%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET521-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:41:06 PM UTC 2026
% Result : Unsatisfiable 9.43s 2.18s
% Output : Refutation 9.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 40
% Syntax : Number of formulae : 174 ( 47 unt; 20 def)
% Number of atoms : 385 ( 83 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 393 ( 182 ~; 197 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-3 aty)
% Number of variables : 97 ( 0 sgn 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/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,
first(ordered_pair(x,y)) = ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_1) ).
fof(f123,plain,
ordered_pair(x,y) = first(ordered_pair(x,y)),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_2) ).
fof(f129,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f141,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,f129]) ).
fof(f145,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f187,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) = first(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),
inference(definition_unfolding,[],[f123,f129,f129]) ).
fof(f188,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f124,f129]) ).
fof(f193,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f194,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF1 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f196,plain,
unordered_pair(y,y) = sF1,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF2 = unordered_pair(x,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f198,plain,
unordered_pair(x,sF1) = sF2,
inference(reorient_equations,[],[f197]) ).
fof(f199,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f200,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f199]) ).
fof(f201,definition,
sF4 = first(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f202,plain,
first(sF3) = sF4,
inference(reorient_equations,[],[f201]) ).
fof(f203,plain,
sF3 = sF4,
inference(definition_folding,[],[f187,f202,f200,f198,f196,f194,f200,f198,f196,f194]) ).
fof(f204,definition,
sF5 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f205,plain,
cross_product(universal_class,universal_class) = sF5,
inference(reorient_equations,[],[f204]) ).
fof(f206,plain,
member(sF3,sF5),
inference(definition_folding,[],[f188,f205,f200,f198,f196,f194]) ).
fof(f207,plain,
sF3 = first(sF3),
inference(forward_demodulation,[],[f202,f203]) ).
fof(f236,definition,
( spl6_6
<=> member(sF0,universal_class) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f237,plain,
( member(sF0,universal_class)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( ~ member(sF0,universal_class)
| spl6_6 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f240,definition,
( spl6_7
<=> member(sF0,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f242,plain,
( member(sF0,sF3)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f244,plain,
! [X0] :
( ~ member(X0,sF5)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f141,f205]) ).
fof(f245,plain,
sF3 = unordered_pair(unordered_pair(first(sF3),first(sF3)),unordered_pair(first(sF3),unordered_pair(second(sF3),second(sF3)))),
inference(resolution,[],[f244,f206]) ).
fof(f246,plain,
sF3 = unordered_pair(unordered_pair(sF3,sF3),unordered_pair(sF3,unordered_pair(second(sF3),second(sF3)))),
inference(forward_demodulation,[],[f245,f207]) ).
fof(f247,plain,
( member(unordered_pair(sF3,sF3),sF3)
| ~ member(unordered_pair(sF3,sF3),universal_class) ),
inference(superposition,[],[f9,f246]) ).
fof(f248,plain,
member(unordered_pair(sF3,sF3),sF3),
inference(forward_subsumption_resolution,[],[f247,f11]) ).
fof(f254,plain,
! [X0] :
( ~ member(X0,sF3)
| sF0 = X0
| sF2 = X0 ),
inference(superposition,[],[f8,f200]) ).
fof(f264,definition,
( spl6_8
<=> member(sF2,universal_class) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f265,plain,
( member(sF2,universal_class)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( ~ member(sF2,universal_class)
| spl6_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl6_9
<=> member(sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f270,plain,
( member(sF2,sF3)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f282,plain,
( sF0 = unordered_pair(sF3,sF3)
| sF2 = unordered_pair(sF3,sF3) ),
inference(resolution,[],[f254,f248]) ).
fof(f284,definition,
( spl6_12
<=> sF2 = unordered_pair(sF3,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f286,plain,
( sF2 = unordered_pair(sF3,sF3)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f288,definition,
( spl6_13
<=> sF0 = unordered_pair(sF3,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f290,plain,
( sF0 = unordered_pair(sF3,sF3)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f291,plain,
( spl6_12
| spl6_13 ),
inference(avatar_split_clause,[],[f282,f288,f284]) ).
fof(f292,plain,
( member(sF2,sF3)
| ~ spl6_12 ),
inference(superposition,[],[f248,f286]) ).
