal_class)
| member(second(X0),sF3) ),
inference(forward_subsumption_resolution,[],[f3047,f322]) ).
fof(f3072,plain,
! [X0] :
( member(second(X0),sF3)
| ~ member(X0,xr)
| ~ member(X0,sF6) ),
inference(forward_subsumption_resolution,[],[f3062,f340]) ).
fof(f3136,plain,
! [X0] :
( ~ member(X0,xr)
| ~ member(X0,sF6)
| ~ member(X0,xr)
| ~ member(X0,sF6)
| member(X0,sF5) ),
inference(resolution,[],[f3072,f1093]) ).
fof(f3142,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,xr)
| member(X0,sF5) ),
inference(duplicate_literal_removal,[],[f3136]) ).
fof(f3145,plain,
! [X0] :
( ~ member(not_subclass_element(sF7,X0),xr)
| member(not_subclass_element(sF7,X0),sF5)
| subclass(sF7,X0) ),
inference(resolution,[],[f3142,f262]) ).
fof(f3168,plain,
! [X0] :
( member(not_subclass_element(sF7,X0),sF5)
| subclass(sF7,X0) ),
inference(forward_subsumption_resolution,[],[f3145,f235]) ).
fof(f3171,plain,
( subclass(sF7,sF5)
| subclass(sF7,sF5) ),
inference(resolution,[],[f3168,f3]) ).
fof(f3178,plain,
subclass(sF7,sF5),
inference(duplicate_literal_removal,[],[f3171]) ).
fof(f3179,plain,
$false,
inference(forward_subsumption_resolution,[],[f3178,f533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET315-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 01:24:07 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 10.75/2.40 % (724063)Input is clausal, will run a generic CNF schedule.
% 10.75/2.40 % (724074)dis-21_1_sil=8000:lcm=predicate:random_seed=453851845: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)
% 10.75/2.40 % (724070)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2195282252:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.75/2.40 % (724072)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2270384615:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.75/2.40 % (724068)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=3034105450:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.75/2.40 % (724071)lrs+10_1_sil=8000:sp=occurrence:random_seed=2636055865:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.75/2.40 % (724069)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3495654274:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.75/2.40 % (724074)Instruction limit reached!
% 10.75/2.40 % (724074)------------------------------
% 10.75/2.40 % (724074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.40 % (724074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.40 % (724074)CaDiCaL version: 2.1.3
% 10.75/2.40 % (724074)Termination reason: Instruction limit
% 10.75/2.40 % (724074)Termination phase: Saturation
% 10.75/2.40 % (724074)Time elapsed: 0.037 s
% 10.75/2.40 % (724074)Peak memory usage: 89 MB
% 10.75/2.40 % (724074)Instructions burned: 121 (million)
% 10.75/2.40 % (724073)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4004459662:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.75/2.40 % (724071)Refutation not found, incomplete strategy
% 10.75/2.40 % (724071)------------------------------
% 10.75/2.40 % (724071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.40 % (724071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.40 % (724071)CaDiCaL version: 2.1.3
% 10.75/2.40 % (724071)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.40 % (724071)Time elapsed: 0.019 s
% 10.75/2.40 % (724071)Peak memory usage: 88 MB
% 10.75/2.40 % (724071)Instructions burned: 29 (million)
% 10.75/2.40 % (724072)Instruction limit reached!
% 10.75/2.40 % (724072)------------------------------
% 10.75/2.40 % (724072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.40 % (724072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.40 % (724072)CaDiCaL version: 2.1.3
% 10.75/2.40 % (724072)Termination reason: Instruction limit
% 10.75/2.40 % (724072)Termination phase: Saturation
% 10.75/2.40 % (724072)Time elapsed: 0.066 s
% 10.75/2.40 % (724072)Peak memory usage: 88 MB
% 10.75/2.40 % (724072)Instructions burned: 115 (million)
% 10.75/2.40 % (724081)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=2856958657:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.75/2.40 % (724081)Refutation not found, incomplete strategy
% 10.75/2.40 % (724081)------------------------------
% 10.75/2.40 % (724081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.40 % (724081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.40 % (724081)CaDiCaL version: 2.1.3
% 10.75/2.40 % (724081)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.40 % (724081)Time elapsed: 0.002 s
% 10.75/2.40 % (724081)Peak memory usage: 88 MB
% 10.75/2.40 % (724081)Instructions burned: 3 (million)
% 10.75/2.40 % (724073)Instruction limit reached!
