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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET182-6 : 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 : n008.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 12:40:26 PM UTC 2026

% Result   : Unsatisfiable 2.80s 1.06s
% Output   : Refutation 3.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  104 (  15 unt;  13 def)
%            Number of atoms       :  224 (   6 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  215 (  95   ~; 107   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   3 avg)
%            Number of predicates  :   17 (  15 usr;  13 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn  33   !;   0   ?)

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

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

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

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).

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

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ~ member(X0,complement(X1))
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( member(X0,complement(X1))
      | ~ member(X0,universal_class)
      | member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f122,negated_conjecture,
    union(intersection(complement(x),y),intersection(x,y)) != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distribution_property3_1) ).

fof(f123,plain,
    y != union(intersection(complement(x),y),intersection(x,y)),
    inference(reorient_equations,[],[f122]) ).

fof(f137,plain,
    y != complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),
    inference(definition_unfolding,[],[f123,f26]) ).

fof(f181,definition,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).

fof(f182,plain,
    ~ sQ0_eqProxy(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),
    inference(equality_proxy_replacement,[],[f137,f181]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
      | ~ subclass(X1,X0)
      | ~ subclass(X0,X1) ),
    inference(equality_proxy_replacement,[],[f7,f181]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( member(X0,universal_class)
      | ~ member(X0,X1) ),
    inference(resolution,[],[f1,f4]) ).

fof(f216,plain,
    ( ~ subclass(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y)
    | ~ subclass(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))) ),
    inference(resolution,[],[f183,f182]) ).

fof(f219,definition,
    ( spl1_1
  <=> subclass(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f220,plain,
    ( ~ subclass(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f222,definition,
    ( spl1_2
  <=> subclass(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f223,plain,
    ( ~ subclass(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,plain,
    ( ~ spl1_2
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f216,f219,f222]) ).

fof(f226,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),y)
    | spl1_1 ),
    inference(resolution,[],[f220,f3]) ).

fof(f227,plain,
    ( member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))))
    | spl1_1 ),
    inference(resolution,[],[f220,f2]) ).

fof(f236,definition,
    ( spl1_3
  <=> member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),complement(intersection(complement(x),y))) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f237,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),complement(intersection(complement(x),y)))
    | spl1_3 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f239,definition,
    ( spl1_4
  <=> member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),complement(intersection(x,y))) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f240,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),complement(intersection(x,y)))
    | spl1_4 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f242,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),universal_class)
    | member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),intersection(complement(x),y))
    | spl1_3 ),
    inference(resolution,[],[f237,f25]) ).

fof(f244,definition,
    ( spl1_5
  <=> member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),intersection(complement(x),y)) ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f245,plain,
    ( member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),intersection(complement(x),y))
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f247,definition,
    ( spl1_6
  <=> member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f248,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),universal_class)
    | spl1_6 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f249,plain,
    ( spl1_5
    | ~ spl1_6
    | spl1_3 ),
    inference(avatar_split_clause,[],[f242,f236,f247,f244]) ).

fof(f250,plain,
    ( ! [X0] : ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),X0)
    | spl1_6 ),
    inference(resolution,[],[f248,f208]) ).

fof(f251,plain,
    ( $false
    | spl1_1
    | spl1_6 ),
    inference(resolution,[],[f250,f227]) ).

fof(f259,plain,
    ( spl1_1
    | spl1_6 ),
    inference(avatar_contradiction_clause,[],[f251]) ).

fof(f260,plain,
    ( member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),y)
    | ~ spl1_5 ),
    inference(resolution,[],[f245,f22]) ).

fof(f262,plain,
    ( $false
    | spl1_1
    | ~ spl1_5 ),
    inference(resolution,[],[f260,f226]) ).

fof(f263,plain,
    ( spl1_1
    | ~ spl1_5 ),
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f264,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))))
    | spl1_2 ),
    inference(resolution,[],[f223,f3]) ).

