%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET545-6 : 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 : n003.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 12:41:08 PM UTC 2026
% Result : Unsatisfiable 24.05s 4.54s
% Output : Refutation 26.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 36
% Syntax : Number of formulae : 137 ( 48 unt; 10 def)
% Number of atoms : 349 ( 51 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 408 ( 196 ~; 212 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 11 ( 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 : 219 ( 219 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
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(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(f20,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation3) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f38,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),X3)
| ~ member(ordered_pair(ordered_pair(X1,X0),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(ordered_pair(ordered_pair(X1,X0),X2),flip(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
fof(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_definition) ).
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(f71,axiom,
! [X0,X1] : sum_class(image(X0,singleton(X1))) = apply(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply) ).
fof(f122,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_application_special_case1_1) ).
fof(f123,negated_conjecture,
apply(universal_class,x) != universal_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_application_special_case1_2) ).
fof(f124,plain,
universal_class != apply(universal_class,x),
inference(reorient_equations,[],[f123]) ).
fof(f125,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
fof(f126,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f127,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f126,f28]) ).
fof(f128,plain,
! [X0,X1] : apply(X0,X1) = domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),universal_class))))))),
inference(definition_unfolding,[],[f71,f125,f127,f12]) ).
fof(f129,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f129]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f129]) ).
fof(f143,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
inference(definition_unfolding,[],[f20,f129,f129]) ).
fof(f146,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(definition_unfolding,[],[f38,f129,f129,f129,f129,f129,f129]) ).
fof(f187,plain,
universal_class != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(universal_class,cross_product(unordered_pair(x,x),universal_class)),universal_class))))))),
inference(definition_unfolding,[],[f124,f128]) ).
fof(f192,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f193,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f192]) ).
fof(f194,definition,
sF1 = cross_product(sF0,universal_class),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f195,plain,
cross_product(sF0,universal_class) = sF1,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF2 = intersection(universal_class,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f197,plain,
intersection(universal_class,sF1) = sF2,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF3 = cross_product(sF2,universal_class),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f199,plain,
cross_product(sF2,universal_class) = sF3,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF4 = flip(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f201,plain,
flip(sF3) = sF4,
inference(reorient_equations,[],[f200]) ).
fof(f202,definition,
sF5 = domain_of(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f203,plain,
domain_of(sF4) = sF5,
inference(reorient_equations,[],[f202]) ).
fof(f204,definition,
sF6 = domain_of(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f205,plain,
domain_of(sF5) = sF6,
inference(reorient_equations,[],[f204]) ).
fof(f206,definition,
sF7 = cross_product(universal_class,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f207,plain,
cross_product(universal_class,sF6) = sF7,
inference(reorient_equations,[],[f206]) ).
fof(f208,definition,
sF8 = intersection(element_relation,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f209,plain,
intersection(element_relation,sF7) = sF8,
inference(reorient_equations,[],[f208]) ).
fof(f210,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f211,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f210]) ).
fof(f212,plain,
universal_class != sF9,
inference(definition_folding,[],[f187,f211,f209,f207,f205,f203,f201,f199,f197,f195,f193]) ).
fof(f213,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF2)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f23,f197]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF8)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f209]) ).
fof(f222,plain,
( member(x,sF0)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f193]) ).
fof(f223,plain,
member(x,sF0),
inference(forward_subsumption_resolution,[],[f222,f122]) ).
fof(f234,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| member(X1,universal_class) ),
inference(superposition,[],[f139,f199]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X0,X1),X2)
| member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0) ),
inference(resolution,[],[f1,f23]) ).
fof(f246,plain,
! [X0] :
( ~ subclass(universal_class,X0)
| universal_class = X0 ),
inference(resolution,[],[f7,f4]) ).
fof(f272,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,universal_class)
| ~ member(X0,sF0) ),
inference(superposition,[],[f140,f195]) ).
fof(f273,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF7)
| ~ member(X1,sF6)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f140,f207]) ).
fof(f274,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| ~ member(X1,universal_class)
| ~ member(X0,sF2) ),
inference(superposition,[],[f140,f199]) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f146]) ).
fof(f303,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,sF0)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),universal_class) ),
inference(resolution,[],[f272,f213]) ).
fof(f310,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(X1,sF0)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f303,f11]) ).
fof(f311,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation)
| ~ member(X1,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF8)
| ~ member(X0,sF6) ),
inference(resolution,[],[f273,f214]) ).
