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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET280-6 : 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 : n017.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 12:40:41 PM UTC 2026

% Result   : Unsatisfiable 7.36s 1.86s
% Output   : Refutation 9.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  139 (  37 unt;  10 def)
%            Number of atoms       :  285 (  57 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  262 ( 116   ~; 138   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   9 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :  134 (   0 sgn 134   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ subclass(X0,X1)
      | member(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | subclass(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass2) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).

fof(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(f28,axiom,
    ! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',domain2) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | null_class = restrict(X1,singleton(X0),universal_class)
      | member(X0,domain_of(X1)) ),
    inference(reorient_equations,[],[f31]) ).

fof(f67,axiom,
    ! [X0] :
      ( X0 = null_class
      | member(regular(X0),X0) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',regularity2) ).

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

fof(f122,negated_conjecture,
    domain_of(x) = null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_property6_1) ).

fof(f123,plain,
    null_class = domain_of(x),
    inference(reorient_equations,[],[f122]) ).

fof(f124,negated_conjecture,
    subclass(x,cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_property6_2) ).

fof(f125,negated_conjecture,
    x != null_class,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_property6_3) ).

fof(f126,plain,
    null_class != x,
    inference(reorient_equations,[],[f125]) ).

fof(f131,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(f140,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,f131]) ).

fof(f141,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,f131]) ).

fof(f142,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,f131]) ).

fof(f143,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,f131]) ).

fof(f147,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(f148,plain,
    ! [X0,X1] :
      ( member(X0,domain_of(X1))
      | null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
      | ~ member(X0,universal_class) ),
    inference(definition_unfolding,[],[f32,f28,f12]) ).

fof(f190,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f6]) ).

fof(f193,definition,
    sF0 = domain_of(x),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f194,plain,
    domain_of(x) = sF0,
    inference(reorient_equations,[],[f193]) ).

fof(f195,plain,
    null_class = sF0,
    inference(definition_folding,[],[f123,f194]) ).

fof(f196,definition,
    sF1 = cross_product(universal_class,universal_class),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f197,plain,
    cross_product(universal_class,universal_class) = sF1,
    inference(reorient_equations,[],[f196]) ).

fof(f198,plain,
    subclass(x,sF1),
    inference(definition_folding,[],[f124,f197]) ).

fof(f199,plain,
    null_class = domain_of(x),
    inference(forward_demodulation,[],[f194,f195]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(X0,X1),X2)
      | ~ subclass(X0,X2)
      | subclass(X0,X1) ),
    inference(resolution,[],[f2,f1]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X0)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[],[f21,f2]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ member(X0,null_class)
      | member(X0,X1)
      | null_class = X1 ),
    inference(superposition,[],[f21,f70]) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( member(not_subclass_element(intersection(X0,X1),X2),X1)
      | subclass(intersection(X0,X1),X2) ),
    inference(resolution,[],[f22,f2]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(null_class,X0),X1)
      | null_class = X1
      | subclass(null_class,X0) ),
    inference(resolution,[],[f221,f2]) ).

fof(f235,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | null_class = intersection(x,cross_product(unordered_pair(X0,X0),universal_class))
      | member(X0,null_class) ),
    inference(superposition,[],[f148,f199]) ).

fof(f256,plain,
    ! [X0] :
      ( null_class = X0
      | subclass(null_class,X0)
      | subclass(null_class,X0) ),
    inference(resolution,[],[f229,f3]) ).

fof(f263,plain,
    ! [X0] :
      ( subclass(null_class,X0)
      | null_class = X0 ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f316,plain,
    ! [X0] :
      ( null_class = X0
      | ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(resolution,[],[f263,f7]) ).

fof(f317,plain,
    ! [X0] :
      ( ~ subclass(X0,null_class)
      | null_class = X0 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f325,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(f392,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X0)
      | subclass(intersection(X0,X1),X0) ),
    inference(resolution,[],[f218,f3]) ).

