%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET541-6 : 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 : n001.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 12:41:07 PM UTC 2026
% Result : Unsatisfiable 20.89s 4.03s
% Output : Refutation 22.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 37
% Syntax : Number of formulae : 156 ( 70 unt; 11 def)
% Number of atoms : 296 ( 121 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 257 ( 117 ~; 140 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-3 aty)
% Number of variables : 218 ( 218 !; 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(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(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(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(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(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(z,x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_application_property7_1) ).
fof(f123,plain,
null_class != apply(z,x),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ member(x,domain_of(z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_application_property7_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(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(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(z,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(z,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f197,plain,
intersection(z,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(f213,definition,
sF10 = domain_of(z),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f214,plain,
domain_of(z) = sF10,
inference(reorient_equations,[],[f213]) ).
fof(f215,plain,
~ member(x,sF10),
inference(definition_folding,[],[f124,f214]) ).
fof(f218,plain,
! [X0] :
( null_class = intersection(X0,cross_product(sF0,universal_class))
| ~ member(x,universal_class)
| member(x,domain_of(X0)) ),
inference(superposition,[],[f146,f193]) ).
fof(f220,plain,
! [X0] :
( null_class = intersection(X0,sF1)
| ~ member(x,universal_class)
| member(x,domain_of(X0)) ),
inference(forward_demodulation,[],[f218,f195]) ).
fof(f221,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f68]) ).
fof(f228,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f231,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f22,f68]) ).
fof(f240,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF3)
| member(X0,sF2) ),
inference(superposition,[],[f138,f199]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4] :
( 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))),X2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(X2))
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f149,f141]) ).
fof(f256,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(f257,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(f258,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(first(X0),X1) ),
inference(condensation,[],[f257]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| member(second(X0),X2) ),
inference(condensation,[],[f256]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f265,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(f308,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f193]) ).
fof(f310,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0 ),
inference(duplicate_literal_removal,[],[f308]) ).
fof(f333,plain,
( null_class = sF2
| ~ member(x,universal_class)
| member(x,domain_of(z)) ),
inference(superposition,[],[f197,f220]) ).
fof(f334,plain,
( member(x,sF10)
| null_class = sF2
| ~ member(x,universal_class) ),
inference(forward_demodulation,[],[f333,f214]) ).
fof(f336,plain,
( ~ member(x,universal_class)
| null_class = sF2 ),
inference(forward_subsumption_resolution,[],[f334,f215]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,universal_class) ),
inference(resolution,[],[f262,f4]) ).
fof(f346,plain,
! [X2,X0] :
( ~ member(X0,X2)
| member(X0,universal_class) ),
inference(condensation,[],[f338]) ).
fof(f347,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f346,f68]) ).
fof(f455,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f258,f68]) ).
fof(f457,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| member(first(regular(X0)),X1)
| null_class = X0 ),
inference(resolution,[],[f258,f228]) ).
fof(f460,plain,
! [X0] :
( member(first(X0),sF0)
| ~ member(X0,sF1) ),
inference(superposition,[],[f258,f195]) ).
fof(f471,plain,
! [X0,X1] :
( member(second(regular(cross_product(X0,X1))),X1)
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f259,f68]) ).
fof(f514,plain,
! [X0] :
( first(X0) = x
| ~ member(X0,sF1) ),
inference(resolution,[],[f460,f310]) ).
fof(f515,plain,
! [X0] :
( member(first(X0),universal_class)
| ~ member(X0,sF1) ),
inference(resolution,[],[f460,f346]) ).
fof(f558,plain,
! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| null_class = flip(X0) ),
inference(resolution,[],[f36,f457]) ).
fof(f678,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f24,f68]) ).
fof(f685,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f678,f347]) ).
fof(f689,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f685]) ).
fof(f756,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f689]) ).
fof(f757,plain,
! [X0] : ~ member(X0,null_class),
inference(forward_subsumption_resolution,[],[f756,f346]) ).
fof(f814,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(resolution,[],[f455,f757]) ).
fof(f824,plain,
( member(first(regular(sF3)),sF2)
| null_class = cross_product(sF2,universal_class) ),
inference(superposition,[],[f455,f199]) ).
