%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET323-6 : 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 : n014.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 12:40:46 PM UTC 2026
% Result : Unsatisfiable 11.33s 2.28s
% Output : Refutation 12.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 47
% Syntax : Number of formulae : 248 ( 59 unt; 18 def)
% Number of atoms : 560 ( 122 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 569 ( 257 ~; 299 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-3 aty)
% Number of variables : 255 ( 0 sgn 255 !; 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(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
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(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/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(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(f38,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),X3)
| ~ member(ordered_pair(ordered_pair(X1,X0),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(ordered_pair(ordered_pair(X1,X0),X2),flip(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip3) ).
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(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,
range_of(x) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_range_property7_1) ).
fof(f123,plain,
null_class = range_of(x),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_range_property7_2) ).
fof(f125,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_range_property7_3) ).
fof(f126,plain,
null_class != x,
inference(reorient_equations,[],[f125]) ).
fof(f128,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f131,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(f140,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,f131]) ).
fof(f141,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,f131]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f131]) ).
fof(f143,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,f131]) ).
fof(f147,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(f148,plain,
! [X0,X1] :
( member(X0,domain_of(X1))
| null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f151,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,f131,f131,f131,f131]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(definition_unfolding,[],[f38,f131,f131,f131,f131,f131,f131]) ).
fof(f189,plain,
null_class = domain_of(domain_of(flip(cross_product(x,universal_class)))),
inference(definition_unfolding,[],[f123,f128]) ).
fof(f191,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f194,definition,
sF0 = cross_product(x,universal_class),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f195,plain,
cross_product(x,universal_class) = sF0,
inference(reorient_equations,[],[f194]) ).
fof(f196,definition,
sF1 = flip(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f197,plain,
flip(sF0) = sF1,
inference(reorient_equations,[],[f196]) ).
fof(f198,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f199,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f198]) ).
fof(f200,definition,
sF3 = domain_of(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f201,plain,
domain_of(sF2) = sF3,
inference(reorient_equations,[],[f200]) ).
fof(f202,plain,
null_class = sF3,
inference(definition_folding,[],[f189,f201,f199,f197,f195]) ).
fof(f203,definition,
sF4 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f204,plain,
cross_product(universal_class,universal_class) = sF4,
inference(reorient_equations,[],[f203]) ).
fof(f205,plain,
subclass(x,sF4),
inference(definition_folding,[],[f124,f204]) ).
fof(f206,plain,
null_class = domain_of(sF2),
inference(forward_demodulation,[],[f201,f202]) ).
fof(f217,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f220,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f68,f1]) ).
fof(f228,plain,
! [X0] :
( ~ member(X0,sF4)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f143,f204]) ).
fof(f230,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X0,universal_class) ),
inference(superposition,[],[f140,f204]) ).
fof(f232,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X1,universal_class) ),
inference(superposition,[],[f141,f204]) ).
fof(f233,plain,
! [X0] :
( ~ subclass(universal_class,X0)
| universal_class = X0 ),
inference(resolution,[],[f4,f7]) ).
fof(f284,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,universal_class)
| ~ member(X0,x) ),
inference(superposition,[],[f142,f195]) ).
fof(f285,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f142,f204]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ subclass(X0,cross_product(X1,X2))
| null_class = X0
| 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))))) ),
inference(resolution,[],[f220,f143]) ).
fof(f327,plain,
! [X0] :
( ~ member(X0,universal_class)
| null_class = intersection(sF2,cross_product(unordered_pair(X0,X0),universal_class))
| member(X0,null_class) ),
inference(superposition,[],[f148,f206]) ).
fof(f328,plain,
! [X0] :
( ~ member(X0,universal_class)
| null_class = intersection(sF1,cross_product(unordered_pair(X0,X0),universal_class))
| member(X0,sF2) ),
inference(superposition,[],[f148,f199]) ).
fof(f334,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f338,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f427,definition,
( spl5_12
<=> universal_class = null_class ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f428,plain,
( universal_class != null_class
| spl5_12 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f429,plain,
( universal_class = null_class
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f443,plain,
! [X0,X1] :
( member(not_subclass_element(null_class,X0),X1)
| null_class = X1
| subclass(null_class,X0) ),
inference(resolution,[],[f338,f2]) ).
fof(f506,plain,
! [X0] : subclass(flip(X0),cross_product(sF4,universal_class)),
inference(superposition,[],[f36,f204]) ).
fof(f544,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,[],[f300,f36]) ).
fof(f629,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| member(first(regular(flip(X0))),X1)
| null_class = flip(X0) ),
inference(superposition,[],[f140,f544]) ).
fof(f630,plain,
! [X2,X0,X1] :
( ~ member(regular(flip(X0)),cross_product(X1,X2))
| member(second(regular(flip(X0))),X2)
| null_class = flip(X0) ),
inference(superposition,[],[f141,f544]) ).
fof(f682,plain,
! [X0] :
( null_class = X0
| subclass(null_class,X0)
| subclass(null_class,X0) ),
inference(resolution,[],[f443,f3]) ).
fof(f693,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f682]) ).
fof(f698,plain,
( ! [X0] :
( universal_class = X0
| subclass(null_class,X0) )
| ~ spl5_12 ),
inference(forward_demodulation,[],[f693,f429]) ).
fof(f942,plain,
( ! [X0] :
( subclass(universal_class,X0)
| universal_class = X0 )
| ~ spl5_12 ),
inference(forward_demodulation,[],[f698,f429]) ).