fof(f402,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f392]) ).

fof(f403,plain,
    ! [X0,X1] :
      ( subclass(intersection(X0,X1),X1)
      | subclass(intersection(X0,X1),X1) ),
    inference(resolution,[],[f224,f3]) ).

fof(f413,plain,
    ! [X0,X1] : subclass(intersection(X0,X1),X1),
    inference(duplicate_literal_removal,[],[f403]) ).

fof(f416,plain,
    ! [X0] : null_class = intersection(null_class,X0),
    inference(resolution,[],[f402,f317]) ).

fof(f418,plain,
    ! [X0] :
      ( null_class != null_class
      | ~ member(X0,domain_of(null_class)) ),
    inference(superposition,[],[f147,f416]) ).

fof(f426,plain,
    ! [X0] : ~ member(X0,domain_of(null_class)),
    inference(trivial_inequality_removal,[],[f418]) ).

fof(f430,plain,
    null_class = domain_of(null_class),
    inference(resolution,[],[f426,f68]) ).

fof(f439,definition,
    ( spl2_10
  <=> null_class = domain_of(null_class) ),
    introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).

fof(f441,plain,
    ( null_class = domain_of(null_class)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f443,plain,
    spl2_10,
    inference(avatar_split_clause,[],[f430,f439]) ).

fof(f444,plain,
    ( ! [X0] : ~ member(X0,null_class)
    | ~ spl2_10 ),
    inference(superposition,[],[f426,f441]) ).

fof(f448,plain,
    ! [X0] : null_class = intersection(X0,null_class),
    inference(resolution,[],[f413,f317]) ).

fof(f533,plain,
    ! [X2,X0,X1] :
      ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
      | subclass(X0,intersection(X1,X2))
      | ~ subclass(X0,X2)
      | subclass(X0,intersection(X1,X2)) ),
    inference(resolution,[],[f325,f210]) ).

fof(f541,plain,
    ! [X2,X0,X1] :
      ( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
      | subclass(X0,intersection(X1,X2))
      | ~ subclass(X0,X2) ),
    inference(duplicate_literal_removal,[],[f533]) ).

fof(f548,plain,
    ! [X0,X1] :
      ( subclass(X0,intersection(X0,X1))
      | ~ subclass(X0,X1)
      | subclass(X0,intersection(X0,X1)) ),
    inference(resolution,[],[f541,f2]) ).

fof(f566,plain,
    ! [X0,X1] :
      ( subclass(X0,intersection(X0,X1))
      | ~ subclass(X0,X1) ),
    inference(duplicate_literal_removal,[],[f548]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(intersection(X0,X1),X0)
      | intersection(X0,X1) = X0 ),
    inference(resolution,[],[f566,f7]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | intersection(X0,X1) = X0 ),
    inference(forward_subsumption_resolution,[],[f568,f402]) ).

fof(f584,plain,
    x = intersection(x,sF1),
    inference(resolution,[],[f576,f198]) ).

fof(f589,plain,
    ! [X0] :
      ( member(not_subclass_element(x,X0),sF1)
      | subclass(x,X0) ),
    inference(superposition,[],[f224,f584]) ).

fof(f707,definition,
    ( spl2_30
  <=> subclass(x,null_class) ),
    introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ subclass(x,null_class)
    | spl2_30 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( subclass(x,null_class)
    | ~ spl2_30 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f894,plain,
    ! [X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
      | member(X1,universal_class) ),
    inference(superposition,[],[f141,f197]) ).

fof(f897,plain,
    ! [X0,X1] :
      ( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF1)
      | member(X0,universal_class) ),
    inference(superposition,[],[f140,f197]) ).

fof(f950,plain,
    ! [X0] :
      ( ~ member(X0,sF1)
      | unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0 ),
    inference(superposition,[],[f143,f197]) ).

