%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM037-1 : 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 12:11:37 PM UTC 2026
% Result : Unsatisfiable 45.39s 14.33s
% Output : Refutation 95.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 35
% Syntax : Number of formulae : 146 ( 41 unt; 11 def)
% Number of atoms : 388 ( 57 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 473 ( 231 ~; 242 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 14 con; 0-3 aty)
% Number of variables : 285 ( 285 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(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(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f38,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),X3)
| ~ member(ordered_pair(ordered_pair(X1,X0),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(ordered_pair(ordered_pair(X1,X0),X2),flip(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetrization) ).
fof(f176,negated_conjecture,
~ subclass(restrict(x,universal_class,universal_class),cross_product(domain_of(symmetrization_of(x)),domain_of(symmetrization_of(x)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetrization_property8_1) ).
fof(f177,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(f190,plain,
! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
inference(definition_unfolding,[],[f122,f26,f39]) ).
fof(f194,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,f177]) ).
fof(f195,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,f177]) ).
fof(f196,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,f177]) ).
fof(f197,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,f177]) ).
fof(f202,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(f206,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,f177,f177,f177,f177,f177,f177]) ).
fof(f267,plain,
~ subclass(intersection(x,cross_product(universal_class,universal_class)),cross_product(domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))),domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))),
inference(definition_unfolding,[],[f176,f28,f190,f190]) ).
fof(f274,definition,
sF0 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f275,plain,
cross_product(universal_class,universal_class) = sF0,
inference(reorient_equations,[],[f274]) ).
fof(f276,definition,
sF1 = intersection(x,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f277,plain,
intersection(x,sF0) = sF1,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF2 = complement(x),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f279,plain,
complement(x) = sF2,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF3 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f281,plain,
cross_product(x,universal_class) = sF3,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF4 = flip(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f283,plain,
flip(sF3) = sF4,
inference(reorient_equations,[],[f282]) ).
fof(f284,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f285,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f284]) ).
fof(f286,definition,
sF6 = complement(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f287,plain,
complement(sF5) = sF6,
inference(reorient_equations,[],[f286]) ).
fof(f288,definition,
sF7 = intersection(sF2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f289,plain,
intersection(sF2,sF6) = sF7,
inference(reorient_equations,[],[f288]) ).
fof(f290,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f291,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f290]) ).
fof(f292,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f293,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f292]) ).
fof(f294,definition,
sF10 = cross_product(sF9,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f295,plain,
cross_product(sF9,sF9) = sF10,
inference(reorient_equations,[],[f294]) ).
fof(f296,plain,
~ subclass(sF1,sF10),
inference(definition_folding,[],[f267,f295,f293,f291,f289,f287,f285,f283,f281,f279,f293,f291,f289,f287,f285,f283,f281,f279,f277,f275]) ).
fof(f301,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f21]) ).
fof(f302,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f68,f22]) ).
fof(f305,plain,
! [X0] :
( member(X0,x)
| ~ member(X0,sF1) ),
inference(superposition,[],[f21,f277]) ).
fof(f306,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF1) ),
inference(superposition,[],[f22,f277]) ).
fof(f310,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,sF5) ),
inference(superposition,[],[f24,f287]) ).
fof(f311,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f318,plain,
! [X0] :
( member(X0,sF8)
| ~ member(X0,universal_class)
| member(X0,sF7) ),
inference(superposition,[],[f25,f291]) ).
fof(f338,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X0,universal_class) ),
inference(superposition,[],[f194,f275]) ).
fof(f343,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,universal_class) ),
inference(superposition,[],[f195,f275]) ).
fof(f371,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,f202]) ).
fof(f387,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF10)
| ~ member(X1,sF9)
| ~ member(X0,sF9) ),
inference(superposition,[],[f196,f295]) ).
fof(f388,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,[],[f196,f275]) ).
fof(f389,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),sF9)
| ~ member(first(X0),sF9)
| member(X0,sF10) ),
inference(superposition,[],[f387,f197]) ).
fof(f411,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,sF7) ),
inference(superposition,[],[f21,f289]) ).
fof(f412,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF7) ),
inference(superposition,[],[f22,f289]) ).
fof(f417,plain,
! [X2,X0,X1] :
( member(regular(intersection(X0,intersection(X1,X2))),X1)
| null_class = intersection(X0,intersection(X1,X2)) ),
inference(resolution,[],[f302,f21]) ).
fof(f419,plain,
! [X0,X1] :
( ~ member(regular(intersection(X0,complement(X1))),X1)
| null_class = intersection(X0,complement(X1)) ),
inference(resolution,[],[f302,f24]) ).
fof(f430,plain,
! [X0,X1] :
( ~ member(regular(intersection(complement(X0),X1)),X0)
| null_class = intersection(complement(X0),X1) ),
inference(resolution,[],[f301,f24]) ).
fof(f452,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF5) ),
inference(resolution,[],[f412,f310]) ).
fof(f460,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| member(X0,universal_class) ),
inference(resolution,[],[f338,f306]) ).
fof(f465,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),universal_class)
| ~ member(X0,sF1) ),
inference(superposition,[],[f460,f197]) ).
fof(f477,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF1)
| member(X0,universal_class) ),
inference(resolution,[],[f343,f306]) ).
fof(f482,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),universal_class)
| ~ member(X0,sF1) ),
inference(superposition,[],[f477,f197]) ).
fof(f493,plain,
! [X0] :
( null_class = intersection(X0,complement(X0))
| null_class = intersection(X0,complement(X0)) ),
inference(resolution,[],[f419,f301]) ).
fof(f508,plain,
! [X0] : null_class = intersection(X0,complement(X0)),
inference(duplicate_literal_removal,[],[f493]) ).
