%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET338-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:40:47 PM UTC 2026
% Result : Unsatisfiable 11.73s 2.57s
% Output : Refutation 12.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 28
% Syntax : Number of formulae : 117 ( 33 unt; 2 def)
% Number of atoms : 229 ( 95 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 193 ( 81 ~; 110 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-3 aty)
% Number of variables : 167 ( 0 sgn 167 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',flip2) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
~ member(x,domain_of(z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_3_image_property1_1) ).
fof(f123,negated_conjecture,
image(z,singleton(x)) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_3_image_property1_2) ).
fof(f124,plain,
null_class != image(z,singleton(x)),
inference(reorient_equations,[],[f123]) ).
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(cross_product(X1,universal_class),X0),universal_class)))),
inference(definition_unfolding,[],[f43,f126,f29]) ).
fof(f137,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,
null_class != domain_of(domain_of(flip(cross_product(intersection(cross_product(unordered_pair(x,x),universal_class),z),universal_class)))),
inference(definition_unfolding,[],[f124,f127,f12]) ).
fof(f160,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,f137,f137,f137,f137]) ).
fof(f163,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = intersection(cross_product(unordered_pair(X0,X0),universal_class),X1)
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f32,f29,f12]) ).
fof(f164,plain,
! [X0,X1] :
( null_class != intersection(cross_product(unordered_pair(X1,X1),universal_class),X0)
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f29,f12]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(definition_unfolding,[],[f17,f137]) ).
fof(f170,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,f137]) ).
fof(f179,plain,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = intersection(cross_product(X1,X2),X0),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f200,plain,
null_class != domain_of(domain_of(flip(cross_product(intersection(z,cross_product(unordered_pair(x,x),universal_class)),universal_class)))),
inference(forward_demodulation,[],[f138,f179]) ).
fof(f215,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f222,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f224,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f229,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f241,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f8,f68]) ).
fof(f246,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f224,f3]) ).
fof(f252,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f254,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f252,f70]) ).
fof(f255,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f229,f3]) ).
fof(f261,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f264,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f254,f7]) ).
fof(f265,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f267,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(resolution,[],[f265,f261]) ).
fof(f270,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f164,f267]) ).
fof(f277,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f288,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f277,f68]) ).
fof(f296,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f277,f288]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f327,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f241]) ).
fof(f339,plain,
( null_class = intersection(cross_product(unordered_pair(x,x),universal_class),z)
| ~ member(x,universal_class) ),
inference(resolution,[],[f163,f122]) ).
fof(f341,plain,
( null_class = intersection(z,cross_product(unordered_pair(x,x),universal_class))
| ~ member(x,universal_class) ),
inference(forward_demodulation,[],[f339,f179]) ).
fof(f344,definition,
( spl0_1
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f346,plain,
( ~ member(x,universal_class)
| spl0_1 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f348,definition,
( spl0_2
<=> null_class = intersection(z,cross_product(unordered_pair(x,x),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f350,plain,
( null_class = intersection(z,cross_product(unordered_pair(x,x),universal_class))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f351,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f341,f348,f344]) ).
fof(f360,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f327]) ).
fof(f363,plain,
! [X0] :
( member(X0,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f68,f360]) ).
fof(f364,plain,
! [X0] :
( member(X0,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f383,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f300,f222]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f383]) ).
fof(f398,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f394,f2]) ).
fof(f411,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f413,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f411,f7]) ).
fof(f421,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f413,f252]) ).
fof(f422,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f421,f4]) ).
fof(f473,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,universal_class) ),
inference(superposition,[],[f22,f422]) ).
fof(f490,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(resolution,[],[f473,f364]) ).
fof(f537,plain,
( null_class = unordered_pair(x,x)
| spl0_1 ),
inference(resolution,[],[f490,f346]) ).
fof(f541,plain,
( null_class != domain_of(domain_of(flip(cross_product(intersection(z,cross_product(null_class,universal_class)),universal_class))))
| spl0_1 ),
inference(superposition,[],[f200,f537]) ).
fof(f986,plain,
! [X0,X1] :
( regular(cross_product(X0,X1)) = unordered_pair(unordered_pair(first(regular(cross_product(X0,X1))),first(regular(cross_product(X0,X1)))),unordered_pair(first(regular(cross_product(X0,X1))),unordered_pair(second(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))))
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f167,f68]) ).