fof(f835,plain,
( member(first(regular(sF3)),sF2)
| null_class = sF3 ),
inference(forward_demodulation,[],[f824,f199]) ).
fof(f842,plain,
! [X1] : intersection(null_class,X1) = intersection(X1,null_class),
inference(superposition,[],[f144,f814]) ).
fof(f1050,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f221,f757]) ).
fof(f1084,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(superposition,[],[f842,f1050]) ).
fof(f1090,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f145,f1050]) ).
fof(f1093,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f1090]) ).
fof(f1168,plain,
! [X2,X0,X1] :
( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),null_class)
| ~ member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2)) ),
inference(resolution,[],[f231,f265]) ).
fof(f1206,plain,
! [X2,X0,X1] :
( ~ member(regular(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))),X2)
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,universal_class)
| member(X1,domain_of(X2)) ),
inference(forward_subsumption_resolution,[],[f1168,f757]) ).
fof(f1670,plain,
( member(second(regular(sF7)),sF6)
| null_class = cross_product(universal_class,sF6) ),
inference(superposition,[],[f471,f207]) ).
fof(f1674,plain,
( member(second(regular(sF7)),sF6)
| null_class = sF7 ),
inference(forward_demodulation,[],[f1670,f207]) ).
fof(f1967,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),flip(sF3))
| ~ member(X0,cross_product(X2,X3)) ),
inference(resolution,[],[f240,f255]) ).
fof(f1976,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),sF2)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X0,cross_product(X2,X3)) ),
inference(forward_demodulation,[],[f1967,f201]) ).
fof(f2558,plain,
! [X0] :
( member(x,universal_class)
| ~ member(X0,sF1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f515,f514]) ).
fof(f2559,plain,
! [X0] :
( ~ member(X0,sF1)
| member(x,universal_class) ),
inference(duplicate_literal_removal,[],[f2558]) ).
fof(f3225,plain,
! [X2,X0,X1] :
( null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,universal_class)
| member(X1,domain_of(X2))
| ~ subclass(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),X2)
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(resolution,[],[f1206,f228]) ).
fof(f3250,plain,
! [X2,X0,X1] :
( ~ subclass(intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)),X2)
| ~ member(X1,universal_class)
| member(X1,domain_of(X2))
| null_class = intersection(X0,cross_product(unordered_pair(X1,X1),universal_class)) ),
inference(duplicate_literal_removal,[],[f3225]) ).
fof(f3265,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,cross_product(sF0,universal_class)),X1)
| ~ member(x,universal_class)
| member(x,domain_of(X1))
| null_class = intersection(X0,cross_product(unordered_pair(x,x),universal_class)) ),
inference(superposition,[],[f3250,f193]) ).
fof(f3275,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,sF1),X1)
| ~ member(x,universal_class)
| member(x,domain_of(X1))
| null_class = intersection(X0,cross_product(unordered_pair(x,x),universal_class)) ),
inference(forward_demodulation,[],[f3265,f195]) ).
fof(f3277,plain,
! [X0,X1] :
( null_class = intersection(X0,cross_product(sF0,universal_class))
| ~ subclass(intersection(X0,sF1),X1)
| ~ member(x,universal_class)
| member(x,domain_of(X1)) ),
inference(forward_demodulation,[],[f3275,f193]) ).
fof(f3279,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,sF1),X1)
| null_class = intersection(X0,sF1)
| ~ member(x,universal_class)
| member(x,domain_of(X1)) ),
inference(forward_demodulation,[],[f3277,f195]) ).
fof(f3721,plain,
! [X0] :
( member(x,universal_class)
| null_class = intersection(X0,sF1) ),
inference(resolution,[],[f2559,f231]) ).
fof(f5131,plain,
! [X0] :
( ~ subclass(sF2,X0)
| null_class = intersection(z,sF1)
| ~ member(x,universal_class)
| member(x,domain_of(X0)) ),
inference(superposition,[],[f3279,f197]) ).
fof(f5140,plain,
! [X0] :
( ~ subclass(sF2,X0)
| null_class = intersection(z,sF1)
| member(x,domain_of(X0)) ),
inference(forward_subsumption_resolution,[],[f5131,f3721]) ).
fof(f5148,plain,
! [X0] :
( member(x,domain_of(X0))
| ~ subclass(sF2,X0)
| null_class = sF2 ),
inference(forward_demodulation,[],[f5140,f197]) ).