fof(f978,plain,
    ! [X0] :
      ( subclass(x,X0)
      | not_subclass_element(x,X0) = unordered_pair(unordered_pair(first(not_subclass_element(x,X0)),first(not_subclass_element(x,X0))),unordered_pair(first(not_subclass_element(x,X0)),unordered_pair(second(not_subclass_element(x,X0)),second(not_subclass_element(x,X0))))) ),
    inference(resolution,[],[f950,f589]) ).

fof(f1036,plain,
    ( not_subclass_element(x,null_class) = unordered_pair(unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))),unordered_pair(first(not_subclass_element(x,null_class)),unordered_pair(second(not_subclass_element(x,null_class)),second(not_subclass_element(x,null_class)))))
    | null_class = x ),
    inference(resolution,[],[f978,f317]) ).

fof(f1039,plain,
    not_subclass_element(x,null_class) = unordered_pair(unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))),unordered_pair(first(not_subclass_element(x,null_class)),unordered_pair(second(not_subclass_element(x,null_class)),second(not_subclass_element(x,null_class))))),
    inference(forward_subsumption_resolution,[],[f1036,f126]) ).

fof(f1042,plain,
    ! [X0,X1] :
      ( member(not_subclass_element(x,null_class),cross_product(X0,X1))
      | ~ member(second(not_subclass_element(x,null_class)),X1)
      | ~ member(first(not_subclass_element(x,null_class)),X0) ),
    inference(superposition,[],[f142,f1039]) ).

fof(f1045,plain,
    ( ~ member(not_subclass_element(x,null_class),sF1)
    | member(second(not_subclass_element(x,null_class)),universal_class) ),
    inference(superposition,[],[f894,f1039]) ).

fof(f1046,plain,
    ( ~ member(not_subclass_element(x,null_class),sF1)
    | member(first(not_subclass_element(x,null_class)),universal_class) ),
    inference(superposition,[],[f897,f1039]) ).

fof(f1065,definition,
    ( spl2_54
  <=> member(first(not_subclass_element(x,null_class)),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).

fof(f1067,plain,
    ( member(first(not_subclass_element(x,null_class)),universal_class)
    | ~ spl2_54 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1069,definition,
    ( spl2_55
  <=> member(not_subclass_element(x,null_class),sF1) ),
    introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).

fof(f1071,plain,
    ( ~ member(not_subclass_element(x,null_class),sF1)
    | spl2_55 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1072,plain,
    ( spl2_54
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1046,f1069,f1065]) ).

fof(f1074,definition,
    ( spl2_56
  <=> member(second(not_subclass_element(x,null_class)),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).

fof(f1076,plain,
    ( member(second(not_subclass_element(x,null_class)),universal_class)
    | ~ spl2_56 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1077,plain,
    ( spl2_56
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1045,f1069,f1074]) ).

fof(f1084,definition,
    ( spl2_58
  <=> member(not_subclass_element(x,null_class),x) ),
    introduced(definition,[new_symbols(definition,[spl2_58])],[avatar_definition]) ).

fof(f1086,plain,
    ( ~ member(not_subclass_element(x,null_class),x)
    | spl2_58 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f1088,plain,
    ( subclass(x,null_class)
    | spl2_55 ),
    inference(resolution,[],[f1071,f589]) ).

fof(f1092,plain,
    ( spl2_30
    | spl2_55 ),
    inference(avatar_split_clause,[],[f1088,f1069,f707]) ).

fof(f1099,plain,
    ( x = intersection(x,null_class)
    | ~ spl2_30 ),
    inference(resolution,[],[f709,f576]) ).

fof(f1102,plain,
    ( null_class = x
    | ~ spl2_30 ),
    inference(forward_demodulation,[],[f1099,f448]) ).

fof(f1109,plain,
    ( $false
    | ~ spl2_30 ),
    inference(forward_subsumption_resolution,[],[f1102,f126]) ).

fof(f1110,plain,
    ~ spl2_30,
    inference(avatar_contradiction_clause,[],[f1109]) ).