fof(f987,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| regular(X0) = unordered_pair(unordered_pair(first(regular(X0)),first(regular(X0))),unordered_pair(first(regular(X0)),unordered_pair(second(regular(X0)),second(regular(X0)))))
| null_class = X0 ),
inference(resolution,[],[f167,f215]) ).
fof(f1003,plain,
! [X0] :
( regular(flip(X0)) = unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(second(regular(flip(X0))),second(regular(flip(X0))))))
| null_class = flip(X0) ),
inference(resolution,[],[f987,f36]) ).
fof(f1008,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| member(first(regular(flip(X0))),X1)
| null_class = flip(X0) ),
inference(superposition,[],[f170,f1003]) ).
fof(f1024,plain,
! [X2,X0,X1] :
( member(first(regular(flip(X0))),X1)
| null_class = flip(X0)
| ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0) ),
inference(resolution,[],[f1008,f215]) ).
fof(f1025,plain,
! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X1,X2))
| null_class = flip(X0)
| member(first(regular(flip(X0))),X1) ),
inference(duplicate_literal_removal,[],[f1024]) ).
fof(f1030,plain,
! [X2,X3,X0,X1] :
( ~ member(regular(cross_product(X0,X1)),cross_product(X2,X3))
| member(first(regular(cross_product(X0,X1))),X2)
| cross_product(X0,X1) = null_class ),
inference(superposition,[],[f170,f986]) ).
fof(f1046,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class
| cross_product(X0,X1) = null_class ),
inference(resolution,[],[f1030,f68]) ).
fof(f1049,plain,
! [X0,X1] :
( member(first(regular(cross_product(X0,X1))),X0)
| cross_product(X0,X1) = null_class ),
inference(duplicate_literal_removal,[],[f1046]) ).
fof(f1061,plain,
! [X0] : null_class = cross_product(null_class,X0),
inference(resolution,[],[f1049,f296]) ).
fof(f1066,plain,
( null_class != domain_of(domain_of(flip(cross_product(intersection(z,null_class),universal_class))))
| spl0_1 ),
inference(superposition,[],[f541,f1061]) ).
fof(f1082,plain,
( null_class != domain_of(domain_of(flip(cross_product(null_class,universal_class))))
| spl0_1 ),
inference(forward_demodulation,[],[f1066,f267]) ).
fof(f1084,plain,
( null_class != domain_of(domain_of(flip(null_class)))
| spl0_1 ),
inference(forward_demodulation,[],[f1082,f1061]) ).
fof(f1087,plain,
! [X0] :
( member(first(regular(flip(X0))),cross_product(universal_class,universal_class))
| null_class = flip(X0) ),
inference(resolution,[],[f1025,f36]) ).
fof(f1089,plain,
! [X0] :
( first(regular(flip(X0))) = unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0)))))))
| null_class = flip(X0) ),
inference(resolution,[],[f1087,f167]) ).
fof(f1095,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))))),unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0)))))))),unordered_pair(unordered_pair(unordered_pair(second(first(regular(flip(X0)))),second(first(regular(flip(X0))))),unordered_pair(second(first(regular(flip(X0)))),unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))))),unordered_pair(X1,X1))),X2)
| ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(X2))
| null_class = flip(X0) ),
inference(superposition,[],[f160,f1089]) ).
fof(f1251,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(regular(flip(X0))),first(regular(flip(X0)))),unordered_pair(first(regular(flip(X0))),unordered_pair(X1,X1))),flip(null_class))
| null_class = flip(X0) ),
inference(resolution,[],[f1095,f296]) ).
fof(f1259,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(null_class))
| null_class = flip(X0)
| null_class = flip(X0) ),
inference(superposition,[],[f1251,f1003]) ).
fof(f1260,plain,
! [X0] :
( ~ member(regular(flip(X0)),flip(null_class))
| null_class = flip(X0) ),
inference(duplicate_literal_removal,[],[f1259]) ).
fof(f1261,plain,
( null_class = flip(null_class)
| null_class = flip(null_class) ),
inference(resolution,[],[f1260,f68]) ).
fof(f1264,plain,
null_class = flip(null_class),
inference(duplicate_literal_removal,[],[f1261]) ).
