%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET219-6 : 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 : n011.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 12:40:32 PM UTC 2026
% Result : Unsatisfiable 11.17s 2.49s
% Output : Refutation 11.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 33
% Syntax : Number of formulae : 186 ( 38 unt; 14 def)
% Number of atoms : 463 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 538 ( 261 ~; 274 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 15 con; 0-2 aty)
% Number of variables : 210 ( 0 sgn 210 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,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(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(f122,negated_conjecture,
union(cross_product(x,y),cross_product(x,z)) != cross_product(x,union(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_over_union2_1) ).
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(f185,plain,
complement(intersection(complement(cross_product(x,y)),complement(cross_product(x,z)))) != cross_product(x,complement(intersection(complement(y),complement(z)))),
inference(definition_unfolding,[],[f122,f26,f26]) ).
fof(f190,definition,
sF0 = cross_product(x,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f191,plain,
cross_product(x,y) = sF0,
inference(reorient_equations,[],[f190]) ).
fof(f192,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f193,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF2 = cross_product(x,z),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f195,plain,
cross_product(x,z) = sF2,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f197,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF4 = intersection(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f199,plain,
intersection(sF1,sF3) = sF4,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f201,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF6 = complement(y),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f203,plain,
complement(y) = sF6,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF7 = complement(z),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f205,plain,
complement(z) = sF7,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF8 = intersection(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f207,plain,
intersection(sF6,sF7) = sF8,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f209,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF10 = cross_product(x,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f211,plain,
cross_product(x,sF9) = sF10,
inference(reorient_equations,[],[f210]) ).
fof(f212,plain,
sF5 != sF10,
inference(definition_folding,[],[f185,f211,f209,f207,f205,f203,f201,f199,f197,f195,f193,f191]) ).
fof(f217,plain,
! [X0] :
( member(X0,sF5)
| ~ member(X0,universal_class)
| member(X0,sF4) ),
inference(superposition,[],[f25,f201]) ).
fof(f218,plain,
! [X0] :
( ~ member(X0,sF5)
| ~ member(X0,sF4) ),
inference(superposition,[],[f24,f201]) ).
fof(f219,plain,
! [X0] :
( ~ member(not_subclass_element(sF5,X0),sF4)
| subclass(sF5,X0) ),
inference(resolution,[],[f218,f2]) ).
fof(f221,plain,
! [X0] :
( member(X0,sF7)
| ~ member(X0,sF8) ),
inference(superposition,[],[f22,f207]) ).
fof(f222,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,sF8) ),
inference(superposition,[],[f21,f207]) ).
fof(f223,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,sF4) ),
inference(superposition,[],[f22,f199]) ).
fof(f224,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF4) ),
inference(superposition,[],[f21,f199]) ).
fof(f225,plain,
! [X0] :
( member(X0,sF7)
| ~ member(X0,universal_class)
| member(X0,z) ),
inference(superposition,[],[f25,f205]) ).
fof(f226,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,z) ),
inference(superposition,[],[f24,f205]) ).
fof(f227,plain,
! [X0] :
( member(X0,sF6)
| ~ member(X0,universal_class)
| member(X0,y) ),
inference(superposition,[],[f25,f203]) ).
fof(f228,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,y) ),
inference(superposition,[],[f24,f203]) ).
fof(f232,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,universal_class)
| member(X0,sF0) ),
inference(superposition,[],[f25,f193]) ).
fof(f233,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f24,f193]) ).
fof(f237,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,universal_class)
| member(X0,sF2) ),
inference(superposition,[],[f25,f197]) ).
fof(f238,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,sF2) ),
inference(superposition,[],[f24,f197]) ).
fof(f239,plain,
! [X0] :
( member(X0,sF9)
| ~ member(X0,universal_class)
| member(X0,sF8) ),
inference(superposition,[],[f25,f209]) ).
fof(f240,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sF8) ),
inference(superposition,[],[f24,f209]) ).
fof(f249,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(X0,sF2) ),
inference(resolution,[],[f223,f238]) ).
fof(f252,plain,
! [X0] :
( ~ member(X0,sF8)
| ~ member(X0,z) ),
inference(resolution,[],[f221,f226]) ).
fof(f255,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(X0,sF0) ),
inference(resolution,[],[f224,f233]) ).
fof(f258,plain,
! [X0] :
( ~ member(X0,sF8)
| ~ member(X0,y) ),
inference(resolution,[],[f222,f228]) ).
fof(f261,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f137,f139]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(first(X0),X1)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f136,f139]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF10) ),
inference(superposition,[],[f261,f211]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF2) ),
inference(superposition,[],[f261,f195]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f261,f191]) ).
