%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET220-6 : 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 : n010.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 12:40:33 PM UTC 2026
% Result : Unsatisfiable 4.78s 1.91s
% Output : Refutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 34
% Syntax : Number of formulae : 162 ( 20 unt; 21 def)
% Number of atoms : 382 ( 31 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 413 ( 193 ~; 204 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 17 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(f122,negated_conjecture,
intersection(cross_product(x,z),cross_product(y,z)) != cross_product(intersection(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_over_intersection1_1) ).
fof(f127,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(f136,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,f127]) ).
fof(f137,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,f127]) ).
fof(f138,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,f127]) ).
fof(f139,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,f127]) ).
fof(f189,definition,
sF0 = cross_product(x,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f190,plain,
cross_product(x,z) = sF0,
inference(reorient_equations,[],[f189]) ).
fof(f191,definition,
sF1 = cross_product(y,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f192,plain,
cross_product(y,z) = sF1,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF2 = intersection(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f194,plain,
intersection(sF0,sF1) = sF2,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF3 = intersection(x,y),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f196,plain,
intersection(x,y) = sF3,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF4 = cross_product(sF3,z),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f198,plain,
cross_product(sF3,z) = sF4,
inference(reorient_equations,[],[f197]) ).
fof(f199,plain,
sF2 != sF4,
inference(definition_folding,[],[f122,f198,f196,f194,f192,f190]) ).
fof(f200,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF0) ),
inference(superposition,[],[f21,f194]) ).
fof(f201,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,x) ),
inference(superposition,[],[f21,f196]) ).
fof(f202,plain,
! [X0] :
( ~ member(X0,sF2)
| member(X0,sF1) ),
inference(superposition,[],[f22,f194]) ).
fof(f203,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,y) ),
inference(superposition,[],[f22,f196]) ).
fof(f204,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X0,sF3) ),
inference(superposition,[],[f136,f198]) ).
fof(f205,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| member(X0,y) ),
inference(superposition,[],[f136,f192]) ).
fof(f207,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| member(X1,z) ),
inference(superposition,[],[f137,f198]) ).
fof(f209,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| member(X1,z) ),
inference(superposition,[],[f137,f190]) ).
fof(f210,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,[],[f139,f198]) ).
fof(f212,plain,
! [X0] :
( ~ member(X0,sF0)
| unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
inference(superposition,[],[f139,f190]) ).
fof(f215,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,sF2)
| ~ member(X0,sF0) ),
inference(superposition,[],[f23,f194]) ).
fof(f216,plain,
! [X0] :
( ~ member(X0,y)
| member(X0,sF3)
| ~ member(X0,x) ),
inference(superposition,[],[f23,f196]) ).
fof(f223,plain,
! [X0] :
( member(not_subclass_element(sF2,X0),sF0)
| subclass(sF2,X0) ),
inference(resolution,[],[f2,f200]) ).
fof(f224,plain,
! [X0] :
( member(not_subclass_element(sF2,X0),sF1)
| subclass(sF2,X0) ),
inference(resolution,[],[f2,f202]) ).
fof(f239,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF4)
| ~ member(X1,z)
| ~ member(X0,sF3) ),
inference(superposition,[],[f138,f198]) ).
fof(f240,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
| ~ member(X1,z)
| ~ member(X0,y) ),
inference(superposition,[],[f138,f192]) ).
fof(f241,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
| ~ member(X1,z)
| ~ member(X0,x) ),
inference(superposition,[],[f138,f190]) ).
fof(f329,plain,
! [X0,X1] :
( ~ member(X0,z)
| ~ member(X1,y)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF0) ),
inference(resolution,[],[f240,f215]) ).
fof(f331,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF0)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),sF2)
| ~ member(X1,y) ),
inference(forward_subsumption_resolution,[],[f329,f209]) ).
fof(f2127,definition,
( spl5_40
<=> not_subclass_element(sF4,sF2) = unordered_pair(unordered_pair(first(not_subclass_element(sF4,sF2)),first(not_subclass_element(sF4,sF2))),unordered_pair(first(not_subclass_element(sF4,sF2)),unordered_pair(second(not_subclass_element(sF4,sF2)),second(not_subclass_element(sF4,sF2))))) ),
introduced(definition,[new_symbols(definition,[spl5_40])],[avatar_definition]) ).
