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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO034-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 09:51:17 AM UTC 2026

% Result   : Unsatisfiable 8.55s 2.10s
% Output   : Refutation 9.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  137 (  32 unt;  10 def)
%            Number of atoms       :  328 (  59 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  353 ( 162   ~; 181   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  11 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-5 aty)
%            Number of variables   :  224 (   0 sgn 224   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ equidistant(X1,X6,X3,X7)
      | ~ equidistant(X1,X4,X3,X5)
      | ~ equidistant(X0,X6,X2,X7)
      | ~ equidistant(X0,X1,X2,X3)
      | ~ between(X0,X1,X4)
      | ~ between(X2,X3,X5)
      | X0 = X1
      | equidistant(X4,X6,X5,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_five_segment) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
      | ~ between(X3,X4,X2)
      | ~ between(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
      | ~ between(X3,X4,X2)
      | ~ between(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).

fof(f19,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f20,axiom,
    equidistant(u,v,u,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_x) ).

fof(f21,axiom,
    equidistant(w,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_v_equals_w_to_x) ).

fof(f22,negated_conjecture,
    v != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_is_x) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,v,X0,X1)
      | equidistant(X0,X1,u,x) ),
    inference(resolution,[],[f2,f20]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X0) ),
    inference(resolution,[],[f2,f1]) ).

fof(f27,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,f3]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
      | equidistant(X4,X5,X2,X3) ),
    inference(resolution,[],[f5,f2]) ).

fof(f29,plain,
    ! [X2,X0] : equidistant(X0,X0,X2,X2),
    inference(superposition,[],[f5,f27]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(u,X0,u,X1)
      | ~ equidistant(X2,v,X3,x)
      | ~ equidistant(X2,u,X3,u)
      | ~ between(X2,u,X0)
      | ~ between(X3,u,X1)
      | u = X2
      | equidistant(X0,v,X1,x) ),
    inference(resolution,[],[f6,f20]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X0,X1,X2)
      | equidistant(X1,X2,X3,X3) ),
    inference(resolution,[],[f29,f2]) ).

fof(f47,plain,
    ! [X0,X1] : equidistant(X0,X1,X0,X1),
    inference(resolution,[],[f26,f1]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
    inference(resolution,[],[f26,f5]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X3,X4,X5,X4)
      | ~ equidistant(X0,X1,X0,X2)
      | ~ equidistant(X3,X0,X5,X0)
      | ~ between(X3,X0,X1)
      | ~ between(X5,X0,X2)
      | X0 = X3
      | equidistant(X1,X4,X2,X4) ),
    inference(resolution,[],[f47,f6]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,v,X1,x)
      | ~ equidistant(X0,u,X1,u)
      | ~ between(X0,u,X2)
      | ~ between(X1,u,X2)
      | u = X0
      | equidistant(X2,v,X2,x) ),
    inference(resolution,[],[f47,f30]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ equidistant(w,u,w,u)
      | ~ between(w,u,X0)
      | ~ between(w,u,X0)
      | u = w
      | equidistant(X0,v,X0,x) ),
    inference(resolution,[],[f56,f21]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ equidistant(w,u,w,u)
      | ~ between(w,u,X0)
      | u = w
      | equidistant(X0,v,X0,x) ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f87,definition,
    ( spl0_1
  <=> u = x ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f89,plain,
    ( u = x
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ between(w,u,X0)
      | u = w
      | equidistant(X0,v,X0,x) ),
    inference(forward_subsumption_resolution,[],[f84,f47]) ).

fof(f101,definition,
    ( spl0_4
  <=> u = v ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f102,plain,
    ( u != v
    | spl0_4 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f103,plain,
    ( u = v
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f106,definition,
    ( spl0_5
  <=> u = w ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f108,plain,
    ( u = w
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f110,definition,
    ( spl0_6
  <=> ! [X0] :
        ( ~ between(w,u,X0)
        | equidistant(X0,v,X0,x) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f111,plain,
    ( ! [X0] :
        ( equidistant(X0,v,X0,x)
        | ~ between(w,u,X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f112,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f99,f110,f106]) ).