fof(f268,plain,
! [X0] :
( ~ member(X0,sF10)
| member(second(X0),sF9)
| ~ member(X0,sF10) ),
inference(superposition,[],[f264,f211]) ).
fof(f271,plain,
! [X0] :
( member(second(X0),sF9)
| ~ member(X0,sF10) ),
inference(duplicate_literal_removal,[],[f268]) ).
fof(f272,plain,
! [X0] :
( ~ member(second(X0),sF8)
| ~ member(X0,sF10) ),
inference(resolution,[],[f271,f240]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF10) ),
inference(superposition,[],[f262,f211]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF2) ),
inference(superposition,[],[f262,f195]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f262,f191]) ).
fof(f278,plain,
! [X0] :
( ~ member(X0,sF10)
| member(first(X0),x)
| ~ member(X0,sF10) ),
inference(superposition,[],[f274,f211]) ).
fof(f281,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF10) ),
inference(duplicate_literal_removal,[],[f278]) ).
fof(f283,plain,
! [X0] :
( member(not_subclass_element(X0,sF5),sF4)
| ~ member(not_subclass_element(X0,sF5),universal_class)
| subclass(X0,sF5) ),
inference(resolution,[],[f217,f3]) ).
fof(f285,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF0)
| subclass(X0,sF5)
| ~ member(not_subclass_element(X0,sF5),universal_class) ),
inference(resolution,[],[f283,f255]) ).
fof(f286,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF2)
| subclass(X0,sF5)
| ~ member(not_subclass_element(X0,sF5),universal_class) ),
inference(resolution,[],[f283,f249]) ).
fof(f327,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),X2)
| ~ subclass(X2,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f1,f3]) ).
fof(f337,plain,
! [X0] :
( member(X0,sF8)
| ~ member(X0,sF7)
| ~ member(X0,sF6) ),
inference(superposition,[],[f23,f207]) ).
fof(f338,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,sF3)
| ~ member(X0,sF1) ),
inference(superposition,[],[f23,f199]) ).
fof(f342,plain,
! [X0] :
( ~ member(second(X0),sF7)
| ~ member(second(X0),sF6)
| ~ member(X0,sF10) ),
inference(resolution,[],[f337,f272]) ).
fof(f345,plain,
! [X0] :
( ~ member(not_subclass_element(sF5,X0),sF3)
| ~ member(not_subclass_element(sF5,X0),sF1)
| subclass(sF5,X0) ),
inference(resolution,[],[f338,f219]) ).
fof(f381,plain,
! [X0] :
( ~ member(X0,sF0)
| member(second(X0),y)
| ~ member(X0,sF0) ),
inference(superposition,[],[f266,f191]) ).
fof(f382,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f381]) ).
fof(f388,plain,
! [X0] :
( ~ member(X0,sF2)
| member(second(X0),z)
| ~ member(X0,sF2) ),
inference(superposition,[],[f265,f195]) ).
fof(f390,plain,
! [X0] :
( member(second(X0),z)
| ~ member(X0,sF2) ),
inference(duplicate_literal_removal,[],[f388]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4] :
( member(X0,cross_product(X1,X2))
| ~ member(second(X0),X2)
| ~ member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f138,f139]) ).
fof(f400,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF10)
| ~ member(X1,sF9)
| ~ member(X0,x) ),
inference(superposition,[],[f138,f211]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),sF9)
| ~ member(first(X0),x)
| member(X0,sF10) ),
inference(superposition,[],[f400,f139]) ).
fof(f410,plain,
! [X0] :
( ~ member(second(X0),sF9)
| ~ member(X0,sF2)
| ~ member(first(X0),x)
| member(X0,sF10) ),
inference(superposition,[],[f403,f195]) ).
fof(f411,plain,
! [X0] :
( ~ member(second(X0),sF9)
| ~ member(X0,sF0)
| ~ member(first(X0),x)
| member(X0,sF10) ),
inference(superposition,[],[f403,f191]) ).
fof(f417,plain,
! [X0] :
( ~ member(X0,sF0)
| member(first(X0),x)
| ~ member(X0,sF0) ),
inference(superposition,[],[f276,f191]) ).
fof(f418,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),z)
| ~ member(first(X0),x)
| member(X0,sF2) ),
inference(superposition,[],[f399,f195]) ).
fof(f432,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ~ member(second(X0),y)
| ~ member(first(X0),x)
| member(X0,sF0) ),
inference(superposition,[],[f399,f191]) ).
fof(f438,plain,
! [X0] :
( ~ member(X0,sF2)
| member(first(X0),x)
| ~ member(X0,sF2) ),
inference(superposition,[],[f275,f195]) ).