fof(f2128,plain,
( not_subclass_element(sF4,sF2) != unordered_pair(unordered_pair(first(not_subclass_element(sF4,sF2)),first(not_subclass_element(sF4,sF2))),unordered_pair(first(not_subclass_element(sF4,sF2)),unordered_pair(second(not_subclass_element(sF4,sF2)),second(not_subclass_element(sF4,sF2)))))
| spl5_40 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2129,plain,
( not_subclass_element(sF4,sF2) = unordered_pair(unordered_pair(first(not_subclass_element(sF4,sF2)),first(not_subclass_element(sF4,sF2))),unordered_pair(first(not_subclass_element(sF4,sF2)),unordered_pair(second(not_subclass_element(sF4,sF2)),second(not_subclass_element(sF4,sF2)))))
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2131,definition,
( spl5_41
<=> not_subclass_element(sF2,sF4) = unordered_pair(unordered_pair(first(not_subclass_element(sF2,sF4)),first(not_subclass_element(sF2,sF4))),unordered_pair(first(not_subclass_element(sF2,sF4)),unordered_pair(second(not_subclass_element(sF2,sF4)),second(not_subclass_element(sF2,sF4))))) ),
introduced(definition,[new_symbols(definition,[spl5_41])],[avatar_definition]) ).
fof(f2132,plain,
( not_subclass_element(sF2,sF4) != unordered_pair(unordered_pair(first(not_subclass_element(sF2,sF4)),first(not_subclass_element(sF2,sF4))),unordered_pair(first(not_subclass_element(sF2,sF4)),unordered_pair(second(not_subclass_element(sF2,sF4)),second(not_subclass_element(sF2,sF4)))))
| spl5_41 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f2133,plain,
( not_subclass_element(sF2,sF4) = unordered_pair(unordered_pair(first(not_subclass_element(sF2,sF4)),first(not_subclass_element(sF2,sF4))),unordered_pair(first(not_subclass_element(sF2,sF4)),unordered_pair(second(not_subclass_element(sF2,sF4)),second(not_subclass_element(sF2,sF4)))))
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f2157,plain,
( ~ member(not_subclass_element(sF4,sF2),sF4)
| member(first(not_subclass_element(sF4,sF2)),sF3)
| ~ spl5_40 ),
inference(superposition,[],[f204,f2129]) ).
fof(f2160,plain,
( ~ member(not_subclass_element(sF4,sF2),sF4)
| member(second(not_subclass_element(sF4,sF2)),z)
| ~ spl5_40 ),
inference(superposition,[],[f207,f2129]) ).
fof(f2165,plain,
( member(not_subclass_element(sF4,sF2),sF0)
| ~ member(second(not_subclass_element(sF4,sF2)),z)
| ~ member(first(not_subclass_element(sF4,sF2)),x)
| ~ spl5_40 ),
inference(superposition,[],[f241,f2129]) ).
fof(f2166,plain,
( ~ member(not_subclass_element(sF4,sF2),sF0)
| member(not_subclass_element(sF4,sF2),sF2)
| ~ member(first(not_subclass_element(sF4,sF2)),y)
| ~ spl5_40 ),
inference(superposition,[],[f331,f2129]) ).
fof(f2170,definition,
( spl5_42
<=> member(first(not_subclass_element(sF4,sF2)),x) ),
introduced(definition,[new_symbols(definition,[spl5_42])],[avatar_definition]) ).
fof(f2172,plain,
( ~ member(first(not_subclass_element(sF4,sF2)),x)
| spl5_42 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f2174,definition,
( spl5_43
<=> member(second(not_subclass_element(sF4,sF2)),z) ),
introduced(definition,[new_symbols(definition,[spl5_43])],[avatar_definition]) ).
fof(f2178,definition,
( spl5_44
<=> member(first(not_subclass_element(sF4,sF2)),y) ),
introduced(definition,[new_symbols(definition,[spl5_44])],[avatar_definition]) ).
