%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET355-6 : 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 : n011.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 12:40:50 PM UTC 2026
% Result : Unsatisfiable 8.72s 2.10s
% Output : Refutation 9.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 26
% Syntax : Number of formulae : 98 ( 32 unt; 6 def)
% Number of atoms : 242 ( 29 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 276 ( 132 ~; 141 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 132 ( 0 sgn 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(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(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(f20,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_relation3) ).
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(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
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(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(f54,axiom,
! [X0] : domain_of(restrict(element_relation,universal_class,X0)) = sum_class(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_class_definition) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_of_union_1) ).
fof(f123,negated_conjecture,
~ subclass(x,sum_class(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_of_union_2) ).
fof(f124,plain,
! [X0] : sum_class(X0) = domain_of(intersection(element_relation,cross_product(universal_class,X0))),
inference(definition_unfolding,[],[f54,f28]) ).
fof(f128,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(f139,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,f128]) ).
fof(f142,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(universal_class,universal_class))
| ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation) ),
inference(definition_unfolding,[],[f20,f128,f128]) ).
fof(f145,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(f186,plain,
~ subclass(x,domain_of(intersection(element_relation,cross_product(universal_class,y)))),
inference(definition_unfolding,[],[f123,f124]) ).
fof(f191,definition,
sF0 = cross_product(universal_class,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f192,plain,
cross_product(universal_class,y) = sF0,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF1 = intersection(element_relation,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f194,plain,
intersection(element_relation,sF0) = sF1,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF2 = domain_of(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f196,plain,
domain_of(sF1) = sF2,
inference(reorient_equations,[],[f195]) ).
fof(f197,plain,
~ subclass(x,sF2),
inference(definition_folding,[],[f186,f196,f194,f192]) ).
fof(f200,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f202,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f209,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,sF1)
| ~ member(X0,element_relation) ),
inference(superposition,[],[f23,f194]) ).
fof(f211,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,y)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f139,f192]) ).
fof(f212,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),element_relation)
| ~ member(X1,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF1)
| ~ member(X0,y) ),
inference(resolution,[],[f211,f209]) ).
fof(f213,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X0,X1),X2)
| member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0) ),
inference(resolution,[],[f1,f23]) ).
fof(f214,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f217,plain,
! [X0] :
( ~ subclass(y,X0)
| member(x,X0) ),
inference(resolution,[],[f1,f122]) ).
fof(f218,plain,
member(x,universal_class),
inference(resolution,[],[f217,f4]) ).
fof(f220,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X1,domain_of(X0)),universal_class)
| null_class = intersection(X0,cross_product(unordered_pair(not_subclass_element(X1,domain_of(X0)),not_subclass_element(X1,domain_of(X0))),universal_class))
| subclass(X1,domain_of(X0)) ),
inference(resolution,[],[f145,f3]) ).
fof(f321,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f200,f3]) ).
fof(f335,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f346,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f202,f3]) ).
fof(f360,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f213,f4]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),X2)
| member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f417,f2]) ).
fof(f436,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f425,f2]) ).
fof(f445,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f436]) ).
fof(f504,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF2),universal_class)
| null_class = intersection(sF1,cross_product(unordered_pair(not_subclass_element(X0,sF2),not_subclass_element(X0,sF2)),universal_class))
| subclass(X0,sF2) ),
inference(superposition,[],[f220,f196]) ).
fof(f510,plain,
! [X0] :
( subclass(X0,sF2)
| null_class = intersection(sF1,cross_product(unordered_pair(not_subclass_element(X0,sF2),not_subclass_element(X0,sF2)),universal_class)) ),
inference(forward_subsumption_resolution,[],[f504,f445]) ).
fof(f570,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f335,f70]) ).
fof(f706,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),element_relation)
| ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f142,f139]) ).
fof(f715,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,y) ),
inference(resolution,[],[f706,f212]) ).
fof(f719,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X1,y) ),
inference(duplicate_literal_removal,[],[f715]) ).
fof(f744,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| null_class = X0 ),
inference(resolution,[],[f7,f570]) ).
fof(f745,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f744]) ).
fof(f754,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f745,f335]) ).
fof(f1188,plain,
! [X0] : subclass(null_class,X0),
inference(superposition,[],[f360,f754]) ).
fof(f1366,plain,
null_class = intersection(sF1,cross_product(unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)),universal_class)),
inference(resolution,[],[f510,f197]) ).
fof(f1372,plain,
! [X0] :
( ~ member(X0,cross_product(unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)),universal_class))
| member(X0,null_class)
| ~ member(X0,sF1) ),
inference(superposition,[],[f23,f1366]) ).
fof(f1393,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2))) ),
inference(resolution,[],[f1372,f139]) ).
