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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET505-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 12:43:53 PM UTC 2026

% Result   : Unsatisfiable 11.20s 3.96s
% Output   : Refutation 11.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  140 (  23 unt;  10 def)
%            Number of atoms       :  342 (  71 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  346 ( 144   ~; 192   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  11 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :  126 (   0 sgn 126   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ subclass(X0,X1)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X1,X0))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',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/Axioms/SET004-0.ax',ordered_pair) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
      | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( member(X0,complement(X1))
      | ~ member(X0,universal_class)
      | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).

fof(f28,axiom,
    ! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( restrict(X0,singleton(X1),universal_class) != null_class
      | ~ member(X1,domain_of(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).

fof(f67,axiom,
    ! [X0] :
      ( X0 = null_class
      | member(regular(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',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/Axioms/SET004-0.ax',regularity2) ).

fof(f70,plain,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    inference(reorient_equations,[],[f69]) ).

fof(f122,negated_conjecture,
    member(ordered_pair(universal_class,y),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_universal_class_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(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(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(f185,plain,
    member(unordered_pair(unordered_pair(universal_class,universal_class),unordered_pair(universal_class,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
    inference(definition_unfolding,[],[f122,f127]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f68,f24]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(complement(X0),X1),X0)
      | subclass(complement(X0),X1) ),
    inference(resolution,[],[f2,f24]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( member(regular(intersection(X0,X1)),X0)
      | intersection(X0,X1) = null_class ),
    inference(resolution,[],[f21,f68]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( ~ subclass(unordered_pair(X0,X1),X2)
      | member(X0,X2)
      | ~ member(X0,universal_class) ),
    inference(resolution,[],[f1,f9]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(X0,X2),X1)
      | ~ subclass(X0,X1)
      | subclass(X0,X2) ),
    inference(resolution,[],[f1,f2]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( member(regular(X0),X1)
      | ~ subclass(X0,X1)
      | null_class = X0 ),
    inference(resolution,[],[f1,f68]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
      | member(not_subclass_element(X0,complement(X1)),X1)
      | subclass(X0,complement(X1)) ),
    inference(resolution,[],[f25,f3]) ).

fof(f356,plain,
    ! [X2,X0,X1] :
      ( subclass(unordered_pair(X0,X1),X2)
      | not_subclass_element(unordered_pair(X0,X1),X2) = X1
      | not_subclass_element(unordered_pair(X0,X1),X2) = X0 ),
    inference(resolution,[],[f8,f2]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( regular(unordered_pair(X0,X1)) = X0
      | regular(unordered_pair(X0,X1)) = X1
      | unordered_pair(X0,X1) = null_class ),
    inference(resolution,[],[f8,f68]) ).

fof(f362,plain,
    ! [X2,X0,X1] :
      ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
      | ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
      | subclass(X0,intersection(X1,X2)) ),
    inference(resolution,[],[f23,f3]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ~ member(X0,regular(X1))
      | member(X0,null_class)
      | ~ member(X0,X1)
      | null_class = X1 ),
    inference(superposition,[],[f23,f70]) ).

fof(f390,plain,
    member(universal_class,universal_class),
    inference(resolution,[],[f136,f185]) ).

fof(f397,plain,
    ! [X0] :
      ( ~ subclass(universal_class,X0)
      | member(universal_class,X0) ),
    inference(resolution,[],[f390,f1]) ).

fof(f702,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class
      | complement(X0) = null_class ),
    inference(resolution,[],[f234,f217]) ).

fof(f712,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class ),
    inference(duplicate_literal_removal,[],[f702]) ).

fof(f764,plain,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X2)
      | intersection(X0,X1) = null_class
      | member(regular(intersection(X0,X1)),X2) ),
    inference(resolution,[],[f223,f1]) ).

fof(f825,plain,
    ! [X0,X1] :
      ( ~ subclass(complement(X0),X0)
      | subclass(complement(X0),X1)
      | subclass(complement(X0),X1) ),
    inference(resolution,[],[f229,f218]) ).

fof(f838,plain,
    ! [X0,X1] :
      ( ~ subclass(complement(X0),X0)
      | subclass(complement(X0),X1) ),
    inference(duplicate_literal_removal,[],[f825]) ).

fof(f1050,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,complement(X1)),X1)
      | subclass(X0,complement(X1))
      | ~ subclass(X0,universal_class)
      | subclass(X0,complement(X1)) ),
    inference(resolution,[],[f350,f229]) ).