fof(f294,plain,
( member(sF3,sF2)
| ~ member(sF3,universal_class)
| ~ spl6_12 ),
inference(superposition,[],[f10,f286]) ).
fof(f299,definition,
( spl6_14
<=> member(sF3,universal_class) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
fof(f300,plain,
( member(sF3,universal_class)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f301,plain,
( ~ member(sF3,universal_class)
| spl6_14 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f303,definition,
( spl6_15
<=> member(sF3,sF2) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
fof(f305,plain,
( member(sF3,sF2)
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,plain,
( ~ spl6_14
| spl6_15
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f294,f284,f303,f299]) ).
fof(f308,plain,
( spl6_9
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f292,f284,f268]) ).
fof(f313,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f68,f8]) ).
fof(f446,plain,
! [X0] :
( ~ subclass(sF5,X0)
| member(sF3,X0) ),
inference(resolution,[],[f1,f206]) ).
fof(f455,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f484,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X2,X1),X3)
| ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f486,plain,
! [X0,X1] :
( ~ member(X0,regular(X1))
| member(X0,null_class)
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f496,plain,
member(sF3,universal_class),
inference(resolution,[],[f446,f4]) ).
fof(f497,plain,
( $false
| spl6_14 ),
inference(forward_subsumption_resolution,[],[f496,f301]) ).
fof(f498,plain,
spl6_14,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f739,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X2,X0))
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2
| null_class = unordered_pair(X2,X0) ),
inference(superposition,[],[f486,f313]) ).
fof(f743,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X2,X0))
| member(X1,null_class)
| ~ member(X1,X0)
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2 ),
inference(duplicate_literal_removal,[],[f739]) ).
fof(f796,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X0,X1)
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0
| member(X0,null_class) ),
inference(resolution,[],[f743,f9]) ).
fof(f817,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f455,f3]) ).
fof(f836,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f817]) ).
fof(f851,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f836,f70]) ).
fof(f852,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f851,f7]) ).
fof(f853,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f852]) ).
fof(f854,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f853,f836]) ).
fof(f863,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f484,f4]) ).
fof(f878,plain,
( ! [X0] :
( ~ member(sF2,X0)
| member(sF2,universal_class) )
| ~ spl6_9 ),
inference(resolution,[],[f863,f270]) ).
fof(f881,plain,
( ! [X0] : ~ member(sF2,X0)
| spl6_8
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f878,f266]) ).
fof(f971,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f145,f854]) ).
fof(f972,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f971]) ).
fof(f981,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f972,f68]) ).
fof(f989,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f972,f981]) ).
fof(f1497,plain,
( member(sF0,sF3)
| ~ spl6_13 ),
inference(superposition,[],[f248,f290]) ).
fof(f1518,plain,
( member(sF3,sF0)
| ~ member(sF3,universal_class)
| ~ spl6_13 ),
inference(superposition,[],[f10,f290]) ).
fof(f1528,plain,
( member(sF3,sF0)
| ~ spl6_13
| ~ spl6_14 ),
inference(forward_subsumption_resolution,[],[f1518,f300]) ).
fof(f1533,plain,
( spl6_7
| ~ spl6_13 ),
inference(avatar_split_clause,[],[f1497,f288,f240]) ).
fof(f1551,plain,
( $false
| spl6_8
| ~ spl6_9 ),
inference(resolution,[],[f881,f270]) ).
fof(f1556,plain,
( spl6_8
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1551]) ).
fof(f1562,plain,
( ! [X0] :
( ~ member(sF0,X0)
| member(sF0,universal_class) )
| ~ spl6_7 ),
inference(resolution,[],[f242,f863]) ).
fof(f1564,plain,
( ! [X0] : ~ member(sF0,X0)
| spl6_6
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f1562,f238]) ).
fof(f1565,plain,
( $false
| spl6_6
| ~ spl6_7 ),
inference(resolution,[],[f1564,f242]) ).
fof(f1570,plain,
( spl6_6
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1779,plain,
( ! [X0] :
( ~ member(sF3,X0)
| null_class = unordered_pair(sF3,X0)
| sF3 = regular(unordered_pair(sF3,X0))
| member(sF3,null_class) )
| ~ spl6_14 ),
inference(resolution,[],[f796,f300]) ).