fof(f518,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(superposition,[],[f21,f508]) ).
fof(f617,plain,
! [X0] :
( ~ member(second(X0),sF9)
| ~ member(X0,sF0)
| ~ member(first(X0),sF9)
| member(X0,sF10) ),
inference(superposition,[],[f389,f275]) ).
fof(f743,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| complement(X1) = null_class
| ~ member(X0,X1) ),
inference(resolution,[],[f311,f24]) ).
fof(f772,plain,
! [X0,X1] :
( complement(X1) = null_class
| ~ member(X0,null_class) ),
inference(forward_subsumption_resolution,[],[f743,f518]) ).
fof(f803,plain,
! [X2,X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,null_class) ),
inference(superposition,[],[f24,f772]) ).
fof(f822,plain,
! [X2,X0] :
( ~ member(X0,null_class)
| ~ member(X2,null_class) ),
inference(condensation,[],[f803]) ).
fof(f823,plain,
! [X2] : ~ member(X2,null_class),
inference(condensation,[],[f822]) ).
fof(f1385,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(X0,universal_class) ),
inference(superposition,[],[f11,f197]) ).
fof(f1399,plain,
! [X0] :
( member(X0,universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f1385,f275]) ).
fof(f1866,plain,
! [X0,X1] :
( null_class = intersection(complement(X0),intersection(X0,X1))
| null_class = intersection(complement(X0),intersection(X0,X1)) ),
inference(resolution,[],[f417,f430]) ).
fof(f1918,plain,
! [X0,X1] : null_class = intersection(complement(X0),intersection(X0,X1)),
inference(duplicate_literal_removal,[],[f1866]) ).
fof(f1951,plain,
null_class = intersection(complement(x),sF1),
inference(superposition,[],[f1918,f277]) ).
fof(f1968,plain,
null_class = intersection(sF2,sF1),
inference(forward_demodulation,[],[f1951,f279]) ).
fof(f1972,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,sF1)
| ~ member(X0,sF2) ),
inference(superposition,[],[f23,f1968]) ).
fof(f1983,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f1972,f823]) ).
fof(f1984,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF1) ),
inference(resolution,[],[f1983,f411]) ).
fof(f2480,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,[],[f206,f196]) ).
fof(f2493,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,[],[f2480,f275]) ).
fof(f2636,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f371,f196]) ).
fof(f2668,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(forward_subsumption_resolution,[],[f2636,f823]) ).
fof(f2682,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(X0,domain_of(flip(X1)))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(X2,X2))),X1)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),sF0)
| ~ member(X2,universal_class) ),
inference(resolution,[],[f2668,f2493]) ).
fof(f2697,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| member(X0,domain_of(sF8))
| ~ member(X1,universal_class)
| ~ member(X2,unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),universal_class)
| member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF7) ),
inference(resolution,[],[f2668,f318]) ).
fof(f2702,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(X2,X2))),X1)
| member(X0,domain_of(flip(X1)))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(X0,X0))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),sF0) ),
inference(duplicate_literal_removal,[],[f2682]) ).
fof(f2704,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| member(X0,domain_of(sF8))
| ~ member(X1,universal_class)
| ~ member(X2,unordered_pair(X0,X0))
| member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF7) ),
inference(forward_subsumption_resolution,[],[f2697,f11]) ).
fof(f2720,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF7)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(X2,unordered_pair(X0,X0))
| member(X0,sF9) ),
inference(forward_demodulation,[],[f2704,f293]) ).
fof(f2799,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5))),unordered_pair(X0,X0))
| ~ member(X3,universal_class)
| member(X0,domain_of(flip(cross_product(X1,X2))))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5))),sF0)
| ~ member(X3,X2)
| ~ member(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(X4,X4))),X1) ),
inference(resolution,[],[f2702,f196]) ).
fof(f2862,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(X2,unordered_pair(X0,X0))
| member(X0,sF9)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF1) ),
inference(resolution,[],[f2720,f1984]) ).
fof(f2864,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF5)
| ~ member(X1,universal_class)
| ~ member(X2,unordered_pair(X0,X0))
| member(X0,sF9)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f2720,f452]) ).
fof(f2870,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF1)
| ~ member(X2,unordered_pair(X0,X0))
| member(X0,sF9)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f2862,f477]) ).
fof(f2909,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF0)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class) ),
inference(resolution,[],[f2799,f10]) ).
fof(f2913,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF0)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3) ),
inference(duplicate_literal_removal,[],[f2909]) ).
fof(f2915,plain,
! [X2,X3,X0,X1,X4] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF0)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3) ),
inference(forward_subsumption_resolution,[],[f2913,f1399]) ).
fof(f3308,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(flip(sF3)))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(superposition,[],[f2915,f281]) ).
fof(f3310,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(flip(sF3)))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(duplicate_literal_removal,[],[f3308]) ).
fof(f3318,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(sF4))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(forward_demodulation,[],[f3310,f283]) ).
fof(f3324,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF5)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(forward_demodulation,[],[f3318,f285]) ).
fof(f4570,plain,
! [X2,X3,X0,X1] :
( ~ member(first(X0),unordered_pair(X1,X1))
| ~ member(X0,sF1)
| member(X1,sF9)
| ~ member(X1,universal_class)
| ~ member(X0,cross_product(X2,X3)) ),
inference(superposition,[],[f2870,f197]) ).
fof(f4653,plain,
! [X2,X0,X1] :
( ~ member(X0,sF1)
| member(first(X0),sF9)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(first(X0),universal_class) ),
inference(resolution,[],[f4570,f10]) ).