fof(f2180,plain,
( ~ member(first(not_subclass_element(sF4,sF2)),y)
| spl5_44 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f2182,definition,
( spl5_45
<=> member(not_subclass_element(sF4,sF2),sF2) ),
introduced(definition,[new_symbols(definition,[spl5_45])],[avatar_definition]) ).
fof(f2184,plain,
( member(not_subclass_element(sF4,sF2),sF2)
| ~ spl5_45 ),
inference(avatar_component_clause,[],[f2182]) ).
fof(f2187,definition,
( spl5_46
<=> member(not_subclass_element(sF4,sF2),sF0) ),
introduced(definition,[new_symbols(definition,[spl5_46])],[avatar_definition]) ).
fof(f2190,plain,
( ~ spl5_44
| spl5_45
| ~ spl5_46
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f2166,f2127,f2187,f2182,f2178]) ).
fof(f2191,plain,
( ~ spl5_42
| ~ spl5_43
| spl5_46
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f2165,f2127,f2187,f2174,f2170]) ).
fof(f2201,definition,
( spl5_48
<=> member(not_subclass_element(sF4,sF2),sF4) ),
introduced(definition,[new_symbols(definition,[spl5_48])],[avatar_definition]) ).
fof(f2202,plain,
( member(not_subclass_element(sF4,sF2),sF4)
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f2203,plain,
( ~ member(not_subclass_element(sF4,sF2),sF4)
| spl5_48 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f2204,plain,
( spl5_43
| ~ spl5_48
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f2160,f2127,f2201,f2174]) ).
fof(f2212,definition,
( spl5_49
<=> subclass(sF4,sF2) ),
introduced(definition,[new_symbols(definition,[spl5_49])],[avatar_definition]) ).
fof(f2213,plain,
( ~ subclass(sF4,sF2)
| spl5_49 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2214,plain,
( subclass(sF4,sF2)
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2228,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(sF2,sF4),cross_product(X0,X1))
| member(first(not_subclass_element(sF2,sF4)),X0) )
| ~ spl5_41 ),
inference(superposition,[],[f136,f2133]) ).
fof(f2229,plain,
( ! [X0,X1] :
( ~ member(not_subclass_element(sF2,sF4),cross_product(X0,X1))
| member(second(not_subclass_element(sF2,sF4)),X1) )
| ~ spl5_41 ),
inference(superposition,[],[f137,f2133]) ).
fof(f2232,plain,
( ~ member(not_subclass_element(sF2,sF4),sF1)
| member(first(not_subclass_element(sF2,sF4)),y)
| ~ spl5_41 ),
inference(superposition,[],[f205,f2133]) ).
fof(f2237,plain,
( member(not_subclass_element(sF2,sF4),sF4)
| ~ member(second(not_subclass_element(sF2,sF4)),z)
| ~ member(first(not_subclass_element(sF2,sF4)),sF3)
| ~ spl5_41 ),
inference(superposition,[],[f239,f2133]) ).
fof(f2244,definition,
( spl5_52
<=> member(first(not_subclass_element(sF2,sF4)),x) ),
introduced(definition,[new_symbols(definition,[spl5_52])],[avatar_definition]) ).
fof(f2245,plain,
( member(first(not_subclass_element(sF2,sF4)),x)
| ~ spl5_52 ),
inference(avatar_component_clause,[],[f2244]) ).
fof(f2248,definition,
( spl5_53
<=> member(second(not_subclass_element(sF2,sF4)),z) ),
introduced(definition,[new_symbols(definition,[spl5_53])],[avatar_definition]) ).
fof(f2249,plain,
( member(second(not_subclass_element(sF2,sF4)),z)
| ~ spl5_53 ),
inference(avatar_component_clause,[],[f2248]) ).
fof(f2252,definition,
( spl5_54
<=> member(first(not_subclass_element(sF2,sF4)),y) ),
introduced(definition,[new_symbols(definition,[spl5_54])],[avatar_definition]) ).
fof(f2253,plain,
( member(first(not_subclass_element(sF2,sF4)),y)
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2261,definition,
( spl5_56
<=> member(not_subclass_element(sF2,sF4),sF0) ),
introduced(definition,[new_symbols(definition,[spl5_56])],[avatar_definition]) ).
