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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET514-6 : 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 : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:41:05 PM UTC 2026

% Result   : Unsatisfiable 15.63s 3.02s
% Output   : Refutation 17.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  110 (  24 unt;   4 def)
%            Number of atoms       :  289 (  47 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  346 ( 167   ~; 176   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :  170 (   0 sgn 170   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,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(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X1,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).

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(f31,axiom,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | restrict(X1,singleton(X0),universal_class) = null_class
      | member(X0,domain_of(X1)) ),
    file('/export/starexec/sandbox2/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(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(f107,axiom,
    subclass(domain_relation,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_domain_relation1) ).

fof(f109,axiom,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(ordered_pair(X0,domain_of(X0)),domain_relation) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_domain_relation3) ).

fof(f122,negated_conjecture,
    member(cross_product(universal_class,universal_class),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_class_of_ordered_pairs_not_set_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(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(f143,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(f144,plain,
    ! [X0,X1] :
      ( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
      | ~ member(X0,universal_class)
      | member(X0,domain_of(X1)) ),
    inference(definition_unfolding,[],[f32,f28,f12]) ).

fof(f179,plain,
    ! [X0] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(X0),domain_of(X0)))),domain_relation)
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f109,f127]) ).

fof(f189,definition,
    sF0 = cross_product(universal_class,universal_class),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f190,plain,
    cross_product(universal_class,universal_class) = sF0,
    inference(reorient_equations,[],[f189]) ).

fof(f191,plain,
    member(sF0,x),
    inference(definition_folding,[],[f122,f190]) ).

fof(f200,plain,
    subclass(domain_relation,sF0),
    inference(backward_demodulation,[],[f107,f190]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X0)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[],[f21,f2]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ member(X0,regular(X1))
      | member(X0,null_class)
      | ~ member(X0,X1)
      | null_class = X1 ),
    inference(superposition,[],[f23,f70]) ).

fof(f240,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(f245,plain,
    ! [X0] :
      ( ~ subclass(universal_class,X0)
      | universal_class = X0 ),
    inference(resolution,[],[f7,f4]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X0)
      | subclass(intersection(X0,X1),X0) ),
    inference(resolution,[],[f213,f3]) ).

fof(f253,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f246]) ).

fof(f268,plain,
    ! [X0] :
      ( subclass(null_class,X0)
      | null_class = X0 ),
    inference(superposition,[],[f253,f70]) ).

fof(f269,plain,
    ! [X0] :
      ( null_class = X0
      | ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(resolution,[],[f268,f7]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f271,plain,
    ! [X0] : null_class = intersection(null_class,X0),
    inference(resolution,[],[f270,f253]) ).

fof(f282,plain,
    ! [X0] :
      ( null_class != null_class
      | ~ member(X0,domain_of(null_class)) ),
    inference(superposition,[],[f143,f271]) ).

fof(f283,plain,
    ! [X0] : ~ member(X0,domain_of(null_class)),
    inference(trivial_inequality_removal,[],[f282]) ).

fof(f289,plain,
    null_class = domain_of(null_class),
    inference(resolution,[],[f283,f68]) ).

fof(f290,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(backward_demodulation,[],[f283,f289]) ).

fof(f350,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,[],[f239,f240]) ).

fof(f351,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 ),
    inference(duplicate_literal_removal,[],[f350]) ).

fof(f352,plain,
    ! [X2,X0,X1] :
      ( regular(unordered_pair(X2,X0)) = X2
      | ~ member(X1,unordered_pair(X2,X0))
      | null_class = unordered_pair(X2,X0)
      | ~ member(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f351,f290]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(superposition,[],[f138,f190]) ).

fof(f422,plain,
    ! [X2,X0,X1] :
      ( member(X0,null_class)
      | ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
      | ~ member(X0,X1)
      | ~ member(X2,universal_class)
      | member(X2,domain_of(X1)) ),
    inference(superposition,[],[f23,f144]) ).

fof(f427,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
      | ~ member(X0,X1)
      | ~ member(X2,universal_class)
      | member(X2,domain_of(X1)) ),
    inference(forward_subsumption_resolution,[],[f422,f290]) ).