fof(f4658,plain,
! [X2,X0,X1] :
( ~ member(X0,sF1)
| member(first(X0),sF9)
| ~ member(first(X0),universal_class)
| ~ member(X0,cross_product(X1,X2)) ),
inference(duplicate_literal_removal,[],[f4653]) ).
fof(f4660,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),sF9)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f4658,f465]) ).
fof(f4683,plain,
! [X0] :
( ~ member(X0,sF0)
| member(first(X0),sF9)
| ~ member(X0,sF1) ),
inference(superposition,[],[f4660,f275]) ).
fof(f4690,plain,
! [X0] :
( member(first(X0),sF9)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f4683,f306]) ).
fof(f10783,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(X2,X2))
| member(X2,sF9)
| ~ member(X2,universal_class)
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) ),
inference(resolution,[],[f2864,f3324]) ).
fof(f10789,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(X2,X2))
| member(X2,sF9)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF0)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) ),
inference(condensation,[],[f10783]) ).
fof(f10790,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF0)
| member(X2,sF9)
| ~ member(X2,universal_class)
| ~ member(X1,unordered_pair(X2,X2))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),x) ),
inference(forward_subsumption_resolution,[],[f10789,f343]) ).
fof(f10791,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),x)
| ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(X0,X0))
| member(X0,sF9)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f10790,f388]) ).
fof(f10805,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(X0,X0))
| member(X0,sF9)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF1) ),
inference(resolution,[],[f10791,f305]) ).
fof(f10811,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(X0,X0))
| member(X0,sF9)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF1) ),
inference(forward_subsumption_resolution,[],[f10805,f460]) ).
fof(f10812,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),sF1)
| ~ member(X1,unordered_pair(X0,X0))
| member(X0,sF9)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f10811,f477]) ).
fof(f10817,plain,
! [X2,X3,X0,X1] :
( ~ member(second(X0),unordered_pair(X1,X1))
| ~ member(X0,sF1)
| member(X1,sF9)
| ~ member(X1,universal_class)
| ~ member(X0,cross_product(X2,X3)) ),
inference(superposition,[],[f10812,f197]) ).
fof(f10819,plain,
! [X2,X0,X1] :
( ~ member(X0,sF1)
| member(second(X0),sF9)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),universal_class) ),
inference(resolution,[],[f10817,f10]) ).
fof(f10825,plain,
! [X2,X0,X1] :
( ~ member(X0,sF1)
| member(second(X0),sF9)
| ~ member(second(X0),universal_class)
| ~ member(X0,cross_product(X1,X2)) ),
inference(duplicate_literal_removal,[],[f10819]) ).
fof(f10827,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),sF9)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f10825,f482]) ).
fof(f10861,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),sF9)
| ~ member(X0,sF1) ),
inference(superposition,[],[f10827,f275]) ).
fof(f10868,plain,
! [X0] :
( member(second(X0),sF9)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f10861,f306]) ).
fof(f10871,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,sF0)
| ~ member(first(X0),sF9)
| member(X0,sF10) ),
inference(resolution,[],[f10868,f617]) ).
fof(f10874,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(first(X0),sF9)
| member(X0,sF10) ),
inference(forward_subsumption_resolution,[],[f10871,f306]) ).
fof(f10876,plain,
! [X0] :
( member(X0,sF10)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f10874,f4690]) ).
fof(f10882,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF10),sF1)
| subclass(X0,sF10) ),
inference(resolution,[],[f10876,f3]) ).
fof(f10926,plain,
( subclass(sF1,sF10)
| subclass(sF1,sF10) ),
inference(resolution,[],[f10882,f2]) ).
fof(f10933,plain,
subclass(sF1,sF10),
inference(duplicate_literal_removal,[],[f10926]) ).
fof(f10934,plain,
$false,
inference(forward_subsumption_resolution,[],[f10933,f296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM037-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 18:40:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.73/2.27 % (1097444)Input is clausal, will run a generic CNF schedule.
% 9.73/2.27 % (1097453)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1588753913:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.73/2.27 % (1097453)Instruction limit reached!
% 9.73/2.27 % (1097453)------------------------------
% 9.73/2.27 % (1097453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.73/2.27 % (1097453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/2.27 % (1097453)CaDiCaL version: 2.1.3
% 9.73/2.27 % (1097453)Termination reason: Instruction limit
% 9.73/2.27 % (1097453)Termination phase: Saturation
% 9.73/2.27 % (1097453)Time elapsed: 0.038 s
% 9.73/2.27 % (1097453)Peak memory usage: 89 MB
% 9.73/2.27 % (1097453)Instructions burned: 114 (million)
% 9.73/2.27 % (1097451)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1415636190:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.73/2.27 % (1097449)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=4232561362:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.73/2.27 % (1097452)lrs+10_1_sil=8000:sp=occurrence:random_seed=1227914676:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.73/2.27 % (1097450)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2633392669:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.73/2.27 % (1097455)dis-21_1_sil=8000:lcm=predicate:random_seed=2473350542: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)
% 9.73/2.27 % (1097454)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3428720648:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.73/2.27 % (1097452)Refutation not found, incomplete strategy
% 9.73/2.27 % (1097452)------------------------------
% 9.73/2.27 % (1097452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.73/2.27 % (1097452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/2.27 % (1097452)CaDiCaL version: 2.1.3
% 9.73/2.27 % (1097452)Termination reason: Refutation not found, incomplete strategy
% 9.73/2.27 % (1097452)Time elapsed: 0.053 s
% 9.73/2.27 % (1097452)Peak memory usage: 89 MB
% 9.73/2.27 % (1097452)Instructions burned: 78 (million)
% 9.73/2.27 % (1097455)Instruction limit reached!