fof(f1420,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X1,universal_class)
| ~ member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X1,y) ),
inference(resolution,[],[f1393,f719]) ).
fof(f1424,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X0,universal_class)
| ~ member(X0,X1)
| ~ member(X1,y) ),
inference(duplicate_literal_removal,[],[f1420]) ).
fof(f1425,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X0,X1)
| ~ member(X1,y) ),
inference(forward_subsumption_resolution,[],[f1424,f417]) ).
fof(f1429,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X1,X0)
| ~ member(X0,y)
| ~ subclass(null_class,X2)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X2) ),
inference(resolution,[],[f1425,f1]) ).
fof(f1431,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X2)
| ~ member(X1,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X1,X0)
| ~ member(X0,y)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f1429,f1188]) ).
fof(f1465,definition,
( spl3_39
<=> ! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X1,universal_class)
| ~ member(X1,y)
| ~ member(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_39])],[avatar_definition]) ).
fof(f1466,plain,
( ! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X1,universal_class)
| ~ member(X1,y)
| ~ member(X0,X1) )
| ~ spl3_39 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1484,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X0,X1)
| ~ member(X1,y)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2) ),
inference(resolution,[],[f1431,f24]) ).
fof(f1496,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(not_subclass_element(x,sF2),not_subclass_element(x,sF2)))
| ~ member(X0,X1)
| ~ member(X1,y)
| ~ member(X1,universal_class) ),
inference(forward_subsumption_resolution,[],[f1484,f1431]) ).
fof(f1497,plain,
spl3_39,
inference(avatar_split_clause,[],[f1496,f1465]) ).
fof(f1498,plain,
( ! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,y)
| ~ member(not_subclass_element(x,sF2),X0)
| ~ member(not_subclass_element(x,sF2),universal_class) )
| ~ spl3_39 ),
inference(resolution,[],[f1466,f9]) ).
fof(f1528,definition,
( spl3_44
<=> member(not_subclass_element(x,sF2),universal_class) ),
introduced(definition,[new_symbols(definition,[spl3_44])],[avatar_definition]) ).
fof(f1530,plain,
( ~ member(not_subclass_element(x,sF2),universal_class)
| spl3_44 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1532,definition,
( spl3_45
<=> ! [X0] :
( ~ member(X0,universal_class)
| ~ member(not_subclass_element(x,sF2),X0)
| ~ member(X0,y) ) ),
introduced(definition,[new_symbols(definition,[spl3_45])],[avatar_definition]) ).
fof(f1533,plain,
( ! [X0] :
( ~ member(not_subclass_element(x,sF2),X0)
| ~ member(X0,universal_class)
| ~ member(X0,y) )
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1535,plain,
( ~ spl3_44
| spl3_45
| ~ spl3_39 ),
inference(avatar_split_clause,[],[f1498,f1465,f1532,f1528]) ).
fof(f1569,plain,
( ~ subclass(x,universal_class)
| subclass(x,sF2)
| spl3_44 ),
inference(resolution,[],[f1530,f214]) ).
fof(f1570,plain,
( subclass(x,sF2)
| spl3_44 ),
inference(forward_subsumption_resolution,[],[f1569,f4]) ).
fof(f1573,plain,
( $false
| spl3_44 ),
inference(forward_subsumption_resolution,[],[f1570,f197]) ).
fof(f1574,plain,
spl3_44,
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1575,plain,
( ~ member(x,universal_class)
| ~ member(x,y)
| subclass(x,sF2)
| ~ spl3_45 ),
inference(resolution,[],[f1533,f2]) ).
fof(f1602,plain,
( ~ member(x,y)
| subclass(x,sF2)
| ~ spl3_45 ),
inference(forward_subsumption_resolution,[],[f1575,f218]) ).
fof(f1611,plain,
( subclass(x,sF2)
| ~ spl3_45 ),
inference(forward_subsumption_resolution,[],[f1602,f122]) ).
fof(f1612,plain,
( $false
| ~ spl3_45 ),
inference(forward_subsumption_resolution,[],[f1611,f197]) ).
fof(f1613,plain,
~ spl3_45,
inference(avatar_contradiction_clause,[],[f1612]) ).
cnf(s28,plain,
spl3_39,
inference(sat_conversion,[],[f1497]) ).
cnf(s32,plain,
( ~ spl3_39
| ~ spl3_44
| spl3_45 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s34,plain,
spl3_44,
inference(sat_conversion,[],[f1574]) ).
cnf(s37,plain,
~ spl3_45,
inference(sat_conversion,[],[f1613]) ).
cnf(s38,plain,
~ spl3_39,
inference(rat,[],[s32,s37,s34]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s28,s38]) ).
fof(f1614,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET355-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 01:34:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 8.72/2.10 % (2937159)Input is clausal, will run a generic CNF schedule.