fof(f440,plain,
! [X0] :
( member(first(X0),x)
| ~ member(X0,sF2) ),
inference(duplicate_literal_removal,[],[f438]) ).
fof(f442,plain,
! [X0] :
( member(second(X0),z)
| ~ member(X0,sF10)
| ~ member(second(X0),universal_class)
| ~ member(second(X0),sF6) ),
inference(resolution,[],[f342,f225]) ).
fof(f563,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(first(X0),x)
| member(X0,sF10)
| ~ member(second(X0),universal_class)
| member(second(X0),sF8) ),
inference(resolution,[],[f411,f239]) ).
fof(f566,plain,
! [X0] :
( member(second(X0),sF8)
| member(X0,sF10)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f563,f418]) ).
fof(f568,plain,
! [X0] :
( member(X0,sF10)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF0)
| ~ member(second(X0),y) ),
inference(resolution,[],[f566,f258]) ).
fof(f570,plain,
! [X0] :
( ~ member(second(X0),universal_class)
| member(X0,sF10)
| ~ member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f568,f382]) ).
fof(f571,plain,
! [X0,X1] :
( member(X0,sF10)
| ~ member(X0,sF0)
| ~ member(second(X0),X1)
| ~ subclass(X1,universal_class) ),
inference(resolution,[],[f570,f1]) ).
fof(f572,plain,
! [X0,X1] :
( ~ member(second(X0),X1)
| ~ member(X0,sF0)
| member(X0,sF10) ),
inference(forward_subsumption_resolution,[],[f571,f4]) ).
fof(f574,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,sF10)
| ~ member(X0,sF0) ),
inference(resolution,[],[f572,f382]) ).
fof(f598,plain,
! [X0] :
( member(X0,sF10)
| ~ member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f574]) ).
fof(f600,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF10),sF0)
| subclass(X0,sF10) ),
inference(resolution,[],[f598,f3]) ).
fof(f627,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(first(X0),x)
| member(X0,sF10)
| ~ member(second(X0),universal_class)
| member(second(X0),sF8) ),
inference(resolution,[],[f410,f239]) ).
fof(f630,plain,
! [X0] :
( member(second(X0),sF8)
| member(X0,sF10)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f627,f440]) ).
fof(f634,plain,
! [X0] :
( member(X0,sF10)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF2)
| ~ member(second(X0),z) ),
inference(resolution,[],[f630,f252]) ).
fof(f636,plain,
! [X0] :
( ~ member(second(X0),universal_class)
| member(X0,sF10)
| ~ member(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f634,f390]) ).
fof(f637,plain,
! [X0,X1] :
( member(X0,sF10)
| ~ member(X0,sF2)
| ~ member(second(X0),X1)
| ~ subclass(X1,universal_class) ),
inference(resolution,[],[f636,f1]) ).
fof(f638,plain,
! [X0,X1] :
( ~ member(second(X0),X1)
| ~ member(X0,sF2)
| member(X0,sF10) ),
inference(forward_subsumption_resolution,[],[f637,f4]) ).
fof(f643,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF10)
| ~ member(X0,sF2) ),
inference(resolution,[],[f638,f390]) ).
fof(f667,plain,
! [X0] :
( member(X0,sF10)
| ~ member(X0,sF2) ),
inference(duplicate_literal_removal,[],[f643]) ).
fof(f670,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF10),sF2)
| subclass(X0,sF10) ),
inference(resolution,[],[f667,f3]) ).
fof(f673,plain,
( subclass(sF2,sF10)
| subclass(sF2,sF10) ),
inference(resolution,[],[f670,f2]) ).
fof(f677,plain,
subclass(sF2,sF10),
inference(duplicate_literal_removal,[],[f673]) ).
fof(f683,definition,
( spl11_29
<=> member(not_subclass_element(sF5,sF10),universal_class) ),
introduced(definition,[new_symbols(definition,[spl11_29])],[avatar_definition]) ).
fof(f684,plain,
( member(not_subclass_element(sF5,sF10),universal_class)
| ~ spl11_29 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f685,plain,
( ~ member(not_subclass_element(sF5,sF10),universal_class)
| spl11_29 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f687,definition,
( spl11_30
<=> subclass(sF5,sF10) ),
introduced(definition,[new_symbols(definition,[spl11_30])],[avatar_definition]) ).
fof(f688,plain,
( ~ subclass(sF5,sF10)
| spl11_30 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( subclass(sF5,sF10)
| ~ spl11_30 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f701,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF5,sF10),X0)
| ~ subclass(X0,universal_class) )
| spl11_29 ),
inference(resolution,[],[f685,f1]) ).
