%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET546-6 : 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 : n010.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 22.25s 4.27s
% Output : Refutation 23.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 34
% Syntax : Number of formulae : 142 ( 70 unt; 10 def)
% Number of atoms : 241 ( 100 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 186 ( 87 ~; 99 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 14 con; 0-3 aty)
% Number of variables : 187 ( 187 !; 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
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(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(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(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f36,axiom,
! [X0] : subclass(flip(X0),cross_product(cross_product(universal_class,universal_class),universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip1) ).
fof(f37,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),flip(X3))
| member(ordered_pair(ordered_pair(X1,X0),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip2) ).
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,
apply(null_class,x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_application_special_case2_1) ).
fof(f123,plain,
null_class != apply(null_class,x),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_application_special_case2_2) ).
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(f138,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,f129]) ).
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(f141,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,f129]) ).
fof(f144,plain,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = intersection(X2,cross_product(X0,X1)),
inference(definition_unfolding,[],[f29,f28]) ).
fof(f145,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),flip(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))),X3) ),
inference(definition_unfolding,[],[f37,f129,f129,f129,f129]) ).
fof(f187,plain,
null_class != domain_of(intersection(element_relation,cross_product(universal_class,domain_of(domain_of(flip(cross_product(intersection(null_class,cross_product(unordered_pair(x,x),universal_class)),universal_class))))))),
inference(definition_unfolding,[],[f123,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(null_class,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f197,plain,
intersection(null_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,
null_class != sF9,
inference(definition_folding,[],[f187,f211,f209,f207,f205,f203,f201,f199,f197,f195,f193]) ).
fof(f218,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f220,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,null_class) ),
inference(superposition,[],[f21,f197]) ).
fof(f242,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f251,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) ),
inference(superposition,[],[f149,f201]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f138,f141]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f139,f141]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f257]) ).
fof(f260,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f256]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f279,plain,
! [X0] : intersection(X0,sF1) = intersection(sF1,X0),
inference(superposition,[],[f144,f195]) ).
fof(f314,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f193]) ).
fof(f316,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0 ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f318,plain,
( x = regular(sF0)
| null_class = sF0 ),
inference(resolution,[],[f316,f68]) ).
fof(f319,plain,
! [X0] :
( regular(X0) = x
| ~ subclass(X0,sF0)
| null_class = X0 ),
inference(resolution,[],[f316,f242]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f263,f4]) ).
fof(f343,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f334]) ).
fof(f347,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f343,f2]) ).
fof(f349,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f343,f68]) ).
fof(f358,plain,
! [X0] :
( member(x,universal_class)
| null_class = X0
| ~ subclass(X0,sF0)
| null_class = X0 ),
inference(superposition,[],[f349,f319]) ).
fof(f359,plain,
! [X0] :
( member(x,universal_class)
| null_class = X0
| ~ subclass(X0,sF0) ),
inference(duplicate_literal_removal,[],[f358]) ).
fof(f360,plain,
! [X0] :
( ~ subclass(X0,sF0)
| null_class = X0 ),
inference(forward_subsumption_resolution,[],[f359,f124]) ).
fof(f408,plain,
( member(x,universal_class)
| null_class = sF0
| null_class = sF0 ),
inference(superposition,[],[f349,f318]) ).
fof(f415,plain,
( member(x,universal_class)
| null_class = sF0 ),
inference(duplicate_literal_removal,[],[f408]) ).
fof(f416,plain,
null_class = sF0,
inference(forward_subsumption_resolution,[],[f415,f124]) ).
fof(f420,plain,
! [X0] :
( ~ member(X0,null_class)
| x = X0 ),
inference(superposition,[],[f316,f416]) ).
fof(f421,plain,
sF1 = cross_product(null_class,universal_class),
inference(superposition,[],[f195,f416]) ).
fof(f422,plain,
! [X0] :
( x = not_subclass_element(null_class,X0)
| subclass(null_class,X0) ),
inference(resolution,[],[f420,f2]) ).