fof(f434,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
      | ~ member(X3,universal_class)
      | member(X3,domain_of(X2))
      | ~ member(X1,universal_class)
      | ~ member(X0,unordered_pair(X3,X3)) ),
    inference(resolution,[],[f427,f138]) ).

fof(f441,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,domain_of(sF0))
      | ~ member(X1,universal_class)
      | ~ member(X2,unordered_pair(X0,X0))
      | ~ member(X1,universal_class)
      | ~ member(X2,universal_class) ),
    inference(resolution,[],[f434,f416]) ).

fof(f450,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,domain_of(sF0))
      | ~ member(X1,universal_class)
      | ~ member(X2,unordered_pair(X0,X0))
      | ~ member(X2,universal_class) ),
    inference(duplicate_literal_removal,[],[f441]) ).

fof(f454,definition,
    ( spl1_6
  <=> ! [X1] : ~ member(X1,universal_class) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X1] : ~ member(X1,universal_class)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f457,definition,
    ( spl1_7
  <=> ! [X2,X0] :
        ( ~ member(X0,universal_class)
        | ~ member(X2,universal_class)
        | ~ member(X2,unordered_pair(X0,X0))
        | member(X0,domain_of(sF0)) ) ),
    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).

fof(f458,plain,
    ( ! [X2,X0] :
        ( ~ member(X2,unordered_pair(X0,X0))
        | ~ member(X2,universal_class)
        | ~ member(X0,universal_class)
        | member(X0,domain_of(sF0)) )
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f459,plain,
    ( spl1_6
    | spl1_7 ),
    inference(avatar_split_clause,[],[f450,f457,f454]) ).

fof(f466,plain,
    ( universal_class = null_class
    | ~ spl1_6 ),
    inference(resolution,[],[f455,f68]) ).

fof(f472,plain,
    ( ! [X0,X1] : member(unordered_pair(X0,X1),null_class)
    | ~ spl1_6 ),
    inference(backward_demodulation,[],[f11,f466]) ).

fof(f548,plain,
    ( $false
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f472,f290]) ).

fof(f549,plain,
    ~ spl1_6,
    inference(avatar_contradiction_clause,[],[f548]) ).

fof(f579,plain,
    ( ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ member(X0,universal_class)
        | member(X0,domain_of(sF0))
        | ~ member(X0,universal_class) )
    | ~ spl1_7 ),
    inference(resolution,[],[f458,f10]) ).

fof(f589,plain,
    ( ! [X0] :
        ( member(X0,domain_of(sF0))
        | ~ member(X0,universal_class) )
    | ~ spl1_7 ),
    inference(duplicate_literal_removal,[],[f579]) ).

fof(f617,plain,
    ( ! [X0] :
        ( ~ member(not_subclass_element(X0,domain_of(sF0)),universal_class)
        | subclass(X0,domain_of(sF0)) )
    | ~ spl1_7 ),
    inference(resolution,[],[f589,f3]) ).

fof(f1068,plain,
    ! [X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF0)
      | member(X1,universal_class) ),
    inference(superposition,[],[f137,f190]) ).

fof(f1075,plain,
    ! [X2,X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),X2)
      | member(X0,universal_class)
      | ~ subclass(X2,sF0) ),
    inference(resolution,[],[f1068,f1]) ).

fof(f1141,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X1,X0)
      | member(X1,null_class)
      | ~ member(X1,unordered_pair(X0,X2))
      | null_class = unordered_pair(X0,X2)
      | ~ member(X3,unordered_pair(X0,X2))
      | null_class = unordered_pair(X0,X2)
      | ~ member(X3,X2) ),
    inference(superposition,[],[f239,f352]) ).

fof(f1146,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X1,X0)
      | member(X1,null_class)
      | ~ member(X1,unordered_pair(X0,X2))
      | null_class = unordered_pair(X0,X2)
      | ~ member(X3,unordered_pair(X0,X2))
      | ~ member(X3,X2) ),
    inference(duplicate_literal_removal,[],[f1141]) ).