fof(f702,plain,
( ! [X0] : ~ member(not_subclass_element(sF5,sF10),X0)
| spl11_29 ),
inference(forward_subsumption_resolution,[],[f701,f4]) ).
fof(f704,plain,
( subclass(sF5,sF10)
| spl11_29 ),
inference(resolution,[],[f702,f2]) ).
fof(f724,plain,
( spl11_30
| spl11_29 ),
inference(avatar_split_clause,[],[f704,f683,f687]) ).
fof(f862,plain,
! [X0] :
( ~ member(X0,sF10)
| ~ member(second(X0),y)
| ~ member(first(X0),x)
| member(X0,sF0) ),
inference(superposition,[],[f432,f211]) ).
fof(f866,plain,
! [X0] :
( ~ member(second(X0),y)
| ~ member(X0,sF10)
| member(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f862,f281]) ).
fof(f2583,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(X0,universal_class) ),
inference(superposition,[],[f11,f139]) ).
fof(f2913,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF2)
| ~ member(not_subclass_element(sF5,X0),universal_class)
| ~ member(not_subclass_element(sF5,X0),sF1)
| subclass(sF5,X0) ),
inference(resolution,[],[f237,f345]) ).
fof(f4439,plain,
! [X0] :
( member(X0,universal_class)
| ~ member(X0,sF2) ),
inference(superposition,[],[f2583,f195]) ).
fof(f5339,plain,
! [X0] :
( member(X0,universal_class)
| ~ member(X0,sF10) ),
inference(superposition,[],[f2583,f211]) ).
fof(f5750,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF2)
| subclass(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f286,f4439]) ).
fof(f5764,plain,
( ~ subclass(sF10,sF5)
| sF5 = sF10
| ~ spl11_30 ),
inference(resolution,[],[f689,f7]) ).
fof(f5765,plain,
( ~ subclass(sF10,sF5)
| ~ spl11_30 ),
inference(forward_subsumption_resolution,[],[f5764,f212]) ).
fof(f6132,plain,
! [X0] :
( ~ member(X0,sF10)
| ~ member(second(X0),z)
| ~ member(first(X0),x)
| member(X0,sF2) ),
inference(superposition,[],[f431,f211]) ).
fof(f6134,plain,
! [X0] :
( ~ member(second(X0),z)
| ~ member(X0,sF10)
| member(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f6132,f281]) ).
fof(f6556,plain,
! [X0] :
( ~ member(not_subclass_element(sF5,X0),universal_class)
| ~ member(not_subclass_element(sF5,X0),sF1)
| subclass(sF5,X0)
| ~ subclass(sF2,X0)
| subclass(sF5,X0) ),
inference(resolution,[],[f2913,f327]) ).
fof(f6559,plain,
! [X0] :
( ~ member(not_subclass_element(sF5,X0),sF1)
| ~ member(not_subclass_element(sF5,X0),universal_class)
| subclass(sF5,X0)
| ~ subclass(sF2,X0) ),
inference(duplicate_literal_removal,[],[f6556]) ).
fof(f7153,plain,
! [X0] :
( ~ member(not_subclass_element(sF5,X0),universal_class)
| subclass(sF5,X0)
| ~ subclass(sF2,X0)
| ~ member(not_subclass_element(sF5,X0),universal_class)
| member(not_subclass_element(sF5,X0),sF0) ),
inference(resolution,[],[f6559,f232]) ).
fof(f7156,plain,
! [X0] :
( member(not_subclass_element(sF5,X0),sF0)
| subclass(sF5,X0)
| ~ subclass(sF2,X0)
| ~ member(not_subclass_element(sF5,X0),universal_class) ),
inference(duplicate_literal_removal,[],[f7153]) ).
fof(f7158,plain,
( subclass(sF5,sF10)
| ~ subclass(sF2,sF10)
| ~ member(not_subclass_element(sF5,sF10),universal_class)
| subclass(sF5,sF10) ),
inference(resolution,[],[f7156,f600]) ).
fof(f7173,plain,
( subclass(sF5,sF10)
| ~ subclass(sF2,sF10)
| ~ member(not_subclass_element(sF5,sF10),universal_class) ),
inference(duplicate_literal_removal,[],[f7158]) ).
fof(f7281,plain,
! [X0] :
( ~ member(X0,sF10)
| ~ member(second(X0),universal_class)
| ~ member(second(X0),sF6)
| ~ member(X0,sF10)
| member(X0,sF2) ),
inference(resolution,[],[f442,f6134]) ).