fof(f5155,plain,
! [X0] :
( ~ subclass(sF2,X0)
| null_class = sF2
| member(x,universal_class) ),
inference(resolution,[],[f5148,f346]) ).
fof(f5164,plain,
! [X0] :
( ~ subclass(sF2,X0)
| null_class = sF2 ),
inference(forward_subsumption_resolution,[],[f5155,f336]) ).
fof(f5165,plain,
null_class = sF2,
inference(resolution,[],[f5164,f4]) ).
fof(f5173,plain,
( member(first(regular(sF3)),null_class)
| null_class = sF3 ),
inference(superposition,[],[f835,f5165]) ).
fof(f5176,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(second(X0),second(X0)),unordered_pair(second(X0),unordered_pair(first(X0),first(X0)))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X0,cross_product(X2,X3)) ),
inference(superposition,[],[f1976,f5165]) ).
fof(f5180,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,[],[f5176,f757]) ).
fof(f5181,plain,
null_class = sF3,
inference(forward_subsumption_resolution,[],[f5173,f757]) ).
fof(f5185,plain,
sF4 = flip(null_class),
inference(superposition,[],[f201,f5181]) ).
fof(f5250,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(first(X0),cross_product(X1,X2))
| ~ member(X0,sF4)
| ~ member(X0,cross_product(X3,X4)) ),
inference(superposition,[],[f5180,f141]) ).
fof(f5256,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| ~ member(regular(flip(X0)),sF4)
| null_class = flip(X0) ),
inference(resolution,[],[f5250,f558]) ).
fof(f5277,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,[],[f5256,f228]) ).
fof(f5301,plain,
! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0)
| ~ member(regular(flip(X0)),sF4) ),
inference(duplicate_literal_removal,[],[f5277]) ).
fof(f5317,plain,
! [X0] :
( ~ member(regular(flip(X0)),sF4)
| null_class = flip(X0) ),
inference(resolution,[],[f5301,f36]) ).
fof(f5354,plain,
( ~ member(regular(sF4),sF4)
| null_class = flip(null_class) ),
inference(superposition,[],[f5317,f5185]) ).
fof(f5367,plain,
( null_class = sF4
| ~ member(regular(sF4),sF4) ),
inference(forward_demodulation,[],[f5354,f5185]) ).
fof(f5371,plain,
null_class = sF4,
inference(forward_subsumption_resolution,[],[f5367,f68]) ).
fof(f5373,plain,
sF5 = domain_of(null_class),
inference(superposition,[],[f203,f5371]) ).
fof(f10400,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f1093,f68]) ).
fof(f10401,plain,
! [X0] : null_class = intersection(domain_of(null_class),X0),
inference(resolution,[],[f1093,f221]) ).
fof(f10421,plain,
! [X0] : null_class = intersection(sF5,X0),
inference(forward_demodulation,[],[f10401,f5373]) ).
fof(f10514,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(sF5)) ),
inference(superposition,[],[f145,f10421]) ).
fof(f10525,plain,
! [X0] : ~ member(X0,domain_of(sF5)),
inference(trivial_inequality_removal,[],[f10514]) ).
fof(f10533,plain,
! [X0] : ~ member(X0,sF6),
inference(forward_demodulation,[],[f10525,f205]) ).
fof(f10535,plain,
null_class = sF7,
inference(resolution,[],[f10533,f1674]) ).
fof(f10600,plain,
sF8 = intersection(element_relation,null_class),
inference(superposition,[],[f209,f10535]) ).
fof(f10612,plain,
null_class = sF8,
inference(forward_demodulation,[],[f10600,f1084]) ).
fof(f10613,plain,
sF9 = domain_of(null_class),
inference(superposition,[],[f211,f10612]) ).
fof(f10632,plain,
sF5 = sF9,
inference(forward_demodulation,[],[f10613,f5373]) ).
fof(f10635,plain,
null_class != sF5,
inference(superposition,[],[f212,f10632]) ).
fof(f10701,plain,
null_class = sF5,
inference(superposition,[],[f5373,f10400]) ).
fof(f10731,plain,
$false,
inference(forward_subsumption_resolution,[],[f10701,f10635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET541-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n001.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 02:13:02 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.35/2.34 % (4146517)Input is clausal, will run a generic CNF schedule.