fof(f1149,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X3,unordered_pair(X0,X2))
      | ~ member(X1,unordered_pair(X0,X2))
      | null_class = unordered_pair(X0,X2)
      | ~ member(X1,X0)
      | ~ member(X3,X2) ),
    inference(forward_subsumption_resolution,[],[f1146,f290]) ).

fof(f1160,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | unordered_pair(X1,X2) = null_class
      | ~ member(X0,X1)
      | ~ member(X1,X2)
      | ~ member(X1,universal_class) ),
    inference(resolution,[],[f1149,f9]) ).

fof(f1175,plain,
    ! [X0,X1] :
      ( unordered_pair(X0,X1) = null_class
      | ~ member(X1,X0)
      | ~ member(X0,X1)
      | ~ member(X0,universal_class)
      | ~ member(X1,universal_class) ),
    inference(resolution,[],[f1160,f10]) ).

fof(f1429,plain,
    ! [X0,X1] :
      ( member(X0,null_class)
      | ~ member(X0,universal_class)
      | ~ member(X0,X1)
      | ~ member(X1,X0)
      | ~ member(X1,universal_class)
      | ~ member(X0,universal_class) ),
    inference(superposition,[],[f10,f1175]) ).

fof(f1530,plain,
    ! [X0,X1] :
      ( member(X0,null_class)
      | ~ member(X0,universal_class)
      | ~ member(X0,X1)
      | ~ member(X1,X0)
      | ~ member(X1,universal_class) ),
    inference(duplicate_literal_removal,[],[f1429]) ).

fof(f1558,plain,
    ! [X0,X1] :
      ( ~ member(X1,universal_class)
      | ~ member(X0,X1)
      | ~ member(X1,X0)
      | ~ member(X0,universal_class) ),
    inference(forward_subsumption_resolution,[],[f1530,f290]) ).

fof(f1622,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,X1)
      | ~ member(X1,X0)
      | ~ member(X0,universal_class)
      | ~ member(X1,X2)
      | ~ subclass(X2,universal_class) ),
    inference(resolution,[],[f1558,f1]) ).

fof(f1635,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,X2)
      | ~ member(X1,X0)
      | ~ member(X0,universal_class)
      | ~ member(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f1622,f4]) ).

fof(f2056,definition,
    ( spl1_49
  <=> member(sF0,universal_class) ),
    introduced(definition,[new_symbols(definition,[spl1_49])],[avatar_definition]) ).

fof(f2057,plain,
    ( member(sF0,universal_class)
    | ~ spl1_49 ),
    inference(avatar_component_clause,[],[f2056]) ).

fof(f2058,plain,
    ( ~ member(sF0,universal_class)
    | spl1_49 ),
    inference(avatar_component_clause,[],[f2056]) ).

fof(f2451,plain,
    ( ! [X0] :
        ( ~ member(sF0,X0)
        | ~ subclass(X0,universal_class) )
    | spl1_49 ),
    inference(resolution,[],[f2058,f1]) ).

fof(f2452,plain,
    ( ! [X0] : ~ member(sF0,X0)
    | spl1_49 ),
    inference(forward_subsumption_resolution,[],[f2451,f4]) ).

fof(f2453,plain,
    ( $false
    | spl1_49 ),
    inference(resolution,[],[f2452,f191]) ).

fof(f2468,plain,
    spl1_49,
    inference(avatar_contradiction_clause,[],[f2453]) ).

fof(f4445,plain,
    ( subclass(universal_class,domain_of(sF0))
    | subclass(universal_class,domain_of(sF0))
    | ~ spl1_7 ),
    inference(resolution,[],[f617,f2]) ).

fof(f4452,plain,
    ( subclass(universal_class,domain_of(sF0))
    | ~ spl1_7 ),
    inference(duplicate_literal_removal,[],[f4445]) ).

fof(f4454,plain,
    ( universal_class = domain_of(sF0)
    | ~ spl1_7 ),
    inference(resolution,[],[f4452,f245]) ).

fof(f4875,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | member(domain_of(X0),universal_class)
      | ~ subclass(domain_relation,sF0) ),
    inference(resolution,[],[f179,f1075]) ).