fof(f1055,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,complement(X1)),X1)
      | subclass(X0,complement(X1))
      | ~ subclass(X0,universal_class) ),
    inference(duplicate_literal_removal,[],[f1050]) ).

fof(f1057,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,complement(X1)),X1)
      | subclass(X0,complement(X1)) ),
    inference(forward_subsumption_resolution,[],[f1055,f4]) ).

fof(f1060,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,X0)
      | member(X1,null_class)
      | ~ member(X1,unordered_pair(X0,X2))
      | null_class = unordered_pair(X0,X2)
      | regular(unordered_pair(X0,X2)) = X2
      | null_class = unordered_pair(X0,X2) ),
    inference(superposition,[],[f363,f358]) ).

fof(f1077,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X2))
      | member(X1,null_class)
      | ~ member(X1,X0)
      | null_class = unordered_pair(X0,X2)
      | regular(unordered_pair(X0,X2)) = X2 ),
    inference(duplicate_literal_removal,[],[f1060]) ).

fof(f1271,plain,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,null_class),regular(X1))
      | ~ member(not_subclass_element(X0,null_class),X1)
      | subclass(X0,null_class)
      | null_class = X1 ),
    inference(superposition,[],[f362,f70]) ).

fof(f3003,definition,
    ( spl0_183
  <=> null_class = unordered_pair(universal_class,universal_class) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f3004,plain,
    ( null_class != unordered_pair(universal_class,universal_class)
    | spl0_183 ),
    inference(avatar_component_clause,[],[f3003]) ).

fof(f3005,plain,
    ( null_class = unordered_pair(universal_class,universal_class)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f3003]) ).

fof(f3017,definition,
    ( spl0_186
  <=> universal_class = regular(unordered_pair(universal_class,universal_class)) ),
    introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).

fof(f3018,plain,
    ( universal_class != regular(unordered_pair(universal_class,universal_class))
    | spl0_186 ),
    inference(avatar_component_clause,[],[f3017]) ).

fof(f3019,plain,
    ( universal_class = regular(unordered_pair(universal_class,universal_class))
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f3017]) ).

fof(f5385,definition,
    ( spl0_268
  <=> ! [X1] : subclass(null_class,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).

fof(f5386,plain,
    ( ! [X1] : subclass(null_class,X1)
    | ~ spl0_268 ),
    inference(avatar_component_clause,[],[f5385]) ).

fof(f8093,plain,
    null_class = complement(universal_class),
    inference(resolution,[],[f712,f4]) ).

fof(f8994,definition,
    ( spl0_451
  <=> subclass(unordered_pair(universal_class,universal_class),null_class) ),
    introduced(definition,[new_symbols(definition,[spl0_451])],[avatar_definition]) ).

fof(f8995,plain,
    ( subclass(unordered_pair(universal_class,universal_class),null_class)
    | ~ spl0_451 ),
    inference(avatar_component_clause,[],[f8994]) ).

fof(f8996,plain,
    ( ~ subclass(unordered_pair(universal_class,universal_class),null_class)
    | spl0_451 ),
    inference(avatar_component_clause,[],[f8994]) ).

fof(f9007,plain,
    ( universal_class = not_subclass_element(unordered_pair(universal_class,universal_class),null_class)
    | universal_class = not_subclass_element(unordered_pair(universal_class,universal_class),null_class)
    | spl0_451 ),
    inference(resolution,[],[f8996,f356]) ).

fof(f9008,plain,
    ( universal_class = not_subclass_element(unordered_pair(universal_class,universal_class),null_class)
    | spl0_451 ),
    inference(duplicate_literal_removal,[],[f9007]) ).

fof(f10855,plain,
    ( member(universal_class,null_class)
    | ~ member(universal_class,universal_class)
    | ~ spl0_451 ),
    inference(resolution,[],[f8995,f227]) ).

fof(f10877,plain,
    ( member(universal_class,null_class)
    | ~ spl0_451 ),
    inference(forward_subsumption_resolution,[],[f10855,f390]) ).

fof(f11044,definition,
    ( spl0_583
  <=> member(regular(unordered_pair(universal_class,universal_class)),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl0_583])],[avatar_definition]) ).