% 10.35/2.34 % (4146525)lrs+10_1_sil=8000:sp=occurrence:random_seed=3154283489:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.35/2.34 % (4146525)Instruction limit reached!
% 10.35/2.34 % (4146525)------------------------------
% 10.35/2.34 % (4146525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.35/2.34 % (4146525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.35/2.34 % (4146525)CaDiCaL version: 2.1.3
% 10.35/2.34 % (4146525)Termination reason: Instruction limit
% 10.35/2.34 % (4146525)Termination phase: Saturation
% 10.35/2.34 % (4146525)Time elapsed: 0.039 s
% 10.35/2.34 % (4146525)Peak memory usage: 89 MB
% 10.35/2.34 % (4146525)Instructions burned: 107 (million)
% 10.35/2.34 % (4146524)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4079067418:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.35/2.34 % (4146522)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=2639088884:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.35/2.34 % (4146523)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2080874851:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.35/2.34 % (4146528)dis-21_1_sil=8000:lcm=predicate:random_seed=3076244267:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.35/2.34 % (4146526)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2135536123:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.35/2.34 % (4146527)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3342857437:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.35/2.34 % (4146528)Instruction limit reached!
% 10.35/2.34 % (4146528)------------------------------
% 10.35/2.34 % (4146528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.35/2.34 % (4146528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.35/2.34 % (4146528)CaDiCaL version: 2.1.3
% 10.35/2.34 % (4146528)Termination reason: Instruction limit
% 10.35/2.34 % (4146528)Termination phase: Saturation
% 10.35/2.34 % (4146528)Time elapsed: 0.066 s
% 10.35/2.34 % (4146528)Peak memory usage: 89 MB
% 10.35/2.34 % (4146528)Instructions burned: 118 (million)
% 10.35/2.34 % (4146526)Instruction limit reached!
% 10.35/2.34 % (4146526)------------------------------
% 10.35/2.34 % (4146526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.35/2.34 % (4146526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.35/2.34 % (4146526)CaDiCaL version: 2.1.3
% 10.35/2.34 % (4146526)Termination reason: Instruction limit
% 10.35/2.34 % (4146526)Termination phase: Saturation
% 10.35/2.34 % (4146526)Time elapsed: 0.068 s
% 10.35/2.34 % (4146526)Peak memory usage: 89 MB
% 10.35/2.34 % (4146526)Instructions burned: 115 (million)
% 10.35/2.34 % (4146533)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=502247967:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.35/2.34 % (4146533)Refutation not found, incomplete strategy
% 10.35/2.34 % (4146533)------------------------------
% 10.35/2.34 % (4146533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.35/2.34 % (4146533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.35/2.34 % (4146533)CaDiCaL version: 2.1.3
% 10.35/2.34 % (4146533)Termination reason: Refutation not found, incomplete strategy
% 10.35/2.34 % (4146533)Time elapsed: 0.002 s
% 10.35/2.34 % (4146533)Peak memory usage: 88 MB
% 10.35/2.34 % (4146533)Instructions burned: 4 (million)
% 10.35/2.34 % (4146527)Instruction limit reached!
% 10.35/2.34 % (4146527)------------------------------
% 10.35/2.34 % (4146527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.35/2.34 % (4146527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.35/2.34 % (4146527)CaDiCaL version: 2.1.3
% 10.35/2.34 % (4146527)Termination reason: Instruction limit
% 10.35/2.34 % (4146527)Termination phase: Saturation
% 10.35/2.34 % (4146527)Time elapsed: 0.135 s
% 10.35/2.34 % (4146527)Peak memory usage: 90 MB
% 10.35/2.34 % (4146527)Instructions burned: 181 (million)
% 10.35/2.34 % (4146538)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3007305898:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 19.79/3.73 % (4146537)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3519886711:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 19.79/3.73 % (4146533)------------------------------
% 19.79/3.73 % (4146533)------------------------------
% 19.79/3.73 % (4146540)lrs+10_64_to=lpo:sil=8000:random_seed=1263485356:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 19.79/3.73 % (4146537)Instruction limit reached!