fof(f2262,plain,
( member(not_subclass_element(sF2,sF4),sF0)
| ~ spl5_56 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f2263,plain,
( ~ member(not_subclass_element(sF2,sF4),sF0)
| spl5_56 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f2267,definition,
( spl5_57
<=> member(not_subclass_element(sF2,sF4),sF1) ),
introduced(definition,[new_symbols(definition,[spl5_57])],[avatar_definition]) ).
fof(f2268,plain,
( ~ member(not_subclass_element(sF2,sF4),sF1)
| spl5_57 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f2275,definition,
( spl5_58
<=> member(not_subclass_element(sF2,sF4),sF4) ),
introduced(definition,[new_symbols(definition,[spl5_58])],[avatar_definition]) ).
fof(f2276,plain,
( member(not_subclass_element(sF2,sF4),sF4)
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f2277,plain,
( ~ member(not_subclass_element(sF2,sF4),sF4)
| spl5_58 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f2280,plain,
( spl5_54
| ~ spl5_57
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f2232,f2131,f2267,f2252]) ).
fof(f2284,plain,
( subclass(sF2,sF4)
| spl5_56 ),
inference(resolution,[],[f2263,f223]) ).
fof(f2289,plain,
( ~ subclass(sF4,sF2)
| sF2 = sF4
| spl5_56 ),
inference(resolution,[],[f2284,f7]) ).
fof(f2290,plain,
( ~ subclass(sF4,sF2)
| spl5_56 ),
inference(forward_subsumption_resolution,[],[f2289,f199]) ).
fof(f2293,plain,
( ~ spl5_49
| spl5_56 ),
inference(avatar_split_clause,[],[f2290,f2261,f2212]) ).
fof(f2318,plain,
( ~ member(not_subclass_element(sF2,sF4),sF0)
| member(first(not_subclass_element(sF2,sF4)),x)
| ~ spl5_41 ),
inference(superposition,[],[f2228,f190]) ).
fof(f2322,plain,
( ~ member(not_subclass_element(sF2,sF4),sF0)
| member(second(not_subclass_element(sF2,sF4)),z)
| ~ spl5_41 ),
inference(superposition,[],[f2229,f190]) ).
fof(f2452,plain,
( ~ member(second(not_subclass_element(sF2,sF4)),z)
| ~ member(first(not_subclass_element(sF2,sF4)),sF3)
| ~ spl5_41
| spl5_58 ),
inference(forward_subsumption_resolution,[],[f2237,f2277]) ).
fof(f2460,definition,
( spl5_72
<=> subclass(sF2,sF4) ),
introduced(definition,[new_symbols(definition,[spl5_72])],[avatar_definition]) ).
fof(f2461,plain,
( ~ subclass(sF2,sF4)
| spl5_72 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f2462,plain,
( subclass(sF2,sF4)
| ~ spl5_72 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f2467,plain,
( spl5_52
| ~ spl5_56
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f2318,f2131,f2261,f2244]) ).
fof(f2472,plain,
( spl5_53
| ~ spl5_56
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f2322,f2131,f2261,f2248]) ).
fof(f2475,plain,
( ~ member(first(not_subclass_element(sF2,sF4)),sF3)
| ~ spl5_41
| ~ spl5_53
| spl5_58 ),
inference(forward_subsumption_resolution,[],[f2452,f2249]) ).
fof(f2478,plain,
( not_subclass_element(sF2,sF4) = unordered_pair(unordered_pair(first(not_subclass_element(sF2,sF4)),first(not_subclass_element(sF2,sF4))),unordered_pair(first(not_subclass_element(sF2,sF4)),unordered_pair(second(not_subclass_element(sF2,sF4)),second(not_subclass_element(sF2,sF4)))))
| ~ spl5_56 ),
inference(resolution,[],[f2262,f212]) ).
fof(f2481,plain,
( $false
| spl5_41
| ~ spl5_56 ),
inference(forward_subsumption_resolution,[],[f2478,f2132]) ).
fof(f2482,plain,
( spl5_41
| ~ spl5_56 ),
inference(avatar_contradiction_clause,[],[f2481]) ).
fof(f2563,plain,
( subclass(sF2,sF4)
| spl5_57 ),
inference(resolution,[],[f2268,f224]) ).