% 9.73/2.27 % (1097455)------------------------------
% 9.73/2.27 % (1097455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.73/2.27 % (1097455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/2.27 % (1097455)CaDiCaL version: 2.1.3
% 9.73/2.27 % (1097455)Termination reason: Instruction limit
% 9.73/2.27 % (1097455)Termination phase: Saturation
% 9.73/2.27 % (1097455)Time elapsed: 0.058 s
% 9.73/2.27 % (1097455)Peak memory usage: 89 MB
% 9.73/2.27 % (1097455)Instructions burned: 119 (million)
% 9.73/2.27 % (1097457)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=804214301:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.73/2.27 % (1097457)Refutation not found, incomplete strategy
% 9.73/2.27 % (1097457)------------------------------
% 9.73/2.27 % (1097457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.73/2.27 % (1097457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/2.27 % (1097457)CaDiCaL version: 2.1.3
% 9.73/2.27 % (1097457)Termination reason: Refutation not found, incomplete strategy
% 9.73/2.27 % (1097457)Time elapsed: 0.001 s
% 9.73/2.27 % (1097457)Peak memory usage: 88 MB
% 9.73/2.27 % (1097457)Instructions burned: 1 (million)
% 9.73/2.27 % (1097454)Instruction limit reached!
% 9.73/2.27 % (1097454)------------------------------
% 9.73/2.27 % (1097454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.73/2.27 % (1097454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.73/2.27 % (1097454)CaDiCaL version: 2.1.3
% 9.73/2.27 % (1097454)Termination reason: Instruction limit
% 9.73/2.27 % (1097454)Termination phase: Saturation
% 9.73/2.27 % (1097454)Time elapsed: 0.140 s
% 9.73/2.27 % (1097454)Peak memory usage: 91 MB
% 9.73/2.27 % (1097454)Instructions burned: 180 (million)
% 9.73/2.27 % (1097464)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=710995445: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)
% 20.10/3.75 % (1097457)------------------------------
% 20.10/3.75 % (1097457)------------------------------
% 20.10/3.75 % (1097452)------------------------------
% 20.10/3.75 % (1097452)------------------------------
% 20.10/3.75 % (1097466)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1110915948:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 20.10/3.75 % (1097464)Instruction limit reached!
% 20.10/3.75 % (1097464)------------------------------
% 20.10/3.75 % (1097464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/3.75 % (1097464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/3.75 % (1097464)CaDiCaL version: 2.1.3
% 20.10/3.75 % (1097464)Termination reason: Instruction limit
% 20.10/3.75 % (1097464)Termination phase: Saturation
% 20.10/3.75 % (1097464)Time elapsed: 0.107 s
% 20.10/3.75 % (1097464)Peak memory usage: 91 MB
% 20.10/3.75 % (1097464)Instructions burned: 190 (million)
% 20.10/3.75 % (1097468)lrs+10_64_to=lpo:sil=8000:random_seed=1977631226:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 20.10/3.75 % (1097466)Instruction limit reached!
% 20.10/3.75 % (1097466)------------------------------
% 20.10/3.75 % (1097466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/3.75 % (1097466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/3.75 % (1097466)CaDiCaL version: 2.1.3
% 20.10/3.75 % (1097466)Termination reason: Instruction limit
% 20.10/3.75 % (1097466)Termination phase: Saturation
% 20.10/3.75 % (1097466)Time elapsed: 0.127 s
% 20.10/3.75 % (1097466)Peak memory usage: 89 MB
% 20.10/3.75 % (1097466)Instructions burned: 220 (million)
% 20.10/3.75 % (1097468)Instruction limit reached!
% 20.10/3.75 % (1097468)------------------------------
% 20.10/3.75 % (1097468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/3.75 % (1097468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/3.75 % (1097468)CaDiCaL version: 2.1.3
% 20.10/3.75 % (1097468)Termination reason: Instruction limit
% 20.10/3.75 % (1097468)Termination phase: Saturation
% 20.10/3.75 % (1097468)Time elapsed: 0.044 s
% 20.10/3.75 % (1097468)Peak memory usage: 90 MB
% 20.10/3.75 % (1097468)Instructions burned: 127 (million)
% 20.10/3.75 % (1097470)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4018347582:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 20.10/3.75 % (1097471)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=767364372:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 20.10/3.75 % (1097474)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=4192345947:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 20.10/3.75 % (1097470)Instruction limit reached!
% 20.10/3.75 % (1097470)------------------------------
% 20.10/3.75 % (1097470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/3.75 % (1097470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/3.75 % (1097470)CaDiCaL version: 2.1.3
% 20.10/3.75 % (1097470)Termination reason: Instruction limit
% 20.10/3.75 % (1097470)Termination phase: Saturation
% 20.10/3.75 % (1097470)Time elapsed: 0.115 s
% 20.10/3.75 % (1097470)Peak memory usage: 90 MB
% 20.10/3.75 % (1097470)Instructions burned: 196 (million)
% 20.10/3.75 % (1097474)Instruction limit reached!
% 20.10/3.75 % (1097474)------------------------------
% 20.10/3.75 % (1097474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.10/3.75 % (1097474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.10/3.75 % (1097474)CaDiCaL version: 2.1.3
% 20.10/3.75 % (1097474)Termination reason: Instruction limit
% 20.10/3.75 % (1097474)Termination phase: Saturation
% 20.10/3.75 % (1097474)Time elapsed: 0.035 s
% 20.10/3.75 % (1097474)Peak memory usage: 90 MB
% 20.10/3.75 % (1097474)Instructions burned: 107 (million)
% 20.10/3.75 % (1097473)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1444764867:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 20.10/3.75 % (1097471)Instruction limit reached!