fof(f4903,plain,
    ! [X0] :
      ( member(domain_of(X0),universal_class)
      | ~ member(X0,universal_class) ),
    inference(forward_subsumption_resolution,[],[f4875,f200]) ).

fof(f4983,plain,
    ! [X0,X1] :
      ( ~ member(domain_of(X0),X1)
      | ~ member(X0,universal_class)
      | ~ member(X1,universal_class)
      | ~ member(X1,domain_of(X0)) ),
    inference(resolution,[],[f4903,f1635]) ).

fof(f7179,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | ~ member(unordered_pair(domain_of(X0),X1),universal_class)
      | ~ member(unordered_pair(domain_of(X0),X1),domain_of(X0))
      | ~ member(domain_of(X0),universal_class) ),
    inference(resolution,[],[f4983,f9]) ).

fof(f7256,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | ~ member(unordered_pair(domain_of(X0),X1),universal_class)
      | ~ member(unordered_pair(domain_of(X0),X1),domain_of(X0)) ),
    inference(forward_subsumption_resolution,[],[f7179,f4903]) ).

fof(f7261,plain,
    ! [X0,X1] :
      ( ~ member(unordered_pair(domain_of(X0),X1),domain_of(X0))
      | ~ member(X0,universal_class) ),
    inference(forward_subsumption_resolution,[],[f7256,f11]) ).

fof(f7296,plain,
    ( ! [X0] :
        ( ~ member(unordered_pair(universal_class,X0),universal_class)
        | ~ member(sF0,universal_class) )
    | ~ spl1_7 ),
    inference(superposition,[],[f7261,f4454]) ).

fof(f7297,plain,
    ( ! [X0] : ~ member(unordered_pair(universal_class,X0),universal_class)
    | ~ spl1_7
    | ~ spl1_49 ),
    inference(forward_subsumption_resolution,[],[f7296,f2057]) ).

fof(f7324,plain,
    ( $false
    | ~ spl1_7
    | ~ spl1_49 ),
    inference(forward_subsumption_resolution,[],[f7297,f11]) ).

fof(f7325,plain,
    ( ~ spl1_7
    | ~ spl1_49 ),
    inference(avatar_contradiction_clause,[],[f7324]) ).

cnf(s4,plain,
    ( spl1_6
    | spl1_7 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s6,plain,
    ~ spl1_6,
    inference(sat_conversion,[],[f549]) ).

cnf(s45,plain,
    spl1_49,
    inference(sat_conversion,[],[f2468]) ).

cnf(s199,plain,
    ( ~ spl1_7
    | ~ spl1_49 ),
    inference(sat_conversion,[],[f7325]) ).

cnf(s213,plain,
    ~ spl1_7,
    inference(rat,[],[s199,s45]) ).

cnf(s255,plain,
    $false,
    inference(rat,[],[s4,s213,s6]) ).