fof(f947,plain,
( ! [X0] : universal_class = X0
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f942,f233]) ).
fof(f1089,plain,
( universal_class != null_class
| ~ spl5_12 ),
inference(superposition,[],[f126,f947]) ).
fof(f1101,plain,
( $false
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f1089,f947]) ).
fof(f1102,plain,
~ spl5_12,
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1174,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f693,f7]) ).
fof(f1176,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f1174]) ).
fof(f1198,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,[],[f629,f220]) ).
fof(f1202,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,[],[f1198]) ).
fof(f1204,definition,
( spl5_27
<=> null_class = sF1 ),
introduced(definition,[new_symbols(definition,[spl5_27])],[avatar_definition]) ).
fof(f1205,plain,
( null_class != sF1
| spl5_27 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1206,plain,
( null_class = sF1
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1221,plain,
! [X2,X0,X1] :
( member(second(regular(flip(X0))),X1)
| null_class = flip(X0)
| ~ subclass(flip(X0),cross_product(X2,X1))
| null_class = flip(X0) ),
inference(resolution,[],[f630,f220]) ).
fof(f1225,plain,
! [X2,X0,X1] :
( ~ subclass(flip(X0),cross_product(X2,X1))
| null_class = flip(X0)
| member(second(regular(flip(X0))),X1) ),
inference(duplicate_literal_removal,[],[f1221]) ).
fof(f1228,plain,
! [X0] :
( member(first(regular(flip(X0))),sF4)
| null_class = flip(X0) ),
inference(resolution,[],[f1202,f506]) ).
fof(f1241,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f1242,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(f1246,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1241,f4]) ).
fof(f1398,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))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f152,f142]) ).
fof(f1406,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))),X3)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),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))),flip(X3))
| ~ member(X2,universal_class) ),
inference(forward_demodulation,[],[f1398,f204]) ).
fof(f1414,plain,
! [X2,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(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(sF0))
| ~ member(X2,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(resolution,[],[f1406,f284]) ).
fof(f1419,plain,
! [X2,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(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(sF0))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(duplicate_literal_removal,[],[f1414]) ).
fof(f1423,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))),sF1)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x) ),
inference(forward_demodulation,[],[f1419,f197]) ).
fof(f1431,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),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))),flip(sF1))
| ~ member(X2,universal_class) ),
inference(resolution,[],[f1423,f1406]) ).
fof(f1434,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(sF1))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),x)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF4)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4) ),
inference(duplicate_literal_removal,[],[f1431]) ).
fof(f1567,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f334,f3]) ).
fof(f1582,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f1567]) ).
fof(f1638,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f1582,f1176]) ).
fof(f1830,definition,
( spl5_39
<=> ! [X0] : ~ member(X0,universal_class) ),
introduced(definition,[new_symbols(definition,[spl5_39])],[avatar_definition]) ).
fof(f1831,plain,
( ! [X0] : ~ member(X0,universal_class)
| ~ spl5_39 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f1910,definition,
( spl5_48
<=> member(first(regular(sF1)),universal_class) ),
introduced(definition,[new_symbols(definition,[spl5_48])],[avatar_definition]) ).
fof(f1912,plain,
( member(first(regular(sF1)),universal_class)
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1919,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,[],[f1228,f228]) ).
fof(f1922,plain,
( member(first(regular(sF1)),sF4)
| null_class = sF1 ),
inference(superposition,[],[f1228,f197]) ).
fof(f1923,plain,
( member(first(regular(sF1)),sF4)
| spl5_27 ),
inference(forward_subsumption_resolution,[],[f1922,f1205]) ).
fof(f1937,plain,
! [X0] :
( member(second(regular(flip(X0))),universal_class)
| null_class = flip(X0) ),
inference(resolution,[],[f1225,f506]) ).
fof(f1959,plain,
( ! [X0] :
( ~ member(first(regular(sF1)),X0)
| member(first(regular(sF1)),universal_class) )
| spl5_27 ),
inference(resolution,[],[f1923,f1246]) ).
fof(f1962,definition,
( spl5_49
<=> ! [X0] : ~ member(first(regular(sF1)),X0) ),
introduced(definition,[new_symbols(definition,[spl5_49])],[avatar_definition]) ).
fof(f1963,plain,
( ! [X0] : ~ member(first(regular(sF1)),X0)
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f1964,plain,
( spl5_48
| spl5_49
| spl5_27 ),
inference(avatar_split_clause,[],[f1959,f1204,f1962,f1910]) ).
fof(f1970,plain,
( ! [X0] : sF1 = intersection(sF1,X0)
| ~ spl5_27 ),
inference(forward_demodulation,[],[f1638,f1206]) ).
fof(f2026,plain,
( ! [X0] :
( null_class != sF1
| ~ member(X0,domain_of(sF1)) )
| ~ spl5_27 ),
inference(superposition,[],[f147,f1970]) ).
fof(f2036,plain,
( ! [X0] : ~ member(X0,domain_of(sF1))
| ~ spl5_27 ),
inference(forward_subsumption_resolution,[],[f2026,f1206]) ).
fof(f2037,plain,
( ! [X0] : ~ member(X0,sF2)
| ~ spl5_27 ),
inference(forward_demodulation,[],[f2036,f199]) ).
fof(f2040,plain,
( null_class = sF2
| ~ spl5_27 ),
inference(resolution,[],[f2037,f68]) ).
fof(f2056,plain,
( sF1 = sF2
| ~ spl5_27 ),
inference(forward_demodulation,[],[f2040,f1206]) ).