fof(f1780,plain,
( ! [X0] :
( ~ member(sF3,X0)
| null_class = unordered_pair(sF3,X0)
| sF3 = regular(unordered_pair(sF3,X0)) )
| ~ spl6_14 ),
inference(forward_subsumption_resolution,[],[f1779,f989]) ).
fof(f2335,plain,
( null_class = unordered_pair(sF3,sF0)
| sF3 = regular(unordered_pair(sF3,sF0))
| ~ spl6_13
| ~ spl6_14 ),
inference(resolution,[],[f1780,f1528]) ).
fof(f2336,plain,
( null_class = unordered_pair(sF3,sF2)
| sF3 = regular(unordered_pair(sF3,sF2))
| ~ spl6_14
| ~ spl6_15 ),
inference(resolution,[],[f1780,f305]) ).
fof(f2355,definition,
( spl6_100
<=> sF3 = regular(unordered_pair(sF3,sF2)) ),
introduced(definition,[new_symbols(definition,[spl6_100])],[avatar_definition]) ).
fof(f2357,plain,
( sF3 = regular(unordered_pair(sF3,sF2))
| ~ spl6_100 ),
inference(avatar_component_clause,[],[f2355]) ).
fof(f2359,definition,
( spl6_101
<=> null_class = unordered_pair(sF3,sF2) ),
introduced(definition,[new_symbols(definition,[spl6_101])],[avatar_definition]) ).
fof(f2361,plain,
( null_class = unordered_pair(sF3,sF2)
| ~ spl6_101 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f2362,plain,
( spl6_100
| spl6_101
| ~ spl6_14
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f2336,f303,f299,f2359,f2355]) ).
fof(f2364,definition,
( spl6_102
<=> sF3 = regular(unordered_pair(sF3,sF0)) ),
introduced(definition,[new_symbols(definition,[spl6_102])],[avatar_definition]) ).
fof(f2366,plain,
( sF3 = regular(unordered_pair(sF3,sF0))
| ~ spl6_102 ),
inference(avatar_component_clause,[],[f2364]) ).
fof(f2368,definition,
( spl6_103
<=> null_class = unordered_pair(sF3,sF0) ),
introduced(definition,[new_symbols(definition,[spl6_103])],[avatar_definition]) ).
fof(f2370,plain,
( null_class = unordered_pair(sF3,sF0)
| ~ spl6_103 ),
inference(avatar_component_clause,[],[f2368]) ).
fof(f2371,plain,
( spl6_102
| spl6_103
| ~ spl6_13
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f2335,f299,f288,f2368,f2364]) ).
fof(f2456,plain,
( ! [X0] :
( ~ member(X0,sF3)
| member(X0,null_class)
| ~ member(X0,unordered_pair(sF3,sF2))
| null_class = unordered_pair(sF3,sF2) )
| ~ spl6_100 ),
inference(superposition,[],[f486,f2357]) ).
fof(f2474,plain,
( ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,unordered_pair(sF3,sF2))
| null_class = unordered_pair(sF3,sF2) )
| ~ spl6_100 ),
inference(forward_subsumption_resolution,[],[f2456,f989]) ).
fof(f2476,definition,
( spl6_117
<=> ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,unordered_pair(sF3,sF2)) ) ),
introduced(definition,[new_symbols(definition,[spl6_117])],[avatar_definition]) ).
fof(f2477,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sF3,sF2))
| ~ member(X0,sF3) )
| ~ spl6_117 ),
inference(avatar_component_clause,[],[f2476]) ).
fof(f2478,plain,
( spl6_101
| spl6_117
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f2474,f2355,f2476,f2359]) ).
fof(f2481,plain,
( member(sF3,null_class)
| ~ member(sF3,universal_class)
| ~ spl6_101 ),
inference(superposition,[],[f9,f2361]) ).
fof(f2485,plain,
( ~ member(sF3,universal_class)
| ~ spl6_101 ),
inference(forward_subsumption_resolution,[],[f2481,f989]) ).
fof(f2488,plain,
( $false
| ~ spl6_14
| ~ spl6_101 ),
inference(forward_subsumption_resolution,[],[f2485,f300]) ).
