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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET957+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 12:45:05 PM UTC 2026

% Result   : Theorem 0.11s 0.45s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   76 (  12 unt;   4 def)
%            Number of atoms       :  198 (  42 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  193 (  71   ~;  81   |;  28   &)
%                                         (   9 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :  108 (   0 sgn  86   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f3,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ~ ( subset(X0,cartesian_product2(X1,X2))
        & in(X3,X0)
        & ! [X4,X5] :
            ~ ( in(X4,X1)
              & in(X5,X2)
              & X3 = ordered_pair(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t103_zfmisc_1) ).

fof(f9,conjecture,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( subset(X0,cartesian_product2(X1,X2))
        & subset(X3,cartesian_product2(X4,X5))
        & ! [X6,X7] :
            ( in(ordered_pair(X6,X7),X0)
          <=> in(ordered_pair(X6,X7),X3) ) )
     => X0 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_zfmisc_1) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( subset(X0,cartesian_product2(X1,X2))
          & subset(X3,cartesian_product2(X4,X5))
          & ! [X6,X7] :
              ( in(ordered_pair(X6,X7),X0)
            <=> in(ordered_pair(X6,X7),X3) ) )
       => X0 = X3 ),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).

fof(f14,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subset(X0,cartesian_product2(X1,X2))
      | ~ in(X3,X0)
      | ? [X4,X5] :
          ( in(X4,X1)
          & in(X5,X2)
          & X3 = ordered_pair(X4,X5) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f15,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( X0 != X3
      & subset(X0,cartesian_product2(X1,X2))
      & subset(X3,cartesian_product2(X4,X5))
      & ! [X6,X7] :
          ( in(ordered_pair(X6,X7),X0)
        <=> in(ordered_pair(X6,X7),X3) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f16,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( X0 != X3
      & subset(X0,cartesian_product2(X1,X2))
      & subset(X3,cartesian_product2(X4,X5))
      & ! [X6,X7] :
          ( in(ordered_pair(X6,X7),X0)
        <=> in(ordered_pair(X6,X7),X3) ) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( in(X2,X0)
        <~> in(X2,X1) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subset(X0,cartesian_product2(X1,X2))
      | ~ in(X3,X0)
      | ( in(sK2(X1,X2,X3),X1)
        & in(sK3(X1,X2,X3),X2)
        & ordered_pair(sK2(X1,X2,X3),sK3(X1,X2,X3)) = X3 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X4,sK2(X1,X2,X3)),skolemize(X5,sK3(X1,X2,X3))],[f14]) ).

fof(f21,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( X0 != X3
      & subset(X0,cartesian_product2(X1,X2))
      & subset(X3,cartesian_product2(X4,X5))
      & ! [X6,X7] :
          ( ( in(ordered_pair(X6,X7),X0)
            | ~ in(ordered_pair(X6,X7),X3) )
          & ( in(ordered_pair(X6,X7),X3)
            | ~ in(ordered_pair(X6,X7),X0) ) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f22,plain,
    ( sK4 != sK7
    & subset(sK4,cartesian_product2(sK5,sK6))
    & subset(sK7,cartesian_product2(sK8,sK9))
    & ! [X6,X7] :
        ( ( in(ordered_pair(X6,X7),sK4)
          | ~ in(ordered_pair(X6,X7),sK7) )
        & ( in(ordered_pair(X6,X7),sK7)
          | ~ in(ordered_pair(X6,X7),sK4) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7),skolemize(X4,sK8),skolemize(X5,sK9)],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ in(sK10(X0,X1),X1)
          | ~ in(sK10(X0,X1),X0) )
        & ( in(sK10(X0,X1),X1)
          | in(sK10(X0,X1),X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f23]) ).

fof(f26,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f27,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subset(X0,cartesian_product2(X1,X2))
      | ~ in(X3,X0)
      | ordered_pair(sK2(X1,X2,X3),sK3(X1,X2,X3)) = X3 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f35,plain,
    ! [X6,X7] :
      ( in(ordered_pair(X6,X7),sK7)
      | ~ in(ordered_pair(X6,X7),sK4) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f36,plain,
    ! [X6,X7] :
      ( in(ordered_pair(X6,X7),sK4)
      | ~ in(ordered_pair(X6,X7),sK7) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f37,plain,
    subset(sK7,cartesian_product2(sK8,sK9)),
    inference(cnf_transformation,[],[f22]) ).