fof(f1267,plain,
( null_class != domain_of(domain_of(null_class))
| spl0_1 ),
inference(superposition,[],[f1084,f1264]) ).
fof(f1271,plain,
( null_class != domain_of(null_class)
| spl0_1 ),
inference(forward_demodulation,[],[f1267,f288]) ).
fof(f1272,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1271,f288]) ).
fof(f1273,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1272]) ).
fof(f1276,plain,
( null_class != domain_of(domain_of(flip(cross_product(null_class,universal_class))))
| ~ spl0_2 ),
inference(superposition,[],[f200,f350]) ).
fof(f1311,plain,
( null_class != domain_of(domain_of(flip(null_class)))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1276,f1061]) ).
fof(f1312,plain,
( null_class != domain_of(domain_of(null_class))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1311,f1264]) ).
fof(f1313,plain,
( null_class != domain_of(null_class)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1312,f288]) ).
fof(f1314,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1313,f288]) ).
fof(f1315,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1314]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f351]) ).
cnf(s13,plain,
spl0_1,
inference(sat_conversion,[],[f1273]) ).
cnf(s16,plain,
~ spl0_2,
inference(sat_conversion,[],[f1315]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s1,s16,s13]) ).
fof(f1316,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET338-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 01:28:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.42/2.35 % (4063065)Input is clausal, will run a generic CNF schedule.
% 10.42/2.35 % (4063072)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=78484830:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.42/2.35 % (4063075)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1231256163:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.42/2.35 % (4063076)dis-21_1_sil=8000:lcm=predicate:random_seed=2624324538: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)
% 10.42/2.35 % (4063073)lrs+10_1_sil=8000:sp=occurrence:random_seed=3163633762:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.42/2.35 % (4063071)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1563204932:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.42/2.35 % (4063074)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3773320601:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.42/2.35 % (4063070)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=1600814521:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.42/2.35 % (4063073)Instruction limit reached!
% 10.42/2.35 % (4063073)------------------------------
% 10.42/2.35 % (4063073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.35 % (4063073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.35 % (4063073)CaDiCaL version: 2.1.3
% 10.42/2.35 % (4063073)Termination reason: Instruction limit
% 10.42/2.35 % (4063073)Termination phase: Saturation
% 10.42/2.35 % (4063073)Time elapsed: 0.038 s
% 10.42/2.35 % (4063073)Peak memory usage: 88 MB
% 10.42/2.35 % (4063073)Instructions burned: 107 (million)
% 10.42/2.35 % (4063076)Instruction limit reached!
% 10.42/2.35 % (4063076)------------------------------
% 10.42/2.35 % (4063076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.35 % (4063076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.35 % (4063076)CaDiCaL version: 2.1.3
% 10.42/2.35 % (4063076)Termination reason: Instruction limit
% 10.42/2.35 % (4063076)Termination phase: Saturation
% 10.42/2.35 % (4063076)Time elapsed: 0.066 s
% 10.42/2.35 % (4063076)Peak memory usage: 89 MB
% 10.42/2.35 % (4063076)Instructions burned: 117 (million)
% 10.42/2.35 % (4063074)Instruction limit reached!
% 10.42/2.35 % (4063074)------------------------------
% 10.42/2.35 % (4063074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.35 % (4063074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.35 % (4063074)CaDiCaL version: 2.1.3
% 10.42/2.35 % (4063074)Termination reason: Instruction limit
% 10.42/2.35 % (4063074)Termination phase: Saturation
% 10.42/2.35 % (4063074)Time elapsed: 0.069 s
% 10.42/2.35 % (4063074)Peak memory usage: 89 MB
% 10.42/2.35 % (4063074)Instructions burned: 114 (million)
% 10.42/2.35 % (4063075)Instruction limit reached!