fof(f427,plain,
! [X0] :
( member(x,universal_class)
| subclass(null_class,X0)
| subclass(null_class,X0) ),
inference(superposition,[],[f347,f422]) ).
fof(f432,plain,
! [X0] :
( member(x,universal_class)
| subclass(null_class,X0) ),
inference(duplicate_literal_removal,[],[f427]) ).
fof(f433,plain,
! [X0] : subclass(null_class,X0),
inference(forward_subsumption_resolution,[],[f432,f124]) ).
fof(f482,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f260,f68]) ).
fof(f483,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| member(first(regular(X0)),X1)
| null_class = X0 ),
inference(resolution,[],[f260,f242]) ).
fof(f486,plain,
! [X0] :
( member(first(X0),null_class)
| ~ member(X0,sF1) ),
inference(superposition,[],[f260,f421]) ).
fof(f487,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF7) ),
inference(superposition,[],[f260,f207]) ).
fof(f508,plain,
! [X0] :
( member(second(X0),sF6)
| ~ member(X0,sF7) ),
inference(superposition,[],[f259,f207]) ).
fof(f551,plain,
! [X0] :
( first(X0) = x
| ~ member(X0,sF1) ),
inference(resolution,[],[f486,f420]) ).
fof(f553,plain,
! [X0,X1] :
( ~ member(X0,sF1)
| ~ subclass(null_class,X1)
| member(first(X0),X1) ),
inference(resolution,[],[f486,f1]) ).
fof(f554,plain,
! [X0,X1] :
( member(first(X0),X1)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f553,f433]) ).
fof(f559,plain,
! [X0] :
( member(x,null_class)
| ~ member(X0,sF1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f486,f551]) ).
fof(f560,plain,
! [X0] :
( member(x,universal_class)
| ~ member(X0,sF7)
| ~ member(X0,sF1) ),
inference(superposition,[],[f487,f551]) ).
fof(f561,plain,
! [X0] :
( ~ member(X0,sF1)
| member(x,null_class) ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f562,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f560,f124]) ).
fof(f569,plain,
! [X0] :
( member(x,null_class)
| subclass(sF1,X0) ),
inference(resolution,[],[f561,f2]) ).
fof(f582,plain,
! [X0] :
( subclass(sF1,X0)
| member(x,universal_class) ),
inference(resolution,[],[f569,f343]) ).
fof(f585,plain,
! [X0] : subclass(sF1,X0),
inference(forward_subsumption_resolution,[],[f582,f124]) ).
fof(f589,plain,
null_class = sF1,
inference(resolution,[],[f585,f360]) ).
fof(f596,plain,
! [X0] : intersection(X0,null_class) = intersection(null_class,X0),
inference(superposition,[],[f279,f589]) ).
fof(f671,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(first(X0),sF1) ),
inference(resolution,[],[f554,f562]) ).
fof(f679,plain,
! [X0] : ~ member(X0,sF1),
inference(forward_subsumption_resolution,[],[f671,f554]) ).
fof(f683,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_demodulation,[],[f679,f589]) ).
fof(f984,plain,
! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| null_class = flip(X0) ),
inference(resolution,[],[f36,f483]) ).
fof(f1444,plain,
! [X0] :
( null_class = cross_product(sF2,X0)
| member(first(regular(cross_product(sF2,X0))),null_class) ),
inference(resolution,[],[f482,f220]) ).
fof(f1469,plain,
! [X0] : null_class = cross_product(sF2,X0),
inference(forward_subsumption_resolution,[],[f1444,f683]) ).
fof(f1490,plain,
null_class = sF3,
inference(superposition,[],[f199,f1469]) ).
fof(f1496,plain,
sF4 = flip(null_class),
inference(superposition,[],[f201,f1490]) ).
fof(f1665,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0))))),unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X1,X1))),sF3)
| ~ member(X0,cross_product(X2,X3)) ),
inference(superposition,[],[f251,f141]) ).
fof(f1672,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0))))),unordered_pair(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),unordered_pair(X1,X1))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X0,cross_product(X2,X3)) ),
inference(forward_demodulation,[],[f1665,f1490]) ).