fof(f265,plain,
    ( member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),y)
    | spl1_2 ),
    inference(resolution,[],[f223,f2]) ).

fof(f266,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),universal_class)
    | member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))
    | spl1_2 ),
    inference(resolution,[],[f264,f25]) ).

fof(f268,definition,
    ( spl1_7
  <=> member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))) ),
    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).

fof(f269,plain,
    ( member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f271,definition,
    ( spl1_8
  <=> member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),universal_class) ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f272,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),universal_class)
    | spl1_8 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f273,plain,
    ( spl1_7
    | ~ spl1_8
    | spl1_2 ),
    inference(avatar_split_clause,[],[f266,f222,f271,f268]) ).

fof(f274,plain,
    ( ! [X0] : ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),X0)
    | spl1_8 ),
    inference(resolution,[],[f272,f208]) ).

fof(f275,plain,
    ( $false
    | spl1_2
    | spl1_8 ),
    inference(resolution,[],[f274,f265]) ).

fof(f283,plain,
    ( spl1_2
    | spl1_8 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f285,plain,
    ( member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),complement(intersection(x,y)))
    | ~ spl1_7 ),
    inference(resolution,[],[f269,f22]) ).

fof(f286,plain,
    ( member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),complement(intersection(complement(x),y)))
    | ~ spl1_7 ),
    inference(resolution,[],[f269,f21]) ).

fof(f294,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),intersection(x,y))
    | ~ spl1_7 ),
    inference(resolution,[],[f285,f24]) ).

fof(f295,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),intersection(complement(x),y))
    | ~ spl1_7 ),
    inference(resolution,[],[f286,f24]) ).

fof(f296,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),y)
    | ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),x)
    | ~ spl1_7 ),
    inference(resolution,[],[f294,f23]) ).

fof(f298,definition,
    ( spl1_9
  <=> member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),x) ),
    introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).

fof(f301,definition,
    ( spl1_10
  <=> member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),y) ),
    introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).

fof(f302,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),y)
    | spl1_10 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f303,plain,
    ( ~ spl1_9
    | ~ spl1_10
    | ~ spl1_7 ),
    inference(avatar_split_clause,[],[f296,f268,f301,f298]) ).

fof(f304,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),y)
    | ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),complement(x))
    | ~ spl1_7 ),
    inference(resolution,[],[f295,f23]) ).

fof(f306,definition,
    ( spl1_11
  <=> member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),complement(x)) ),
    introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).

fof(f307,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),complement(x))
    | spl1_11 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f308,plain,
    ( ~ spl1_11
    | ~ spl1_10
    | ~ spl1_7 ),
    inference(avatar_split_clause,[],[f304,f268,f301,f306]) ).

fof(f309,plain,
    ( $false
    | spl1_2
    | spl1_10 ),
    inference(resolution,[],[f302,f265]) ).

fof(f310,plain,
    ( spl1_2
    | spl1_10 ),
    inference(avatar_contradiction_clause,[],[f309]) ).

fof(f311,plain,
    ( ~ member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),universal_class)
    | member(not_subclass_element(y,complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))),x)
    | spl1_11 ),
    inference(resolution,[],[f307,f25]) ).

fof(f313,plain,
    ( spl1_9
    | ~ spl1_8
    | spl1_11 ),
    inference(avatar_split_clause,[],[f311,f306,f271,f298]) ).

fof(f314,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),y)
    | spl1_1 ),
    inference(resolution,[],[f220,f3]) ).

fof(f315,plain,
    ( member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))))
    | spl1_1 ),
    inference(resolution,[],[f220,f2]) ).

fof(f316,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),intersection(complement(intersection(complement(x),y)),complement(intersection(x,y))))
    | spl1_1 ),
    inference(resolution,[],[f315,f24]) ).

fof(f318,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),complement(intersection(x,y)))
    | ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),complement(intersection(complement(x),y)))
    | spl1_1 ),
    inference(resolution,[],[f316,f23]) ).