fof(f11045,plain,
    ( ~ member(regular(unordered_pair(universal_class,universal_class)),universal_class)
    | spl0_583 ),
    inference(avatar_component_clause,[],[f11044]) ).

fof(f11046,plain,
    ( member(regular(unordered_pair(universal_class,universal_class)),universal_class)
    | ~ spl0_583 ),
    inference(avatar_component_clause,[],[f11044]) ).

fof(f13462,plain,
    ( ! [X0] :
        ( ~ member(universal_class,regular(X0))
        | ~ member(universal_class,X0)
        | subclass(unordered_pair(universal_class,universal_class),null_class)
        | null_class = X0 )
    | spl0_451 ),
    inference(superposition,[],[f1271,f9008]) ).

fof(f13483,plain,
    ( ! [X0] :
        ( ~ member(universal_class,regular(X0))
        | ~ member(universal_class,X0)
        | null_class = X0 )
    | spl0_451 ),
    inference(forward_subsumption_resolution,[],[f13462,f8996]) ).

fof(f14976,definition,
    ( spl0_796
  <=> ! [X0] : null_class = intersection(null_class,X0) ),
    introduced(definition,[new_symbols(definition,[spl0_796])],[avatar_definition]) ).

fof(f14977,plain,
    ( ! [X0] : null_class = intersection(null_class,X0)
    | ~ spl0_796 ),
    inference(avatar_component_clause,[],[f14976]) ).

fof(f16496,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(null_class,X0)
        | member(regular(intersection(null_class,X0)),X1) )
    | ~ spl0_268 ),
    inference(resolution,[],[f5386,f764]) ).

fof(f16756,definition,
    ( spl0_879
  <=> ! [X2,X0] :
        ( member(regular(intersection(null_class,X0)),X2)
        | null_class = intersection(null_class,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_879])],[avatar_definition]) ).

fof(f16757,plain,
    ( ! [X2,X0] :
        ( member(regular(intersection(null_class,X0)),X2)
        | null_class = intersection(null_class,X0) )
    | ~ spl0_879 ),
    inference(avatar_component_clause,[],[f16756]) ).

fof(f17268,plain,
    ( ! [X0] :
        ( null_class != null_class
        | ~ member(X0,domain_of(null_class)) )
    | ~ spl0_796 ),
    inference(superposition,[],[f143,f14977]) ).

fof(f17290,plain,
    ( ! [X0] : ~ member(X0,domain_of(null_class))
    | ~ spl0_796 ),
    inference(trivial_inequality_removal,[],[f17268]) ).

fof(f17320,plain,
    ( null_class = domain_of(null_class)
    | ~ spl0_796 ),
    inference(resolution,[],[f17290,f68]) ).

fof(f17331,definition,
    ( spl0_897
  <=> null_class = domain_of(null_class) ),
    introduced(definition,[new_symbols(definition,[spl0_897])],[avatar_definition]) ).

fof(f17333,plain,
    ( null_class = domain_of(null_class)
    | ~ spl0_897 ),
    inference(avatar_component_clause,[],[f17331]) ).

fof(f17335,plain,
    ( spl0_897
    | ~ spl0_796 ),
    inference(avatar_split_clause,[],[f17320,f14976,f17331]) ).

fof(f17531,plain,
    ( ! [X0] : ~ member(X0,null_class)
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(superposition,[],[f17290,f17333]) ).

fof(f17595,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(X1,unordered_pair(X0,X2))
        | ~ member(X1,X0)
        | null_class = unordered_pair(X0,X2)
        | regular(unordered_pair(X0,X2)) = X2 )
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(backward_subsumption_resolution,[],[f1077,f17531]) ).

fof(f17624,plain,
    ( ! [X0] : subclass(X0,complement(null_class))
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(resolution,[],[f17531,f1057]) ).

fof(f17689,plain,
    ( member(universal_class,complement(null_class))
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(resolution,[],[f17624,f397]) ).

fof(f17736,definition,
    ( spl0_919
  <=> member(universal_class,complement(null_class)) ),
    introduced(definition,[new_symbols(definition,[spl0_919])],[avatar_definition]) ).

fof(f17738,plain,
    ( member(universal_class,complement(null_class))
    | ~ spl0_919 ),
    inference(avatar_component_clause,[],[f17736]) ).

fof(f17754,plain,
    ( spl0_919
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(avatar_split_clause,[],[f17689,f17331,f14976,f17736]) ).