% 10.42/2.35 % (4063075)------------------------------
% 10.42/2.35 % (4063075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.35 % (4063075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.35 % (4063075)CaDiCaL version: 2.1.3
% 10.42/2.35 % (4063075)Termination reason: Instruction limit
% 10.42/2.35 % (4063075)Termination phase: Saturation
% 10.42/2.35 % (4063075)Time elapsed: 0.141 s
% 10.42/2.35 % (4063075)Peak memory usage: 91 MB
% 10.42/2.35 % (4063075)Instructions burned: 181 (million)
% 10.42/2.35 % (4063084)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=1700727437:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.42/2.35 % (4063084)Refutation not found, incomplete strategy
% 10.42/2.35 % (4063084)------------------------------
% 10.42/2.35 % (4063084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.35 % (4063084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.35 % (4063084)CaDiCaL version: 2.1.3
% 10.42/2.35 % (4063084)Termination reason: Refutation not found, incomplete strategy
% 10.42/2.35 % (4063084)Time elapsed: 0.004 s
% 10.42/2.35 % (4063084)Peak memory usage: 88 MB
% 10.42/2.35 % (4063084)Instructions burned: 4 (million)
% 10.42/2.35 % (4063085)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=96921769:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.73/2.57 % (4063086)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2727011865:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.73/2.57 % (4063087)lrs+10_64_to=lpo:sil=8000:random_seed=2836041337:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.73/2.57 % (4063085)Instruction limit reached!
% 11.73/2.57 % (4063085)------------------------------
% 11.73/2.57 % (4063085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063085)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063085)Termination reason: Instruction limit
% 11.73/2.57 % (4063085)Termination phase: Saturation
% 11.73/2.57 % (4063085)Time elapsed: 0.106 s
% 11.73/2.57 % (4063085)Peak memory usage: 91 MB
% 11.73/2.57 % (4063085)Instructions burned: 189 (million)
% 11.73/2.57 % (4063086)Instruction limit reached!
% 11.73/2.57 % (4063086)------------------------------
% 11.73/2.57 % (4063086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063086)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063086)Termination reason: Instruction limit
% 11.73/2.57 % (4063086)Termination phase: Saturation
% 11.73/2.57 % (4063086)Time elapsed: 0.134 s
% 11.73/2.57 % (4063086)Peak memory usage: 89 MB
% 11.73/2.57 % (4063086)Instructions burned: 220 (million)
% 11.73/2.57 % (4063087)Instruction limit reached!
% 11.73/2.57 % (4063087)------------------------------
% 11.73/2.57 % (4063087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063087)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063087)Termination reason: Instruction limit
% 11.73/2.57 % (4063087)Termination phase: Saturation
% 11.73/2.57 % (4063087)Time elapsed: 0.079 s
% 11.73/2.57 % (4063087)Peak memory usage: 89 MB
% 11.73/2.57 % (4063087)Instructions burned: 127 (million)
% 11.73/2.57 % (4063092)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4046642753:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.73/2.57 % (4063084)------------------------------
% 11.73/2.57 % (4063084)------------------------------
% 11.73/2.57 % (4063093)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2022579172:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.73/2.57 % (4063094)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1273871916:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 11.73/2.57 % (4063092)Instruction limit reached!
% 11.73/2.57 % (4063092)------------------------------
% 11.73/2.57 % (4063092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063092)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063092)Termination reason: Instruction limit
% 11.73/2.57 % (4063092)Termination phase: Saturation
% 11.73/2.57 % (4063092)Time elapsed: 0.121 s
% 11.73/2.57 % (4063092)Peak memory usage: 89 MB
% 11.73/2.57 % (4063092)Instructions burned: 195 (million)
% 11.73/2.57 % (4063096)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=1032607226:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.73/2.57 % (4063093)Instruction limit reached!
% 11.73/2.57 % (4063093)------------------------------
% 11.73/2.57 % (4063093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063093)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063093)Termination reason: Instruction limit
% 11.73/2.57 % (4063093)Termination phase: Saturation
% 11.73/2.57 % (4063093)Time elapsed: 0.110 s
% 11.73/2.57 % (4063093)Peak memory usage: 91 MB
% 11.73/2.57 % (4063093)Instructions burned: 158 (million)
% 11.73/2.57 % (4063096)Instruction limit reached!