fof(f38,plain,
    subset(sK4,cartesian_product2(sK5,sK6)),
    inference(cnf_transformation,[],[f22]) ).

fof(f39,plain,
    sK4 != sK7,
    inference(cnf_transformation,[],[f22]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( in(sK10(X0,X1),X1)
      | in(sK10(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ in(sK10(X0,X1),X1)
      | X0 = X1
      | ~ in(sK10(X0,X1),X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f43,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subset(X0,cartesian_product2(X1,X2))
      | ~ in(X3,X0)
      | unordered_pair(unordered_pair(sK2(X1,X2,X3),sK3(X1,X2,X3)),singleton(sK2(X1,X2,X3))) = X3 ),
    inference(definition_unfolding,[],[f32,f27]) ).

fof(f44,plain,
    ! [X6,X7] :
      ( ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),sK7)
      | in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),sK4) ),
    inference(definition_unfolding,[],[f36,f27,f27]) ).

fof(f45,plain,
    ! [X6,X7] :
      ( ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),sK4)
      | in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),sK7) ),
    inference(definition_unfolding,[],[f35,f27,f27]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK4)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK7) ),
    inference(superposition,[],[f45,f26]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK7)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK4) ),
    inference(superposition,[],[f44,f26]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subset(X0,cartesian_product2(X1,X2))
      | unordered_pair(singleton(sK2(X1,X2,X3)),unordered_pair(sK2(X1,X2,X3),sK3(X1,X2,X3))) = X3
      | ~ in(X3,X0) ),
    inference(forward_demodulation,[],[f43,f26]) ).

fof(f86,plain,
    ! [X0] :
      ( ~ in(X0,sK7)
      | unordered_pair(singleton(sK2(sK8,sK9,X0)),unordered_pair(sK2(sK8,sK9,X0),sK3(sK8,sK9,X0))) = X0 ),
    inference(resolution,[],[f84,f37]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ in(X0,sK4)
      | unordered_pair(singleton(sK2(sK5,sK6,X0)),unordered_pair(sK2(sK5,sK6,X0),sK3(sK5,sK6,X0))) = X0 ),
    inference(resolution,[],[f84,f38]) ).

fof(f95,plain,
    ! [X0] :
      ( in(sK10(sK4,X0),X0)
      | sK10(sK4,X0) = unordered_pair(singleton(sK2(sK5,sK6,sK10(sK4,X0))),unordered_pair(sK2(sK5,sK6,sK10(sK4,X0)),sK3(sK5,sK6,sK10(sK4,X0))))
      | sK4 = X0 ),
    inference(resolution,[],[f87,f40]) ).

fof(f112,definition,
    ( spl11_1
  <=> sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK5,sK6,sK10(sK4,sK7))),unordered_pair(sK2(sK5,sK6,sK10(sK4,sK7)),sK3(sK5,sK6,sK10(sK4,sK7)))) ),
    introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).

fof(f114,plain,
    ( sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK5,sK6,sK10(sK4,sK7))),unordered_pair(sK2(sK5,sK6,sK10(sK4,sK7)),sK3(sK5,sK6,sK10(sK4,sK7))))
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f116,definition,
    ( spl11_2
  <=> sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK8,sK9,sK10(sK4,sK7))),unordered_pair(sK2(sK8,sK9,sK10(sK4,sK7)),sK3(sK8,sK9,sK10(sK4,sK7)))) ),
    introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).

fof(f118,plain,
    ( sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK8,sK9,sK10(sK4,sK7))),unordered_pair(sK2(sK8,sK9,sK10(sK4,sK7)),sK3(sK8,sK9,sK10(sK4,sK7))))
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f121,plain,
    ( ~ in(sK10(sK4,sK7),sK7)
    | in(sK10(sK4,sK7),sK4)
    | ~ spl11_2 ),
    inference(superposition,[],[f49,f118]) ).