fof(f323,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(resolution,[],[f243,f4]) ).
fof(f328,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f323]) ).
fof(f332,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f328,f2]) ).
fof(f400,plain,
! [X0] :
( member(unordered_pair(sF0,unordered_pair(x,unordered_pair(X0,X0))),sF2)
| ~ member(x,sF0)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f310,f193]) ).
fof(f404,plain,
! [X0] :
( member(unordered_pair(sF0,unordered_pair(x,unordered_pair(X0,X0))),sF2)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f400,f223]) ).
fof(f449,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f285,f140]) ).
fof(f462,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(x,x))),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1))
| ~ member(x,universal_class)
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(superposition,[],[f449,f193]) ).
fof(f467,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(x,x))),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1))
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f462,f122]) ).
fof(f473,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1))
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_demodulation,[],[f467,f193]) ).
fof(f549,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f68,f328]) ).
fof(f558,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f150,f140]) ).
fof(f637,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF4)
| ~ 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))),sF3)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(superposition,[],[f617,f201]) ).
fof(f640,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),sF3)
| 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))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class)) ),
inference(forward_subsumption_resolution,[],[f637,f234]) ).
fof(f649,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(resolution,[],[f640,f274]) ).
fof(f667,plain,
! [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))),sF0)),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(x,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(superposition,[],[f649,f193]) ).
fof(f669,plain,
! [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))),sF0)),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2) ),
inference(forward_subsumption_resolution,[],[f667,f122]) ).
fof(f686,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF4))
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2)) ),
inference(resolution,[],[f669,f473]) ).
fof(f694,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| member(X2,sF5)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2)) ),
inference(forward_demodulation,[],[f686,f203]) ).
fof(f738,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f558,f549]) ).
fof(f740,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f738]) ).
fof(f742,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f740]) ).
fof(f743,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f742,f328]) ).
fof(f1048,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f143,f140]) ).
fof(f1057,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class) ),
inference(forward_subsumption_resolution,[],[f1048,f328]) ).
fof(f1058,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8)
| ~ member(X1,sF6) ),
inference(resolution,[],[f1057,f311]) ).
fof(f1071,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8)
| ~ member(X1,sF6) ),
inference(forward_subsumption_resolution,[],[f1058,f328]) ).
fof(f1072,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF8)
| ~ member(X0,X1)
| ~ member(X1,sF6) ),
inference(forward_subsumption_resolution,[],[f1071,f328]) ).
fof(f1073,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,sF6)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF8))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(resolution,[],[f1072,f449]) ).
fof(f1084,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,sF6)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF8))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f1073,f743]) ).
fof(f1086,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,sF6)
| ~ member(X2,universal_class)
| member(X2,domain_of(sF8))
| ~ member(X0,unordered_pair(X2,X2)) ),
inference(forward_subsumption_resolution,[],[f1084,f328]) ).
fof(f1087,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X2,X2))
| ~ member(X0,X1)
| ~ member(X1,sF6)
| ~ member(X2,universal_class)
| member(X2,sF9) ),
inference(forward_demodulation,[],[f1086,f211]) ).
fof(f1089,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,sF6)
| ~ member(X0,universal_class)
| member(X0,sF9)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f1087,f10]) ).
fof(f1095,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,sF6)
| ~ member(X0,universal_class)
| member(X0,sF9) ),
inference(duplicate_literal_removal,[],[f1089]) ).
fof(f1098,plain,
! [X0,X1] :
( ~ member(X1,sF6)
| ~ member(X0,X1)
| member(X0,sF9) ),
inference(forward_subsumption_resolution,[],[f1095,f328]) ).
fof(f1251,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| member(X2,sF5)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2)) ),
inference(resolution,[],[f694,f743]) ).
fof(f1261,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))
| member(X2,sF5)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f1251,f140]) ).
fof(f1277,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(X1,X1))
| member(X1,sF5)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(X0,X0))),sF2)
| ~ member(x,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f1261,f193]) ).
fof(f1283,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(X1,X1))
| member(X1,sF5)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(X0,X0))),sF2)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f1277,f122]) ).
fof(f1289,plain,
! [X0,X1] :
( ~ member(unordered_pair(sF0,unordered_pair(x,unordered_pair(X0,X0))),sF2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(X1,X1))
| member(X1,sF5)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f1283,f193]) ).