fof(f1118,plain,
    ( null_class = intersection(x,cross_product(unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))),universal_class))
    | member(first(not_subclass_element(x,null_class)),null_class)
    | ~ spl2_54 ),
    inference(resolution,[],[f1067,f235]) ).

fof(f1122,plain,
    ( null_class = intersection(x,cross_product(unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))),universal_class))
    | ~ spl2_10
    | ~ spl2_54 ),
    inference(forward_subsumption_resolution,[],[f1118,f444]) ).

fof(f1127,definition,
    ( spl2_60
  <=> null_class = intersection(x,cross_product(unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))),universal_class)) ),
    introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).

fof(f1129,plain,
    ( null_class = intersection(x,cross_product(unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))),universal_class))
    | ~ spl2_60 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1131,plain,
    ( spl2_60
    | ~ spl2_10
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1122,f1065,f439,f1127]) ).

fof(f1135,plain,
    ( ! [X0] :
        ( member(X0,null_class)
        | ~ member(X0,cross_product(unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))),universal_class))
        | ~ member(X0,x) )
    | ~ spl2_60 ),
    inference(superposition,[],[f23,f1129]) ).

fof(f1147,plain,
    ( ! [X0] :
        ( ~ member(X0,cross_product(unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))),universal_class))
        | ~ member(X0,x) )
    | ~ spl2_10
    | ~ spl2_60 ),
    inference(forward_subsumption_resolution,[],[f1135,f444]) ).

fof(f1547,plain,
    ( ~ member(second(not_subclass_element(x,null_class)),universal_class)
    | ~ member(first(not_subclass_element(x,null_class)),unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))))
    | ~ member(not_subclass_element(x,null_class),x)
    | ~ spl2_10
    | ~ spl2_60 ),
    inference(resolution,[],[f1042,f1147]) ).

fof(f1559,plain,
    ( ~ member(first(not_subclass_element(x,null_class)),unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))))
    | ~ member(not_subclass_element(x,null_class),x)
    | ~ spl2_10
    | ~ spl2_56
    | ~ spl2_60 ),
    inference(forward_subsumption_resolution,[],[f1547,f1076]) ).

fof(f1572,definition,
    ( spl2_94
  <=> member(first(not_subclass_element(x,null_class)),unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class)))) ),
    introduced(definition,[new_symbols(definition,[spl2_94])],[avatar_definition]) ).

fof(f1574,plain,
    ( ~ member(first(not_subclass_element(x,null_class)),unordered_pair(first(not_subclass_element(x,null_class)),first(not_subclass_element(x,null_class))))
    | spl2_94 ),
    inference(avatar_component_clause,[],[f1572]) ).

fof(f1575,plain,
    ( ~ spl2_58
    | ~ spl2_94
    | ~ spl2_10
    | ~ spl2_56
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f1559,f1127,f1074,f439,f1572,f1084]) ).

fof(f1584,plain,
    ( ~ subclass(x,x)
    | subclass(x,null_class)
    | spl2_58 ),
    inference(resolution,[],[f1086,f210]) ).

fof(f1585,plain,
    ( subclass(x,null_class)
    | spl2_58 ),
    inference(forward_subsumption_resolution,[],[f1584,f190]) ).

fof(f1588,plain,
    ( $false
    | spl2_30
    | spl2_58 ),
    inference(forward_subsumption_resolution,[],[f1585,f708]) ).

fof(f1589,plain,
    ( spl2_30
    | spl2_58 ),
    inference(avatar_contradiction_clause,[],[f1588]) ).

fof(f1899,plain,
    ( ~ member(first(not_subclass_element(x,null_class)),universal_class)
    | spl2_94 ),
    inference(resolution,[],[f1574,f9]) ).

fof(f1901,plain,
    ( $false
    | ~ spl2_54
    | spl2_94 ),
    inference(forward_subsumption_resolution,[],[f1899,f1067]) ).