fof(f2091,plain,
( ! [X0] : ~ member(X0,sF1)
| ~ spl5_27 ),
inference(superposition,[],[f2037,f2056]) ).
fof(f2184,plain,
( universal_class = null_class
| ~ spl5_39 ),
inference(resolution,[],[f1831,f68]) ).
fof(f2202,plain,
( $false
| spl5_12
| ~ spl5_39 ),
inference(forward_subsumption_resolution,[],[f2184,f428]) ).
fof(f2203,plain,
( spl5_12
| ~ spl5_39 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2233,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f147,f1638]) ).
fof(f2241,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f2233]) ).
fof(f2393,plain,
( null_class = intersection(sF1,cross_product(unordered_pair(first(regular(sF1)),first(regular(sF1))),universal_class))
| member(first(regular(sF1)),sF2)
| ~ spl5_48 ),
inference(resolution,[],[f1912,f328]) ).
fof(f2553,plain,
! [X0] :
( ~ member(first(regular(flip(X0))),sF4)
| member(first(first(regular(flip(X0)))),universal_class)
| null_class = flip(X0) ),
inference(superposition,[],[f230,f1919]) ).
fof(f2555,plain,
! [X0] :
( ~ member(first(regular(flip(X0))),sF4)
| member(second(first(regular(flip(X0)))),universal_class)
| null_class = flip(X0) ),
inference(superposition,[],[f232,f1919]) ).
fof(f2580,plain,
! [X0] :
( member(second(first(regular(flip(X0)))),universal_class)
| null_class = flip(X0) ),
inference(forward_subsumption_resolution,[],[f2555,f1228]) ).
fof(f2582,plain,
! [X0] :
( member(first(first(regular(flip(X0)))),universal_class)
| null_class = flip(X0) ),
inference(forward_subsumption_resolution,[],[f2553,f1228]) ).
fof(f2608,plain,
( member(first(regular(sF1)),sF4)
| spl5_27 ),
inference(forward_subsumption_resolution,[],[f1922,f1205]) ).
fof(f2632,definition,
( spl5_63
<=> member(first(regular(sF1)),sF2) ),
introduced(definition,[new_symbols(definition,[spl5_63])],[avatar_definition]) ).
fof(f2634,plain,
( member(first(regular(sF1)),sF2)
| ~ spl5_63 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f2636,definition,
( spl5_64
<=> null_class = intersection(sF1,cross_product(unordered_pair(first(regular(sF1)),first(regular(sF1))),universal_class)) ),
introduced(definition,[new_symbols(definition,[spl5_64])],[avatar_definition]) ).
fof(f2638,plain,
( null_class = intersection(sF1,cross_product(unordered_pair(first(regular(sF1)),first(regular(sF1))),universal_class))
| ~ spl5_64 ),
inference(avatar_component_clause,[],[f2636]) ).
fof(f2639,plain,
( spl5_63
| spl5_64
| ~ spl5_48 ),
inference(avatar_split_clause,[],[f2393,f1910,f2636,f2632]) ).
fof(f2644,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f2241,f68]) ).
fof(f2695,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f2241,f2644]) ).
fof(f2805,plain,
! [X0] :
( null_class = flip(X0)
| null_class = intersection(sF2,cross_product(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),universal_class))
| member(first(first(regular(flip(X0)))),null_class) ),
inference(resolution,[],[f2582,f327]) ).
fof(f2810,plain,
! [X0] :
( null_class = intersection(sF2,cross_product(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),universal_class))
| null_class = flip(X0) ),
inference(forward_subsumption_resolution,[],[f2805,f2695]) ).
fof(f2815,plain,
! [X0,X1] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(first(first(regular(flip(X1)))),first(first(regular(flip(X1))))),universal_class))
| ~ member(X0,sF2)
| null_class = flip(X1) ),
inference(superposition,[],[f23,f2810]) ).
fof(f2823,plain,
! [X0,X1] :
( ~ member(X0,cross_product(unordered_pair(first(first(regular(flip(X1)))),first(first(regular(flip(X1))))),universal_class))
| ~ member(X0,sF2)
| null_class = flip(X1) ),
inference(forward_subsumption_resolution,[],[f2815,f2695]) ).
fof(f2867,definition,
( spl5_71
<=> ! [X0] :
( ~ member(first(regular(flip(X0))),sF2)
| null_class = flip(X0) ) ),
introduced(definition,[new_symbols(definition,[spl5_71])],[avatar_definition]) ).
fof(f2868,plain,
( ! [X0] :
( ~ member(first(regular(flip(X0))),sF2)
| null_class = flip(X0) )
| ~ spl5_71 ),
inference(avatar_component_clause,[],[f2867]) ).
fof(f2932,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(first(first(regular(flip(X2)))),first(first(regular(flip(X2))))))
| null_class = flip(X2)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF2) ),
inference(resolution,[],[f2823,f142]) ).
fof(f3089,plain,
! [X0,X1] :
( null_class = flip(X0)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(X1,X1))),sF2)
| ~ member(first(first(regular(flip(X0)))),universal_class) ),
inference(resolution,[],[f2932,f9]) ).
fof(f3105,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(first(first(regular(flip(X0)))),first(first(regular(flip(X0))))),unordered_pair(first(first(regular(flip(X0)))),unordered_pair(X1,X1))),sF2)
| ~ member(X1,universal_class)
| null_class = flip(X0) ),
inference(forward_subsumption_resolution,[],[f3089,f2582]) ).