fof(f1291,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),unordered_pair(X1,X1))
| member(X1,sF5)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f1289,f404]) ).
fof(f1293,plain,
! [X0] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),universal_class)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),universal_class) ),
inference(resolution,[],[f1291,f10]) ).
fof(f1296,plain,
! [X0] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),sF5)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f1293]) ).
fof(f1300,plain,
! [X0] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),sF5)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f1296,f11]) ).
fof(f1737,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),null_class)
| ~ member(X1,universal_class)
| member(X1,domain_of(sF5))
| ~ member(X0,unordered_pair(X1,X1)) ),
inference(resolution,[],[f1300,f473]) ).
fof(f1747,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sF0)),null_class)
| ~ member(X1,universal_class)
| member(X1,domain_of(sF5))
| ~ member(X0,unordered_pair(X1,X1)) ),
inference(forward_subsumption_resolution,[],[f1737,f328]) ).
fof(f1748,plain,
! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,domain_of(sF5))
| ~ member(X0,unordered_pair(X1,X1)) ),
inference(forward_subsumption_resolution,[],[f1747,f743]) ).
fof(f1749,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(X1,X1))
| ~ member(X1,universal_class)
| member(X1,sF6) ),
inference(forward_demodulation,[],[f1748,f205]) ).
fof(f1751,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF6)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f1749,f10]) ).
fof(f1759,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF6) ),
inference(duplicate_literal_removal,[],[f1751]) ).
fof(f1761,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF6)
| subclass(X0,X1) ),
inference(resolution,[],[f1759,f332]) ).
fof(f1776,plain,
! [X0] :
( subclass(X0,sF6)
| subclass(X0,sF6) ),
inference(resolution,[],[f1761,f3]) ).
fof(f1783,plain,
! [X0] : subclass(X0,sF6),
inference(duplicate_literal_removal,[],[f1776]) ).
fof(f1787,plain,
universal_class = sF6,
inference(resolution,[],[f1783,f246]) ).
fof(f1796,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ member(X0,universal_class)
| member(X1,sF9) ),
inference(superposition,[],[f1098,f1787]) ).
fof(f1830,plain,
! [X0,X1] :
( ~ member(unordered_pair(X0,X1),universal_class)
| member(X1,sF9)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f1796,f10]) ).
fof(f1891,plain,
! [X1] :
( ~ member(X1,universal_class)
| member(X1,sF9) ),
inference(forward_subsumption_resolution,[],[f1830,f11]) ).
fof(f1893,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),sF9)
| subclass(X0,X1) ),
inference(resolution,[],[f1891,f332]) ).
fof(f1912,plain,
! [X0] :
( subclass(X0,sF9)
| subclass(X0,sF9) ),
inference(resolution,[],[f1893,f3]) ).
fof(f1918,plain,
! [X0] : subclass(X0,sF9),
inference(duplicate_literal_removal,[],[f1912]) ).
fof(f1922,plain,
universal_class = sF9,
inference(resolution,[],[f1918,f246]) ).
fof(f1924,plain,
$false,
inference(forward_subsumption_resolution,[],[f1922,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET545-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n003.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 28 02:09:26 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 18.49/3.44 % (1121143)Input is clausal, will run a generic CNF schedule.
% 18.49/3.44 % (1121154)dis-21_1_sil=8000:lcm=predicate:random_seed=3015290518: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)
% 18.49/3.44 % (1121149)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1775742589:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.49/3.44 % (1121152)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2725550169:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.49/3.44 % (1121153)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2254836375:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.49/3.44 % (1121151)lrs+10_1_sil=8000:sp=occurrence:random_seed=2562380957:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.49/3.44 % (1121150)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=248764132:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.49/3.44 % (1121148)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=3202120752:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.49/3.44 % (1121154)Instruction limit reached!
% 18.49/3.44 % (1121154)------------------------------
% 18.49/3.44 % (1121154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.49/3.44 % (1121154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.49/3.44 % (1121154)CaDiCaL version: 2.1.3
% 18.49/3.44 % (1121154)Termination reason: Instruction limit
% 18.49/3.44 % (1121154)Termination phase: Saturation
% 18.49/3.44 % (1121154)Time elapsed: 0.058 s
% 18.49/3.44 % (1121154)Peak memory usage: 89 MB
% 18.49/3.44 % (1121154)Instructions burned: 119 (million)
% 18.49/3.44 % (1121152)Instruction limit reached!