% 10.75/2.40 % (724073)------------------------------
% 10.75/2.40 % (724073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.40 % (724073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.40 % (724073)CaDiCaL version: 2.1.3
% 10.75/2.40 % (724073)Termination reason: Instruction limit
% 10.75/2.40 % (724073)Termination phase: Saturation
% 10.75/2.40 % (724073)Time elapsed: 0.142 s
% 10.75/2.40 % (724073)Peak memory usage: 90 MB
% 10.75/2.40 % (724073)Instructions burned: 180 (million)
% 10.75/2.40 % (724083)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3818099103: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)
% 14.35/2.97 % (724083)Refutation not found, incomplete strategy
% 14.35/2.97 % (724083)------------------------------
% 14.35/2.97 % (724083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724083)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724083)Termination reason: Refutation not found, incomplete strategy
% 14.35/2.97 % (724083)Time elapsed: 0.011 s
% 14.35/2.97 % (724083)Peak memory usage: 89 MB
% 14.35/2.97 % (724083)Instructions burned: 19 (million)
% 14.35/2.97 % (724081)------------------------------
% 14.35/2.97 % (724081)------------------------------
% 14.35/2.97 % (724071)------------------------------
% 14.35/2.97 % (724071)------------------------------
% 14.35/2.97 % (724085)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2348891842:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 14.35/2.97 % (724085)Refutation not found, incomplete strategy
% 14.35/2.97 % (724085)------------------------------
% 14.35/2.97 % (724085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724085)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724085)Termination reason: Refutation not found, incomplete strategy
% 14.35/2.97 % (724085)Time elapsed: 0.003 s
% 14.35/2.97 % (724085)Peak memory usage: 88 MB
% 14.35/2.97 % (724085)Instructions burned: 3 (million)
% 14.35/2.97 % (724087)lrs+10_64_to=lpo:sil=8000:random_seed=2691619733:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 14.35/2.97 % (724087)Instruction limit reached!
% 14.35/2.97 % (724087)------------------------------
% 14.35/2.97 % (724087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724087)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724087)Termination reason: Instruction limit
% 14.35/2.97 % (724087)Termination phase: Saturation
% 14.35/2.97 % (724087)Time elapsed: 0.043 s
% 14.35/2.97 % (724087)Peak memory usage: 89 MB
% 14.35/2.97 % (724087)Instructions burned: 127 (million)
% 14.35/2.97 % (724088)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1325433451:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.35/2.97 % (724091)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2515995236:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 14.35/2.97 % (724083)------------------------------
% 14.35/2.97 % (724083)------------------------------
% 14.35/2.97 % (724091)Instruction limit reached!
% 14.35/2.97 % (724091)------------------------------
% 14.35/2.97 % (724091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724091)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724091)Termination reason: Instruction limit
% 14.35/2.97 % (724091)Termination phase: Saturation
% 14.35/2.97 % (724091)Time elapsed: 0.059 s
% 14.35/2.97 % (724091)Peak memory usage: 91 MB
% 14.35/2.97 % (724091)Instructions burned: 161 (million)
% 14.35/2.97 % (724085)------------------------------
% 14.35/2.97 % (724085)------------------------------
% 14.35/2.97 % (724088)Instruction limit reached!
% 14.35/2.97 % (724088)------------------------------
% 14.35/2.97 % (724088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724088)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724088)Termination reason: Instruction limit
% 14.35/2.97 % (724088)Termination phase: Saturation
% 14.35/2.97 % (724088)Time elapsed: 0.121 s
% 14.35/2.97 % (724088)Peak memory usage: 89 MB
% 14.35/2.97 % (724088)Instructions burned: 194 (million)
% 14.35/2.97 % (724095)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=3232899960:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 14.35/2.97 % (724094)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1298953412:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 14.35/2.97 % (724095)Instruction limit reached!
% 14.35/2.97 % (724095)------------------------------
% 14.35/2.97 % (724095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724095)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724095)Termination reason: Instruction limit
% 14.35/2.97 % (724095)Termination phase: Saturation
% 14.35/2.97 % (724095)Time elapsed: 0.035 s
% 14.35/2.97 % (724095)Peak memory usage: 89 MB
% 14.35/2.97 % (724095)Instructions burned: 108 (million)
% 14.35/2.97 % (724096)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1862528348:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 14.35/2.97 % (724097)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3440054071:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 14.35/2.97 % (724096)Refutation not found, incomplete strategy
% 14.35/2.97 % (724096)------------------------------
% 14.35/2.97 % (724096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724096)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724096)Termination reason: Refutation not found, incomplete strategy
% 14.35/2.97 % (724096)Time elapsed: 0.005 s
% 14.35/2.97 % (724096)Peak memory usage: 88 MB
% 14.35/2.97 % (724096)Instructions burned: 8 (million)
% 14.35/2.97 % (724100)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2095802068:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 14.35/2.97 % (724097)Instruction limit reached!