fof(f18260,plain,
    ( ~ member(universal_class,null_class)
    | ~ spl0_919 ),
    inference(resolution,[],[f17738,f24]) ).

fof(f18553,plain,
    ( member(universal_class,null_class)
    | ~ member(universal_class,universal_class)
    | ~ spl0_183 ),
    inference(superposition,[],[f10,f3005]) ).

fof(f18766,definition,
    ( spl0_956
  <=> member(universal_class,null_class) ),
    introduced(definition,[new_symbols(definition,[spl0_956])],[avatar_definition]) ).

fof(f18778,plain,
    ( ~ spl0_956
    | ~ spl0_919 ),
    inference(avatar_split_clause,[],[f18260,f17736,f18766]) ).

fof(f18779,plain,
    ( member(universal_class,null_class)
    | ~ spl0_183 ),
    inference(forward_subsumption_resolution,[],[f18553,f390]) ).

fof(f18882,plain,
    ( spl0_956
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f18779,f3003,f18766]) ).

fof(f28115,plain,
    ( ! [X0,X1] :
        ( null_class = intersection(null_class,X0)
        | ~ member(regular(intersection(null_class,X0)),X1) )
    | ~ spl0_879 ),
    inference(resolution,[],[f16757,f24]) ).

fof(f28151,plain,
    ( ! [X0] : null_class = intersection(null_class,X0)
    | ~ spl0_879 ),
    inference(forward_subsumption_resolution,[],[f28115,f16757]) ).

fof(f28160,plain,
    ( spl0_796
    | ~ spl0_879 ),
    inference(avatar_split_clause,[],[f28151,f16756,f14976]) ).

fof(f43026,plain,
    ( ~ member(universal_class,universal_class)
    | ~ member(universal_class,unordered_pair(universal_class,universal_class))
    | null_class = unordered_pair(universal_class,universal_class)
    | ~ spl0_186
    | spl0_451 ),
    inference(superposition,[],[f13483,f3019]) ).

fof(f43029,plain,
    ( ~ member(universal_class,universal_class)
    | null_class = unordered_pair(universal_class,universal_class)
    | ~ spl0_186
    | spl0_451 ),
    inference(forward_subsumption_resolution,[],[f43026,f9]) ).

fof(f43054,plain,
    ( null_class = unordered_pair(universal_class,universal_class)
    | ~ spl0_186
    | spl0_451 ),
    inference(forward_subsumption_resolution,[],[f43029,f390]) ).

fof(f43063,plain,
    ( $false
    | spl0_183
    | ~ spl0_186
    | spl0_451 ),
    inference(forward_subsumption_resolution,[],[f43054,f3004]) ).

fof(f43064,plain,
    ( spl0_183
    | ~ spl0_186
    | spl0_451 ),
    inference(avatar_contradiction_clause,[],[f43063]) ).

fof(f43992,plain,
    ( ~ subclass(unordered_pair(universal_class,universal_class),universal_class)
    | null_class = unordered_pair(universal_class,universal_class)
    | spl0_583 ),
    inference(resolution,[],[f11045,f234]) ).

fof(f43993,plain,
    ( null_class = unordered_pair(universal_class,universal_class)
    | spl0_583 ),
    inference(forward_subsumption_resolution,[],[f43992,f4]) ).

fof(f43994,plain,
    ( $false
    | spl0_183
    | spl0_583 ),
    inference(forward_subsumption_resolution,[],[f43993,f3004]) ).

fof(f43995,plain,
    ( spl0_183
    | spl0_583 ),
    inference(avatar_contradiction_clause,[],[f43994]) ).

fof(f45303,plain,
    ( spl0_956
    | ~ spl0_451 ),
    inference(avatar_split_clause,[],[f10877,f8994,f18766]) ).

fof(f70676,plain,
    ! [X0] :
      ( ~ subclass(null_class,universal_class)
      | subclass(null_class,X0) ),
    inference(superposition,[],[f838,f8093]) ).

fof(f70694,plain,
    ! [X0] : subclass(null_class,X0),
    inference(forward_subsumption_resolution,[],[f70676,f4]) ).

fof(f70712,plain,
    spl0_268,
    inference(avatar_split_clause,[],[f70694,f5385]) ).

fof(f70818,plain,
    ( spl0_879
    | ~ spl0_268 ),
    inference(avatar_split_clause,[],[f16496,f5385,f16756]) ).