fof(f7431,plain,
    $false,
    inference(avatar_sat_refutation,[],[s255]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET514-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n004.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 02:01:52 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  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
% 10.86/2.15  % (4074527)Input is clausal, will run a generic CNF schedule.
% 10.86/2.15  % (4074537)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2513130669:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.86/2.15  % (4074532)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=207848367:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.86/2.15  % (4074536)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4089690514:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.86/2.15  % (4074533)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2351114041:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.86/2.15  % (4074538)dis-21_1_sil=8000:lcm=predicate:random_seed=430362953:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.86/2.15  % (4074535)lrs+10_1_sil=8000:sp=occurrence:random_seed=996823850:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.86/2.16  % (4074534)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=537116767:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.86/2.16  % (4074535)Refutation not found, incomplete strategy
% 10.86/2.16  % (4074535)------------------------------
% 10.86/2.16  % (4074535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.86/2.16  % (4074535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.86/2.16  % (4074535)CaDiCaL version: 2.1.3
% 10.86/2.16  % (4074535)Termination reason: Refutation not found, incomplete strategy
% 10.86/2.16  % (4074535)Time elapsed: 0.001 s
% 10.86/2.16  % (4074535)Peak memory usage: 86 MB
% 10.86/2.16  % (4074536)Instruction limit reached! 
% 10.86/2.16  % (4074536)------------------------------
% 10.86/2.16  % (4074536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.86/2.16  % (4074536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.86/2.16  % (4074536)CaDiCaL version: 2.1.3
% 10.86/2.16  % (4074536)Termination reason: Instruction limit
% 10.86/2.16  % (4074536)Termination phase: Saturation
% 10.86/2.16  % (4074536)Time elapsed: 0.054 s
% 10.86/2.16  % (4074536)Peak memory usage: 88 MB
% 10.86/2.16  % (4074536)Instructions burned: 114 (million)
% 10.86/2.16  % (4074538)Instruction limit reached! 
% 10.86/2.16  % (4074538)------------------------------
% 10.86/2.16  % (4074538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.86/2.16  % (4074538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.86/2.16  % (4074538)CaDiCaL version: 2.1.3
% 10.86/2.16  % (4074538)Termination reason: Instruction limit
% 10.86/2.16  % (4074538)Termination phase: Saturation
% 10.86/2.16  % (4074538)Time elapsed: 0.071 s
% 10.86/2.16  % (4074538)Peak memory usage: 89 MB
% 10.86/2.16  % (4074538)Instructions burned: 117 (million)
% 10.86/2.16  % (4074537)Instruction limit reached! 
% 10.86/2.16  % (4074537)------------------------------
% 10.86/2.16  % (4074537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.86/2.16  % (4074537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.86/2.16  % (4074537)CaDiCaL version: 2.1.3
% 10.86/2.16  % (4074537)Termination reason: Instruction limit
% 10.86/2.16  % (4074537)Termination phase: Saturation
% 10.86/2.16  % (4074537)Time elapsed: 0.128 s
% 10.86/2.16  % (4074537)Peak memory usage: 90 MB
% 10.86/2.16  % (4074537)Instructions burned: 180 (million)
% 10.86/2.16  % (4074546)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=783652820:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.86/2.16  % (4074546)Refutation not found, incomplete strategy
% 10.86/2.16  % (4074546)------------------------------
% 10.86/2.16  % (4074546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.86/2.16  % (4074546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.86/2.16  % (4074546)CaDiCaL version: 2.1.3
% 10.86/2.16  % (4074546)Termination reason: Refutation not found, incomplete strategy
% 10.86/2.16  % (4074546)Time elapsed: 0.001 s
% 10.86/2.16  % (4074546)Peak memory usage: 86 MB
% 10.86/2.16  % (4074547)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1387910182: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)
% 15.63/3.02  % (4074535)------------------------------
% 15.63/3.02  % (4074535)------------------------------
% 15.63/3.02  % (4074548)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1839263317:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.63/3.02  % (4074548)Refutation not found, incomplete strategy
% 15.63/3.02  % (4074548)------------------------------
% 15.63/3.02  % (4074548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074548)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074548)Termination reason: Refutation not found, incomplete strategy
% 15.63/3.02  % (4074548)Time elapsed: 0.002 s
% 15.63/3.02  % (4074548)Peak memory usage: 88 MB
% 15.63/3.02  % (4074548)Instructions burned: 3 (million)