fof(f1902,plain,
    ( ~ spl2_54
    | spl2_94 ),
    inference(avatar_contradiction_clause,[],[f1901]) ).

cnf(s8,plain,
    spl2_10,
    inference(sat_conversion,[],[f443]) ).

cnf(s43,plain,
    ( spl2_54
    | ~ spl2_55 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s44,plain,
    ( ~ spl2_55
    | spl2_56 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s47,plain,
    ( spl2_30
    | spl2_55 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s51,plain,
    ~ spl2_30,
    inference(sat_conversion,[],[f1110]) ).

cnf(s53,plain,
    ( ~ spl2_10
    | ~ spl2_54
    | spl2_60 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s81,plain,
    ( ~ spl2_10
    | ~ spl2_56
    | ~ spl2_58
    | ~ spl2_60
    | ~ spl2_94 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s84,plain,
    ( spl2_30
    | spl2_58 ),
    inference(sat_conversion,[],[f1589]) ).

cnf(s105,plain,
    ( ~ spl2_54
    | spl2_94 ),
    inference(sat_conversion,[],[f1902]) ).

cnf(s110,plain,
    spl2_58,
    inference(rat,[],[s84,s51]) ).

cnf(s111,plain,
    spl2_55,
    inference(rat,[],[s47,s51]) ).

cnf(s113,plain,
    spl2_56,
    inference(rat,[],[s44,s111]) ).

cnf(s114,plain,
    spl2_54,
    inference(rat,[],[s43,s111]) ).

cnf(s115,plain,
    spl2_94,
    inference(rat,[],[s105,s114]) ).

cnf(s124,plain,
    ~ spl2_60,
    inference(rat,[],[s81,s115,s113,s110,s8]) ).

cnf(s128,plain,
    $false,
    inference(rat,[],[s53,s114,s124,s8]) ).