fof(f1677,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X0,cross_product(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f1672,f683]) ).
fof(f1691,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(first(X0),cross_product(X1,X2))
| ~ member(X0,sF4)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f1677,f141]) ).
fof(f2151,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f218,f683]) ).
fof(f2217,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(superposition,[],[f596,f2151]) ).
fof(f2224,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f145,f2151]) ).
fof(f2227,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f2224]) ).
fof(f2258,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f2227,f68]) ).
fof(f2809,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| ~ member(regular(flip(X0)),sF4)
| null_class = flip(X0) ),
inference(resolution,[],[f984,f1691]) ).
fof(f2831,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),sF4)
| null_class = flip(X0)
| ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0) ),
inference(resolution,[],[f2809,f242]) ).
fof(f2848,plain,
! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0)
| ~ member(regular(flip(X0)),sF4) ),
inference(duplicate_literal_removal,[],[f2831]) ).
fof(f2858,plain,
! [X0] :
( ~ member(regular(flip(X0)),sF4)
| null_class = flip(X0) ),
inference(resolution,[],[f2848,f36]) ).
fof(f2883,plain,
( ~ member(regular(sF4),sF4)
| null_class = flip(null_class) ),
inference(superposition,[],[f2858,f1496]) ).
fof(f2889,plain,
( null_class = sF4
| ~ member(regular(sF4),sF4) ),
inference(forward_demodulation,[],[f2883,f1496]) ).
fof(f2891,plain,
null_class = sF4,
inference(forward_subsumption_resolution,[],[f2889,f68]) ).
fof(f2893,plain,
sF5 = domain_of(null_class),
inference(superposition,[],[f203,f2891]) ).
fof(f2899,plain,
null_class = sF5,
inference(forward_demodulation,[],[f2893,f2258]) ).
fof(f2900,plain,
sF6 = domain_of(null_class),
inference(superposition,[],[f205,f2899]) ).
fof(f2901,plain,
null_class = sF6,
inference(forward_demodulation,[],[f2900,f2258]) ).
fof(f2903,plain,
! [X0] :
( member(second(X0),null_class)
| ~ member(X0,sF7) ),
inference(superposition,[],[f508,f2901]) ).
fof(f2905,plain,
! [X0] : ~ member(X0,sF7),
inference(forward_subsumption_resolution,[],[f2903,f683]) ).
fof(f2913,plain,
null_class = sF7,
inference(resolution,[],[f2905,f68]) ).
fof(f2923,plain,
sF8 = intersection(element_relation,null_class),
inference(superposition,[],[f209,f2913]) ).
fof(f2936,plain,
null_class = sF8,
inference(forward_demodulation,[],[f2923,f2217]) ).
fof(f2940,plain,
sF9 = domain_of(null_class),
inference(superposition,[],[f211,f2936]) ).
fof(f2941,plain,
null_class = sF9,
inference(forward_demodulation,[],[f2940,f2258]) ).
fof(f2942,plain,
$false,
inference(forward_subsumption_resolution,[],[f2941,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET546-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n010.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 28 02:08:02 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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
% 17.88/3.66 % (1495323)Input is clausal, will run a generic CNF schedule.
% 17.88/3.66 % (1495330)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1549775030:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.88/3.66 % (1495328)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=3242032646:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.88/3.66 % (1495329)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1155974346:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.88/3.66 % (1495331)lrs+10_1_sil=8000:sp=occurrence:random_seed=3375263555:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.88/3.66 % (1495333)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1378642362:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.88/3.66 % (1495334)dis-21_1_sil=8000:lcm=predicate:random_seed=1068603632: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)
% 17.88/3.66 % (1495332)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2137044089:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.88/3.66 % (1495334)Instruction limit reached!