fof(f3141,plain,
( ~ member(first(regular(sF1)),sF2)
| null_class = sF1
| ~ spl5_71 ),
inference(superposition,[],[f2868,f197]) ).
fof(f3265,plain,
( $false
| spl5_27
| ~ spl5_49 ),
inference(resolution,[],[f1963,f2608]) ).
fof(f3266,plain,
( spl5_27
| ~ spl5_49 ),
inference(avatar_contradiction_clause,[],[f3265]) ).
fof(f4131,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,[],[f1242,f217]) ).
fof(f4150,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,[],[f4131]) ).
fof(f4162,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f4150,f2]) ).
fof(f4191,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f4162]) ).
fof(f4199,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f4191,f7]) ).
fof(f4219,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f4199,f1582]) ).
fof(f4233,plain,
x = intersection(x,sF4),
inference(resolution,[],[f4219,f205]) ).
fof(f4239,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,sF4) ),
inference(superposition,[],[f22,f4233]) ).
fof(f4258,plain,
( member(regular(x),sF4)
| null_class = x ),
inference(resolution,[],[f4239,f68]) ).
fof(f4281,plain,
member(regular(x),sF4),
inference(forward_subsumption_resolution,[],[f4258,f126]) ).
fof(f4298,plain,
regular(x) = unordered_pair(unordered_pair(first(regular(x)),first(regular(x))),unordered_pair(first(regular(x)),unordered_pair(second(regular(x)),second(regular(x))))),
inference(resolution,[],[f4281,f228]) ).
fof(f4315,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(second(regular(x)),second(regular(x))),unordered_pair(second(regular(x)),unordered_pair(first(regular(x)),first(regular(x))))),unordered_pair(unordered_pair(second(regular(x)),second(regular(x))),unordered_pair(second(regular(x)),unordered_pair(first(regular(x)),first(regular(x)))))),unordered_pair(unordered_pair(unordered_pair(second(regular(x)),second(regular(x))),unordered_pair(second(regular(x)),unordered_pair(first(regular(x)),first(regular(x))))),unordered_pair(X0,X0))),X1)
| ~ member(unordered_pair(unordered_pair(regular(x),regular(x)),unordered_pair(regular(x),unordered_pair(X0,X0))),flip(X1)) ),
inference(superposition,[],[f151,f4298]) ).
fof(f4318,plain,
( ~ member(regular(x),sF4)
| member(first(regular(x)),universal_class) ),
inference(superposition,[],[f230,f4298]) ).
fof(f4320,plain,
( ~ member(regular(x),sF4)
| member(second(regular(x)),universal_class) ),
inference(superposition,[],[f232,f4298]) ).
fof(f4330,plain,
! [X0] :
( member(unordered_pair(unordered_pair(regular(x),regular(x)),unordered_pair(regular(x),unordered_pair(X0,X0))),flip(sF1))
| ~ member(X0,universal_class)
| ~ member(regular(x),x)
| ~ member(regular(x),sF4)
| ~ member(unordered_pair(unordered_pair(second(regular(x)),second(regular(x))),unordered_pair(second(regular(x)),unordered_pair(first(regular(x)),first(regular(x))))),sF4) ),
inference(superposition,[],[f1434,f4298]) ).
fof(f4343,definition,
( spl5_99
<=> member(unordered_pair(unordered_pair(second(regular(x)),second(regular(x))),unordered_pair(second(regular(x)),unordered_pair(first(regular(x)),first(regular(x))))),sF4) ),
introduced(definition,[new_symbols(definition,[spl5_99])],[avatar_definition]) ).
fof(f4345,plain,
( ~ member(unordered_pair(unordered_pair(second(regular(x)),second(regular(x))),unordered_pair(second(regular(x)),unordered_pair(first(regular(x)),first(regular(x))))),sF4)
| spl5_99 ),
inference(avatar_component_clause,[],[f4343]) ).
fof(f4352,plain,
! [X0] :
( member(unordered_pair(unordered_pair(regular(x),regular(x)),unordered_pair(regular(x),unordered_pair(X0,X0))),flip(sF1))
| ~ member(X0,universal_class)
| ~ member(regular(x),x)
| ~ member(unordered_pair(unordered_pair(second(regular(x)),second(regular(x))),unordered_pair(second(regular(x)),unordered_pair(first(regular(x)),first(regular(x))))),sF4) ),
inference(forward_subsumption_resolution,[],[f4330,f4281]) ).
fof(f4366,definition,
( spl5_103
<=> member(second(regular(x)),universal_class) ),
introduced(definition,[new_symbols(definition,[spl5_103])],[avatar_definition]) ).
fof(f4367,plain,
( member(second(regular(x)),universal_class)
| ~ spl5_103 ),
inference(avatar_component_clause,[],[f4366]) ).
fof(f4374,plain,
member(second(regular(x)),universal_class),
inference(forward_subsumption_resolution,[],[f4320,f4281]) ).
fof(f4376,plain,
member(first(regular(x)),universal_class),
inference(forward_subsumption_resolution,[],[f4318,f4281]) ).
fof(f4388,definition,
( spl5_107
<=> member(regular(x),x) ),
introduced(definition,[new_symbols(definition,[spl5_107])],[avatar_definition]) ).
fof(f4390,plain,
( ~ member(regular(x),x)
| spl5_107 ),
inference(avatar_component_clause,[],[f4388]) ).
fof(f4392,definition,
( spl5_108
<=> ! [X0] :
( member(unordered_pair(unordered_pair(regular(x),regular(x)),unordered_pair(regular(x),unordered_pair(X0,X0))),flip(sF1))
| ~ member(X0,universal_class) ) ),
introduced(definition,[new_symbols(definition,[spl5_108])],[avatar_definition]) ).