fof(f1903,plain,
    $false,
    inference(avatar_sat_refutation,[],[s128]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET280-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n017.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 01:13:36 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  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
% 7.36/1.86  % (3131094)Input is clausal, will run a generic CNF schedule.
% 7.36/1.86  % (3131102)lrs+10_1_sil=8000:sp=occurrence:random_seed=904673871:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.36/1.86  % (3131105)dis-21_1_sil=8000:lcm=predicate:random_seed=1871217297: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)
% 7.36/1.86  % (3131104)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2891954351:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.36/1.86  % (3131100)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4117742197:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.36/1.86  % (3131101)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3121528535:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.36/1.86  % (3131099)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=3182786020:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.36/1.86  % (3131103)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1746731316:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.36/1.86  % (3131102)Refutation not found, incomplete strategy
% 7.36/1.86  % (3131102)------------------------------
% 7.36/1.86  % (3131102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131102)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131102)Termination reason: Refutation not found, incomplete strategy
% 7.36/1.86  % (3131102)Time elapsed: 0.002 s
% 7.36/1.86  % (3131102)Peak memory usage: 88 MB
% 7.36/1.86  % (3131102)Instructions burned: 1 (million)
% 7.36/1.86  % (3131105)Instruction limit reached! 
% 7.36/1.86  % (3131105)------------------------------
% 7.36/1.86  % (3131105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131105)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131105)Termination reason: Instruction limit
% 7.36/1.86  % (3131105)Termination phase: Saturation
% 7.36/1.86  % (3131105)Time elapsed: 0.067 s
% 7.36/1.86  % (3131105)Peak memory usage: 89 MB
% 7.36/1.86  % (3131105)Instructions burned: 117 (million)
% 7.36/1.86  % (3131103)Instruction limit reached! 
% 7.36/1.86  % (3131103)------------------------------
% 7.36/1.86  % (3131103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131103)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131103)Termination reason: Instruction limit
% 7.36/1.86  % (3131103)Termination phase: Saturation
% 7.36/1.86  % (3131103)Time elapsed: 0.070 s
% 7.36/1.86  % (3131103)Peak memory usage: 89 MB
% 7.36/1.86  % (3131103)Instructions burned: 115 (million)
% 7.36/1.86  % (3131104)Instruction limit reached! 
% 7.36/1.86  % (3131104)------------------------------
% 7.36/1.86  % (3131104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131104)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131104)Termination reason: Instruction limit
% 7.36/1.86  % (3131104)Termination phase: Saturation
% 7.36/1.86  % (3131104)Time elapsed: 0.134 s
% 7.36/1.86  % (3131104)Peak memory usage: 90 MB
% 7.36/1.86  % (3131104)Instructions burned: 181 (million)
% 7.36/1.86  % (3131114)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1364563076: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)
% 7.36/1.86  % (3131113)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=1042930707:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.36/1.86  % (3131102)------------------------------
% 7.36/1.86  % (3131102)------------------------------
% 7.36/1.86  % (3131115)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1338142657:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 7.36/1.86  % (3131113)Instruction limit reached! 
% 7.36/1.86  % (3131113)------------------------------
% 7.36/1.86  % (3131113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131113)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131113)Termination reason: Instruction limit
% 7.36/1.86  % (3131113)Termination phase: Saturation
% 7.36/1.86  % (3131113)Time elapsed: 0.096 s
% 7.36/1.86  % (3131113)Peak memory usage: 89 MB
% 7.36/1.86  % (3131113)Instructions burned: 143 (million)
% 7.36/1.86  % (3131115)Instruction limit reached! 
% 7.36/1.86  % (3131115)------------------------------
% 7.36/1.86  % (3131115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131115)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131115)Termination reason: Instruction limit
% 7.36/1.86  % (3131115)Termination phase: Saturation
% 7.36/1.86  % (3131115)Time elapsed: 0.067 s
% 7.36/1.86  % (3131115)Peak memory usage: 89 MB
% 7.36/1.86  % (3131115)Instructions burned: 219 (million)
% 7.36/1.86  % (3131114)Instruction limit reached! 
% 7.36/1.86  % (3131114)------------------------------
% 7.36/1.86  % (3131114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131114)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131114)Termination reason: Instruction limit
% 7.36/1.86  % (3131114)Termination phase: Saturation
% 7.36/1.86  % (3131114)Time elapsed: 0.104 s
% 7.36/1.86  % (3131114)Peak memory usage: 90 MB
% 7.36/1.86  % (3131114)Instructions burned: 189 (million)
% 7.36/1.86  % (3131118)lrs+10_64_to=lpo:sil=8000:random_seed=468169977:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.36/1.86  % (3131121)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2451082940:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.36/1.86  % (3131120)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2343311160:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.36/1.86  % (3131118)Instruction limit reached! 