fof(f7287,plain,
! [X0] :
( ~ member(second(X0),sF6)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF10)
| member(X0,sF2) ),
inference(duplicate_literal_removal,[],[f7281]) ).
fof(f7289,plain,
! [X0] :
( ~ member(second(X0),universal_class)
| ~ member(X0,sF10)
| member(X0,sF2)
| ~ member(second(X0),universal_class)
| member(second(X0),y) ),
inference(resolution,[],[f7287,f227]) ).
fof(f7292,plain,
! [X0] :
( member(second(X0),y)
| ~ member(X0,sF10)
| member(X0,sF2)
| ~ member(second(X0),universal_class) ),
inference(duplicate_literal_removal,[],[f7289]) ).
fof(f7295,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF2)
| ~ member(second(X0),universal_class)
| ~ member(X0,sF10)
| member(X0,sF0) ),
inference(resolution,[],[f7292,f866]) ).
fof(f7302,plain,
! [X0] :
( ~ member(second(X0),universal_class)
| member(X0,sF2)
| ~ member(X0,sF10)
| member(X0,sF0) ),
inference(duplicate_literal_removal,[],[f7295]) ).
fof(f7306,plain,
! [X0,X1] :
( member(X0,sF2)
| ~ member(X0,sF10)
| member(X0,sF0)
| ~ member(second(X0),X1)
| ~ subclass(X1,universal_class) ),
inference(resolution,[],[f7302,f1]) ).
fof(f7307,plain,
! [X0,X1] :
( ~ member(second(X0),X1)
| ~ member(X0,sF10)
| member(X0,sF0)
| member(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f7306,f4]) ).
fof(f7309,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF0)
| member(X0,sF2)
| ~ member(X0,sF10) ),
inference(resolution,[],[f7307,f271]) ).
fof(f7342,plain,
! [X0] :
( member(X0,sF2)
| member(X0,sF0)
| ~ member(X0,sF10) ),
inference(duplicate_literal_removal,[],[f7309]) ).
fof(f7352,plain,
! [X0] :
( member(not_subclass_element(X0,sF5),sF0)
| ~ member(not_subclass_element(X0,sF5),sF10)
| subclass(X0,sF5) ),
inference(resolution,[],[f7342,f5750]) ).
fof(f7372,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF10)
| subclass(X0,sF5)
| subclass(X0,sF5)
| ~ member(not_subclass_element(X0,sF5),universal_class) ),
inference(resolution,[],[f7352,f285]) ).
fof(f7379,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF10)
| subclass(X0,sF5)
| ~ member(not_subclass_element(X0,sF5),universal_class) ),
inference(duplicate_literal_removal,[],[f7372]) ).
fof(f7381,definition,
( spl11_220
<=> ! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF10)
| subclass(X0,sF5) ) ),
introduced(definition,[new_symbols(definition,[spl11_220])],[avatar_definition]) ).
fof(f7382,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF10)
| subclass(X0,sF5) )
| ~ spl11_220 ),
inference(avatar_component_clause,[],[f7381]) ).
fof(f7385,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF5),sF10)
| subclass(X0,sF5) ),
inference(forward_subsumption_resolution,[],[f7379,f5339]) ).
fof(f7387,plain,
spl11_220,
inference(avatar_split_clause,[],[f7385,f7381]) ).
fof(f7397,plain,
( subclass(sF10,sF5)
| subclass(sF10,sF5)
| ~ spl11_220 ),
inference(resolution,[],[f7382,f2]) ).
fof(f7405,plain,
( subclass(sF10,sF5)
| ~ spl11_220 ),
inference(duplicate_literal_removal,[],[f7397]) ).
fof(f7406,plain,
( $false
| ~ spl11_30
| ~ spl11_220 ),
inference(forward_subsumption_resolution,[],[f7405,f5765]) ).
fof(f7407,plain,
( ~ spl11_30
| ~ spl11_220 ),
inference(avatar_contradiction_clause,[],[f7406]) ).
fof(f7409,plain,
( ~ subclass(sF2,sF10)
| ~ member(not_subclass_element(sF5,sF10),universal_class)
| spl11_30 ),
inference(forward_subsumption_resolution,[],[f7173,f688]) ).
fof(f7482,plain,
( ~ member(not_subclass_element(sF5,sF10),universal_class)
| spl11_30 ),
inference(forward_subsumption_resolution,[],[f7409,f677]) ).
fof(f7497,plain,
( $false
| ~ spl11_29
| spl11_30 ),
inference(forward_subsumption_resolution,[],[f7482,f684]) ).
fof(f7498,plain,
( ~ spl11_29
| spl11_30 ),
inference(avatar_contradiction_clause,[],[f7497]) ).