fof(f2489,plain,
( ~ spl6_14
| ~ spl6_101 ),
inference(avatar_contradiction_clause,[],[f2488]) ).
fof(f2491,plain,
( ~ member(sF2,sF3)
| ~ member(sF2,universal_class)
| ~ spl6_117 ),
inference(resolution,[],[f2477,f10]) ).
fof(f2509,plain,
( ~ member(sF2,universal_class)
| ~ spl6_9
| ~ spl6_117 ),
inference(forward_subsumption_resolution,[],[f2491,f270]) ).
fof(f2511,plain,
( $false
| ~ spl6_8
| ~ spl6_9
| ~ spl6_117 ),
inference(forward_subsumption_resolution,[],[f2509,f265]) ).
fof(f2512,plain,
( ~ spl6_8
| ~ spl6_9
| ~ spl6_117 ),
inference(avatar_contradiction_clause,[],[f2511]) ).
fof(f2586,plain,
( ! [X0] :
( ~ member(X0,sF3)
| member(X0,null_class)
| ~ member(X0,unordered_pair(sF3,sF0))
| null_class = unordered_pair(sF3,sF0) )
| ~ spl6_102 ),
inference(superposition,[],[f486,f2366]) ).
fof(f2604,plain,
( ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,unordered_pair(sF3,sF0))
| null_class = unordered_pair(sF3,sF0) )
| ~ spl6_102 ),
inference(forward_subsumption_resolution,[],[f2586,f989]) ).
fof(f2606,definition,
( spl6_127
<=> ! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,unordered_pair(sF3,sF0)) ) ),
introduced(definition,[new_symbols(definition,[spl6_127])],[avatar_definition]) ).
fof(f2607,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sF3,sF0))
| ~ member(X0,sF3) )
| ~ spl6_127 ),
inference(avatar_component_clause,[],[f2606]) ).
fof(f2608,plain,
( spl6_103
| spl6_127
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f2604,f2364,f2606,f2368]) ).
fof(f2614,plain,
( member(sF3,null_class)
| ~ member(sF3,universal_class)
| ~ spl6_103 ),
inference(superposition,[],[f9,f2370]) ).
fof(f2618,plain,
( ~ member(sF3,universal_class)
| ~ spl6_103 ),
inference(forward_subsumption_resolution,[],[f2614,f989]) ).
fof(f2623,plain,
( $false
| ~ spl6_14
| ~ spl6_103 ),
inference(forward_subsumption_resolution,[],[f2618,f300]) ).
fof(f2624,plain,
( ~ spl6_14
| ~ spl6_103 ),
inference(avatar_contradiction_clause,[],[f2623]) ).
fof(f2627,plain,
( ~ member(sF0,sF3)
| ~ member(sF0,universal_class)
| ~ spl6_127 ),
inference(resolution,[],[f2607,f10]) ).
fof(f2640,plain,
( ~ member(sF0,universal_class)
| ~ spl6_7
| ~ spl6_127 ),
inference(forward_subsumption_resolution,[],[f2627,f242]) ).
fof(f2642,plain,
( $false
| ~ spl6_6
| ~ spl6_7
| ~ spl6_127 ),
inference(forward_subsumption_resolution,[],[f2640,f237]) ).
fof(f2643,plain,
( ~ spl6_6
| ~ spl6_7
| ~ spl6_127 ),
inference(avatar_contradiction_clause,[],[f2642]) ).
cnf(s7,plain,
( spl6_12
| spl6_13 ),
inference(sat_conversion,[],[f291]) ).
cnf(s9,plain,
( ~ spl6_12
| ~ spl6_14
| spl6_15 ),
inference(sat_conversion,[],[f307]) ).
cnf(s10,plain,
( spl6_9
| ~ spl6_12 ),
inference(sat_conversion,[],[f308]) ).
cnf(s21,plain,
spl6_14,
inference(sat_conversion,[],[f498]) ).
cnf(s73,plain,
( spl6_7
| ~ spl6_13 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s74,plain,
( spl6_8
| ~ spl6_9 ),
inference(sat_conversion,[],[f1556]) ).
cnf(s75,plain,
( spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f1570]) ).