fof(f2565,plain,
( subclass(sF4,sF2)
| spl5_48 ),
inference(resolution,[],[f2203,f2]) ).
fof(f2572,plain,
( not_subclass_element(sF4,sF2) = unordered_pair(unordered_pair(first(not_subclass_element(sF4,sF2)),first(not_subclass_element(sF4,sF2))),unordered_pair(first(not_subclass_element(sF4,sF2)),unordered_pair(second(not_subclass_element(sF4,sF2)),second(not_subclass_element(sF4,sF2)))))
| ~ spl5_48 ),
inference(resolution,[],[f2202,f210]) ).
fof(f2575,plain,
( $false
| spl5_40
| ~ spl5_48 ),
inference(forward_subsumption_resolution,[],[f2572,f2128]) ).
fof(f2576,plain,
( spl5_40
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2575]) ).
fof(f2577,plain,
( member(first(not_subclass_element(sF4,sF2)),sF3)
| ~ spl5_40
| ~ spl5_48 ),
inference(forward_subsumption_resolution,[],[f2157,f2202]) ).
fof(f2601,plain,
( member(first(not_subclass_element(sF4,sF2)),y)
| ~ spl5_40
| ~ spl5_48 ),
inference(resolution,[],[f2577,f203]) ).
fof(f2602,plain,
( member(first(not_subclass_element(sF4,sF2)),x)
| ~ spl5_40
| ~ spl5_48 ),
inference(resolution,[],[f2577,f201]) ).
fof(f2605,plain,
( $false
| ~ spl5_40
| spl5_42
| ~ spl5_48 ),
inference(forward_subsumption_resolution,[],[f2602,f2172]) ).
fof(f2606,plain,
( ~ spl5_40
| spl5_42
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2605]) ).
fof(f2607,plain,
( $false
| ~ spl5_40
| spl5_44
| ~ spl5_48 ),
inference(forward_subsumption_resolution,[],[f2601,f2180]) ).
fof(f2608,plain,
( ~ spl5_40
| spl5_44
| ~ spl5_48 ),
inference(avatar_contradiction_clause,[],[f2607]) ).
fof(f2609,plain,
( spl5_49
| spl5_48 ),
inference(avatar_split_clause,[],[f2565,f2201,f2212]) ).
fof(f2646,plain,
( ~ subclass(sF4,sF2)
| sF2 = sF4
| ~ spl5_72 ),
inference(resolution,[],[f2462,f7]) ).
fof(f2647,plain,
( sF2 = sF4
| ~ spl5_49
| ~ spl5_72 ),
inference(forward_subsumption_resolution,[],[f2646,f2214]) ).
fof(f2648,plain,
( $false
| ~ spl5_49
| ~ spl5_72 ),
inference(forward_subsumption_resolution,[],[f2647,f199]) ).
fof(f2649,plain,
( ~ spl5_49
| ~ spl5_72 ),
inference(avatar_contradiction_clause,[],[f2648]) ).
fof(f2659,plain,
( member(first(not_subclass_element(sF2,sF4)),sF3)
| ~ member(first(not_subclass_element(sF2,sF4)),x)
| ~ spl5_54 ),
inference(resolution,[],[f2253,f216]) ).
fof(f2662,plain,
( ~ member(first(not_subclass_element(sF2,sF4)),x)
| ~ spl5_41
| ~ spl5_53
| ~ spl5_54
| spl5_58 ),
inference(forward_subsumption_resolution,[],[f2659,f2475]) ).
fof(f2663,plain,
( $false
| ~ spl5_41
| ~ spl5_52
| ~ spl5_53
| ~ spl5_54
| spl5_58 ),
inference(forward_subsumption_resolution,[],[f2662,f2245]) ).
fof(f2664,plain,
( ~ spl5_41
| ~ spl5_52
| ~ spl5_53
| ~ spl5_54
| spl5_58 ),
inference(avatar_contradiction_clause,[],[f2663]) ).
fof(f2678,plain,
( subclass(sF2,sF4)
| ~ spl5_58 ),
inference(resolution,[],[f2276,f3]) ).