% 19.79/3.73 % (4146537)------------------------------
% 19.79/3.73 % (4146537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.73 % (4146537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.73 % (4146537)CaDiCaL version: 2.1.3
% 19.79/3.73 % (4146537)Termination reason: Instruction limit
% 19.79/3.73 % (4146537)Termination phase: Saturation
% 19.79/3.73 % (4146537)Time elapsed: 0.100 s
% 19.79/3.73 % (4146537)Peak memory usage: 90 MB
% 19.79/3.73 % (4146537)Instructions burned: 190 (million)
% 19.79/3.73 % (4146538)Instruction limit reached!
% 19.79/3.73 % (4146538)------------------------------
% 19.79/3.73 % (4146538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.73 % (4146538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.73 % (4146538)CaDiCaL version: 2.1.3
% 19.79/3.73 % (4146538)Termination reason: Instruction limit
% 19.79/3.73 % (4146538)Termination phase: Saturation
% 19.79/3.73 % (4146538)Time elapsed: 0.136 s
% 19.79/3.73 % (4146538)Peak memory usage: 89 MB
% 19.79/3.73 % (4146538)Instructions burned: 219 (million)
% 19.79/3.73 % (4146543)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1725895423:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 19.79/3.73 % (4146540)Instruction limit reached!
% 19.79/3.73 % (4146540)------------------------------
% 19.79/3.73 % (4146540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.73 % (4146540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.73 % (4146540)CaDiCaL version: 2.1.3
% 19.79/3.73 % (4146540)Termination reason: Instruction limit
% 19.79/3.73 % (4146540)Termination phase: Saturation
% 19.79/3.73 % (4146540)Time elapsed: 0.082 s
% 19.79/3.73 % (4146540)Peak memory usage: 89 MB
% 19.79/3.73 % (4146540)Instructions burned: 127 (million)
% 19.79/3.73 % (4146543)Instruction limit reached!
% 19.79/3.73 % (4146543)------------------------------
% 19.79/3.73 % (4146543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.73 % (4146543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.73 % (4146543)CaDiCaL version: 2.1.3
% 19.79/3.73 % (4146543)Termination reason: Instruction limit
% 19.79/3.73 % (4146543)Termination phase: Saturation
% 19.79/3.73 % (4146543)Time elapsed: 0.067 s
% 19.79/3.73 % (4146543)Peak memory usage: 89 MB
% 19.79/3.73 % (4146543)Instructions burned: 196 (million)
% 19.79/3.73 % (4146545)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=884778169:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 19.79/3.73 % (4146546)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=358071840:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 19.79/3.73 % (4146548)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=23519686:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 19.79/3.73 % (4146549)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2281060493:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 19.79/3.73 % (4146549)Refutation not found, incomplete strategy
% 19.79/3.73 % (4146549)------------------------------
% 19.79/3.73 % (4146549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.79/3.73 % (4146549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.79/3.73 % (4146549)CaDiCaL version: 2.1.3
% 19.79/3.73 % (4146549)Termination reason: Refutation not found, incomplete strategy
% 19.79/3.73 % (4146549)Time elapsed: 0.003 s
% 19.79/3.73 % (4146549)Peak memory usage: 88 MB
% 19.79/3.73 % (4146549)Instructions burned: 9 (million)
% 19.79/3.73 % (4146545)Instruction limit reached!
% 19.79/3.73 % (4146545)------------------------------
% 20.89/4.03 % (4146545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146545)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146545)Termination reason: Instruction limit
% 20.89/4.03 % (4146545)Termination phase: Saturation
% 20.89/4.03 % (4146545)Time elapsed: 0.110 s
% 20.89/4.03 % (4146545)Peak memory usage: 91 MB
% 20.89/4.03 % (4146545)Instructions burned: 157 (million)
% 20.89/4.03 % (4146548)Instruction limit reached!
% 20.89/4.03 % (4146548)------------------------------
% 20.89/4.03 % (4146548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146548)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146548)Termination reason: Instruction limit
% 20.89/4.03 % (4146548)Termination phase: Saturation
% 20.89/4.03 % (4146548)Time elapsed: 0.067 s
% 20.89/4.03 % (4146548)Peak memory usage: 90 MB
% 20.89/4.03 % (4146548)Instructions burned: 107 (million)
% 20.89/4.03 % (4146549)------------------------------
% 20.89/4.03 % (4146549)------------------------------
% 20.89/4.03 % (4146554)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=449105803:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 20.89/4.03 % (4146555)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1108901201:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 20.89/4.03 % (4146556)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2653738003:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 20.89/4.03 % (4146556)Instruction limit reached!