fof(f74319,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(unordered_pair(X0,X1)),X0)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1
        | unordered_pair(X0,X1) = null_class )
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(resolution,[],[f17595,f68]) ).

fof(f74360,plain,
    ( ! [X0,X1] :
        ( ~ member(regular(unordered_pair(X0,X1)),X0)
        | unordered_pair(X0,X1) = null_class
        | regular(unordered_pair(X0,X1)) = X1 )
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(duplicate_literal_removal,[],[f74319]) ).

fof(f81901,plain,
    ( null_class = unordered_pair(universal_class,universal_class)
    | universal_class = regular(unordered_pair(universal_class,universal_class))
    | ~ spl0_583
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(resolution,[],[f74360,f11046]) ).

fof(f81976,plain,
    ( universal_class = regular(unordered_pair(universal_class,universal_class))
    | spl0_183
    | ~ spl0_583
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(forward_subsumption_resolution,[],[f81901,f3004]) ).

fof(f81984,plain,
    ( $false
    | spl0_183
    | spl0_186
    | ~ spl0_583
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(forward_subsumption_resolution,[],[f81976,f3018]) ).

fof(f81985,plain,
    ( spl0_183
    | spl0_186
    | ~ spl0_583
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(avatar_contradiction_clause,[],[f81984]) ).

cnf(s1759,plain,
    ( ~ spl0_796
    | spl0_897 ),
    inference(sat_conversion,[],[f17335]) ).

cnf(s1798,plain,
    ( ~ spl0_796
    | ~ spl0_897
    | spl0_919 ),
    inference(sat_conversion,[],[f17754]) ).

cnf(s1897,plain,
    ( ~ spl0_919
    | ~ spl0_956 ),
    inference(sat_conversion,[],[f18778]) ).

cnf(s1927,plain,
    ( ~ spl0_183
    | spl0_956 ),
    inference(sat_conversion,[],[f18882]) ).

cnf(s2631,plain,
    ( spl0_796
    | ~ spl0_879 ),
    inference(sat_conversion,[],[f28160]) ).

cnf(s4673,plain,
    ( spl0_183
    | ~ spl0_186
    | spl0_451 ),
    inference(sat_conversion,[],[f43064]) ).

cnf(s4797,plain,
    ( spl0_183
    | spl0_583 ),
    inference(sat_conversion,[],[f43995]) ).

cnf(s5055,plain,
    ( ~ spl0_451
    | spl0_956 ),
    inference(sat_conversion,[],[f45303]) ).

cnf(s9794,plain,
    spl0_268,
    inference(sat_conversion,[],[f70712]) ).

cnf(s9798,plain,
    ( ~ spl0_268
    | spl0_879 ),
    inference(sat_conversion,[],[f70818]) ).

cnf(s11120,plain,
    ( spl0_183
    | spl0_186
    | ~ spl0_583
    | ~ spl0_796
    | ~ spl0_897 ),
    inference(sat_conversion,[],[f81985]) ).

cnf(s11131,plain,
    spl0_879,
    inference(rat,[],[s9798,s9794]) ).

cnf(s11174,plain,
    spl0_796,
    inference(rat,[],[s2631,s11131]) ).

cnf(s11224,plain,
    ( ~ spl0_897
    | spl0_919 ),
    inference(rat,[],[s1798,s11174]) ).

cnf(s11249,plain,
    spl0_897,
    inference(rat,[],[s1759,s11174]) ).

cnf(s11267,plain,
    spl0_919,
    inference(rat,[],[s11224,s11249]) ).

cnf(s11276,plain,
    ~ spl0_956,
    inference(rat,[],[s1897,s11267]) ).

cnf(s11285,plain,
    ~ spl0_451,
    inference(rat,[],[s5055,s11276]) ).

cnf(s11286,plain,
    ~ spl0_183,
    inference(rat,[],[s1927,s11276]) ).

cnf(s11288,plain,
    spl0_583,
    inference(rat,[],[s4797,s11286]) ).

cnf(s11289,plain,
    ~ spl0_186,
    inference(rat,[],[s4673,s11285,s11286]) ).

cnf(s11293,plain,
    $false,
    inference(rat,[],[s11120,s11249,s11174,s11286,s11288,s11289]) ).