% 18.49/3.44 % (1121152)------------------------------
% 18.49/3.44 % (1121152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.49/3.44 % (1121152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.49/3.44 % (1121152)CaDiCaL version: 2.1.3
% 18.49/3.44 % (1121152)Termination reason: Instruction limit
% 18.49/3.44 % (1121152)Termination phase: Saturation
% 18.49/3.44 % (1121152)Time elapsed: 0.110 s
% 18.49/3.44 % (1121152)Peak memory usage: 88 MB
% 18.49/3.44 % (1121152)Instructions burned: 114 (million)
% 18.49/3.44 % (1121151)Instruction limit reached!
% 18.49/3.44 % (1121151)------------------------------
% 18.49/3.44 % (1121151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.49/3.44 % (1121151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.49/3.44 % (1121151)CaDiCaL version: 2.1.3
% 18.49/3.44 % (1121151)Termination reason: Instruction limit
% 18.49/3.44 % (1121151)Termination phase: Saturation
% 18.49/3.44 % (1121151)Time elapsed: 0.110 s
% 18.49/3.44 % (1121151)Peak memory usage: 89 MB
% 18.49/3.44 % (1121151)Instructions burned: 107 (million)
% 18.49/3.44 % (1121153)Instruction limit reached!
% 18.49/3.44 % (1121153)------------------------------
% 18.49/3.44 % (1121153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.49/3.44 % (1121153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.49/3.44 % (1121153)CaDiCaL version: 2.1.3
% 18.49/3.44 % (1121153)Termination reason: Instruction limit
% 18.49/3.44 % (1121153)Termination phase: Saturation
% 18.49/3.44 % (1121153)Time elapsed: 0.213 s
% 18.49/3.44 % (1121153)Peak memory usage: 90 MB
% 18.49/3.44 % (1121153)Instructions burned: 181 (million)
% 18.49/3.44 % (1121162)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=2240201387:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 18.49/3.44 % (1121162)Refutation not found, incomplete strategy
% 18.49/3.44 % (1121162)------------------------------
% 18.49/3.44 % (1121162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.49/3.44 % (1121162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.49/3.44 % (1121162)CaDiCaL version: 2.1.3
% 18.49/3.44 % (1121162)Termination reason: Refutation not found, incomplete strategy
% 18.49/3.44 % (1121162)Time elapsed: 0.002 s
% 18.49/3.44 % (1121162)Peak memory usage: 88 MB
% 18.49/3.44 % (1121162)Instructions burned: 2 (million)
% 18.49/3.44 % (1121163)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3120228549:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 24.05/4.53 % (1121164)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=432179847:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 24.05/4.53 % (1121164)Refutation not found, incomplete strategy
% 24.05/4.53 % (1121164)------------------------------
% 24.05/4.53 % (1121164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.53 % (1121164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.53 % (1121164)CaDiCaL version: 2.1.3
% 24.05/4.53 % (1121164)Termination reason: Refutation not found, incomplete strategy
% 24.05/4.53 % (1121164)Time elapsed: 0.005 s
% 24.05/4.53 % (1121164)Peak memory usage: 88 MB
% 24.05/4.53 % (1121164)Instructions burned: 3 (million)
% 24.05/4.53 % (1121165)lrs+10_64_to=lpo:sil=8000:random_seed=1280823031:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 24.05/4.53 % (1121162)------------------------------
% 24.05/4.53 % (1121162)------------------------------
% 24.05/4.53 % (1121163)Instruction limit reached!
% 24.05/4.53 % (1121163)------------------------------
% 24.05/4.53 % (1121163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.53 % (1121163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.53 % (1121163)CaDiCaL version: 2.1.3
% 24.05/4.53 % (1121163)Termination reason: Instruction limit
% 24.05/4.53 % (1121163)Termination phase: Saturation
% 24.05/4.53 % (1121163)Time elapsed: 0.161 s
% 24.05/4.53 % (1121163)Peak memory usage: 90 MB
% 24.05/4.53 % (1121163)Instructions burned: 190 (million)
% 24.05/4.53 % (1121165)Instruction limit reached!