fof(f148,definition,
    ( spl11_5
  <=> in(sK10(sK4,sK7),sK7) ),
    introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).

fof(f149,plain,
    ( ~ in(sK10(sK4,sK7),sK7)
    | spl11_5 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f150,plain,
    ( in(sK10(sK4,sK7),sK7)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f152,definition,
    ( spl11_6
  <=> in(sK10(sK4,sK7),sK4) ),
    introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).

fof(f153,plain,
    ( in(sK10(sK4,sK7),sK4)
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f156,plain,
    ( spl11_6
    | ~ spl11_5
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f121,f116,f148,f152]) ).

fof(f178,plain,
    ( in(sK10(sK4,sK7),sK4)
    | sK4 = sK7
    | spl11_5 ),
    inference(resolution,[],[f149,f40]) ).

fof(f179,plain,
    ( in(sK10(sK4,sK7),sK4)
    | spl11_5 ),
    inference(forward_subsumption_resolution,[],[f178,f39]) ).

fof(f180,plain,
    ( spl11_6
    | spl11_5 ),
    inference(avatar_split_clause,[],[f179,f148,f152]) ).

fof(f198,plain,
    ( sK4 = sK7
    | ~ in(sK10(sK4,sK7),sK4)
    | ~ spl11_5 ),
    inference(resolution,[],[f150,f41]) ).

fof(f201,plain,
    ( ~ in(sK10(sK4,sK7),sK4)
    | ~ spl11_5 ),
    inference(forward_subsumption_resolution,[],[f198,f39]) ).

fof(f202,plain,
    ( ~ spl11_6
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f201,f148,f152]) ).

fof(f215,plain,
    ( sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK5,sK6,sK10(sK4,sK7))),unordered_pair(sK2(sK5,sK6,sK10(sK4,sK7)),sK3(sK5,sK6,sK10(sK4,sK7))))
    | sK4 = sK7
    | spl11_5 ),
    inference(resolution,[],[f95,f149]) ).

fof(f219,plain,
    ( sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK5,sK6,sK10(sK4,sK7))),unordered_pair(sK2(sK5,sK6,sK10(sK4,sK7)),sK3(sK5,sK6,sK10(sK4,sK7))))
    | sK4 = sK7
    | sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK8,sK9,sK10(sK4,sK7))),unordered_pair(sK2(sK8,sK9,sK10(sK4,sK7)),sK3(sK8,sK9,sK10(sK4,sK7)))) ),
    inference(resolution,[],[f95,f86]) ).

fof(f222,plain,
    ( sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK5,sK6,sK10(sK4,sK7))),unordered_pair(sK2(sK5,sK6,sK10(sK4,sK7)),sK3(sK5,sK6,sK10(sK4,sK7))))
    | sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK8,sK9,sK10(sK4,sK7))),unordered_pair(sK2(sK8,sK9,sK10(sK4,sK7)),sK3(sK8,sK9,sK10(sK4,sK7)))) ),
    inference(forward_subsumption_resolution,[],[f219,f39]) ).

fof(f223,plain,
    ( sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK5,sK6,sK10(sK4,sK7))),unordered_pair(sK2(sK5,sK6,sK10(sK4,sK7)),sK3(sK5,sK6,sK10(sK4,sK7))))
    | spl11_5 ),
    inference(forward_subsumption_resolution,[],[f215,f39]) ).

fof(f224,plain,
    ( spl11_2
    | spl11_1 ),
    inference(avatar_split_clause,[],[f222,f112,f116]) ).

fof(f225,plain,
    ( spl11_1
    | spl11_5 ),
    inference(avatar_split_clause,[],[f223,f148,f112]) ).

fof(f226,plain,
    ( sK10(sK4,sK7) = unordered_pair(singleton(sK2(sK5,sK6,sK10(sK4,sK7))),unordered_pair(sK2(sK5,sK6,sK10(sK4,sK7)),sK3(sK5,sK6,sK10(sK4,sK7))))
    | ~ spl11_6 ),
    inference(resolution,[],[f153,f87]) ).