fof(f319,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | spl1_1 ),
    inference(avatar_split_clause,[],[f318,f219,f239,f236]) ).

fof(f333,plain,
    ( ~ member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),universal_class)
    | member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),intersection(x,y))
    | spl1_4 ),
    inference(resolution,[],[f240,f25]) ).

fof(f335,definition,
    ( spl1_12
  <=> member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),intersection(x,y)) ),
    introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).

fof(f336,plain,
    ( member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),intersection(x,y))
    | ~ spl1_12 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f337,plain,
    ( spl1_12
    | ~ spl1_6
    | spl1_4 ),
    inference(avatar_split_clause,[],[f333,f239,f247,f335]) ).

fof(f338,plain,
    ( member(not_subclass_element(complement(intersection(complement(intersection(complement(x),y)),complement(intersection(x,y)))),y),y)
    | ~ spl1_12 ),
    inference(resolution,[],[f336,f22]) ).

fof(f340,plain,
    ( $false
    | spl1_1
    | ~ spl1_12 ),
    inference(resolution,[],[f338,f314]) ).

fof(f341,plain,
    ( spl1_1
    | ~ spl1_12 ),
    inference(avatar_contradiction_clause,[],[f340]) ).

cnf(s2,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s4,plain,
    ( spl1_3
    | spl1_5
    | ~ spl1_6 ),
    inference(sat_conversion,[],[f249]) ).

cnf(s5,plain,
    ( spl1_1
    | spl1_6 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s6,plain,
    ( spl1_1
    | ~ spl1_5 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s7,plain,
    ( spl1_2
    | spl1_7
    | ~ spl1_8 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s8,plain,
    ( spl1_2
    | spl1_8 ),
    inference(sat_conversion,[],[f283]) ).

cnf(s9,plain,
    ( ~ spl1_7
    | ~ spl1_9
    | ~ spl1_10 ),
    inference(sat_conversion,[],[f303]) ).

cnf(s10,plain,
    ( ~ spl1_7
    | ~ spl1_10
    | ~ spl1_11 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s11,plain,
    ( spl1_2
    | spl1_10 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s12,plain,
    ( ~ spl1_8
    | spl1_9
    | spl1_11 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s13,plain,
    ( spl1_1
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(sat_conversion,[],[f319]) ).

cnf(s17,plain,
    ( spl1_4
    | ~ spl1_6
    | spl1_12 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s18,plain,
    ( spl1_1
    | ~ spl1_12 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s19,plain,
    spl1_1,
    inference(rat,[],[s13,s17,s4,s5,s6,s18]) ).

cnf(s20,plain,
    ~ spl1_2,
    inference(rat,[],[s2,s19]) ).

cnf(s21,plain,
    spl1_10,
    inference(rat,[],[s11,s20]) ).

cnf(s22,plain,
    spl1_8,
    inference(rat,[],[s8,s20]) ).

cnf(s23,plain,
    spl1_7,
    inference(rat,[],[s7,s22,s20]) ).

cnf(s24,plain,
    ~ spl1_11,
    inference(rat,[],[s10,s21,s23]) ).

cnf(s25,plain,
    ~ spl1_9,
    inference(rat,[],[s9,s21,s23]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s12,s22,s24,s25]) ).