% 17.88/3.66 % (1495334)------------------------------
% 17.88/3.66 % (1495334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.88/3.66 % (1495334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.88/3.66 % (1495334)CaDiCaL version: 2.1.3
% 17.88/3.66 % (1495334)Termination reason: Instruction limit
% 17.88/3.66 % (1495334)Termination phase: Saturation
% 17.88/3.66 % (1495334)Time elapsed: 0.103 s
% 17.88/3.66 % (1495334)Peak memory usage: 89 MB
% 17.88/3.66 % (1495334)Instructions burned: 117 (million)
% 17.88/3.66 % (1495331)Instruction limit reached!
% 17.88/3.66 % (1495331)------------------------------
% 17.88/3.66 % (1495331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.88/3.66 % (1495331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.88/3.66 % (1495331)CaDiCaL version: 2.1.3
% 17.88/3.66 % (1495331)Termination reason: Instruction limit
% 17.88/3.66 % (1495331)Termination phase: Saturation
% 17.88/3.66 % (1495331)Time elapsed: 0.105 s
% 17.88/3.66 % (1495331)Peak memory usage: 89 MB
% 17.88/3.66 % (1495331)Instructions burned: 107 (million)
% 17.88/3.66 % (1495332)Instruction limit reached!
% 17.88/3.66 % (1495332)------------------------------
% 17.88/3.66 % (1495332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.88/3.66 % (1495332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.88/3.66 % (1495332)CaDiCaL version: 2.1.3
% 17.88/3.66 % (1495332)Termination reason: Instruction limit
% 17.88/3.66 % (1495332)Termination phase: Saturation
% 17.88/3.66 % (1495332)Time elapsed: 0.113 s
% 17.88/3.66 % (1495332)Peak memory usage: 89 MB
% 17.88/3.66 % (1495332)Instructions burned: 115 (million)
% 17.88/3.66 % (1495333)Instruction limit reached!
% 17.88/3.66 % (1495333)------------------------------
% 17.88/3.66 % (1495333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.88/3.66 % (1495333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.88/3.66 % (1495333)CaDiCaL version: 2.1.3
% 17.88/3.66 % (1495333)Termination reason: Instruction limit
% 17.88/3.66 % (1495333)Termination phase: Saturation
% 17.88/3.66 % (1495333)Time elapsed: 0.211 s
% 17.88/3.66 % (1495333)Peak memory usage: 90 MB
% 17.88/3.66 % (1495333)Instructions burned: 180 (million)
% 17.88/3.66 % (1495342)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=1994990346:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 17.88/3.66 % (1495343)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3002727315: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)
% 17.88/3.66 % (1495342)Refutation not found, incomplete strategy
% 17.88/3.66 % (1495342)------------------------------
% 17.88/3.66 % (1495342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.88/3.66 % (1495342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.88/3.66 % (1495342)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495342)Termination reason: Refutation not found, incomplete strategy
% 22.25/4.27 % (1495342)Time elapsed: 0.006 s
% 22.25/4.27 % (1495342)Peak memory usage: 88 MB
% 22.25/4.27 % (1495342)Instructions burned: 4 (million)
% 22.25/4.27 % (1495344)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=813908425:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 22.25/4.27 % (1495345)lrs+10_64_to=lpo:sil=8000:random_seed=1282528842:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 22.25/4.27 % (1495343)Instruction limit reached!
% 22.25/4.27 % (1495343)------------------------------
% 22.25/4.27 % (1495343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495343)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495343)Termination reason: Instruction limit
% 22.25/4.27 % (1495343)Termination phase: Saturation
% 22.25/4.27 % (1495343)Time elapsed: 0.164 s
% 22.25/4.27 % (1495343)Peak memory usage: 92 MB
% 22.25/4.27 % (1495343)Instructions burned: 189 (million)
% 22.25/4.27 % (1495344)Instruction limit reached!
% 22.25/4.27 % (1495344)------------------------------
% 22.25/4.27 % (1495344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495344)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495344)Termination reason: Instruction limit
% 22.25/4.27 % (1495344)Termination phase: Saturation
% 22.25/4.27 % (1495344)Time elapsed: 0.209 s
% 22.25/4.27 % (1495344)Peak memory usage: 89 MB
% 22.25/4.27 % (1495344)Instructions burned: 220 (million)
% 22.25/4.27 % (1495345)Instruction limit reached!