% 14.35/2.97 % (724097)------------------------------
% 14.35/2.97 % (724097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724097)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724097)Termination reason: Instruction limit
% 14.35/2.97 % (724097)Termination phase: Saturation
% 14.35/2.97 % (724097)Time elapsed: 0.161 s
% 14.35/2.97 % (724097)Peak memory usage: 90 MB
% 14.35/2.97 % (724097)Instructions burned: 243 (million)
% 14.35/2.97 % (724096)------------------------------
% 14.35/2.97 % (724096)------------------------------
% 14.35/2.97 % (724104)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=510574567:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 14.35/2.97 % (724105)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1339347400:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 14.35/2.97 % (724104)Instruction limit reached!
% 14.35/2.97 % (724104)------------------------------
% 14.35/2.97 % (724104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724104)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724104)Termination reason: Instruction limit
% 14.35/2.97 % (724104)Termination phase: Saturation
% 14.35/2.97 % (724104)Time elapsed: 0.099 s
% 14.35/2.97 % (724104)Peak memory usage: 90 MB
% 14.35/2.97 % (724104)Instructions burned: 135 (million)
% 14.35/2.97 % (724108)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=356292788:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 14.35/2.97 % (724108)Instruction limit reached!
% 14.35/2.97 % (724108)------------------------------
% 14.35/2.97 % (724108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724108)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724108)Termination reason: Instruction limit
% 14.35/2.97 % (724108)Termination phase: Saturation
% 14.35/2.97 % (724108)Time elapsed: 0.113 s
% 14.35/2.97 % (724108)Peak memory usage: 89 MB
% 14.35/2.97 % (724108)Instructions burned: 192 (million)
% 14.35/2.97 % (724105)Instruction limit reached!
% 14.35/2.97 % (724105)------------------------------
% 14.35/2.97 % (724105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724105)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724105)Termination reason: Instruction limit
% 14.35/2.97 % (724105)Termination phase: Saturation
% 14.35/2.97 % (724105)Time elapsed: 0.291 s
% 14.35/2.97 % (724105)Peak memory usage: 92 MB
% 14.35/2.97 % (724105)Instructions burned: 500 (million)
% 14.35/2.97 % (724110)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1650074414:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 14.35/2.97 % (724111)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=575936819:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 14.35/2.97 % (724111)Instruction limit reached!
% 14.35/2.97 % (724111)------------------------------
% 14.35/2.97 % (724111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724111)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724111)Termination reason: Instruction limit
% 14.35/2.97 % (724111)Termination phase: Saturation
% 14.35/2.97 % (724111)Time elapsed: 0.105 s
% 14.35/2.97 % (724111)Peak memory usage: 89 MB
% 14.35/2.97 % (724111)Instructions burned: 157 (million)
% 14.35/2.97 % (724110)Instruction limit reached!
% 14.35/2.97 % (724110)------------------------------
% 14.35/2.97 % (724110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.35/2.97 % (724110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.35/2.97 % (724110)CaDiCaL version: 2.1.3
% 14.35/2.97 % (724110)Termination reason: Instruction limit
% 14.35/2.97 % (724110)Termination phase: Saturation
% 14.35/2.97 % (724110)Time elapsed: 0.172 s
% 14.35/2.97 % (724110)Peak memory usage: 91 MB
% 14.35/2.97 % (724110)Instructions burned: 265 (million)
% 14.35/2.97 % (724114)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=2163439685:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 14.35/2.97 % (724100)First to succeed.
% 14.35/2.97 % (724115)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2672041780:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 14.35/2.97 % (724100)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-724063"
% 14.35/2.97 % (724100)Refutation found. Thanks to Tanya!
% 14.35/2.97 % SZS status Unsatisfiable for theBenchmark
% 14.35/2.97 % SZS output start Proof for theBenchmark
% See solution above
% 15.75/3.18 % (724100)------------------------------
% 15.75/3.18 % (724100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.75/3.18 % (724100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/3.18 % (724100)CaDiCaL version: 2.1.3
% 15.75/3.18 % (724100)Termination reason: Refutation
% 15.75/3.18 % (724100)Time elapsed: 0.964 s
% 15.75/3.18 % (724100)Peak memory usage: 136 MB
% 15.75/3.18 % (724100)Instructions burned: 1814 (million)
% 15.75/3.18 % (724100)------------------------------
% 15.75/3.18 % (724100)------------------------------
% 15.75/3.18 % (724063)Success in time 2.145 s
% 15.75/3.18 % Vampire exiting
%------------------------------------------------------------------------------