fof(f228,plain,
    ( spl11_1
    | ~ spl11_6 ),
    inference(avatar_split_clause,[],[f226,f152,f112]) ).

fof(f262,plain,
    ( ~ in(sK10(sK4,sK7),sK7)
    | in(sK10(sK4,sK7),sK4)
    | ~ spl11_1 ),
    inference(superposition,[],[f49,f114]) ).

fof(f263,plain,
    ( ~ in(sK10(sK4,sK7),sK4)
    | in(sK10(sK4,sK7),sK7)
    | ~ spl11_1 ),
    inference(superposition,[],[f48,f114]) ).

fof(f307,plain,
    ( spl11_5
    | ~ spl11_6
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f263,f112,f152,f148]) ).

fof(f308,plain,
    ( spl11_6
    | ~ spl11_5
    | ~ spl11_1 ),
    inference(avatar_split_clause,[],[f262,f112,f148,f152]) ).

cnf(s5,plain,
    ( ~ spl11_2
    | ~ spl11_5
    | spl11_6 ),
    inference(sat_conversion,[],[f156]) ).

cnf(s10,plain,
    ( spl11_5
    | spl11_6 ),
    inference(sat_conversion,[],[f180]) ).

cnf(s12,plain,
    ( ~ spl11_5
    | ~ spl11_6 ),
    inference(sat_conversion,[],[f202]) ).

cnf(s16,plain,
    ( spl11_1
    | spl11_2 ),
    inference(sat_conversion,[],[f224]) ).

cnf(s17,plain,
    ( spl11_1
    | spl11_5 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s18,plain,
    ( spl11_1
    | ~ spl11_6 ),
    inference(sat_conversion,[],[f228]) ).

cnf(s27,plain,
    ( ~ spl11_1
    | spl11_5
    | ~ spl11_6 ),
    inference(sat_conversion,[],[f307]) ).

cnf(s28,plain,
    ( ~ spl11_1
    | ~ spl11_5
    | spl11_6 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s29,plain,
    spl11_1,
    inference(rat,[],[s5,s16,s17,s18]) ).

cnf(s30,plain,
    ~ spl11_5,
    inference(rat,[],[s12,s28,s29]) ).

cnf(s31,plain,
    spl11_6,
    inference(rat,[],[s10,s30]) ).

cnf(s32,plain,
    $false,
    inference(rat,[],[s27,s29,s30,s31]) ).

fof(f309,plain,
    $false,
    inference(avatar_sat_refutation,[],[s32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET957+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n019.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 03:16:19 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  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
% 0.11/0.45  % (3628928)Will run a generic schedule for satisfiability detection.
% 0.11/0.45  % (3628937)dis+10_1_sil=32000:sp=arity:random_seed=650275115:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.11/0.45  % (3628935)% WARNING: option uhcvi not known.
% 0.11/0.45  % (3628937) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3628928-3628937"...
% 0.11/0.45  % (3628934)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=502495937_3000 on theBenchmark for (3000ds/0Mi)
% 0.11/0.45  % (3628937)...printing done.
% 0.11/0.45  % (3628935)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3933330931:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.11/0.45  % (3628936)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1156866655:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.11/0.45  % (3628937)Refutation found. Thanks to Tanya!
% 0.11/0.45  % SZS status Theorem for theBenchmark
% 0.11/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46  % (3628937)------------------------------
% 0.11/0.46  % (3628937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46  % (3628937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46  % (3628937)CaDiCaL version: 2.1.3
% 0.11/0.46  % (3628937)Termination reason: Refutation
% 0.11/0.46  % (3628937)Time elapsed: 0.007 s
% 0.11/0.46  % (3628937)Peak memory usage: 12 MB
% 0.11/0.46  % (3628937)Instructions burned: 17 (million)
% 0.11/0.46  % (3628928)Success in time 0.022 s
% 0.11/0.46  % Vampire exiting
%------------------------------------------------------------------------------