fof(f4393,plain,
( ! [X0] :
( member(unordered_pair(unordered_pair(regular(x),regular(x)),unordered_pair(regular(x),unordered_pair(X0,X0))),flip(sF1))
| ~ member(X0,universal_class) )
| ~ spl5_108 ),
inference(avatar_component_clause,[],[f4392]) ).
fof(f4394,plain,
( ~ spl5_99
| ~ spl5_107
| spl5_108 ),
inference(avatar_split_clause,[],[f4352,f4392,f4388,f4343]) ).
fof(f4397,plain,
spl5_103,
inference(avatar_split_clause,[],[f4374,f4366]) ).
fof(f4572,plain,
( ~ member(first(regular(x)),universal_class)
| ~ member(second(regular(x)),universal_class)
| spl5_99 ),
inference(resolution,[],[f4345,f285]) ).
fof(f4573,plain,
( ~ member(second(regular(x)),universal_class)
| spl5_99 ),
inference(forward_subsumption_resolution,[],[f4572,f4376]) ).
fof(f4574,plain,
( $false
| spl5_99
| ~ spl5_103 ),
inference(forward_subsumption_resolution,[],[f4573,f4367]) ).
fof(f4575,plain,
( spl5_99
| ~ spl5_103 ),
inference(avatar_contradiction_clause,[],[f4574]) ).
fof(f4583,plain,
( ~ subclass(x,x)
| null_class = x
| spl5_107 ),
inference(resolution,[],[f4390,f220]) ).
fof(f4584,plain,
( null_class = x
| spl5_107 ),
inference(forward_subsumption_resolution,[],[f4583,f191]) ).
fof(f4587,plain,
( $false
| spl5_107 ),
inference(forward_subsumption_resolution,[],[f4584,f126]) ).
fof(f4588,plain,
spl5_107,
inference(avatar_contradiction_clause,[],[f4587]) ).
fof(f4796,plain,
( ! [X0] : ~ member(unordered_pair(unordered_pair(regular(x),regular(x)),unordered_pair(regular(x),unordered_pair(X0,X0))),flip(sF1))
| ~ spl5_27 ),
inference(resolution,[],[f4315,f2091]) ).
fof(f4884,plain,
( ! [X0] : ~ member(X0,universal_class)
| ~ spl5_27
| ~ spl5_108 ),
inference(resolution,[],[f4796,f4393]) ).
fof(f4885,plain,
( spl5_39
| ~ spl5_27
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f4884,f4392,f1204,f1830]) ).
fof(f4893,plain,
( null_class = sF1
| ~ spl5_63
| ~ spl5_71 ),
inference(forward_subsumption_resolution,[],[f3141,f2634]) ).
fof(f5088,plain,
( $false
| spl5_27
| ~ spl5_63
| ~ spl5_71 ),
inference(forward_subsumption_resolution,[],[f4893,f1205]) ).
fof(f5089,plain,
( spl5_27
| ~ spl5_63
| ~ spl5_71 ),
inference(avatar_contradiction_clause,[],[f5088]) ).
fof(f5414,definition,
( spl5_174
<=> member(first(regular(sF1)),unordered_pair(first(regular(sF1)),first(regular(sF1)))) ),
introduced(definition,[new_symbols(definition,[spl5_174])],[avatar_definition]) ).
fof(f5415,plain,
( member(first(regular(sF1)),unordered_pair(first(regular(sF1)),first(regular(sF1))))
| ~ spl5_174 ),
inference(avatar_component_clause,[],[f5414]) ).
fof(f5416,plain,
( ~ member(first(regular(sF1)),unordered_pair(first(regular(sF1)),first(regular(sF1))))
| spl5_174 ),
inference(avatar_component_clause,[],[f5414]) ).
fof(f6171,plain,
( ~ member(first(regular(sF1)),universal_class)
| spl5_174 ),
inference(resolution,[],[f5416,f9]) ).
fof(f6175,plain,
( $false
| ~ spl5_48
| spl5_174 ),
inference(forward_subsumption_resolution,[],[f6171,f1912]) ).
fof(f6176,plain,
( ~ spl5_48
| spl5_174 ),
inference(avatar_contradiction_clause,[],[f6175]) ).
fof(f6330,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,cross_product(unordered_pair(first(regular(sF1)),first(regular(sF1))),universal_class))
| ~ member(X0,sF1) )
| ~ spl5_64 ),
inference(superposition,[],[f23,f2638]) ).
fof(f6341,plain,
( ! [X0] :
( ~ member(X0,cross_product(unordered_pair(first(regular(sF1)),first(regular(sF1))),universal_class))
| ~ member(X0,sF1) )
| ~ spl5_64 ),
inference(forward_subsumption_resolution,[],[f6330,f2695]) ).
fof(f6344,plain,
( ! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(first(regular(sF1)),first(regular(sF1)))) )
| ~ spl5_64 ),
inference(resolution,[],[f6341,f142]) ).
fof(f6388,plain,
( ! [X0] :
( ~ member(regular(flip(X0)),sF1)
| ~ member(second(regular(flip(X0))),universal_class)
| ~ member(first(regular(flip(X0))),unordered_pair(first(regular(sF1)),first(regular(sF1))))
| null_class = flip(X0) )
| ~ spl5_64 ),
inference(superposition,[],[f6344,f544]) ).