fof(f81996,plain,
    $false,
    inference(avatar_sat_refutation,[],[s11293]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET505-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38  % Computer : n004.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 28 02:01:07 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42  Running first-order model finding
% 0.13/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.51/2.82  % (4073021)Will run a generic schedule for satisfiability detection.
% 16.51/2.82  % (4073031)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=677209870:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.51/2.82  % (4073027)% WARNING: option uhcvi not known.
% 16.51/2.82  % (4073027)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4205490095:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.51/2.82  % (4073026)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2290065717_2999 on theBenchmark for (2999ds/0Mi)
% 16.51/2.82  % (4073032)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4062688786:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.51/2.82  % (4073028)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1085321730:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.51/2.82  % (4073029)dis+10_1_sil=32000:sp=arity:random_seed=922493219:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.51/2.82  % (4073030)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3912648455:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.51/2.82  % (4073031)Instruction limit reached! 
% 16.51/2.82  % (4073031)------------------------------
% 16.51/2.82  % (4073031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.82  % (4073031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/2.82  % (4073031)CaDiCaL version: 2.1.3
% 16.51/2.82  % (4073031)Termination reason: Instruction limit
% 16.51/2.82  % (4073031)Termination phase: Saturation
% 16.51/2.82  % (4073031)Time elapsed: 0.043 s
% 16.51/2.82  % (4073031)Peak memory usage: 13 MB
% 16.51/2.82  % (4073031)Instructions burned: 135 (million)
% 16.51/2.82  % (4073040)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2404354523:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.51/2.82  % (4073029)Instruction limit reached! 
% 16.51/2.82  % (4073029)------------------------------
% 16.51/2.82  % (4073029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.82  % (4073029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/2.82  % (4073029)CaDiCaL version: 2.1.3
% 16.51/2.82  % (4073029)Termination reason: Instruction limit
% 16.51/2.82  % (4073029)Termination phase: Saturation
% 16.51/2.82  % (4073029)Time elapsed: 0.065 s
% 16.51/2.82  % (4073029)Peak memory usage: 13 MB
% 16.51/2.82  % (4073029)Instructions burned: 103 (million)
% 16.51/2.82  % (4073030)Instruction limit reached! 
% 16.51/2.82  % (4073030)------------------------------
% 16.51/2.82  % (4073030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.82  % (4073030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/2.82  % (4073030)CaDiCaL version: 2.1.3
% 16.51/2.82  % (4073030)Termination reason: Instruction limit
% 16.51/2.82  % (4073030)Termination phase: Saturation
% 16.51/2.82  % (4073030)Time elapsed: 0.069 s
% 16.51/2.82  % (4073030)Peak memory usage: 13 MB
% 16.51/2.82  % (4073030)Instructions burned: 117 (million)
% 16.51/2.82  % (4073042)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1199079519:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.51/2.82  % (4073043)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=851776730:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.51/2.82  % (4073032)Instruction limit reached! 
% 16.51/2.82  % (4073032)------------------------------
% 16.51/2.82  % (4073032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.82  % (4073032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/2.82  % (4073032)CaDiCaL version: 2.1.3
% 16.51/2.82  % (4073032)Termination reason: Instruction limit
% 16.51/2.82  % (4073032)Termination phase: Saturation
% 16.51/2.82  % (4073032)Time elapsed: 0.106 s
% 16.51/2.82  % (4073032)Peak memory usage: 13 MB
% 16.51/2.82  % (4073032)Instructions burned: 160 (million)
% 16.51/2.82  % (4073046)ott-21_1_sil=16000:fs=off:random_seed=423226723:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.51/2.82  % TRYING [1]
% 16.51/2.82  % TRYING [2]
% 16.51/2.82  % TRYING [3]
% 16.51/2.82  % (4073042)Instruction limit reached! 
% 16.51/2.82  % (4073042)------------------------------
% 16.51/2.82  % (4073042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.82  % (4073042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073042)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073042)Termination reason: Instruction limit
% 11.20/3.96  % (4073042)Termination phase: Saturation
% 11.20/3.96  % (4073042)Time elapsed: 0.085 s