% 11.73/2.57 % (4063096)------------------------------
% 11.73/2.57 % (4063096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063096)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063096)Termination reason: Instruction limit
% 11.73/2.57 % (4063096)Termination phase: Saturation
% 11.73/2.57 % (4063096)Time elapsed: 0.050 s
% 11.73/2.57 % (4063096)Peak memory usage: 94 MB
% 11.73/2.57 % (4063096)Instructions burned: 108 (million)
% 11.73/2.57 % (4063099)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1564457794:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.73/2.57 % (4063099)Refutation not found, incomplete strategy
% 11.73/2.57 % (4063099)------------------------------
% 11.73/2.57 % (4063099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063099)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063099)Termination reason: Refutation not found, incomplete strategy
% 11.73/2.57 % (4063099)Time elapsed: 0.005 s
% 11.73/2.57 % (4063099)Peak memory usage: 88 MB
% 11.73/2.57 % (4063099)Instructions burned: 9 (million)
% 11.73/2.57 % (4063101)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1611317525:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.73/2.57 % (4063102)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3078318778:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.73/2.57 % (4063101)Instruction limit reached!
% 11.73/2.57 % (4063101)------------------------------
% 11.73/2.57 % (4063101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063101)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063101)Termination reason: Instruction limit
% 11.73/2.57 % (4063101)Termination phase: Saturation
% 11.73/2.57 % (4063101)Time elapsed: 0.166 s
% 11.73/2.57 % (4063101)Peak memory usage: 90 MB
% 11.73/2.57 % (4063101)Instructions burned: 242 (million)
% 11.73/2.57 % (4063099)------------------------------
% 11.73/2.57 % (4063099)------------------------------
% 11.73/2.57 % (4063106)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3762215397:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 11.73/2.57 % (4063107)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2416209829:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.73/2.57 % (4063106)Instruction limit reached!
% 11.73/2.57 % (4063106)------------------------------
% 11.73/2.57 % (4063106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063106)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063106)Termination reason: Instruction limit
% 11.73/2.57 % (4063106)Termination phase: Saturation
% 11.73/2.57 % (4063106)Time elapsed: 0.100 s
% 11.73/2.57 % (4063106)Peak memory usage: 90 MB
% 11.73/2.57 % (4063106)Instructions burned: 134 (million)
% 11.73/2.57 % (4063110)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4247801640:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 11.73/2.57 % (4063094)First to succeed.
% 11.73/2.57 % (4063094)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4063065"
% 11.73/2.57 % (4063107)Instruction limit reached!
% 11.73/2.57 % (4063107)------------------------------
% 11.73/2.57 % (4063107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063107)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063107)Termination reason: Instruction limit
% 11.73/2.57 % (4063107)Termination phase: Saturation
% 11.73/2.57 % (4063107)Time elapsed: 0.308 s
% 11.73/2.57 % (4063107)Peak memory usage: 94 MB
% 11.73/2.57 % (4063107)Instructions burned: 500 (million)
% 11.73/2.57 % (4063110)Instruction limit reached!
% 11.73/2.57 % (4063110)------------------------------
% 11.73/2.57 % (4063110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.57 % (4063110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.57 % (4063110)CaDiCaL version: 2.1.3
% 11.73/2.57 % (4063110)Termination reason: Instruction limit
% 11.73/2.57 % (4063110)Termination phase: Saturation
% 11.73/2.57 % (4063110)Time elapsed: 0.111 s
% 11.73/2.57 % (4063110)Peak memory usage: 89 MB
% 11.73/2.57 % (4063110)Instructions burned: 191 (million)
% 11.73/2.57 % (4063112)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3331514865:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 11.73/2.57 % (4063113)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3201258954:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 11.73/2.57 % (4063094)Refutation found. Thanks to Tanya!
% 11.73/2.57 % SZS status Unsatisfiable for theBenchmark
% 11.73/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 12.66/2.76 % (4063094)------------------------------
% 12.66/2.76 % (4063094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.76 % (4063094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.76 % (4063094)CaDiCaL version: 2.1.3
% 12.66/2.76 % (4063094)Termination reason: Refutation
% 12.66/2.76 % (4063094)Time elapsed: 0.824 s
% 12.66/2.76 % (4063094)Peak memory usage: 132 MB
% 12.66/2.76 % (4063094)Instructions burned: 1242 (million)
% 12.66/2.76 % (4063094)------------------------------
% 12.66/2.76 % (4063094)------------------------------
% 12.66/2.76 % (4063065)Success in time 1.714 s
% 12.66/2.76 % Vampire exiting
%------------------------------------------------------------------------------