% 22.25/4.27 % (1495345)------------------------------
% 22.25/4.27 % (1495345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495345)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495345)Termination reason: Instruction limit
% 22.25/4.27 % (1495345)Termination phase: Saturation
% 22.25/4.27 % (1495345)Time elapsed: 0.131 s
% 22.25/4.27 % (1495345)Peak memory usage: 89 MB
% 22.25/4.27 % (1495345)Instructions burned: 126 (million)
% 22.25/4.27 % (1495342)------------------------------
% 22.25/4.27 % (1495342)------------------------------
% 22.25/4.27 % (1495350)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=814406371:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 22.25/4.27 % (1495350)Instruction limit reached!
% 22.25/4.27 % (1495350)------------------------------
% 22.25/4.27 % (1495350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495350)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495350)Termination reason: Instruction limit
% 22.25/4.27 % (1495350)Termination phase: Saturation
% 22.25/4.27 % (1495350)Time elapsed: 0.103 s
% 22.25/4.27 % (1495350)Peak memory usage: 89 MB
% 22.25/4.27 % (1495350)Instructions burned: 195 (million)
% 22.25/4.27 % (1495351)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=52834545:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 22.25/4.27 % (1495352)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1352204630:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 22.25/4.27 % (1495355)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1108968325:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 22.25/4.27 % (1495355)Refutation not found, incomplete strategy
% 22.25/4.27 % (1495355)------------------------------
% 22.25/4.27 % (1495355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495355)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495355)Termination reason: Refutation not found, incomplete strategy
% 22.25/4.27 % (1495355)Time elapsed: 0.003 s
% 22.25/4.27 % (1495355)Peak memory usage: 88 MB
% 22.25/4.27 % (1495355)Instructions burned: 9 (million)
% 22.25/4.27 % (1495354)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=928921003:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 22.25/4.27 % (1495351)Instruction limit reached!
% 22.25/4.27 % (1495351)------------------------------
% 22.25/4.27 % (1495351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495351)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495351)Termination reason: Instruction limit
% 22.25/4.27 % (1495351)Termination phase: Saturation
% 22.25/4.27 % (1495351)Time elapsed: 0.177 s
% 22.25/4.27 % (1495351)Peak memory usage: 91 MB
% 22.25/4.27 % (1495351)Instructions burned: 159 (million)
% 22.25/4.27 % (1495354)Instruction limit reached!
% 22.25/4.27 % (1495354)------------------------------
% 22.25/4.27 % (1495354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495354)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495354)Termination reason: Instruction limit
% 22.25/4.27 % (1495354)Termination phase: Saturation
% 22.25/4.27 % (1495354)Time elapsed: 0.104 s
% 22.25/4.27 % (1495354)Peak memory usage: 90 MB
% 22.25/4.27 % (1495354)Instructions burned: 106 (million)
% 22.25/4.27 % (1495355)------------------------------
% 22.25/4.27 % (1495355)------------------------------
% 22.25/4.27 % (1495360)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3619476519:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 22.25/4.27 % (1495361)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3003210151:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 22.25/4.27 % (1495360)Instruction limit reached!
% 22.25/4.27 % (1495360)------------------------------
% 22.25/4.27 % (1495360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495360)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495360)Termination reason: Instruction limit
% 22.25/4.27 % (1495360)Termination phase: Saturation
% 22.25/4.27 % (1495360)Time elapsed: 0.196 s
% 22.25/4.27 % (1495360)Peak memory usage: 91 MB
% 22.25/4.27 % (1495360)Instructions burned: 243 (million)
% 22.25/4.27 % (1495362)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3755410088:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 22.25/4.27 % (1495362)Instruction limit reached!