% 11.20/3.96  % (4073042)Peak memory usage: 14 MB
% 11.20/3.96  % (4073042)Instructions burned: 132 (million)
% 11.20/3.96  % (4073048)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1454838436:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.20/3.96  % TRYING [1]
% 11.20/3.96  % TRYING [2]
% 11.20/3.96  % (4073040)Instruction limit reached! 
% 11.20/3.96  % (4073040)------------------------------
% 11.20/3.96  % (4073040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073040)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073040)Termination reason: Instruction limit
% 11.20/3.96  % (4073040)Termination phase: Finite model building constraint generation
% 11.20/3.96  % (4073040)Time elapsed: 0.176 s
% 11.20/3.96  % (4073040)Peak memory usage: 34 MB
% 11.20/3.96  % (4073040)Instructions burned: 718 (million)
% 11.20/3.96  % TRYING [3]
% 11.20/3.96  % (4073046)Instruction limit reached! 
% 11.20/3.96  % (4073046)------------------------------
% 11.20/3.96  % (4073046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073046)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073046)Termination reason: Instruction limit
% 11.20/3.96  % (4073046)Termination phase: Saturation
% 11.20/3.96  % (4073046)Time elapsed: 0.106 s
% 11.20/3.96  % (4073046)Peak memory usage: 12 MB
% 11.20/3.96  % (4073046)Instructions burned: 182 (million)
% 11.20/3.96  % (4073050)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3158705084:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.20/3.96  % (4073051)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1016479643:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.20/3.96  % TRYING [1]
% 11.20/3.96  % TRYING [2]
% 11.20/3.96  % TRYING [4]
% 11.20/3.96  % TRYING [3]
% 11.20/3.96  % (4073050)Instruction limit reached! 
% 11.20/3.96  % (4073050)------------------------------
% 11.20/3.96  % (4073050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073050)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073050)Termination reason: Instruction limit
% 11.20/3.96  % (4073050)Termination phase: Finite model building constraint generation
% 11.20/3.96  % (4073050)Time elapsed: 0.214 s
% 11.20/3.96  % (4073050)Peak memory usage: 25 MB
% 11.20/3.96  % (4073050)Instructions burned: 869 (million)
% 11.20/3.96  % (4073054)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=928554344:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.20/3.96  % (4073043)Instruction limit reached! 
% 11.20/3.96  % (4073043)------------------------------
% 11.20/3.96  % (4073043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073043)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073043)Termination reason: Instruction limit
% 11.20/3.96  % (4073043)Termination phase: Saturation
% 11.20/3.96  % (4073043)Time elapsed: 0.423 s
% 11.20/3.96  % (4073043)Peak memory usage: 18 MB
% 11.20/3.96  % (4073043)Instructions burned: 686 (million)
% 11.20/3.96  % (4073048)Instruction limit reached! 
% 11.20/3.96  % (4073048)------------------------------
% 11.20/3.96  % (4073048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073048)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073048)Termination reason: Instruction limit
% 11.20/3.96  % (4073048)Termination phase: Saturation
% 11.20/3.96  % (4073048)Time elapsed: 0.332 s
% 11.20/3.96  % (4073048)Peak memory usage: 14 MB
% 11.20/3.96  % (4073048)Instructions burned: 478 (million)
% 11.20/3.96  % (4073056)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2654948854:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 11.20/3.96  % (4073057)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=707859222:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.20/3.96  % (4073054)Instruction limit reached! 
% 11.20/3.96  % (4073054)------------------------------
% 11.20/3.96  % (4073054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073054)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073054)Termination reason: Instruction limit
% 11.20/3.96  % (4073054)Termination phase: Finite model building constraint generation
% 11.20/3.96  % (4073054)Time elapsed: 0.249 s
% 11.20/3.96  % (4073054)Peak memory usage: 75 MB
% 11.20/3.96  % (4073054)Instructions burned: 895 (million)
% 11.20/3.96  % (4073060)fmb+10_1_sil=64000:random_seed=460215446:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 11.20/3.96  % TRYING [1]
% 11.20/3.96  % TRYING [2]
% 11.20/3.96  % (4073056)Instruction limit reached! 
% 11.20/3.96  % (4073056)------------------------------
% 11.20/3.96  % (4073056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073056)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073056)Termination reason: Instruction limit
% 11.20/3.96  % (4073056)Termination phase: Saturation
% 11.20/3.96  % (4073056)Time elapsed: 0.340 s