% 24.05/4.53 % (1121165)------------------------------
% 24.05/4.53 % (1121165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.53 % (1121165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.53 % (1121165)CaDiCaL version: 2.1.3
% 24.05/4.53 % (1121165)Termination reason: Instruction limit
% 24.05/4.53 % (1121165)Termination phase: Saturation
% 24.05/4.53 % (1121165)Time elapsed: 0.134 s
% 24.05/4.53 % (1121165)Peak memory usage: 90 MB
% 24.05/4.53 % (1121165)Instructions burned: 126 (million)
% 24.05/4.53 % (1121170)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=323063000:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 24.05/4.53 % (1121164)------------------------------
% 24.05/4.53 % (1121164)------------------------------
% 24.05/4.53 % (1121171)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2983406372:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 24.05/4.53 % (1121172)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1921036:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 24.05/4.53 % (1121170)Instruction limit reached!
% 24.05/4.53 % (1121170)------------------------------
% 24.05/4.53 % (1121170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.53 % (1121170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.53 % (1121170)CaDiCaL version: 2.1.3
% 24.05/4.53 % (1121170)Termination reason: Instruction limit
% 24.05/4.53 % (1121170)Termination phase: Saturation
% 24.05/4.53 % (1121170)Time elapsed: 0.110 s
% 24.05/4.54 % (1121170)Peak memory usage: 89 MB
% 24.05/4.54 % (1121170)Instructions burned: 195 (million)
% 24.05/4.54 % (1121171)Instruction limit reached!
% 24.05/4.54 % (1121171)------------------------------
% 24.05/4.54 % (1121171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121171)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121171)Termination reason: Instruction limit
% 24.05/4.54 % (1121171)Termination phase: Saturation
% 24.05/4.54 % (1121171)Time elapsed: 0.171 s
% 24.05/4.54 % (1121171)Peak memory usage: 91 MB
% 24.05/4.54 % (1121171)Instructions burned: 157 (million)
% 24.05/4.54 % (1121175)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=140405825:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 24.05/4.54 % (1121177)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1852512852:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 24.05/4.54 % (1121175)Instruction limit reached!
% 24.05/4.54 % (1121175)------------------------------
% 24.05/4.54 % (1121175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121175)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121175)Termination reason: Instruction limit
% 24.05/4.54 % (1121175)Termination phase: Saturation
% 24.05/4.54 % (1121175)Time elapsed: 0.110 s
% 24.05/4.54 % (1121175)Peak memory usage: 90 MB
% 24.05/4.54 % (1121175)Instructions burned: 106 (million)
% 24.05/4.54 % (1121177)Instruction limit reached!
% 24.05/4.54 % (1121177)------------------------------
% 24.05/4.54 % (1121177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121177)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121177)Termination reason: Instruction limit
% 24.05/4.54 % (1121177)Termination phase: Saturation
% 24.05/4.54 % (1121177)Time elapsed: 0.133 s
% 24.05/4.54 % (1121177)Peak memory usage: 89 MB
% 24.05/4.54 % (1121177)Instructions burned: 107 (million)
% 24.05/4.54 % (1121178)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2956983148:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 24.05/4.54 % (1121181)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3286093393:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 24.05/4.54 % (1121182)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3603934652:i=134:sd=2:doe=on:ss=axioms:sgt=14_2985 on theBenchmark for (2985ds/134Mi)
% 24.05/4.54 % (1121182)Refutation not found, incomplete strategy
% 24.05/4.54 % (1121182)------------------------------
% 24.05/4.54 % (1121182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121182)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121182)Termination reason: Refutation not found, incomplete strategy
% 24.05/4.54 % (1121182)Time elapsed: 0.011 s
% 24.05/4.54 % (1121182)Peak memory usage: 88 MB
% 24.05/4.54 % (1121182)Instructions burned: 9 (million)
% 24.05/4.54 % (1121178)Instruction limit reached!
% 24.05/4.54 % (1121178)------------------------------
% 24.05/4.54 % (1121178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121178)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121178)Termination reason: Instruction limit
% 24.05/4.54 % (1121178)Termination phase: Saturation
% 24.05/4.54 % (1121178)Time elapsed: 0.264 s
% 24.05/4.54 % (1121178)Peak memory usage: 91 MB
% 24.05/4.54 % (1121178)Instructions burned: 242 (million)
% 24.05/4.54 % (1121186)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=790612735:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 24.05/4.54 % (1121182)------------------------------
% 24.05/4.54 % (1121182)------------------------------
% 24.05/4.54 % (1121188)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2916608428:i=191:fgj=on:bd=all_2978 on theBenchmark for (2978ds/191Mi)
% 24.05/4.54 % (1121186)Instruction limit reached!