% 20.10/3.75 % (1097471)------------------------------
% 20.10/3.75 % (1097471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.91/5.09 % (1097471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.09 % (1097471)CaDiCaL version: 2.1.3
% 29.91/5.09 % (1097471)Termination reason: Instruction limit
% 29.91/5.09 % (1097471)Termination phase: Saturation
% 29.91/5.09 % (1097471)Time elapsed: 0.111 s
% 29.91/5.09 % (1097471)Peak memory usage: 91 MB
% 29.91/5.09 % (1097471)Instructions burned: 157 (million)
% 29.91/5.09 % (1097479)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1790110333:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 29.91/5.09 % (1097478)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1174542956:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 29.91/5.09 % (1097481)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3981075437:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 29.91/5.09 % (1097478)Instruction limit reached!
% 29.91/5.09 % (1097478)------------------------------
% 29.91/5.09 % (1097478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.91/5.09 % (1097478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.09 % (1097478)CaDiCaL version: 2.1.3
% 29.91/5.09 % (1097478)Termination reason: Instruction limit
% 29.91/5.09 % (1097478)Termination phase: Saturation
% 29.91/5.09 % (1097478)Time elapsed: 0.072 s
% 29.91/5.09 % (1097478)Peak memory usage: 89 MB
% 29.91/5.09 % (1097478)Instructions burned: 108 (million)
% 29.91/5.09 % (1097479)Instruction limit reached!
% 29.91/5.09 % (1097479)------------------------------
% 29.91/5.09 % (1097479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.91/5.09 % (1097479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.09 % (1097479)CaDiCaL version: 2.1.3
% 29.91/5.09 % (1097479)Termination reason: Instruction limit
% 29.91/5.09 % (1097479)Termination phase: Saturation
% 29.91/5.09 % (1097479)Time elapsed: 0.088 s
% 29.91/5.09 % (1097479)Peak memory usage: 91 MB
% 29.91/5.09 % (1097479)Instructions burned: 244 (million)
% 29.91/5.09 % (1097486)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3675427857:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 29.91/5.09 % (1097485)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4085982630:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 29.91/5.09 % (1097485)Refutation not found, incomplete strategy
% 29.91/5.09 % (1097485)------------------------------
% 29.91/5.09 % (1097485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.91/5.09 % (1097485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.09 % (1097485)CaDiCaL version: 2.1.3
% 29.91/5.09 % (1097485)Termination reason: Refutation not found, incomplete strategy
% 29.91/5.09 % (1097485)Time elapsed: 0.002 s
% 29.91/5.09 % (1097485)Peak memory usage: 88 MB
% 29.91/5.09 % (1097485)Instructions burned: 1 (million)
% 29.91/5.09 % (1097486)Instruction limit reached!
% 29.91/5.09 % (1097486)------------------------------
% 29.91/5.09 % (1097486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.91/5.09 % (1097486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.09 % (1097486)CaDiCaL version: 2.1.3
% 29.91/5.09 % (1097486)Termination reason: Instruction limit
% 29.91/5.09 % (1097486)Termination phase: Saturation
% 29.91/5.09 % (1097486)Time elapsed: 0.152 s
% 29.91/5.09 % (1097486)Peak memory usage: 93 MB
% 29.91/5.09 % (1097486)Instructions burned: 503 (million)
% 29.91/5.09 % (1097485)------------------------------
% 29.91/5.09 % (1097485)------------------------------
% 29.91/5.09 % (1097489)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1876742940:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 29.91/5.09 % (1097489)Instruction limit reached!
% 29.91/5.09 % (1097489)------------------------------
% 29.91/5.09 % (1097489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.91/5.09 % (1097489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.09 % (1097489)CaDiCaL version: 2.1.3
% 29.91/5.09 % (1097489)Termination reason: Instruction limit
% 29.91/5.09 % (1097489)Termination phase: Saturation
% 29.91/5.09 % (1097489)Time elapsed: 0.057 s
% 29.91/5.09 % (1097489)Peak memory usage: 89 MB
% 29.91/5.09 % (1097489)Instructions burned: 192 (million)
% 46.10/7.45 % (1097490)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3422525612:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 46.10/7.45 % (1097492)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2238094705:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 46.10/7.45 % (1097490)Instruction limit reached!
% 46.10/7.45 % (1097490)------------------------------
% 46.10/7.45 % (1097490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.45 % (1097490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.45 % (1097490)CaDiCaL version: 2.1.3
% 46.10/7.45 % (1097490)Termination reason: Instruction limit
% 46.10/7.45 % (1097490)Termination phase: Saturation
% 46.10/7.45 % (1097490)Time elapsed: 0.168 s
% 46.10/7.45 % (1097490)Peak memory usage: 92 MB
% 46.10/7.45 % (1097490)Instructions burned: 265 (million)
% 46.10/7.45 % (1097492)Instruction limit reached!
% 46.10/7.45 % (1097492)------------------------------
% 46.10/7.45 % (1097492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.45 % (1097492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.45 % (1097492)CaDiCaL version: 2.1.3
% 46.10/7.45 % (1097492)Termination reason: Instruction limit
% 46.10/7.45 % (1097492)Termination phase: Saturation
% 46.10/7.45 % (1097492)Time elapsed: 0.107 s
% 46.10/7.45 % (1097492)Peak memory usage: 90 MB
% 46.10/7.45 % (1097492)Instructions burned: 156 (million)
% 46.10/7.45 % (1097495)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=3168650354:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 46.10/7.45 % (1097496)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2075312225:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 46.10/7.45 % (1097496)Refutation not found, incomplete strategy
% 46.10/7.45 % (1097496)------------------------------
% 46.10/7.45 % (1097496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.45 % (1097496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.45 % (1097496)CaDiCaL version: 2.1.3
% 46.10/7.45 % (1097496)Termination reason: Refutation not found, incomplete strategy
% 46.10/7.45 % (1097496)Time elapsed: 0.128 s
% 46.10/7.45 % (1097496)Peak memory usage: 89 MB
% 46.10/7.45 % (1097496)Instructions burned: 263 (million)
% 46.10/7.45 % (1097496)------------------------------
% 46.10/7.45 % (1097496)------------------------------
% 46.10/7.45 % (1097499)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3595712811:i=180:bd=preordered:av=off_2977 on theBenchmark for (2977ds/180Mi)
% 46.10/7.45 % (1097499)Instruction limit reached!