% 22.25/4.27 % (1495362)------------------------------
% 22.25/4.27 % (1495362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495362)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495362)Termination reason: Instruction limit
% 22.25/4.27 % (1495362)Termination phase: Saturation
% 22.25/4.27 % (1495362)Time elapsed: 0.078 s
% 22.25/4.27 % (1495362)Peak memory usage: 90 MB
% 22.25/4.27 % (1495362)Instructions burned: 134 (million)
% 22.25/4.27 % (1495365)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3965780204:i=499:bd=all_2982 on theBenchmark for (2982ds/499Mi)
% 22.25/4.27 % (1495367)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4902051:i=191:fgj=on:bd=all_2981 on theBenchmark for (2981ds/191Mi)
% 22.25/4.27 % (1495367)Instruction limit reached!
% 22.25/4.27 % (1495367)------------------------------
% 22.25/4.27 % (1495367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495367)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495367)Termination reason: Instruction limit
% 22.25/4.27 % (1495367)Termination phase: Saturation
% 22.25/4.27 % (1495367)Time elapsed: 0.093 s
% 22.25/4.27 % (1495367)Peak memory usage: 89 MB
% 22.25/4.27 % (1495367)Instructions burned: 192 (million)
% 22.25/4.27 % (1495370)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=689997907:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 22.25/4.27 % (1495365)Instruction limit reached!
% 22.25/4.27 % (1495365)------------------------------
% 22.25/4.27 % (1495365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495365)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495365)Termination reason: Instruction limit
% 22.25/4.27 % (1495365)Termination phase: Saturation
% 22.25/4.27 % (1495365)Time elapsed: 0.519 s
% 22.25/4.27 % (1495365)Peak memory usage: 93 MB
% 22.25/4.27 % (1495365)Instructions burned: 499 (million)
% 22.25/4.27 % (1495370)Instruction limit reached!
% 22.25/4.27 % (1495370)------------------------------
% 22.25/4.27 % (1495370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495370)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495370)Termination reason: Instruction limit
% 22.25/4.27 % (1495370)Termination phase: Saturation
% 22.25/4.27 % (1495370)Time elapsed: 0.263 s
% 22.25/4.27 % (1495370)Peak memory usage: 92 MB
% 22.25/4.27 % (1495370)Instructions burned: 265 (million)
% 22.25/4.27 % (1495372)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3146374957:cond=on:i=156:bs=on:gtg=exists_all:er=known_2974 on theBenchmark for (2974ds/156Mi)
% 22.25/4.27 % (1495361)First to succeed.
% 22.25/4.27 % (1495373)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=306328437:i=3256:kws=precedence:bd=preordered:av=off_2972 on theBenchmark for (2972ds/3256Mi)
% 22.25/4.27 % (1495361)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1495323"
% 22.25/4.27 % (1495372)Instruction limit reached!
% 22.25/4.27 % (1495372)------------------------------
% 22.25/4.27 % (1495372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.25/4.27 % (1495372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.25/4.27 % (1495372)CaDiCaL version: 2.1.3
% 22.25/4.27 % (1495372)Termination reason: Instruction limit
% 22.25/4.27 % (1495372)Termination phase: Saturation
% 22.25/4.27 % (1495372)Time elapsed: 0.159 s
% 22.25/4.27 % (1495372)Peak memory usage: 89 MB
% 22.25/4.27 % (1495372)Instructions burned: 157 (million)
% 22.25/4.27 % (1495361)Refutation found. Thanks to Tanya!
% 22.25/4.27 % SZS status Unsatisfiable for theBenchmark
% 22.25/4.27 % SZS output start Proof for theBenchmark
% See solution above
% 23.06/4.56 % (1495361)------------------------------
% 23.06/4.56 % (1495361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.06/4.56 % (1495361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.06/4.57 % (1495361)CaDiCaL version: 2.1.3
% 23.06/4.57 % (1495361)Termination reason: Refutation
% 23.06/4.57 % (1495361)Time elapsed: 1.180 s
% 23.06/4.57 % (1495361)Peak memory usage: 132 MB
% 23.06/4.57 % (1495361)Instructions burned: 1440 (million)
% 23.06/4.57 % (1495361)------------------------------
% 23.06/4.57 % (1495361)------------------------------
% 23.06/4.57 % (1495323)Success in time 3.168 s
% 23.06/4.57 % Vampire exiting
%------------------------------------------------------------------------------