cnf(s17,plain,
( spl11_29
| spl11_30 ),
inference(sat_conversion,[],[f724]) ).
cnf(s242,plain,
spl11_220,
inference(sat_conversion,[],[f7387]) ).
cnf(s244,plain,
( ~ spl11_30
| ~ spl11_220 ),
inference(sat_conversion,[],[f7407]) ).
cnf(s259,plain,
( ~ spl11_29
| spl11_30 ),
inference(sat_conversion,[],[f7498]) ).
cnf(s260,plain,
~ spl11_30,
inference(rat,[],[s244,s242]) ).
cnf(s261,plain,
~ spl11_29,
inference(rat,[],[s259,s260]) ).
cnf(s274,plain,
$false,
inference(rat,[],[s17,s260,s261]) ).
fof(f7499,plain,
$false,
inference(avatar_sat_refutation,[],[s274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET219-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.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 : Mon Sep 28 01:08:31 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
% 9.84/2.23 % (2926017)Input is clausal, will run a generic CNF schedule.
% 9.84/2.23 % (2926025)lrs+10_1_sil=8000:sp=occurrence:random_seed=1633661265:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.84/2.23 % (2926025)Refutation not found, incomplete strategy
% 9.84/2.23 % (2926025)------------------------------
% 9.84/2.23 % (2926025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.23 % (2926025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.23 % (2926025)CaDiCaL version: 2.1.3
% 9.84/2.23 % (2926025)Termination reason: Refutation not found, incomplete strategy
% 9.84/2.23 % (2926025)Time elapsed: 0.002 s
% 9.84/2.23 % (2926025)Peak memory usage: 88 MB
% 9.84/2.23 % (2926025)Instructions burned: 4 (million)
% 9.84/2.23 % (2926023)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1063124785:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.84/2.23 % (2926022)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=2494214512:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.84/2.23 % (2926026)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3344575220:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.84/2.23 % (2926028)dis-21_1_sil=8000:lcm=predicate:random_seed=4267169713: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)
% 9.84/2.23 % (2926024)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2922063998:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.84/2.23 % (2926027)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3039731882:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.84/2.23 % (2926026)Instruction limit reached!
% 9.84/2.23 % (2926026)------------------------------
% 9.84/2.23 % (2926026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.23 % (2926026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.23 % (2926026)CaDiCaL version: 2.1.3
% 9.84/2.23 % (2926026)Termination reason: Instruction limit
% 9.84/2.23 % (2926026)Termination phase: Saturation
% 9.84/2.23 % (2926026)Time elapsed: 0.068 s
% 9.84/2.23 % (2926026)Peak memory usage: 89 MB
% 9.84/2.23 % (2926026)Instructions burned: 114 (million)
% 9.84/2.23 % (2926028)Instruction limit reached!
% 9.84/2.23 % (2926028)------------------------------
% 9.84/2.23 % (2926028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.23 % (2926028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.23 % (2926028)CaDiCaL version: 2.1.3
% 9.84/2.23 % (2926028)Termination reason: Instruction limit
% 9.84/2.23 % (2926028)Termination phase: Saturation
% 9.84/2.23 % (2926028)Time elapsed: 0.071 s
% 9.84/2.23 % (2926028)Peak memory usage: 89 MB
% 9.84/2.23 % (2926028)Instructions burned: 118 (million)
% 9.84/2.23 % (2926025)------------------------------
% 9.84/2.23 % (2926025)------------------------------
% 9.84/2.23 % (2926027)Instruction limit reached!