% 46.10/7.45 % (1097499)------------------------------
% 46.10/7.45 % (1097499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.45 % (1097499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.45 % (1097499)CaDiCaL version: 2.1.3
% 46.10/7.45 % (1097499)Termination reason: Instruction limit
% 46.10/7.45 % (1097499)Termination phase: Saturation
% 46.10/7.45 % (1097499)Time elapsed: 0.104 s
% 46.10/7.45 % (1097499)Peak memory usage: 90 MB
% 46.10/7.45 % (1097499)Instructions burned: 181 (million)
% 46.10/7.45 % (1097501)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=2132642953:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2975 on theBenchmark for (2975ds/10307Mi)
% 46.10/7.45 % (1097473)Instruction limit reached!
% 46.10/7.45 % (1097473)------------------------------
% 46.10/7.45 % (1097473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.45 % (1097473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.45 % (1097473)CaDiCaL version: 2.1.3
% 46.10/7.45 % (1097473)Termination reason: Instruction limit
% 46.10/7.45 % (1097473)Termination phase: Saturation
% 46.10/7.45 % (1097473)Time elapsed: 2.066 s
% 46.10/7.45 % (1097473)Peak memory usage: 147 MB
% 46.10/7.45 % (1097473)Instructions burned: 3396 (million)
% 46.10/7.45 % (1097481)Instruction limit reached!
% 46.10/7.45 % (1097481)------------------------------
% 46.10/7.45 % (1097481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.10/7.45 % (1097481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.10/7.45 % (1097481)CaDiCaL version: 2.1.3
% 72.31/11.13 % (1097481)Termination reason: Instruction limit
% 72.31/11.13 % (1097481)Termination phase: Saturation
% 72.31/11.13 % (1097481)Time elapsed: 1.968 s
% 72.31/11.13 % (1097481)Peak memory usage: 159 MB
% 72.31/11.13 % (1097481)Instructions burned: 5209 (million)
% 72.31/11.13 % (1097503)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2511647163:i=412:gtgl=4:gtg=exists_all_2971 on theBenchmark for (2971ds/412Mi)
% 72.31/11.13 % (1097504)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1412405009:s2pl=no:i=8478:s2at=4:nm=6_2971 on theBenchmark for (2971ds/8478Mi)
% 72.31/11.13 % (1097503)Instruction limit reached!
% 72.31/11.13 % (1097503)------------------------------
% 72.31/11.13 % (1097503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.31/11.13 % (1097503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.31/11.13 % (1097503)CaDiCaL version: 2.1.3
% 72.31/11.13 % (1097503)Termination reason: Instruction limit
% 72.31/11.13 % (1097503)Termination phase: Saturation
% 72.31/11.13 % (1097503)Time elapsed: 0.188 s
% 72.31/11.13 % (1097503)Peak memory usage: 90 MB
% 72.31/11.13 % (1097503)Instructions burned: 413 (million)
% 72.31/11.13 % (1097507)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2148487328:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2968 on theBenchmark for (2968ds/303Mi)
% 72.31/11.13 % (1097507)Refutation not found, incomplete strategy
% 72.31/11.13 % (1097507)------------------------------
% 72.31/11.13 % (1097507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.31/11.13 % (1097507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.31/11.13 % (1097507)CaDiCaL version: 2.1.3
% 72.31/11.13 % (1097507)Termination reason: Refutation not found, incomplete strategy
% 72.31/11.13 % (1097507)Time elapsed: 0.002 s
% 72.31/11.13 % (1097507)Peak memory usage: 89 MB
% 72.31/11.13 % (1097507)Instructions burned: 2 (million)
% 72.31/11.13 % (1097507)------------------------------
% 72.31/11.13 % (1097507)------------------------------
% 72.31/11.13 % (1097495)Instruction limit reached!
% 72.31/11.13 % (1097495)------------------------------
% 72.31/11.13 % (1097495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.31/11.13 % (1097495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.31/11.13 % (1097495)CaDiCaL version: 2.1.3
% 72.31/11.13 % (1097495)Termination reason: Instruction limit
% 72.31/11.13 % (1097495)Termination phase: Saturation
% 72.31/11.13 % (1097495)Time elapsed: 1.935 s
% 72.31/11.13 % (1097495)Peak memory usage: 149 MB
% 72.31/11.13 % (1097495)Instructions burned: 3257 (million)
% 72.31/11.13 % (1097509)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=153512394:st=4:i=720:sd=3:fsr=off:ss=axioms_2964 on theBenchmark for (2964ds/720Mi)
% 72.31/11.13 % (1097509)Refutation not found, incomplete strategy
% 72.31/11.13 % (1097509)------------------------------
% 72.31/11.13 % (1097509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.31/11.13 % (1097509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.31/11.13 % (1097509)CaDiCaL version: 2.1.3
% 72.31/11.13 % (1097509)Termination reason: Refutation not found, incomplete strategy
% 72.31/11.13 % (1097509)Time elapsed: 0.004 s
% 72.31/11.13 % (1097509)Peak memory usage: 88 MB
% 72.31/11.13 % (1097509)Instructions burned: 5 (million)
% 72.31/11.13 % (1097511)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2923922030:i=598:bs=on:bd=preordered:av=off:ss=axioms_2962 on theBenchmark for (2962ds/598Mi)
% 72.31/11.13 % (1097509)------------------------------
% 72.31/11.13 % (1097509)------------------------------
% 72.31/11.13 % (1097513)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2076942551:i=2989:sd=3:ss=axioms:sgt=60_2960 on theBenchmark for (2960ds/2989Mi)
% 72.31/11.13 % (1097511)Instruction limit reached!