% 24.05/4.54 % (1121186)------------------------------
% 24.05/4.54 % (1121186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121186)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121186)Termination reason: Instruction limit
% 24.05/4.54 % (1121186)Termination phase: Saturation
% 24.05/4.54 % (1121186)Time elapsed: 0.511 s
% 24.05/4.54 % (1121186)Peak memory usage: 96 MB
% 24.05/4.54 % (1121186)Instructions burned: 499 (million)
% 24.05/4.54 % (1121188)Instruction limit reached!
% 24.05/4.54 % (1121188)------------------------------
% 24.05/4.54 % (1121188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121188)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121188)Termination reason: Instruction limit
% 24.05/4.54 % (1121188)Termination phase: Saturation
% 24.05/4.54 % (1121188)Time elapsed: 0.184 s
% 24.05/4.54 % (1121188)Peak memory usage: 89 MB
% 24.05/4.54 % (1121188)Instructions burned: 192 (million)
% 24.05/4.54 % (1121190)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1350666771:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 24.05/4.54 % (1121191)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2123006201:cond=on:i=156:bs=on:gtg=exists_all:er=known_2973 on theBenchmark for (2973ds/156Mi)
% 24.05/4.54 % (1121190)Instruction limit reached!
% 24.05/4.54 % (1121190)------------------------------
% 24.05/4.54 % (1121190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121190)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121190)Termination reason: Instruction limit
% 24.05/4.54 % (1121190)Termination phase: Saturation
% 24.05/4.54 % (1121190)Time elapsed: 0.243 s
% 24.05/4.54 % (1121190)Peak memory usage: 92 MB
% 24.05/4.54 % (1121190)Instructions burned: 265 (million)
% 24.05/4.54 % (1121191)Instruction limit reached!
% 24.05/4.54 % (1121191)------------------------------
% 24.05/4.54 % (1121191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121191)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121191)Termination reason: Instruction limit
% 24.05/4.54 % (1121191)Termination phase: Saturation
% 24.05/4.54 % (1121191)Time elapsed: 0.178 s
% 24.05/4.54 % (1121191)Peak memory usage: 90 MB
% 24.05/4.54 % (1121191)Instructions burned: 156 (million)
% 24.05/4.54 % (1121194)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=2777477790:i=3256:kws=precedence:bd=preordered:av=off_2970 on theBenchmark for (2970ds/3256Mi)
% 24.05/4.54 % (1121181)First to succeed.
% 24.05/4.54 % (1121181)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1121143"
% 24.05/4.54 % (1121195)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1623994422:i=537:av=off:ss=included_2969 on theBenchmark for (2969ds/537Mi)
% 24.05/4.54 % (1121195)Refutation not found, incomplete strategy
% 24.05/4.54 % (1121195)------------------------------
% 24.05/4.54 % (1121195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.05/4.54 % (1121195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.05/4.54 % (1121195)CaDiCaL version: 2.1.3
% 24.05/4.54 % (1121195)Termination reason: Refutation not found, incomplete strategy
% 24.05/4.54 % (1121195)Time elapsed: 0.002 s
% 24.05/4.54 % (1121195)Peak memory usage: 87 MB
% 24.05/4.54 % (1121181)Refutation found. Thanks to Tanya!
% 24.05/4.54 % SZS status Unsatisfiable for theBenchmark
% 24.05/4.54 % SZS output start Proof for theBenchmark
% See solution above
% 26.73/4.76 % (1121181)------------------------------
% 26.73/4.76 % (1121181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.73/4.76 % (1121181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.73/4.76 % (1121181)CaDiCaL version: 2.1.3
% 26.73/4.76 % (1121181)Termination reason: Refutation
% 26.73/4.76 % (1121181)Time elapsed: 1.520 s
% 26.73/4.76 % (1121181)Peak memory usage: 133 MB
% 26.73/4.76 % (1121181)Instructions burned: 1414 (million)
% 26.73/4.76 % (1121181)------------------------------
% 26.73/4.76 % (1121181)------------------------------
% 26.73/4.76 % (1121143)Success in time 3.708 s
% 26.73/4.76 % Vampire exiting
%------------------------------------------------------------------------------