% 9.84/2.23 % (2926027)------------------------------
% 9.84/2.23 % (2926027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.23 % (2926027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.23 % (2926027)CaDiCaL version: 2.1.3
% 9.84/2.23 % (2926027)Termination reason: Instruction limit
% 9.84/2.23 % (2926027)Termination phase: Saturation
% 9.84/2.23 % (2926027)Time elapsed: 0.131 s
% 9.84/2.23 % (2926027)Peak memory usage: 90 MB
% 9.84/2.23 % (2926027)Instructions burned: 180 (million)
% 9.84/2.23 % (2926038)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3926063878:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.84/2.23 % (2926038)Refutation not found, incomplete strategy
% 9.84/2.23 % (2926038)------------------------------
% 9.84/2.23 % (2926038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.23 % (2926038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.23 % (2926038)CaDiCaL version: 2.1.3
% 9.84/2.23 % (2926038)Termination reason: Refutation not found, incomplete strategy
% 9.84/2.23 % (2926038)Time elapsed: 0.002 s
% 9.84/2.23 % (2926038)Peak memory usage: 88 MB
% 9.84/2.23 % (2926038)Instructions burned: 4 (million)
% 11.17/2.49 % (2926036)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=1380199796:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.17/2.49 % (2926037)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1204259104:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.17/2.49 % (2926036)Refutation not found, incomplete strategy
% 11.17/2.49 % (2926036)------------------------------
% 11.17/2.49 % (2926036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926036)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926036)Termination reason: Refutation not found, incomplete strategy
% 11.17/2.49 % (2926036)Time elapsed: 0.002 s
% 11.17/2.49 % (2926036)Peak memory usage: 88 MB
% 11.17/2.49 % (2926036)Instructions burned: 2 (million)
% 11.17/2.49 % (2926037)Refutation not found, incomplete strategy
% 11.17/2.49 % (2926037)------------------------------
% 11.17/2.49 % (2926037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926037)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926037)Termination reason: Refutation not found, incomplete strategy
% 11.17/2.49 % (2926037)Time elapsed: 0.011 s
% 11.17/2.49 % (2926037)Peak memory usage: 88 MB
% 11.17/2.49 % (2926037)Instructions burned: 21 (million)
% 11.17/2.49 % (2926039)lrs+10_64_to=lpo:sil=8000:random_seed=1286120739:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.17/2.49 % (2926038)------------------------------
% 11.17/2.49 % (2926038)------------------------------
% 11.17/2.49 % (2926039)Instruction limit reached!
% 11.17/2.49 % (2926039)------------------------------
% 11.17/2.49 % (2926039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926039)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926039)Termination reason: Instruction limit
% 11.17/2.49 % (2926039)Termination phase: Saturation
% 11.17/2.49 % (2926039)Time elapsed: 0.082 s
% 11.17/2.49 % (2926039)Peak memory usage: 89 MB
% 11.17/2.49 % (2926039)Instructions burned: 127 (million)
% 11.17/2.49 % (2926044)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2488933669:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.17/2.49 % (2926036)------------------------------
% 11.17/2.49 % (2926036)------------------------------
% 11.17/2.49 % (2926037)------------------------------
% 11.17/2.49 % (2926037)------------------------------
% 11.17/2.49 % (2926045)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1089543625:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.17/2.49 % (2926044)Instruction limit reached!
% 11.17/2.49 % (2926044)------------------------------
% 11.17/2.49 % (2926044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926044)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926044)Termination reason: Instruction limit
% 11.17/2.49 % (2926044)Termination phase: Saturation
% 11.17/2.49 % (2926044)Time elapsed: 0.066 s
% 11.17/2.49 % (2926044)Peak memory usage: 89 MB
% 11.17/2.49 % (2926044)Instructions burned: 198 (million)
% 11.17/2.49 % (2926047)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2397091657:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.17/2.49 % (2926048)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=1182911606:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.17/2.49 % (2926045)Instruction limit reached!
% 11.17/2.49 % (2926045)------------------------------
% 11.17/2.49 % (2926045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926045)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926045)Termination reason: Instruction limit
% 11.17/2.49 % (2926045)Termination phase: Saturation
% 11.17/2.49 % (2926045)Time elapsed: 0.109 s
% 11.17/2.49 % (2926045)Peak memory usage: 91 MB
% 11.17/2.49 % (2926045)Instructions burned: 157 (million)
% 11.17/2.49 % (2926050)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2222902337:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.17/2.49 % (2926050)Refutation not found, incomplete strategy
% 11.17/2.49 % (2926050)------------------------------
% 11.17/2.49 % (2926050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926050)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926050)Termination reason: Refutation not found, incomplete strategy
% 11.17/2.49 % (2926050)Time elapsed: 0.003 s
% 11.17/2.49 % (2926050)Peak memory usage: 88 MB
% 11.17/2.49 % (2926050)Instructions burned: 8 (million)
% 11.17/2.49 % (2926048)Instruction limit reached!
% 11.17/2.49 % (2926048)------------------------------
% 11.17/2.49 % (2926048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926048)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926048)Termination reason: Instruction limit
% 11.17/2.49 % (2926048)Termination phase: Saturation
% 11.17/2.49 % (2926048)Time elapsed: 0.057 s
% 11.17/2.49 % (2926048)Peak memory usage: 89 MB
% 11.17/2.49 % (2926048)Instructions burned: 106 (million)
% 11.17/2.49 % (2926054)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1516601247:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.17/2.49 % (2926050)------------------------------
% 11.17/2.49 % (2926050)------------------------------
% 11.17/2.49 % (2926055)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2409258171:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.17/2.49 % (2926057)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1324377988:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 11.17/2.49 % (2926057)Refutation not found, incomplete strategy
% 11.17/2.49 % (2926057)------------------------------
% 11.17/2.49 % (2926057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926057)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926057)Termination reason: Refutation not found, incomplete strategy
% 11.17/2.49 % (2926057)Time elapsed: 0.002 s
% 11.17/2.49 % (2926057)Peak memory usage: 88 MB
% 11.17/2.49 % (2926057)Instructions burned: 4 (million)
% 11.17/2.49 % (2926054)Instruction limit reached!