% 15.63/3.02  % (4074547)Instruction limit reached! 
% 15.63/3.02  % (4074547)------------------------------
% 15.63/3.02  % (4074547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074547)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074547)Termination reason: Instruction limit
% 15.63/3.02  % (4074547)Termination phase: Saturation
% 15.63/3.02  % (4074547)Time elapsed: 0.086 s
% 15.63/3.02  % (4074547)Peak memory usage: 91 MB
% 15.63/3.02  % (4074547)Instructions burned: 189 (million)
% 15.63/3.02  % (4074551)lrs+10_64_to=lpo:sil=8000:random_seed=1372851458:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 15.63/3.02  % (4074548)------------------------------
% 15.63/3.02  % (4074548)------------------------------
% 15.63/3.02  % (4074546)------------------------------
% 15.63/3.02  % (4074546)------------------------------
% 15.63/3.02  % (4074553)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2388233416:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 15.63/3.02  % (4074551)Instruction limit reached! 
% 15.63/3.02  % (4074551)------------------------------
% 15.63/3.02  % (4074551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074551)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074551)Termination reason: Instruction limit
% 15.63/3.02  % (4074551)Termination phase: Saturation
% 15.63/3.02  % (4074551)Time elapsed: 0.082 s
% 15.63/3.02  % (4074551)Peak memory usage: 89 MB
% 15.63/3.02  % (4074551)Instructions burned: 127 (million)
% 15.63/3.02  % (4074555)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1769092895:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 15.63/3.02  % (4074553)Instruction limit reached! 
% 15.63/3.02  % (4074553)------------------------------
% 15.63/3.02  % (4074553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074553)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074553)Termination reason: Instruction limit
% 15.63/3.02  % (4074553)Termination phase: Saturation
% 15.63/3.02  % (4074553)Time elapsed: 0.120 s
% 15.63/3.02  % (4074553)Peak memory usage: 89 MB
% 15.63/3.02  % (4074553)Instructions burned: 195 (million)
% 15.63/3.02  % (4074555)Instruction limit reached! 
% 15.63/3.02  % (4074555)------------------------------
% 15.63/3.02  % (4074555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074555)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074555)Termination reason: Instruction limit
% 15.63/3.02  % (4074555)Termination phase: Saturation
% 15.63/3.02  % (4074555)Time elapsed: 0.058 s
% 15.63/3.02  % (4074555)Peak memory usage: 91 MB
% 15.63/3.02  % (4074555)Instructions burned: 161 (million)
% 15.63/3.02  % (4074556)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=27052861:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 15.63/3.02  % (4074558)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=1586100227:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 15.63/3.02  % (4074558)Refutation not found, incomplete strategy
% 15.63/3.02  % (4074558)------------------------------
% 15.63/3.02  % (4074558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074558)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074558)Termination reason: Refutation not found, incomplete strategy
% 15.63/3.02  % (4074558)Time elapsed: 0.001 s
% 15.63/3.02  % (4074558)Peak memory usage: 86 MB
% 15.63/3.02  % (4074562)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4139116205:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 15.63/3.02  % (4074560)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3041294034:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 15.63/3.02  % (4074560)Instruction limit reached! 
% 15.63/3.02  % (4074560)------------------------------
% 15.63/3.02  % (4074560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074560)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074560)Termination reason: Instruction limit
% 15.63/3.02  % (4074560)Termination phase: Saturation
% 15.63/3.02  % (4074560)Time elapsed: 0.071 s
% 15.63/3.02  % (4074560)Peak memory usage: 89 MB
% 15.63/3.02  % (4074560)Instructions burned: 108 (million)
% 15.63/3.02  % (4074562)Instruction limit reached! 
% 15.63/3.02  % (4074562)------------------------------
% 15.63/3.02  % (4074562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074562)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074562)Termination reason: Instruction limit
% 15.63/3.02  % (4074562)Termination phase: Saturation
% 15.63/3.02  % (4074562)Time elapsed: 0.086 s
% 15.63/3.02  % (4074562)Peak memory usage: 90 MB
% 15.63/3.02  % (4074562)Instructions burned: 243 (million)
% 15.63/3.02  % (4074558)------------------------------
% 15.63/3.02  % (4074558)------------------------------
% 15.63/3.02  % (4074567)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=479098121:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 15.63/3.02  % (4074567)Refutation not found, incomplete strategy
% 15.63/3.02  % (4074567)------------------------------