fof(f6394,plain,
( ! [X0] :
( ~ member(first(regular(flip(X0))),unordered_pair(first(regular(sF1)),first(regular(sF1))))
| ~ member(regular(flip(X0)),sF1)
| null_class = flip(X0) )
| ~ spl5_64 ),
inference(forward_subsumption_resolution,[],[f6388,f1937]) ).
fof(f6398,plain,
( ~ member(first(regular(sF1)),unordered_pair(first(regular(sF1)),first(regular(sF1))))
| ~ member(regular(sF1),sF1)
| null_class = sF1
| ~ spl5_64 ),
inference(superposition,[],[f6394,f197]) ).
fof(f6400,plain,
( ~ member(first(regular(sF1)),unordered_pair(first(regular(sF1)),first(regular(sF1))))
| null_class = sF1
| ~ spl5_64 ),
inference(forward_subsumption_resolution,[],[f6398,f68]) ).
fof(f6401,plain,
( null_class = sF1
| ~ spl5_64
| ~ spl5_174 ),
inference(forward_subsumption_resolution,[],[f6400,f5415]) ).
fof(f6402,plain,
( $false
| spl5_27
| ~ spl5_64
| ~ spl5_174 ),
inference(forward_subsumption_resolution,[],[f6401,f1205]) ).
fof(f6403,plain,
( spl5_27
| ~ spl5_64
| ~ spl5_174 ),
inference(avatar_contradiction_clause,[],[f6402]) ).
fof(f6538,plain,
! [X0] :
( ~ member(first(regular(flip(X0))),sF2)
| ~ member(second(first(regular(flip(X0)))),universal_class)
| null_class = flip(X0)
| null_class = flip(X0) ),
inference(superposition,[],[f3105,f1919]) ).
fof(f6539,plain,
! [X0] :
( ~ member(first(regular(flip(X0))),sF2)
| ~ member(second(first(regular(flip(X0)))),universal_class)
| null_class = flip(X0) ),
inference(duplicate_literal_removal,[],[f6538]) ).
fof(f6540,plain,
! [X0] :
( ~ member(first(regular(flip(X0))),sF2)
| null_class = flip(X0) ),
inference(forward_subsumption_resolution,[],[f6539,f2580]) ).
fof(f6542,plain,
spl5_71,
inference(avatar_split_clause,[],[f6540,f2867]) ).
cnf(s18,plain,
~ spl5_12,
inference(sat_conversion,[],[f1102]) ).
cnf(s48,plain,
( spl5_27
| spl5_48
| spl5_49 ),
inference(sat_conversion,[],[f1964]) ).
cnf(s51,plain,
( spl5_12
| ~ spl5_39 ),
inference(sat_conversion,[],[f2203]) ).
cnf(s62,plain,
( ~ spl5_48
| spl5_63
| spl5_64 ),
inference(sat_conversion,[],[f2639]) ).
cnf(s73,plain,
( spl5_27
| ~ spl5_49 ),
inference(sat_conversion,[],[f3266]) ).
cnf(s100,plain,
( ~ spl5_99
| ~ spl5_107
| spl5_108 ),
inference(sat_conversion,[],[f4394]) ).
cnf(s101,plain,
spl5_103,
inference(sat_conversion,[],[f4397]) ).
cnf(s112,plain,
( spl5_99
| ~ spl5_103 ),
inference(sat_conversion,[],[f4575]) ).
cnf(s114,plain,
spl5_107,
inference(sat_conversion,[],[f4588]) ).
cnf(s115,plain,
( ~ spl5_27
| spl5_39
| ~ spl5_108 ),
inference(sat_conversion,[],[f4885]) ).
cnf(s160,plain,
( spl5_27
| ~ spl5_63
| ~ spl5_71 ),
inference(sat_conversion,[],[f5089]) ).
cnf(s213,plain,
( ~ spl5_48
| spl5_174 ),
inference(sat_conversion,[],[f6176]) ).
cnf(s224,plain,
( spl5_27
| ~ spl5_64
| ~ spl5_174 ),
inference(sat_conversion,[],[f6403]) ).
cnf(s228,plain,
spl5_71,
inference(sat_conversion,[],[f6542]) ).
cnf(s229,plain,
( spl5_27
| ~ spl5_63 ),
inference(rat,[],[s160,s228]) ).
cnf(s231,plain,
spl5_99,
inference(rat,[],[s112,s101]) ).
cnf(s232,plain,
spl5_108,
inference(rat,[],[s100,s114,s231]) ).
cnf(s244,plain,
~ spl5_39,
inference(rat,[],[s51,s18]) ).
cnf(s245,plain,
~ spl5_27,
inference(rat,[],[s115,s232,s244]) ).
cnf(s247,plain,
~ spl5_63,
inference(rat,[],[s229,s245]) ).
cnf(s248,plain,
~ spl5_49,
inference(rat,[],[s73,s245]) ).
cnf(s249,plain,
spl5_48,
inference(rat,[],[s48,s248,s245]) ).
cnf(s251,plain,
spl5_174,
inference(rat,[],[s213,s249]) ).
cnf(s252,plain,
spl5_64,
inference(rat,[],[s62,s247,s249]) ).
cnf(s254,plain,
$false,
inference(rat,[],[s224,s245,s251,s252]) ).
fof(f6543,plain,
$false,
inference(avatar_sat_refutation,[],[s254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET323-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 01:26:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 10.48/2.15 % (1347274)Input is clausal, will run a generic CNF schedule.