% 20.89/4.03 % (4146556)------------------------------
% 20.89/4.03 % (4146556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146556)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146556)Termination reason: Instruction limit
% 20.89/4.03 % (4146556)Termination phase: Saturation
% 20.89/4.03 % (4146556)Time elapsed: 0.045 s
% 20.89/4.03 % (4146556)Peak memory usage: 90 MB
% 20.89/4.03 % (4146556)Instructions burned: 134 (million)
% 20.89/4.03 % (4146554)Instruction limit reached!
% 20.89/4.03 % (4146554)------------------------------
% 20.89/4.03 % (4146554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146554)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146554)Termination reason: Instruction limit
% 20.89/4.03 % (4146554)Termination phase: Saturation
% 20.89/4.03 % (4146554)Time elapsed: 0.162 s
% 20.89/4.03 % (4146554)Peak memory usage: 90 MB
% 20.89/4.03 % (4146554)Instructions burned: 242 (million)
% 20.89/4.03 % (4146560)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1396994285:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 20.89/4.03 % (4146561)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3845948637:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 20.89/4.03 % (4146561)Instruction limit reached!
% 20.89/4.03 % (4146561)------------------------------
% 20.89/4.03 % (4146561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146561)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146561)Termination reason: Instruction limit
% 20.89/4.03 % (4146561)Termination phase: Saturation
% 20.89/4.03 % (4146561)Time elapsed: 0.107 s
% 20.89/4.03 % (4146561)Peak memory usage: 89 MB
% 20.89/4.03 % (4146561)Instructions burned: 191 (million)
% 20.89/4.03 % (4146560)Instruction limit reached!
% 20.89/4.03 % (4146560)------------------------------
% 20.89/4.03 % (4146560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146560)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146560)Termination reason: Instruction limit
% 20.89/4.03 % (4146560)Termination phase: Saturation
% 20.89/4.03 % (4146560)Time elapsed: 0.163 s
% 20.89/4.03 % (4146560)Peak memory usage: 93 MB
% 20.89/4.03 % (4146560)Instructions burned: 502 (million)
% 20.89/4.03 % (4146565)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=395419389:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 20.89/4.03 % (4146564)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3937431140:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 20.89/4.03 % (4146565)Instruction limit reached!
% 20.89/4.03 % (4146565)------------------------------
% 20.89/4.03 % (4146565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146565)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146565)Termination reason: Instruction limit
% 20.89/4.03 % (4146565)Termination phase: Saturation
% 20.89/4.03 % (4146565)Time elapsed: 0.051 s
% 20.89/4.03 % (4146565)Peak memory usage: 89 MB
% 20.89/4.03 % (4146565)Instructions burned: 159 (million)
% 20.89/4.03 % (4146568)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=583085510:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 20.89/4.03 % (4146564)Instruction limit reached!
% 20.89/4.03 % (4146564)------------------------------
% 20.89/4.03 % (4146564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146564)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146564)Termination reason: Instruction limit
% 20.89/4.03 % (4146564)Termination phase: Saturation
% 20.89/4.03 % (4146564)Time elapsed: 0.171 s
% 20.89/4.03 % (4146564)Peak memory usage: 91 MB
% 20.89/4.03 % (4146564)Instructions burned: 265 (million)
% 20.89/4.03 % (4146570)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3177491898:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 20.89/4.03 % (4146570)Refutation not found, incomplete strategy
% 20.89/4.03 % (4146570)------------------------------
% 20.89/4.03 % (4146570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146570)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146570)Termination reason: Refutation not found, incomplete strategy
% 20.89/4.03 % (4146570)Time elapsed: 0.001 s
% 20.89/4.03 % (4146570)Peak memory usage: 87 MB
% 20.89/4.03 % (4146570)------------------------------
% 20.89/4.03 % (4146570)------------------------------
% 20.89/4.03 % (4146572)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3853302906:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 20.89/4.03 % (4146572)Instruction limit reached!