% 8.72/2.10 % (2937173)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=685577880:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.72/2.10 % (2937173)Instruction limit reached!
% 8.72/2.10 % (2937173)------------------------------
% 8.72/2.10 % (2937173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937173)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937173)Termination reason: Instruction limit
% 8.72/2.10 % (2937173)Termination phase: Saturation
% 8.72/2.10 % (2937173)Time elapsed: 0.038 s
% 8.72/2.10 % (2937173)Peak memory usage: 89 MB
% 8.72/2.10 % (2937173)Instructions burned: 115 (million)
% 8.72/2.10 % (2937175)dis-21_1_sil=8000:lcm=predicate:random_seed=194296640: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)
% 8.72/2.10 % (2937174)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4192552465:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.72/2.10 % (2937171)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3443476656:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.72/2.10 % (2937170)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1019377714:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.72/2.10 % (2937169)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=3376067765:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.72/2.10 % (2937172)lrs+10_1_sil=8000:sp=occurrence:random_seed=878515391:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.72/2.10 % (2937175)Instruction limit reached!
% 8.72/2.10 % (2937175)------------------------------
% 8.72/2.10 % (2937175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937175)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937175)Termination reason: Instruction limit
% 8.72/2.10 % (2937175)Termination phase: Saturation
% 8.72/2.10 % (2937175)Time elapsed: 0.066 s
% 8.72/2.10 % (2937175)Peak memory usage: 89 MB
% 8.72/2.10 % (2937175)Instructions burned: 117 (million)
% 8.72/2.10 % (2937172)Instruction limit reached!
% 8.72/2.10 % (2937172)------------------------------
% 8.72/2.10 % (2937172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937172)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937172)Termination reason: Instruction limit
% 8.72/2.10 % (2937172)Termination phase: Saturation
% 8.72/2.10 % (2937172)Time elapsed: 0.075 s
% 8.72/2.10 % (2937172)Peak memory usage: 90 MB
% 8.72/2.10 % (2937172)Instructions burned: 108 (million)
% 8.72/2.10 % (2937211)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=2776126152:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.72/2.10 % (2937211)Refutation not found, incomplete strategy
% 8.72/2.10 % (2937211)------------------------------
% 8.72/2.10 % (2937211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937211)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937211)Termination reason: Refutation not found, incomplete strategy
% 8.72/2.10 % (2937211)Time elapsed: 0.001 s
% 8.72/2.10 % (2937211)Peak memory usage: 88 MB
% 8.72/2.10 % (2937211)Instructions burned: 2 (million)
% 8.72/2.10 % (2937174)Instruction limit reached!
% 8.72/2.10 % (2937174)------------------------------
% 8.72/2.10 % (2937174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937174)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937174)Termination reason: Instruction limit
% 8.72/2.10 % (2937174)Termination phase: Saturation
% 8.72/2.10 % (2937174)Time elapsed: 0.136 s
% 8.72/2.10 % (2937174)Peak memory usage: 90 MB
% 8.72/2.10 % (2937174)Instructions burned: 181 (million)
% 8.72/2.10 % (2937213)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3594558611:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.72/2.10 % (2937212)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3095679239: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)
% 8.72/2.10 % (2937213)Refutation not found, incomplete strategy
% 8.72/2.10 % (2937213)------------------------------
% 8.72/2.10 % (2937213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937213)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937213)Termination reason: Refutation not found, incomplete strategy
% 8.72/2.10 % (2937213)Time elapsed: 0.004 s
% 8.72/2.10 % (2937213)Peak memory usage: 88 MB
% 8.72/2.10 % (2937213)Instructions burned: 4 (million)
% 8.72/2.10 % (2937211)------------------------------
% 8.72/2.10 % (2937211)------------------------------
% 8.72/2.10 % (2937215)lrs+10_64_to=lpo:sil=8000:random_seed=2683407525:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.72/2.10 % (2937212)Instruction limit reached!
% 8.72/2.10 % (2937212)------------------------------
% 8.72/2.10 % (2937212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937212)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937212)Termination reason: Instruction limit
% 8.72/2.10 % (2937212)Termination phase: Saturation
% 8.72/2.10 % (2937212)Time elapsed: 0.091 s
% 8.72/2.10 % (2937212)Peak memory usage: 90 MB
% 8.72/2.10 % (2937212)Instructions burned: 190 (million)
% 8.72/2.10 % (2937215)Instruction limit reached!
% 8.72/2.10 % (2937215)------------------------------
% 8.72/2.10 % (2937215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937215)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937215)Termination reason: Instruction limit
% 8.72/2.10 % (2937215)Termination phase: Saturation
% 8.72/2.10 % (2937215)Time elapsed: 0.077 s
% 8.72/2.10 % (2937215)Peak memory usage: 90 MB
% 8.72/2.10 % (2937215)Instructions burned: 127 (million)
% 8.72/2.10 % (2937245)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1960911688:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.72/2.10 % (2937245)Instruction limit reached!