cnf(s111,plain,
( ~ spl6_14
| ~ spl6_15
| spl6_100
| spl6_101 ),
inference(sat_conversion,[],[f2362]) ).
cnf(s112,plain,
( ~ spl6_13
| ~ spl6_14
| spl6_102
| spl6_103 ),
inference(sat_conversion,[],[f2371]) ).
cnf(s124,plain,
( ~ spl6_100
| spl6_101
| spl6_117 ),
inference(sat_conversion,[],[f2478]) ).
cnf(s126,plain,
( ~ spl6_14
| ~ spl6_101 ),
inference(sat_conversion,[],[f2489]) ).
cnf(s128,plain,
( ~ spl6_8
| ~ spl6_9
| ~ spl6_117 ),
inference(sat_conversion,[],[f2512]) ).
cnf(s137,plain,
( ~ spl6_102
| spl6_103
| spl6_127 ),
inference(sat_conversion,[],[f2608]) ).
cnf(s139,plain,
( ~ spl6_14
| ~ spl6_103 ),
inference(sat_conversion,[],[f2624]) ).
cnf(s140,plain,
( ~ spl6_6
| ~ spl6_7
| ~ spl6_127 ),
inference(sat_conversion,[],[f2643]) ).
cnf(s147,plain,
~ spl6_103,
inference(rat,[],[s139,s21]) ).
cnf(s148,plain,
~ spl6_101,
inference(rat,[],[s126,s21]) ).
cnf(s150,plain,
( ~ spl6_12
| spl6_15 ),
inference(rat,[],[s9,s21]) ).
cnf(s161,plain,
~ spl6_12,
inference(rat,[],[s124,s128,s111,s74,s150,s10,s148,s21]) ).
cnf(s162,plain,
spl6_13,
inference(rat,[],[s7,s161]) ).
cnf(s163,plain,
spl6_102,
inference(rat,[],[s112,s147,s21,s162]) ).
cnf(s164,plain,
spl6_7,
inference(rat,[],[s73,s162]) ).
cnf(s167,plain,
spl6_127,
inference(rat,[],[s137,s147,s163]) ).
cnf(s171,plain,
~ spl6_6,
inference(rat,[],[s140,s167,s164]) ).
cnf(s172,plain,
$false,
inference(rat,[],[s75,s164,s171]) ).
fof(f2644,plain,
$false,
inference(avatar_sat_refutation,[],[s172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET521-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 02:03:54 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/2.18 % (1801692)Input is clausal, will run a generic CNF schedule.
% 9.43/2.18 % (1801703)dis-21_1_sil=8000:lcm=predicate:random_seed=65180395: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)
% 9.43/2.18 % (1801703)Instruction limit reached!
% 9.43/2.18 % (1801703)------------------------------
% 9.43/2.18 % (1801703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801703)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801703)Termination reason: Instruction limit
% 9.43/2.18 % (1801703)Termination phase: Saturation
% 9.43/2.18 % (1801703)Time elapsed: 0.042 s
% 9.43/2.18 % (1801703)Peak memory usage: 89 MB
% 9.43/2.18 % (1801703)Instructions burned: 118 (million)
% 9.43/2.18 % (1801699)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2491048638:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.43/2.18 % (1801700)lrs+10_1_sil=8000:sp=occurrence:random_seed=811790237:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.43/2.18 % (1801701)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2230857715:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.43/2.18 % (1801697)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=4075645442:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.43/2.18 % (1801698)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=948155582:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.43/2.18 % (1801702)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1716009687:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.43/2.18 % (1801700)Instruction limit reached!
% 9.43/2.18 % (1801700)------------------------------
% 9.43/2.18 % (1801700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801700)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801700)Termination reason: Instruction limit
% 9.43/2.18 % (1801700)Termination phase: Saturation
% 9.43/2.18 % (1801700)Time elapsed: 0.075 s
% 9.43/2.18 % (1801700)Peak memory usage: 89 MB
% 9.43/2.18 % (1801700)Instructions burned: 108 (million)
% 9.43/2.18 % (1801701)Instruction limit reached!