% 11.17/2.49 % (2926054)------------------------------
% 11.17/2.49 % (2926054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926054)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926054)Termination reason: Instruction limit
% 11.17/2.49 % (2926054)Termination phase: Saturation
% 11.17/2.49 % (2926054)Time elapsed: 0.166 s
% 11.17/2.49 % (2926054)Peak memory usage: 90 MB
% 11.17/2.49 % (2926054)Instructions burned: 242 (million)
% 11.17/2.49 % (2926057)------------------------------
% 11.17/2.49 % (2926057)------------------------------
% 11.17/2.49 % (2926060)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=529712948:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.17/2.49 % (2926061)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3548089325:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.17/2.49 % (2926061)Instruction limit reached!
% 11.17/2.49 % (2926061)------------------------------
% 11.17/2.49 % (2926061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926061)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926061)Termination reason: Instruction limit
% 11.17/2.49 % (2926061)Termination phase: Saturation
% 11.17/2.49 % (2926061)Time elapsed: 0.062 s
% 11.17/2.49 % (2926061)Peak memory usage: 89 MB
% 11.17/2.49 % (2926061)Instructions burned: 191 (million)
% 11.17/2.49 % (2926024)First to succeed.
% 11.17/2.49 % (2926024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2926017"
% 11.17/2.49 % (2926064)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4014525400:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 11.17/2.49 % (2926064)Instruction limit reached!
% 11.17/2.49 % (2926064)------------------------------
% 11.17/2.49 % (2926064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926064)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926064)Termination reason: Instruction limit
% 11.17/2.49 % (2926064)Termination phase: Saturation
% 11.17/2.49 % (2926064)Time elapsed: 0.093 s
% 11.17/2.49 % (2926064)Peak memory usage: 91 MB
% 11.17/2.49 % (2926064)Instructions burned: 264 (million)
% 11.17/2.49 % (2926060)Instruction limit reached!
% 11.17/2.49 % (2926060)------------------------------
% 11.17/2.49 % (2926060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926060)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926060)Termination reason: Instruction limit
% 11.17/2.49 % (2926060)Termination phase: Saturation
% 11.17/2.49 % (2926060)Time elapsed: 0.304 s
% 11.17/2.49 % (2926060)Peak memory usage: 93 MB
% 11.17/2.49 % (2926060)Instructions burned: 499 (million)
% 11.17/2.49 % (2926066)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=756195042:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 11.17/2.49 % (2926066)Instruction limit reached!
% 11.17/2.49 % (2926066)------------------------------
% 11.17/2.49 % (2926066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.17/2.49 % (2926066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.17/2.49 % (2926066)CaDiCaL version: 2.1.3
% 11.17/2.49 % (2926066)Termination reason: Instruction limit
% 11.17/2.49 % (2926066)Termination phase: Saturation
% 11.17/2.49 % (2926066)Time elapsed: 0.058 s
% 11.17/2.49 % (2926066)Peak memory usage: 89 MB
% 11.17/2.49 % (2926066)Instructions burned: 159 (million)
% 11.17/2.49 % (2926067)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=2674864960:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 11.17/2.49 % (2926024)Refutation found. Thanks to Tanya!
% 11.17/2.49 % SZS status Unsatisfiable for theBenchmark
% 11.17/2.49 % SZS output start Proof for theBenchmark
% See solution above
% 11.95/2.59 % (2926024)------------------------------
% 11.95/2.59 % (2926024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.95/2.59 % (2926024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.95/2.59 % (2926024)CaDiCaL version: 2.1.3
% 11.95/2.59 % (2926024)Termination reason: Refutation
% 11.95/2.59 % (2926024)Time elapsed: 1.213 s
% 11.95/2.59 % (2926024)Peak memory usage: 136 MB
% 11.95/2.59 % (2926024)Instructions burned: 1807 (million)
% 11.95/2.59 % (2926024)------------------------------
% 11.95/2.59 % (2926024)------------------------------
% 11.95/2.59 % (2926017)Success in time 1.628 s
% 11.95/2.59 % Vampire exiting
%------------------------------------------------------------------------------