% 72.31/11.13 % (1097511)------------------------------
% 72.31/11.13 % (1097511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.31/11.13 % (1097511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.31/11.13 % (1097511)CaDiCaL version: 2.1.3
% 72.31/11.13 % (1097511)Termination reason: Instruction limit
% 45.39/14.33 % (1097511)Termination phase: Saturation
% 45.39/14.33 % (1097511)Time elapsed: 0.324 s
% 45.39/14.33 % (1097511)Peak memory usage: 91 MB
% 45.39/14.33 % (1097511)Instructions burned: 624 (million)
% 45.39/14.33 % (1097515)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=3316644524:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2957 on theBenchmark for (2957ds/1997Mi)
% 45.39/14.33 % (1097504)Instruction limit reached!
% 45.39/14.33 % (1097504)------------------------------
% 45.39/14.33 % (1097504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097504)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097504)Termination reason: Instruction limit
% 45.39/14.33 % (1097504)Termination phase: Saturation
% 45.39/14.33 % (1097504)Time elapsed: 2.188 s
% 45.39/14.33 % (1097504)Peak memory usage: 182 MB
% 45.39/14.33 % (1097504)Instructions burned: 8484 (million)
% 45.39/14.33 % (1097517)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=3656514515:i=2088:bd=preordered:av=off_2947 on theBenchmark for (2947ds/2088Mi)
% 45.39/14.33 % (1097515)Instruction limit reached!
% 45.39/14.33 % (1097515)------------------------------
% 45.39/14.33 % (1097515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097515)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097515)Termination reason: Instruction limit
% 45.39/14.33 % (1097515)Termination phase: Saturation
% 45.39/14.33 % (1097515)Time elapsed: 1.323 s
% 45.39/14.33 % (1097515)Peak memory usage: 138 MB
% 45.39/14.33 % (1097515)Instructions burned: 1998 (million)
% 45.39/14.33 % (1097519)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2464094116:i=1098:nicw=on_2942 on theBenchmark for (2942ds/1098Mi)
% 45.39/14.33 % (1097513)Instruction limit reached!
% 45.39/14.33 % (1097513)------------------------------
% 45.39/14.33 % (1097513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097513)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097513)Termination reason: Instruction limit
% 45.39/14.33 % (1097513)Termination phase: Saturation
% 45.39/14.33 % (1097513)Time elapsed: 1.851 s
% 45.39/14.33 % (1097513)Peak memory usage: 145 MB
% 45.39/14.33 % (1097513)Instructions burned: 2991 (million)
% 45.39/14.33 % (1097517)Instruction limit reached!
% 45.39/14.33 % (1097517)------------------------------
% 45.39/14.33 % (1097517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097517)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097517)Termination reason: Instruction limit
% 45.39/14.33 % (1097517)Termination phase: Saturation
% 45.39/14.33 % (1097517)Time elapsed: 0.793 s
% 45.39/14.33 % (1097517)Peak memory usage: 138 MB
% 45.39/14.33 % (1097517)Instructions burned: 2090 (million)
% 45.39/14.33 % (1097521)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3264100258:i=433:bd=preordered_2939 on theBenchmark for (2939ds/433Mi)
% 45.39/14.33 % (1097522)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=471937225:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2938 on theBenchmark for (2938ds/2942Mi)
% 45.39/14.33 % (1097521)Instruction limit reached!
% 45.39/14.33 % (1097521)------------------------------
% 45.39/14.33 % (1097521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097521)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097521)Termination reason: Instruction limit
% 45.39/14.33 % (1097521)Termination phase: Saturation
% 45.39/14.33 % (1097521)Time elapsed: 0.248 s
% 45.39/14.33 % (1097521)Peak memory usage: 93 MB
% 45.39/14.33 % (1097521)Instructions burned: 435 (million)
% 45.39/14.33 % (1097525)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=3130593878:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2935 on theBenchmark for (2935ds/6922Mi)
% 45.39/14.33 % (1097519)Instruction limit reached!
% 45.39/14.33 % (1097519)------------------------------
% 45.39/14.33 % (1097519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097519)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097519)Termination reason: Instruction limit
% 45.39/14.33 % (1097519)Termination phase: Saturation
% 45.39/14.33 % (1097519)Time elapsed: 0.670 s
% 45.39/14.33 % (1097519)Peak memory usage: 102 MB
% 45.39/14.33 % (1097519)Instructions burned: 1098 (million)
% 45.39/14.33 % (1097527)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=3295114914:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2934 on theBenchmark for (2934ds/596Mi)
% 45.39/14.33 % (1097527)Instruction limit reached!
% 45.39/14.33 % (1097527)------------------------------
% 45.39/14.33 % (1097527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097527)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097527)Termination reason: Instruction limit
% 45.39/14.33 % (1097527)Termination phase: Saturation
% 45.39/14.33 % (1097527)Time elapsed: 0.319 s
% 45.39/14.33 % (1097527)Peak memory usage: 99 MB
% 45.39/14.33 % (1097527)Instructions burned: 596 (million)
% 45.39/14.33 % (1097529)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=3196724651:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2929 on theBenchmark for (2929ds/4123Mi)
% 45.39/14.33 % (1097522)Instruction limit reached!