fof(f342,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET182-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n008.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 01:02:09 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/1.05  % (1771575)Input is clausal, will run a generic CNF schedule.
% 2.80/1.05  % (1771585)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2787435536:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.80/1.05  % (1771581)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2490589392:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.80/1.05  % (1771583)lrs+10_1_sil=8000:sp=occurrence:random_seed=3872215904:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.80/1.05  % (1771584)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=879219371:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.80/1.05  % (1771586)dis-21_1_sil=8000:lcm=predicate:random_seed=2753839308: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)
% 2.80/1.05  % (1771580)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=134854978:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.80/1.05  % (1771582)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2037144231:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.80/1.05  % (1771583)Refutation not found, incomplete strategy
% 2.80/1.05  % (1771583)------------------------------
% 2.80/1.05  % (1771583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.05  % (1771583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.05  % (1771583)CaDiCaL version: 2.1.3
% 2.80/1.05  % (1771583)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.05  % (1771583)Time elapsed: 0.002 s
% 2.80/1.05  % (1771583)Peak memory usage: 88 MB
% 2.80/1.05  % (1771583)Instructions burned: 1 (million)
% 2.80/1.05  % (1771586)First to succeed.
% 2.80/1.05  % (1771586)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1771575"
% 2.80/1.05  % (1771585)Instruction limit reached! 
% 2.80/1.05  % (1771585)------------------------------
% 2.80/1.05  % (1771585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.05  % (1771585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.05  % (1771585)CaDiCaL version: 2.1.3
% 2.80/1.05  % (1771585)Termination reason: Instruction limit
% 2.80/1.05  % (1771585)Termination phase: Saturation
% 2.80/1.05  % (1771585)Time elapsed: 0.070 s
% 2.80/1.05  % (1771585)Peak memory usage: 90 MB
% 2.80/1.05  % (1771585)Instructions burned: 181 (million)
% 2.80/1.05  % (1771584)Instruction limit reached! 
% 2.80/1.05  % (1771584)------------------------------
% 2.80/1.05  % (1771584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.05  % (1771584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.05  % (1771584)CaDiCaL version: 2.1.3
% 2.80/1.05  % (1771584)Termination reason: Instruction limit
% 2.80/1.05  % (1771584)Termination phase: Saturation
% 2.80/1.05  % (1771584)Time elapsed: 0.069 s
% 2.80/1.05  % (1771584)Peak memory usage: 89 MB
% 2.80/1.05  % (1771584)Instructions burned: 115 (million)
% 2.80/1.05  % (1771595)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4103435836: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)
% 2.80/1.05  % (1771595)Refutation not found, incomplete strategy
% 2.80/1.05  % (1771595)------------------------------
% 2.80/1.05  % (1771595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.05  % (1771595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.05  % (1771595)CaDiCaL version: 2.1.3
% 2.80/1.05  % (1771595)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.05  % (1771595)Time elapsed: 0.005 s
% 2.80/1.05  % (1771595)Peak memory usage: 88 MB
% 2.80/1.05  % (1771595)Instructions burned: 14 (million)
% 2.80/1.05  % (1771594)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=3364622930:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.80/1.05  % (1771594)Refutation not found, incomplete strategy
% 2.80/1.05  % (1771594)------------------------------
% 2.80/1.05  % (1771594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.05  % (1771594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.06  % (1771594)CaDiCaL version: 2.1.3
% 2.80/1.06  % (1771594)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.06  % (1771594)Time elapsed: 0.003 s
% 2.80/1.06  % (1771594)Peak memory usage: 88 MB
% 2.80/1.06  % (1771594)Instructions burned: 3 (million)
% 2.80/1.06  % (1771583)------------------------------
% 2.80/1.06  % (1771583)------------------------------
% 2.80/1.06  % (1771586)Refutation found. Thanks to Tanya!
% 2.80/1.06  % SZS status Unsatisfiable for theBenchmark
% 2.80/1.06  % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.15  % (1771586)------------------------------
% 3.37/1.15  % (1771586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.15  % (1771586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.15  % (1771586)CaDiCaL version: 2.1.3
% 3.37/1.15  % (1771586)Termination reason: Refutation
% 3.37/1.15  % (1771586)Time elapsed: 0.008 s
% 3.37/1.15  % (1771586)Peak memory usage: 89 MB
% 3.37/1.15  % (1771586)Instructions burned: 11 (million)
% 3.37/1.15  % (1771586)------------------------------
% 3.37/1.15  % (1771586)------------------------------
% 3.37/1.15  % (1771575)Success in time 0.438 s
% 3.37/1.15  % Vampire exiting
%------------------------------------------------------------------------------