% 15.63/3.02  % (4074567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074567)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074567)Termination reason: Refutation not found, incomplete strategy
% 15.63/3.02  % (4074567)Time elapsed: 0.0000 s
% 15.63/3.02  % (4074567)Peak memory usage: 86 MB
% 15.63/3.02  % (4074566)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3637672248:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 15.63/3.02  % (4074568)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=194375551:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 15.63/3.02  % (4074567)------------------------------
% 15.63/3.02  % (4074567)------------------------------
% 15.63/3.02  % (4074572)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2276763:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 15.63/3.02  % (4074572)Instruction limit reached! 
% 15.63/3.02  % (4074572)------------------------------
% 15.63/3.02  % (4074572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074572)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074572)Termination reason: Instruction limit
% 15.63/3.02  % (4074572)Termination phase: Saturation
% 15.63/3.02  % (4074572)Time elapsed: 0.056 s
% 15.63/3.02  % (4074572)Peak memory usage: 90 MB
% 15.63/3.02  % (4074572)Instructions burned: 193 (million)
% 15.63/3.02  % (4074568)Instruction limit reached! 
% 15.63/3.02  % (4074568)------------------------------
% 15.63/3.02  % (4074568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074568)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074568)Termination reason: Instruction limit
% 15.63/3.02  % (4074568)Termination phase: Saturation
% 15.63/3.02  % (4074568)Time elapsed: 0.301 s
% 15.63/3.02  % (4074568)Peak memory usage: 96 MB
% 15.63/3.02  % (4074568)Instructions burned: 500 (million)
% 15.63/3.02  % (4074574)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3057706834:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 15.63/3.02  % (4074574)Instruction limit reached! 
% 15.63/3.02  % (4074574)------------------------------
% 15.63/3.02  % (4074574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074574)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074574)Termination reason: Instruction limit
% 15.63/3.02  % (4074574)Termination phase: Saturation
% 15.63/3.02  % (4074574)Time elapsed: 0.095 s
% 15.63/3.02  % (4074574)Peak memory usage: 91 MB
% 15.63/3.02  % (4074574)Instructions burned: 267 (million)
% 15.63/3.02  % (4074575)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1598480517:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 15.63/3.02  % (4074577)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=4273166556:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 15.63/3.02  % (4074575)Instruction limit reached! 
% 15.63/3.02  % (4074575)------------------------------
% 15.63/3.02  % (4074575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074575)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074575)Termination reason: Instruction limit
% 15.63/3.02  % (4074575)Termination phase: Saturation
% 15.63/3.02  % (4074575)Time elapsed: 0.109 s
% 15.63/3.02  % (4074575)Peak memory usage: 90 MB
% 15.63/3.02  % (4074575)Instructions burned: 157 (million)
% 15.63/3.02  % (4074580)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4035918865:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 15.63/3.02  % (4074580)Refutation not found, incomplete strategy
% 15.63/3.02  % (4074580)------------------------------
% 15.63/3.02  % (4074580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.63/3.02  % (4074580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/3.02  % (4074580)CaDiCaL version: 2.1.3
% 15.63/3.02  % (4074580)Termination reason: Refutation not found, incomplete strategy
% 15.63/3.02  % (4074580)Time elapsed: 0.001 s
% 15.63/3.02  % (4074580)Peak memory usage: 86 MB
% 15.63/3.02  % (4074534)First to succeed.
% 15.63/3.02  % (4074534)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4074527"
% 15.63/3.02  % (4074580)------------------------------
% 15.63/3.02  % (4074580)------------------------------
% 15.63/3.02  % (4074582)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2623347125:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 15.63/3.02  % (4074534)Refutation found. Thanks to Tanya!
% 15.63/3.02  % SZS status Unsatisfiable for theBenchmark
% 15.63/3.02  % SZS output start Proof for theBenchmark
% See solution above
% 17.27/3.11  % (4074534)------------------------------
% 17.27/3.11  % (4074534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.27/3.11  % (4074534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.27/3.11  % (4074534)CaDiCaL version: 2.1.3
% 17.27/3.11  % (4074534)Termination reason: Refutation
% 17.27/3.11  % (4074534)Time elapsed: 1.988 s
% 17.27/3.11  % (4074534)Peak memory usage: 141 MB
% 17.27/3.11  % (4074534)Instructions burned: 3206 (million)
% 17.27/3.11  % (4074534)------------------------------
% 17.27/3.11  % (4074534)------------------------------
% 17.27/3.11  % (4074527)Success in time 2.418 s
% 17.27/3.11  % Vampire exiting
%------------------------------------------------------------------------------