fof(f2682,plain,
( $false
| ~ spl5_58
| spl5_72 ),
inference(forward_subsumption_resolution,[],[f2678,f2461]) ).
fof(f2683,plain,
( ~ spl5_58
| spl5_72 ),
inference(avatar_contradiction_clause,[],[f2682]) ).
fof(f2684,plain,
( spl5_72
| spl5_57 ),
inference(avatar_split_clause,[],[f2563,f2267,f2460]) ).
fof(f2717,plain,
( subclass(sF4,sF2)
| ~ spl5_45 ),
inference(resolution,[],[f2184,f3]) ).
fof(f2722,plain,
( $false
| ~ spl5_45
| spl5_49 ),
inference(forward_subsumption_resolution,[],[f2717,f2213]) ).
fof(f2723,plain,
( ~ spl5_45
| spl5_49 ),
inference(avatar_contradiction_clause,[],[f2722]) ).
cnf(s29,plain,
( ~ spl5_40
| ~ spl5_44
| spl5_45
| ~ spl5_46 ),
inference(sat_conversion,[],[f2190]) ).
cnf(s30,plain,
( ~ spl5_40
| ~ spl5_42
| ~ spl5_43
| spl5_46 ),
inference(sat_conversion,[],[f2191]) ).
cnf(s34,plain,
( ~ spl5_40
| spl5_43
| ~ spl5_48 ),
inference(sat_conversion,[],[f2204]) ).
cnf(s48,plain,
( ~ spl5_41
| spl5_54
| ~ spl5_57 ),
inference(sat_conversion,[],[f2280]) ).
cnf(s50,plain,
( ~ spl5_49
| spl5_56 ),
inference(sat_conversion,[],[f2293]) ).
cnf(s71,plain,
( ~ spl5_41
| spl5_52
| ~ spl5_56 ),
inference(sat_conversion,[],[f2467]) ).
cnf(s73,plain,
( ~ spl5_41
| spl5_53
| ~ spl5_56 ),
inference(sat_conversion,[],[f2472]) ).
cnf(s76,plain,
( spl5_41
| ~ spl5_56 ),
inference(sat_conversion,[],[f2482]) ).
cnf(s82,plain,
( spl5_40
| ~ spl5_48 ),
inference(sat_conversion,[],[f2576]) ).
cnf(s86,plain,
( ~ spl5_40
| spl5_42
| ~ spl5_48 ),
inference(sat_conversion,[],[f2606]) ).
cnf(s87,plain,
( ~ spl5_40
| spl5_44
| ~ spl5_48 ),
inference(sat_conversion,[],[f2608]) ).
cnf(s88,plain,
( spl5_48
| spl5_49 ),
inference(sat_conversion,[],[f2609]) ).
cnf(s90,plain,
( ~ spl5_49
| ~ spl5_72 ),
inference(sat_conversion,[],[f2649]) ).
cnf(s93,plain,
( ~ spl5_41
| ~ spl5_52
| ~ spl5_53
| ~ spl5_54
| spl5_58 ),
inference(sat_conversion,[],[f2664]) ).
cnf(s94,plain,
( ~ spl5_58
| spl5_72 ),
inference(sat_conversion,[],[f2683]) ).
cnf(s95,plain,
( spl5_57
| spl5_72 ),
inference(sat_conversion,[],[f2684]) ).
cnf(s107,plain,
( ~ spl5_45
| spl5_49 ),
inference(sat_conversion,[],[f2723]) ).
cnf(s109,plain,
( ~ spl5_49
| ~ spl5_41 ),
inference(rat,[],[s93,s48,s71,s73,s94,s95,s50,s90]) ).
cnf(s110,plain,
( spl5_49
| ~ spl5_40 ),
inference(rat,[],[s30,s29,s34,s86,s87,s88,s107]) ).
cnf(s111,plain,
~ spl5_49,
inference(rat,[],[s76,s109,s50]) ).
cnf(s113,plain,
spl5_48,
inference(rat,[],[s88,s111]) ).
cnf(s114,plain,
~ spl5_40,
inference(rat,[],[s110,s111]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s82,s113,s114]) ).
fof(f2724,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET220-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n010.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 01:08:48 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 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
% 4.78/1.91 % (1477661)Input is clausal, will run a generic CNF schedule.