% 20.89/4.03 % (4146572)------------------------------
% 20.89/4.03 % (4146572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146572)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146572)Termination reason: Instruction limit
% 20.89/4.03 % (4146572)Termination phase: Saturation
% 20.89/4.03 % (4146572)Time elapsed: 0.091 s
% 20.89/4.03 % (4146572)Peak memory usage: 90 MB
% 20.89/4.03 % (4146572)Instructions burned: 180 (million)
% 20.89/4.03 % (4146574)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1767301174:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2976 on theBenchmark for (2976ds/10307Mi)
% 20.89/4.03 % (4146568)Instruction limit reached!
% 20.89/4.03 % (4146568)------------------------------
% 20.89/4.03 % (4146568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146568)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146568)Termination reason: Instruction limit
% 20.89/4.03 % (4146568)Termination phase: Saturation
% 20.89/4.03 % (4146568)Time elapsed: 1.057 s
% 20.89/4.03 % (4146568)Peak memory usage: 149 MB
% 20.89/4.03 % (4146568)Instructions burned: 3258 (million)
% 20.89/4.03 % (4146576)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3009281475:i=412:gtgl=4:gtg=exists_all_2972 on theBenchmark for (2972ds/412Mi)
% 20.89/4.03 % (4146546)Instruction limit reached!
% 20.89/4.03 % (4146546)------------------------------
% 20.89/4.03 % (4146546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146546)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146546)Termination reason: Instruction limit
% 20.89/4.03 % (4146546)Termination phase: Saturation
% 20.89/4.03 % (4146546)Time elapsed: 2.171 s
% 20.89/4.03 % (4146546)Peak memory usage: 149 MB
% 20.89/4.03 % (4146546)Instructions burned: 3395 (million)
% 20.89/4.03 % (4146555)First to succeed.
% 20.89/4.03 % (4146555)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4146517"
% 20.89/4.03 % (4146576)Instruction limit reached!
% 20.89/4.03 % (4146576)------------------------------
% 20.89/4.03 % (4146576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146576)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146576)Termination reason: Instruction limit
% 20.89/4.03 % (4146576)Termination phase: Saturation
% 20.89/4.03 % (4146576)Time elapsed: 0.099 s
% 20.89/4.03 % (4146576)Peak memory usage: 90 MB
% 20.89/4.03 % (4146576)Instructions burned: 416 (million)
% 20.89/4.03 % (4146578)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1815928618:s2pl=no:i=8478:s2at=4:nm=6_2971 on theBenchmark for (2971ds/8478Mi)
% 20.89/4.03 % (4146579)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=724157393:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2970 on theBenchmark for (2970ds/303Mi)
% 20.89/4.03 % (4146579)Refutation not found, incomplete strategy
% 20.89/4.03 % (4146579)------------------------------
% 20.89/4.03 % (4146579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.89/4.03 % (4146579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.89/4.03 % (4146579)CaDiCaL version: 2.1.3
% 20.89/4.03 % (4146579)Termination reason: Refutation not found, incomplete strategy
% 20.89/4.03 % (4146579)Time elapsed: 0.001 s
% 20.89/4.03 % (4146579)Peak memory usage: 88 MB
% 20.89/4.03 % (4146579)Instructions burned: 1 (million)
% 20.89/4.03 % (4146555)Refutation found. Thanks to Tanya!
% 20.89/4.03 % SZS status Unsatisfiable for theBenchmark
% 20.89/4.03 % SZS output start Proof for theBenchmark
% See solution above
% 22.90/4.22 % (4146555)------------------------------
% 22.90/4.22 % (4146555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.90/4.22 % (4146555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.90/4.22 % (4146555)CaDiCaL version: 2.1.3
% 22.90/4.22 % (4146555)Termination reason: Refutation
% 22.90/4.22 % (4146555)Time elapsed: 1.926 s
% 22.90/4.22 % (4146555)Peak memory usage: 144 MB
% 22.90/4.22 % (4146555)Instructions burned: 2964 (million)
% 22.90/4.22 % (4146555)------------------------------
% 22.90/4.22 % (4146555)------------------------------
% 22.90/4.22 % (4146517)Success in time 3.149 s
% 22.90/4.22 % Vampire exiting
%------------------------------------------------------------------------------