% 11.20/3.96  % (4073056)Peak memory usage: 21 MB
% 11.20/3.96  % (4073056)Instructions burned: 694 (million)
% 11.20/3.96  % (4073062)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4079053943:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 11.20/3.96  % TRYING [3]
% 11.20/3.96  % (4073051)Instruction limit reached! 
% 11.20/3.96  % (4073051)------------------------------
% 11.20/3.96  % (4073051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073051)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073051)Termination reason: Instruction limit
% 11.20/3.96  % (4073051)Termination phase: Saturation
% 11.20/3.96  % (4073051)Time elapsed: 0.687 s
% 11.20/3.96  % (4073051)Peak memory usage: 20 MB
% 11.20/3.96  % (4073051)Instructions burned: 1179 (million)
% 11.20/3.96  % (4073064)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1051639779:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 11.20/3.96  % (4073057)Instruction limit reached! 
% 11.20/3.96  % (4073057)------------------------------
% 11.20/3.96  % (4073057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073057)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073057)Termination reason: Instruction limit
% 11.20/3.96  % (4073057)Termination phase: Saturation
% 11.20/3.96  % (4073057)Time elapsed: 0.487 s
% 11.20/3.96  % (4073057)Peak memory usage: 19 MB
% 11.20/3.96  % (4073057)Instructions burned: 880 (million)
% 11.20/3.96  % (4073066)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3793788658:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 11.20/3.96  % TRYING [20]
% 11.20/3.96  % TRYING [8]
% 11.20/3.96  % TRYING [5]
% 11.20/3.96  % TRYING [4]
% 11.20/3.96  % (4073064)Instruction limit reached! 
% 11.20/3.96  % (4073064)------------------------------
% 11.20/3.96  % (4073064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073064)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073064)Termination reason: Instruction limit
% 11.20/3.96  % (4073064)Termination phase: Finite model building constraint generation
% 11.20/3.96  % (4073064)Time elapsed: 0.383 s
% 11.20/3.96  % (4073064)Peak memory usage: 48 MB
% 11.20/3.96  % (4073064)Instructions burned: 921 (million)
% 11.20/3.96  % (4073068)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3755432844:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 11.20/3.96  % (4073068)Instruction limit reached! 
% 11.20/3.96  % (4073068)------------------------------
% 11.20/3.96  % (4073068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073068)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073068)Termination reason: Instruction limit
% 11.20/3.96  % (4073068)Termination phase: Saturation
% 11.20/3.96  % (4073068)Time elapsed: 0.752 s
% 11.20/3.96  % (4073068)Peak memory usage: 25 MB
% 11.20/3.96  % (4073068)Instructions burned: 1475 (million)
% 11.20/3.96  % (4073070)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=721236990:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 11.20/3.96  % (4073070)Cannot represent all propositional literals internally
% 11.20/3.96  % (4073070)Refutation not found, incomplete strategy
% 11.20/3.96  % (4073070)------------------------------
% 11.20/3.96  % (4073070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.96  % (4073070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.96  % (4073070)CaDiCaL version: 2.1.3
% 11.20/3.96  % (4073070)Termination reason: Refutation not found, incomplete strategy
% 11.20/3.96  % (4073070)Time elapsed: 0.201 s
% 11.20/3.96  % (4073070)Peak memory usage: 13 MB
% 11.20/3.96  % (4073070)Instructions burned: 388 (million)
% 11.20/3.96  % (4073070)------------------------------
% 11.20/3.96  % (4073070)------------------------------
% 11.20/3.96  % (4073072)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2278840741:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 11.20/3.96  % TRYING [5]
% 11.20/3.96  % (4073027) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4073021-4073027"...
% 11.20/3.96  % (4073027)...printing done.
% 11.20/3.96  % (4073027)Refutation found. Thanks to Tanya!
% 11.20/3.96  % SZS status Unsatisfiable for theBenchmark
% 11.20/3.96  % SZS output start Proof for theBenchmark
% See solution above
% 11.20/3.97  % (4073027)------------------------------
% 11.20/3.97  % (4073027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.20/3.97  % (4073027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/3.97  % (4073027)CaDiCaL version: 2.1.3
% 11.20/3.97  % (4073027)Termination reason: Refutation
% 11.20/3.97  % (4073027)Time elapsed: 3.408 s
% 11.20/3.97  % (4073027)Peak memory usage: 52 MB
% 11.20/3.97  % (4073027)Instructions burned: 5792 (million)
% 11.20/3.97  % (4073021)Success in time 3.534 s
% 11.20/3.97  % Vampire exiting
%------------------------------------------------------------------------------