% 9.43/2.18 % (1801701)------------------------------
% 9.43/2.18 % (1801701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801701)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801701)Termination reason: Instruction limit
% 9.43/2.18 % (1801701)Termination phase: Saturation
% 9.43/2.18 % (1801701)Time elapsed: 0.087 s
% 9.43/2.18 % (1801701)Peak memory usage: 89 MB
% 9.43/2.18 % (1801701)Instructions burned: 115 (million)
% 9.43/2.18 % (1801711)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=1115723234:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.43/2.18 % (1801711)Refutation not found, incomplete strategy
% 9.43/2.18 % (1801711)------------------------------
% 9.43/2.18 % (1801711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801711)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801711)Termination reason: Refutation not found, incomplete strategy
% 9.43/2.18 % (1801711)Time elapsed: 0.009 s
% 9.43/2.18 % (1801711)Peak memory usage: 88 MB
% 9.43/2.18 % (1801711)Instructions burned: 22 (million)
% 9.43/2.18 % (1801702)Instruction limit reached!
% 9.43/2.18 % (1801702)------------------------------
% 9.43/2.18 % (1801702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801702)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801702)Termination reason: Instruction limit
% 9.43/2.18 % (1801702)Termination phase: Saturation
% 9.43/2.18 % (1801702)Time elapsed: 0.133 s
% 9.43/2.18 % (1801702)Peak memory usage: 90 MB
% 9.43/2.18 % (1801702)Instructions burned: 181 (million)
% 9.43/2.18 % (1801712)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1390588916: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)
% 9.43/2.18 % (1801713)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4073008848:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.43/2.18 % (1801711)------------------------------
% 9.43/2.18 % (1801711)------------------------------
% 9.43/2.18 % (1801715)lrs+10_64_to=lpo:sil=8000:random_seed=2989980339:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.43/2.18 % (1801712)Instruction limit reached!
% 9.43/2.18 % (1801712)------------------------------
% 9.43/2.18 % (1801712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801712)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801712)Termination reason: Instruction limit
% 9.43/2.18 % (1801712)Termination phase: Saturation
% 9.43/2.18 % (1801712)Time elapsed: 0.090 s
% 9.43/2.18 % (1801712)Peak memory usage: 91 MB
% 9.43/2.18 % (1801712)Instructions burned: 190 (million)
% 9.43/2.18 % (1801715)Instruction limit reached!
% 9.43/2.18 % (1801715)------------------------------
% 9.43/2.18 % (1801715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801715)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801715)Termination reason: Instruction limit
% 9.43/2.18 % (1801715)Termination phase: Saturation
% 9.43/2.18 % (1801715)Time elapsed: 0.081 s
% 9.43/2.18 % (1801715)Peak memory usage: 90 MB
% 9.43/2.18 % (1801715)Instructions burned: 127 (million)
% 9.43/2.18 % (1801713)Instruction limit reached!
% 9.43/2.18 % (1801713)------------------------------
% 9.43/2.18 % (1801713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801713)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801713)Termination reason: Instruction limit
% 9.43/2.18 % (1801713)Termination phase: Saturation
% 9.43/2.18 % (1801713)Time elapsed: 0.133 s
% 9.43/2.18 % (1801713)Peak memory usage: 90 MB
% 9.43/2.18 % (1801713)Instructions burned: 221 (million)
% 9.43/2.18 % (1801718)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1588388761:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.43/2.18 % (1801718)Instruction limit reached!
% 9.43/2.18 % (1801718)------------------------------
% 9.43/2.18 % (1801718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801718)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801718)Termination reason: Instruction limit
% 9.43/2.18 % (1801718)Termination phase: Saturation
% 9.43/2.18 % (1801718)Time elapsed: 0.065 s
% 9.43/2.18 % (1801718)Peak memory usage: 90 MB
% 9.43/2.18 % (1801718)Instructions burned: 195 (million)
% 9.43/2.18 % (1801720)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=694228298:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.43/2.18 % (1801721)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=181360999:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.43/2.18 % (1801722)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=3449883074:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 9.43/2.18 % (1801724)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2964619304:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.43/2.18 % (1801722)Instruction limit reached!