% 4.78/1.91 % (1477666)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=3119022447:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.78/1.91 % (1477672)dis-21_1_sil=8000:lcm=predicate:random_seed=3495294041: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)
% 4.78/1.91 % (1477671)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4203083239:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.78/1.91 % (1477669)lrs+10_1_sil=8000:sp=occurrence:random_seed=861308470:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.78/1.91 % (1477670)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1117612041:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.78/1.91 % (1477668)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2663276292:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.78/1.91 % (1477667)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1660524927:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.78/1.91 % (1477669)Refutation not found, incomplete strategy
% 4.78/1.91 % (1477669)------------------------------
% 4.78/1.91 % (1477669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477669)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477669)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.91 % (1477669)Time elapsed: 0.001 s
% 4.78/1.91 % (1477669)Peak memory usage: 88 MB
% 4.78/1.91 % (1477670)Refutation not found, incomplete strategy
% 4.78/1.91 % (1477670)------------------------------
% 4.78/1.91 % (1477670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477670)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477670)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.91 % (1477670)Time elapsed: 0.001 s
% 4.78/1.91 % (1477670)Peak memory usage: 88 MB
% 4.78/1.91 % (1477670)Instructions burned: 1 (million)
% 4.78/1.91 % (1477672)Instruction limit reached!
% 4.78/1.91 % (1477672)------------------------------
% 4.78/1.91 % (1477672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477672)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477672)Termination reason: Instruction limit
% 4.78/1.91 % (1477672)Termination phase: Saturation
% 4.78/1.91 % (1477672)Time elapsed: 0.071 s
% 4.78/1.91 % (1477672)Peak memory usage: 89 MB
% 4.78/1.91 % (1477672)Instructions burned: 117 (million)
% 4.78/1.91 % (1477671)Instruction limit reached!
% 4.78/1.91 % (1477671)------------------------------
% 4.78/1.91 % (1477671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477671)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477671)Termination reason: Instruction limit
% 4.78/1.91 % (1477671)Termination phase: Saturation
% 4.78/1.91 % (1477671)Time elapsed: 0.139 s
% 4.78/1.91 % (1477671)Peak memory usage: 90 MB
% 4.78/1.91 % (1477671)Instructions burned: 180 (million)
% 4.78/1.91 % (1477680)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=2542395713:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.78/1.91 % (1477680)Refutation not found, incomplete strategy
% 4.78/1.91 % (1477680)------------------------------
% 4.78/1.91 % (1477680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477680)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477680)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.91 % (1477680)Time elapsed: 0.003 s
% 4.78/1.91 % (1477680)Peak memory usage: 88 MB
% 4.78/1.91 % (1477680)Instructions burned: 3 (million)
% 4.78/1.91 % (1477669)------------------------------
% 4.78/1.91 % (1477669)------------------------------
% 4.78/1.91 % (1477670)------------------------------
% 4.78/1.91 % (1477670)------------------------------
% 4.78/1.91 % (1477681)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3308652480: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)
% 4.78/1.91 % (1477681)Refutation not found, incomplete strategy
% 4.78/1.91 % (1477681)------------------------------
% 4.78/1.91 % (1477681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477681)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477681)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.91 % (1477681)Time elapsed: 0.012 s
% 4.78/1.91 % (1477681)Peak memory usage: 88 MB
% 4.78/1.91 % (1477681)Instructions burned: 21 (million)
% 4.78/1.91 % (1477683)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1473278844:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.78/1.91 % (1477683)Refutation not found, incomplete strategy
% 4.78/1.91 % (1477683)------------------------------
% 4.78/1.91 % (1477683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477683)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477683)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.91 % (1477683)Time elapsed: 0.002 s
% 4.78/1.91 % (1477683)Peak memory usage: 88 MB
% 4.78/1.91 % (1477683)Instructions burned: 4 (million)
% 4.78/1.91 % (1477684)lrs+10_64_to=lpo:sil=8000:random_seed=2259564513:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.78/1.91 % (1477680)------------------------------
% 4.78/1.91 % (1477680)------------------------------
% 4.78/1.91 % (1477684)Instruction limit reached!