% 45.39/14.33 % (1097522)------------------------------
% 45.39/14.33 % (1097522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097522)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097522)Termination reason: Instruction limit
% 45.39/14.33 % (1097522)Termination phase: Saturation
% 45.39/14.33 % (1097522)Time elapsed: 1.069 s
% 45.39/14.33 % (1097522)Peak memory usage: 148 MB
% 45.39/14.33 % (1097522)Instructions burned: 2942 (million)
% 45.39/14.33 % (1097531)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1137261199:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2926 on theBenchmark for (2926ds/16411Mi)
% 45.39/14.33 % (1097501)Instruction limit reached!
% 45.39/14.33 % (1097501)------------------------------
% 45.39/14.33 % (1097501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097501)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097501)Termination reason: Instruction limit
% 45.39/14.33 % (1097501)Termination phase: Saturation
% 45.39/14.33 % (1097501)Time elapsed: 6.701 s
% 45.39/14.33 % (1097501)Peak memory usage: 174 MB
% 45.39/14.33 % (1097501)Instructions burned: 10307 (million)
% 45.39/14.33 % (1097533)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=3455667583:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2906 on theBenchmark for (2906ds/1670Mi)
% 45.39/14.33 % (1097529)Instruction limit reached!
% 45.39/14.33 % (1097529)------------------------------
% 45.39/14.33 % (1097529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097529)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097529)Termination reason: Instruction limit
% 45.39/14.33 % (1097529)Termination phase: Saturation
% 45.39/14.33 % (1097529)Time elapsed: 2.413 s
% 45.39/14.33 % (1097529)Peak memory usage: 160 MB
% 45.39/14.33 % (1097529)Instructions burned: 4124 (million)
% 45.39/14.33 % (1097535)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=1576188504:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2903 on theBenchmark for (2903ds/1722Mi)
% 45.39/14.33 % (1097525)Instruction limit reached!
% 45.39/14.33 % (1097525)------------------------------
% 45.39/14.33 % (1097525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097525)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097525)Termination reason: Instruction limit
% 45.39/14.33 % (1097525)Termination phase: Saturation
% 45.39/14.33 % (1097525)Time elapsed: 3.690 s
% 45.39/14.33 % (1097525)Peak memory usage: 177 MB
% 45.39/14.33 % (1097525)Instructions burned: 6924 (million)
% 45.39/14.33 % (1097535)Refutation not found, incomplete strategy
% 45.39/14.33 % (1097535)------------------------------
% 45.39/14.33 % (1097535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097535)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097535)Termination reason: Refutation not found, incomplete strategy
% 45.39/14.33 % (1097535)Time elapsed: 0.609 s
% 45.39/14.33 % (1097535)Peak memory usage: 129 MB
% 45.39/14.33 % (1097535)Instructions burned: 930 (million)
% 45.39/14.33 % (1097537)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=603537163:cts=off:cond=on:i=9530:bs=on:fsd=on_2897 on theBenchmark for (2897ds/9530Mi)
% 45.39/14.33 % (1097533)Instruction limit reached!
% 45.39/14.33 % (1097533)------------------------------
% 45.39/14.33 % (1097533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097533)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097533)Termination reason: Instruction limit
% 45.39/14.33 % (1097533)Termination phase: Saturation
% 45.39/14.33 % (1097533)Time elapsed: 1.052 s
% 45.39/14.33 % (1097533)Peak memory usage: 137 MB
% 45.39/14.33 % (1097533)Instructions burned: 1672 (million)
% 45.39/14.33 % (1097535)------------------------------
% 45.39/14.33 % (1097535)------------------------------
% 45.39/14.33 % (1097539)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2634379855:st=2:i=4495:sd=10:ss=included_2894 on theBenchmark for (2894ds/4495Mi)
% 45.39/14.33 % (1097540)lrs+1002_1_sfv=off:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=reverse_arity:spb=non_intro:s2agt=16:random_seed=916361803:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2893 on theBenchmark for (2893ds/4920Mi)
% 45.39/14.33 % (1097540)First to succeed.
% 45.39/14.33 % (1097540)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1097444"
% 45.39/14.33 % (1097539)Instruction limit reached!
% 45.39/14.33 % (1097539)------------------------------
% 45.39/14.33 % (1097539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.39/14.33 % (1097539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.39/14.33 % (1097539)CaDiCaL version: 2.1.3
% 45.39/14.33 % (1097539)Termination reason: Instruction limit
% 45.39/14.33 % (1097539)Termination phase: Saturation
% 45.39/14.33 % (1097539)Time elapsed: 2.607 s
% 45.39/14.33 % (1097539)Peak memory usage: 160 MB
% 45.39/14.33 % (1097539)Instructions burned: 4497 (million)
% 45.39/14.33 % (1097540)Refutation found. Thanks to Tanya!
% 45.39/14.33 % SZS status Unsatisfiable for theBenchmark
% 45.39/14.33 % SZS output start Proof for theBenchmark
% See solution above
% 95.82/14.53 % (1097540)------------------------------
% 95.82/14.53 % (1097540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.82/14.53 % (1097540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.82/14.53 % (1097540)CaDiCaL version: 2.1.3
% 95.82/14.53 % (1097540)Termination reason: Refutation
% 95.82/14.53 % (1097540)Time elapsed: 2.331 s
% 95.82/14.53 % (1097540)Peak memory usage: 150 MB
% 95.82/14.53 % (1097540)Instructions burned: 3736 (million)
% 95.82/14.53 % (1097540)------------------------------
% 95.82/14.53 % (1097540)------------------------------
% 95.82/14.53 % (1097444)Success in time 13.468 s
% 95.82/14.53 % Vampire exiting
%------------------------------------------------------------------------------