% 7.36/1.86  % (3131118)------------------------------
% 7.36/1.86  % (3131118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131118)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131118)Termination reason: Instruction limit
% 7.36/1.86  % (3131118)Termination phase: Saturation
% 7.36/1.86  % (3131118)Time elapsed: 0.084 s
% 7.36/1.86  % (3131118)Peak memory usage: 89 MB
% 7.36/1.86  % (3131118)Instructions burned: 127 (million)
% 7.36/1.86  % (3131121)Instruction limit reached! 
% 7.36/1.86  % (3131121)------------------------------
% 7.36/1.86  % (3131121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131121)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131121)Termination reason: Instruction limit
% 7.36/1.86  % (3131121)Termination phase: Saturation
% 7.36/1.86  % (3131121)Time elapsed: 0.060 s
% 7.36/1.86  % (3131121)Peak memory usage: 91 MB
% 7.36/1.86  % (3131121)Instructions burned: 157 (million)
% 7.36/1.86  % (3131122)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=924966357:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.36/1.86  % (3131120)Instruction limit reached! 
% 7.36/1.86  % (3131120)------------------------------
% 7.36/1.86  % (3131120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131120)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131120)Termination reason: Instruction limit
% 7.36/1.86  % (3131120)Termination phase: Saturation
% 7.36/1.86  % (3131120)Time elapsed: 0.121 s
% 7.36/1.86  % (3131120)Peak memory usage: 89 MB
% 7.36/1.86  % (3131120)Instructions burned: 196 (million)
% 7.36/1.86  % (3131128)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2182998464:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.36/1.86  % (3131126)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=4056025560:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.36/1.86  % (3131128)Instruction limit reached! 
% 7.36/1.86  % (3131128)------------------------------
% 7.36/1.86  % (3131128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131128)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131128)Termination reason: Instruction limit
% 7.36/1.86  % (3131128)Termination phase: Saturation
% 7.36/1.86  % (3131128)Time elapsed: 0.041 s
% 7.36/1.86  % (3131128)Peak memory usage: 89 MB
% 7.36/1.86  % (3131128)Instructions burned: 109 (million)
% 7.36/1.86  % (3131126)Instruction limit reached! 
% 7.36/1.86  % (3131126)------------------------------
% 7.36/1.86  % (3131126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131126)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131126)Termination reason: Instruction limit
% 7.36/1.86  % (3131126)Termination phase: Saturation
% 7.36/1.86  % (3131126)Time elapsed: 0.065 s
% 7.36/1.86  % (3131126)Peak memory usage: 89 MB
% 7.36/1.86  % (3131126)Instructions burned: 107 (million)
% 7.36/1.86  % (3131130)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3286213884:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.36/1.86  % (3131099)First to succeed.
% 7.36/1.86  % (3131099)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3131094"
% 7.36/1.86  % (3131133)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2064156785:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.36/1.86  % (3131134)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1145717069:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.36/1.86  % (3131130)Instruction limit reached! 
% 7.36/1.86  % (3131130)------------------------------
% 7.36/1.86  % (3131130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131130)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131130)Termination reason: Instruction limit
% 7.36/1.86  % (3131130)Termination phase: Saturation
% 7.36/1.86  % (3131130)Time elapsed: 0.162 s
% 7.36/1.86  % (3131130)Peak memory usage: 90 MB
% 7.36/1.86  % (3131130)Instructions burned: 242 (million)
% 7.36/1.86  % (3131101)Also succeeded, but the first one will report.
% 7.36/1.86  % (3131134)Instruction limit reached! 
% 7.36/1.86  % (3131134)------------------------------
% 7.36/1.86  % (3131134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.36/1.86  % (3131134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.36/1.86  % (3131134)CaDiCaL version: 2.1.3
% 7.36/1.86  % (3131134)Termination reason: Instruction limit
% 7.36/1.86  % (3131134)Termination phase: Saturation
% 7.36/1.86  % (3131134)Time elapsed: 0.100 s
% 7.36/1.86  % (3131134)Peak memory usage: 89 MB
% 7.36/1.86  % (3131134)Instructions burned: 134 (million)
% 7.36/1.86  % (3131099)Refutation found. Thanks to Tanya!
% 7.36/1.86  % SZS status Unsatisfiable for theBenchmark
% 7.36/1.86  % SZS output start Proof for theBenchmark
% See solution above
% 9.12/2.06  % (3131099)------------------------------
% 9.12/2.06  % (3131099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.12/2.06  % (3131099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.12/2.06  % (3131099)CaDiCaL version: 2.1.3
% 9.12/2.06  % (3131099)Termination reason: Refutation
% 9.12/2.06  % (3131099)Time elapsed: 0.806 s
% 9.12/2.06  % (3131099)Peak memory usage: 130 MB
% 9.12/2.06  % (3131099)Instructions burned: 1206 (million)
% 9.12/2.06  % (3131099)------------------------------
% 9.12/2.06  % (3131099)------------------------------
% 9.12/2.06  % (3131094)Success in time 1.237 s
% 9.12/2.06  % Vampire exiting
%------------------------------------------------------------------------------