% 10.48/2.15 % (1347284)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=460010939:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.48/2.15 % (1347280)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4259216937:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.48/2.15 % (1347282)lrs+10_1_sil=8000:sp=occurrence:random_seed=1254141352:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.48/2.15 % (1347281)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3696373074:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.48/2.15 % (1347279)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=798744688:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.48/2.15 % (1347285)dis-21_1_sil=8000:lcm=predicate:random_seed=3761769835: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)
% 10.48/2.15 % (1347283)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3129994901:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.48/2.15 % (1347282)Refutation not found, incomplete strategy
% 10.48/2.15 % (1347282)------------------------------
% 10.48/2.15 % (1347282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.15 % (1347282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.15 % (1347282)CaDiCaL version: 2.1.3
% 10.48/2.15 % (1347282)Termination reason: Refutation not found, incomplete strategy
% 10.48/2.15 % (1347282)Time elapsed: 0.001 s
% 10.48/2.15 % (1347282)Peak memory usage: 88 MB
% 10.48/2.15 % (1347282)Instructions burned: 1 (million)
% 10.48/2.15 % (1347284)Instruction limit reached!
% 10.48/2.15 % (1347284)------------------------------
% 10.48/2.15 % (1347284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.15 % (1347284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.15 % (1347284)CaDiCaL version: 2.1.3
% 10.48/2.15 % (1347284)Termination reason: Instruction limit
% 10.48/2.15 % (1347284)Termination phase: Saturation
% 10.48/2.15 % (1347284)Time elapsed: 0.071 s
% 10.48/2.15 % (1347284)Peak memory usage: 90 MB
% 10.48/2.15 % (1347284)Instructions burned: 182 (million)
% 10.48/2.15 % (1347285)Instruction limit reached!
% 10.48/2.15 % (1347285)------------------------------
% 10.48/2.15 % (1347285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.15 % (1347285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.15 % (1347285)CaDiCaL version: 2.1.3
% 10.48/2.15 % (1347285)Termination reason: Instruction limit
% 10.48/2.15 % (1347285)Termination phase: Saturation
% 10.48/2.15 % (1347285)Time elapsed: 0.068 s
% 10.48/2.15 % (1347285)Peak memory usage: 89 MB
% 10.48/2.15 % (1347285)Instructions burned: 118 (million)
% 10.48/2.15 % (1347283)Instruction limit reached!
% 10.48/2.15 % (1347283)------------------------------
% 10.48/2.15 % (1347283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.48/2.15 % (1347283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.48/2.15 % (1347283)CaDiCaL version: 2.1.3
% 10.48/2.15 % (1347283)Termination reason: Instruction limit
% 10.48/2.15 % (1347283)Termination phase: Saturation
% 10.48/2.15 % (1347283)Time elapsed: 0.069 s
% 10.48/2.15 % (1347283)Peak memory usage: 89 MB
% 10.48/2.15 % (1347283)Instructions burned: 115 (million)
% 10.48/2.15 % (1347295)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=575985162:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.48/2.15 % (1347293)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=1479035011:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.48/2.15 % (1347294)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2469102924: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)
% 10.48/2.15 % (1347282)------------------------------
% 10.48/2.15 % (1347282)------------------------------
% 10.48/2.15 % (1347295)Instruction limit reached!
% 10.48/2.15 % (1347295)------------------------------
% 11.33/2.28 % (1347295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347295)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347295)Termination reason: Instruction limit
% 11.33/2.28 % (1347295)Termination phase: Saturation
% 11.33/2.28 % (1347295)Time elapsed: 0.071 s
% 11.33/2.28 % (1347295)Peak memory usage: 89 MB
% 11.33/2.28 % (1347295)Instructions burned: 221 (million)
% 11.33/2.28 % (1347293)Instruction limit reached!
% 11.33/2.28 % (1347293)------------------------------
% 11.33/2.28 % (1347293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347293)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347293)Termination reason: Instruction limit
% 11.33/2.28 % (1347293)Termination phase: Saturation
% 11.33/2.28 % (1347293)Time elapsed: 0.090 s
% 11.33/2.28 % (1347293)Peak memory usage: 89 MB
% 11.33/2.28 % (1347293)Instructions burned: 144 (million)
% 11.33/2.28 % (1347294)Instruction limit reached!
% 11.33/2.28 % (1347294)------------------------------
% 11.33/2.28 % (1347294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347294)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347294)Termination reason: Instruction limit
% 11.33/2.28 % (1347294)Termination phase: Saturation
% 11.33/2.28 % (1347294)Time elapsed: 0.102 s
% 11.33/2.28 % (1347294)Peak memory usage: 90 MB
% 11.33/2.28 % (1347294)Instructions burned: 191 (million)
% 11.33/2.28 % (1347300)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4178440475:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.33/2.28 % (1347299)lrs+10_64_to=lpo:sil=8000:random_seed=1409541806:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.33/2.28 % (1347300)Instruction limit reached!
% 11.33/2.28 % (1347300)------------------------------
% 11.33/2.28 % (1347300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347300)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347300)Termination reason: Instruction limit
% 11.33/2.28 % (1347300)Termination phase: Saturation
% 11.33/2.28 % (1347300)Time elapsed: 0.065 s
% 11.33/2.28 % (1347300)Peak memory usage: 89 MB
% 11.33/2.28 % (1347300)Instructions burned: 197 (million)
% 11.33/2.28 % (1347299)Instruction limit reached!