% 8.72/2.10 % (2937245)------------------------------
% 8.72/2.10 % (2937245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937245)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937245)Termination reason: Instruction limit
% 8.72/2.10 % (2937245)Termination phase: Saturation
% 8.72/2.10 % (2937245)Time elapsed: 0.071 s
% 8.72/2.10 % (2937245)Peak memory usage: 90 MB
% 8.72/2.10 % (2937245)Instructions burned: 196 (million)
% 8.72/2.10 % (2937213)------------------------------
% 8.72/2.10 % (2937213)------------------------------
% 8.72/2.10 % (2937260)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3952002693:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.72/2.10 % (2937274)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2936662153:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.72/2.10 % (2937280)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=151792610:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.72/2.10 % (2937260)Instruction limit reached!
% 8.72/2.10 % (2937260)------------------------------
% 8.72/2.10 % (2937260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937260)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937260)Termination reason: Instruction limit
% 8.72/2.10 % (2937260)Termination phase: Saturation
% 8.72/2.10 % (2937260)Time elapsed: 0.110 s
% 8.72/2.10 % (2937260)Peak memory usage: 91 MB
% 8.72/2.10 % (2937260)Instructions burned: 158 (million)
% 8.72/2.10 % (2937280)Instruction limit reached!
% 8.72/2.10 % (2937280)------------------------------
% 8.72/2.10 % (2937280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937280)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937280)Termination reason: Instruction limit
% 8.72/2.10 % (2937280)Termination phase: Saturation
% 8.72/2.10 % (2937280)Time elapsed: 0.036 s
% 8.72/2.10 % (2937280)Peak memory usage: 90 MB
% 8.72/2.10 % (2937280)Instructions burned: 109 (million)
% 8.72/2.10 % (2937281)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2828876360:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.72/2.10 % (2937281)Instruction limit reached!
% 8.72/2.10 % (2937281)------------------------------
% 8.72/2.10 % (2937281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937281)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937281)Termination reason: Instruction limit
% 8.72/2.10 % (2937281)Termination phase: Saturation
% 8.72/2.10 % (2937281)Time elapsed: 0.074 s
% 8.72/2.10 % (2937281)Peak memory usage: 89 MB
% 8.72/2.10 % (2937281)Instructions burned: 108 (million)
% 8.72/2.10 % (2937286)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3618035152:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.72/2.10 % (2937285)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1376020990:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.72/2.10 % (2937169)First to succeed.
% 8.72/2.10 % (2937169)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2937159"
% 8.72/2.10 % (2937288)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3815713115:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 8.72/2.10 % (2937288)Refutation not found, incomplete strategy
% 8.72/2.10 % (2937288)------------------------------
% 8.72/2.10 % (2937288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937288)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937288)Termination reason: Refutation not found, incomplete strategy
% 8.72/2.10 % (2937288)Time elapsed: 0.007 s
% 8.72/2.10 % (2937288)Peak memory usage: 88 MB
% 8.72/2.10 % (2937288)Instructions burned: 8 (million)
% 8.72/2.10 % (2937285)Instruction limit reached!
% 8.72/2.10 % (2937285)------------------------------
% 8.72/2.10 % (2937285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.10 % (2937285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.10 % (2937285)CaDiCaL version: 2.1.3
% 8.72/2.10 % (2937285)Termination reason: Instruction limit
% 8.72/2.10 % (2937285)Termination phase: Saturation
% 8.72/2.10 % (2937285)Time elapsed: 0.162 s
% 8.72/2.10 % (2937285)Peak memory usage: 90 MB
% 8.72/2.10 % (2937285)Instructions burned: 242 (million)
% 8.72/2.10 % (2937171)Also succeeded, but the first one will report.
% 8.72/2.10 % (2937169)Refutation found. Thanks to Tanya!
% 8.72/2.10 % SZS status Unsatisfiable for theBenchmark
% 8.72/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 9.35/2.29 % (2937169)------------------------------
% 9.35/2.29 % (2937169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.29 % (2937169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.29 % (2937169)CaDiCaL version: 2.1.3
% 9.35/2.29 % (2937169)Termination reason: Refutation
% 9.35/2.29 % (2937169)Time elapsed: 0.809 s
% 9.35/2.29 % (2937169)Peak memory usage: 130 MB
% 9.35/2.29 % (2937169)Instructions burned: 1203 (million)
% 9.35/2.29 % (2937169)------------------------------
% 9.35/2.29 % (2937169)------------------------------
% 9.35/2.29 % (2937159)Success in time 1.248 s
% 9.35/2.29 % Vampire exiting
%------------------------------------------------------------------------------