% 4.78/1.91 % (1477684)------------------------------
% 4.78/1.91 % (1477684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477684)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477684)Termination reason: Instruction limit
% 4.78/1.91 % (1477684)Termination phase: Saturation
% 4.78/1.91 % (1477684)Time elapsed: 0.080 s
% 4.78/1.91 % (1477684)Peak memory usage: 89 MB
% 4.78/1.91 % (1477684)Instructions burned: 126 (million)
% 4.78/1.91 % (1477683)------------------------------
% 4.78/1.91 % (1477683)------------------------------
% 4.78/1.91 % (1477681)------------------------------
% 4.78/1.91 % (1477681)------------------------------
% 4.78/1.91 % (1477688)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4249755668:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 4.78/1.91 % (1477689)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2954141631:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 4.78/1.91 % (1477690)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2795485761:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 4.78/1.91 % (1477666)First to succeed.
% 4.78/1.91 % (1477666)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1477661"
% 4.78/1.91 % (1477691)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=1897629820:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 4.78/1.91 % (1477688)Instruction limit reached!
% 4.78/1.91 % (1477688)------------------------------
% 4.78/1.91 % (1477688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477688)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477688)Termination reason: Instruction limit
% 4.78/1.91 % (1477688)Termination phase: Saturation
% 4.78/1.91 % (1477688)Time elapsed: 0.120 s
% 4.78/1.91 % (1477688)Peak memory usage: 89 MB
% 4.78/1.91 % (1477688)Instructions burned: 194 (million)
% 4.78/1.91 % (1477689)Instruction limit reached!
% 4.78/1.91 % (1477689)------------------------------
% 4.78/1.91 % (1477689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477689)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477689)Termination reason: Instruction limit
% 4.78/1.91 % (1477689)Termination phase: Saturation
% 4.78/1.91 % (1477689)Time elapsed: 0.105 s
% 4.78/1.91 % (1477689)Peak memory usage: 91 MB
% 4.78/1.91 % (1477689)Instructions burned: 157 (million)
% 4.78/1.91 % (1477691)Instruction limit reached!
% 4.78/1.91 % (1477691)------------------------------
% 4.78/1.91 % (1477691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477691)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477691)Termination reason: Instruction limit
% 4.78/1.91 % (1477691)Termination phase: Saturation
% 4.78/1.91 % (1477691)Time elapsed: 0.062 s
% 4.78/1.91 % (1477691)Peak memory usage: 89 MB
% 4.78/1.91 % (1477691)Instructions burned: 106 (million)
% 4.78/1.91 % (1477668)Also succeeded, but the first one will report.
% 4.78/1.91 % (1477697)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=996622680:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 4.78/1.91 % (1477696)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2800509046:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 4.78/1.91 % (1477696)Refutation not found, incomplete strategy
% 4.78/1.91 % (1477696)------------------------------
% 4.78/1.91 % (1477696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.91 % (1477696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.91 % (1477696)CaDiCaL version: 2.1.3
% 4.78/1.91 % (1477696)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.91 % (1477696)Time elapsed: 0.005 s
% 4.78/1.91 % (1477696)Peak memory usage: 88 MB
% 4.78/1.91 % (1477696)Instructions burned: 8 (million)
% 4.78/1.91 % (1477698)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2843013029:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 4.78/1.91 % (1477666)Refutation found. Thanks to Tanya!
% 4.78/1.91 % SZS status Unsatisfiable for theBenchmark
% 4.78/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 7.98/2.11 % (1477666)------------------------------
% 7.98/2.11 % (1477666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.11 % (1477666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.11 % (1477666)CaDiCaL version: 2.1.3
% 7.98/2.11 % (1477666)Termination reason: Refutation
% 7.98/2.11 % (1477666)Time elapsed: 0.675 s
% 7.98/2.11 % (1477666)Peak memory usage: 133 MB
% 7.98/2.11 % (1477666)Instructions burned: 1358 (million)
% 7.98/2.11 % (1477666)------------------------------
% 7.98/2.11 % (1477666)------------------------------
% 7.98/2.11 % (1477661)Success in time 1.061 s
% 7.98/2.11 % Vampire exiting
%------------------------------------------------------------------------------