% 11.33/2.28 % (1347299)------------------------------
% 11.33/2.28 % (1347299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347299)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347299)Termination reason: Instruction limit
% 11.33/2.28 % (1347299)Termination phase: Saturation
% 11.33/2.28 % (1347299)Time elapsed: 0.078 s
% 11.33/2.28 % (1347299)Peak memory usage: 89 MB
% 11.33/2.28 % (1347299)Instructions burned: 127 (million)
% 11.33/2.28 % (1347301)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=360153799:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.33/2.28 % (1347302)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2584964392:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 11.33/2.28 % (1347305)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=3028955868:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.33/2.28 % (1347301)Instruction limit reached!
% 11.33/2.28 % (1347301)------------------------------
% 11.33/2.28 % (1347301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347301)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347301)Termination reason: Instruction limit
% 11.33/2.28 % (1347301)Termination phase: Saturation
% 11.33/2.28 % (1347301)Time elapsed: 0.110 s
% 11.33/2.28 % (1347301)Peak memory usage: 91 MB
% 11.33/2.28 % (1347301)Instructions burned: 159 (million)
% 11.33/2.28 % (1347305)Instruction limit reached!
% 11.33/2.28 % (1347305)------------------------------
% 11.33/2.28 % (1347305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347305)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347305)Termination reason: Instruction limit
% 11.33/2.28 % (1347305)Termination phase: Saturation
% 11.33/2.28 % (1347305)Time elapsed: 0.069 s
% 11.33/2.28 % (1347305)Peak memory usage: 89 MB
% 11.33/2.28 % (1347305)Instructions burned: 107 (million)
% 11.33/2.28 % (1347307)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1281564447:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.33/2.28 % (1347307)Instruction limit reached!
% 11.33/2.28 % (1347307)------------------------------
% 11.33/2.28 % (1347307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347307)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347307)Termination reason: Instruction limit
% 11.33/2.28 % (1347307)Termination phase: Saturation
% 11.33/2.28 % (1347307)Time elapsed: 0.072 s
% 11.33/2.28 % (1347307)Peak memory usage: 89 MB
% 11.33/2.28 % (1347307)Instructions burned: 108 (million)
% 11.33/2.28 % (1347310)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1199400475:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.33/2.28 % (1347311)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=982293333:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.33/2.28 % (1347313)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2723499392:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 11.33/2.28 % (1347310)Instruction limit reached!
% 11.33/2.28 % (1347310)------------------------------
% 11.33/2.28 % (1347310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347310)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347310)Termination reason: Instruction limit
% 11.33/2.28 % (1347310)Termination phase: Saturation
% 11.33/2.28 % (1347310)Time elapsed: 0.159 s
% 11.33/2.28 % (1347310)Peak memory usage: 90 MB
% 11.33/2.28 % (1347310)Instructions burned: 243 (million)
% 11.33/2.28 % (1347313)Instruction limit reached!
% 11.33/2.28 % (1347313)------------------------------
% 11.33/2.28 % (1347313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347313)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347313)Termination reason: Instruction limit
% 11.33/2.28 % (1347313)Termination phase: Saturation
% 11.33/2.28 % (1347313)Time elapsed: 0.095 s
% 11.33/2.28 % (1347313)Peak memory usage: 89 MB
% 11.33/2.28 % (1347313)Instructions burned: 134 (million)
% 11.33/2.28 % (1347317)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3945750465:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.33/2.28 % (1347318)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3208287440:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.33/2.28 % (1347318)Instruction limit reached!
% 11.33/2.28 % (1347318)------------------------------
% 11.33/2.28 % (1347318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347318)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347318)Termination reason: Instruction limit
% 11.33/2.28 % (1347318)Termination phase: Saturation
% 11.33/2.28 % (1347318)Time elapsed: 0.110 s
% 11.33/2.28 % (1347318)Peak memory usage: 89 MB
% 11.33/2.28 % (1347318)Instructions burned: 192 (million)
% 11.33/2.28 % (1347279)First to succeed.
% 11.33/2.28 % (1347279)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1347274"
% 11.33/2.28 % (1347317)Instruction limit reached!
% 11.33/2.28 % (1347317)------------------------------
% 11.33/2.28 % (1347317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.28 % (1347317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.28 % (1347317)CaDiCaL version: 2.1.3
% 11.33/2.28 % (1347317)Termination reason: Instruction limit
% 11.33/2.28 % (1347317)Termination phase: Saturation
% 11.33/2.28 % (1347317)Time elapsed: 0.303 s
% 11.33/2.28 % (1347317)Peak memory usage: 95 MB
% 11.33/2.28 % (1347317)Instructions burned: 501 (million)
% 11.33/2.28 % (1347321)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1280836293:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 11.33/2.28 % (1347279)Refutation found. Thanks to Tanya!
% 11.33/2.28 % SZS status Unsatisfiable for theBenchmark
% 11.33/2.28 % SZS output start Proof for theBenchmark
% See solution above
% 12.13/2.48 % (1347279)------------------------------
% 12.13/2.48 % (1347279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/2.48 % (1347279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/2.48 % (1347279)CaDiCaL version: 2.1.3
% 12.13/2.48 % (1347279)Termination reason: Refutation
% 12.13/2.48 % (1347279)Time elapsed: 1.247 s
% 12.13/2.48 % (1347279)Peak memory usage: 136 MB
% 12.13/2.48 % (1347279)Instructions burned: 1856 (million)
% 12.13/2.48 % (1347279)------------------------------
% 12.13/2.48 % (1347279)------------------------------
% 12.13/2.48 % (1347274)Success in time 1.669 s
% 12.13/2.48 % Vampire exiting
%------------------------------------------------------------------------------