% 9.43/2.18 % (1801722)------------------------------
% 9.43/2.18 % (1801722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801722)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801722)Termination reason: Instruction limit
% 9.43/2.18 % (1801722)Termination phase: Saturation
% 9.43/2.18 % (1801722)Time elapsed: 0.050 s
% 9.43/2.18 % (1801722)Peak memory usage: 91 MB
% 9.43/2.18 % (1801722)Instructions burned: 106 (million)
% 9.43/2.18 % (1801720)Instruction limit reached!
% 9.43/2.18 % (1801720)------------------------------
% 9.43/2.18 % (1801720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801720)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801720)Termination reason: Instruction limit
% 9.43/2.18 % (1801720)Termination phase: Saturation
% 9.43/2.18 % (1801720)Time elapsed: 0.109 s
% 9.43/2.18 % (1801720)Peak memory usage: 91 MB
% 9.43/2.18 % (1801720)Instructions burned: 157 (million)
% 9.43/2.18 % (1801724)Instruction limit reached!
% 9.43/2.18 % (1801724)------------------------------
% 9.43/2.18 % (1801724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801724)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801724)Termination reason: Instruction limit
% 9.43/2.18 % (1801724)Termination phase: Saturation
% 9.43/2.18 % (1801724)Time elapsed: 0.041 s
% 9.43/2.18 % (1801724)Peak memory usage: 89 MB
% 9.43/2.18 % (1801724)Instructions burned: 109 (million)
% 9.43/2.18 % (1801731)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1529569857:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 9.43/2.18 % (1801730)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3378929864:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.43/2.18 % (1801729)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1768902802:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.43/2.18 % (1801731)Instruction limit reached!
% 9.43/2.18 % (1801731)------------------------------
% 9.43/2.18 % (1801731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801731)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801731)Termination reason: Instruction limit
% 9.43/2.18 % (1801731)Termination phase: Saturation
% 9.43/2.18 % (1801731)Time elapsed: 0.053 s
% 9.43/2.18 % (1801731)Peak memory usage: 90 MB
% 9.43/2.18 % (1801731)Instructions burned: 135 (million)
% 9.43/2.18 % (1801697)First to succeed.
% 9.43/2.18 % (1801697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1801692"
% 9.43/2.18 % (1801729)Instruction limit reached!
% 9.43/2.18 % (1801729)------------------------------
% 9.43/2.18 % (1801729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801729)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801729)Termination reason: Instruction limit
% 9.43/2.18 % (1801729)Termination phase: Saturation
% 9.43/2.18 % (1801729)Time elapsed: 0.169 s
% 9.43/2.18 % (1801729)Peak memory usage: 90 MB
% 9.43/2.18 % (1801729)Instructions burned: 242 (million)
% 9.43/2.18 % (1801735)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1347021790:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 9.43/2.18 % (1801735)Instruction limit reached!
% 9.43/2.18 % (1801735)------------------------------
% 9.43/2.18 % (1801735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.18 % (1801735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.18 % (1801735)CaDiCaL version: 2.1.3
% 9.43/2.18 % (1801735)Termination reason: Instruction limit
% 9.43/2.18 % (1801735)Termination phase: Saturation
% 9.43/2.18 % (1801735)Time elapsed: 0.148 s
% 9.43/2.18 % (1801735)Peak memory usage: 95 MB
% 9.43/2.18 % (1801735)Instructions burned: 500 (million)
% 9.43/2.18 % (1801736)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2035343777:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 9.43/2.18 % (1801697)Refutation found. Thanks to Tanya!
% 9.43/2.18 % SZS status Unsatisfiable for theBenchmark
% 9.43/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 9.80/2.27 % (1801697)------------------------------
% 9.80/2.27 % (1801697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.80/2.27 % (1801697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.80/2.27 % (1801697)CaDiCaL version: 2.1.3
% 9.80/2.27 % (1801697)Termination reason: Refutation
% 9.80/2.27 % (1801697)Time elapsed: 0.886 s
% 9.80/2.27 % (1801697)Peak memory usage: 131 MB
% 9.80/2.27 % (1801697)Instructions burned: 1323 (million)
% 9.80/2.27 % (1801697)------------------------------
% 9.80/2.27 % (1801697)------------------------------
% 9.80/2.27 % (1801692)Success in time 1.325 s
% 9.80/2.27 % Vampire exiting
%------------------------------------------------------------------------------