fof(f116,plain,
    ( between(u,v,u)
    | ~ spl0_5 ),
    inference(superposition,[],[f19,f108]) ).

fof(f120,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X0,X2)
      | ~ equidistant(X3,X0,X3,X0)
      | ~ between(X3,X0,X1)
      | ~ between(X3,X0,X2)
      | X0 = X3
      | equidistant(X1,X4,X2,X4) ),
    inference(resolution,[],[f53,f47]) ).

fof(f122,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X0,X2)
      | ~ between(X3,X0,X1)
      | ~ between(X3,X0,X2)
      | X0 = X3
      | equidistant(X1,X4,X2,X4) ),
    inference(forward_subsumption_resolution,[],[f120,f47]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,extension(X2,X1,X1,X3))
      | ~ between(X0,X1,X3)
      | X0 = X1
      | equidistant(extension(X2,X1,X1,X3),X4,X3,X4) ),
    inference(resolution,[],[f122,f5]) ).

fof(f136,definition,
    ( spl0_7
  <=> ! [X1] : equidistant(v,X1,x,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f137,plain,
    ( ! [X1] : equidistant(v,X1,x,X1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f146,plain,
    ( v = x
    | ~ spl0_7 ),
    inference(resolution,[],[f137,f3]) ).

fof(f154,plain,
    ( $false
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f146,f22]) ).

fof(f155,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f154]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3),
    inference(resolution,[],[f28,f1]) ).

fof(f165,plain,
    ( u = v
    | ~ spl0_5 ),
    inference(resolution,[],[f116,f7]) ).

fof(f166,plain,
    ( spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f165,f106,f101]) ).

fof(f187,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X3,X2)
      | ~ between(X0,X1,X2)
      | inner_pasch(X1,X3,X2,X1,X0) = X1 ),
    inference(resolution,[],[f9,f7]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ between(X0,u,w)
      | u = inner_pasch(u,v,w,u,X0) ),
    inference(resolution,[],[f187,f19]) ).

fof(f197,plain,
    ! [X2,X3,X0,X1] :
      ( equidistant(extension(X0,X1,X1,X2),X3,X2,X3)
      | X0 = X1
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f4,f128]) ).

fof(f200,plain,
    ! [X0,X1] : between(X1,X0,X0),
    inference(superposition,[],[f4,f27]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X0 = X1
      | extension(X0,X1,X1,X2) = X2 ),
    inference(resolution,[],[f197,f3]) ).

fof(f257,definition,
    ( spl0_9
  <=> ! [X1] : equidistant(u,X1,x,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f258,plain,
    ( ! [X1] : equidistant(u,X1,x,X1)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f260,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ between(X0,u,x)
        | u = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f261,plain,
    ( ! [X0] :
        ( ~ between(X0,u,x)
        | u = X0 )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f287,plain,
    ! [X0,X1] : equidistant(extension(X0,X1,u,v),X1,u,x),
    inference(resolution,[],[f24,f48]) ).

fof(f289,plain,
    ( ! [X0,X1] : equidistant(extension(X0,X1,u,u),X1,u,x)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f287,f103]) ).

fof(f291,plain,
    ( ! [X1] : equidistant(X1,X1,u,x)
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f289,f27]) ).

fof(f297,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,u,u)
        | ~ between(X0,u,x)
        | u = X0
        | equidistant(u,X1,x,X1) )
    | ~ spl0_4 ),
    inference(resolution,[],[f291,f122]) ).

fof(f301,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,u,x)
        | u = X0
        | equidistant(u,X1,x,X1) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f297,f200]) ).

fof(f303,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f301,f101,f260,f257]) ).

fof(f307,plain,
    ( u = x
    | ~ spl0_9 ),
    inference(resolution,[],[f258,f3]) ).

fof(f316,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f307,f257,f87]) ).

fof(f323,plain,
    ( u != v
    | ~ spl0_1 ),
    inference(superposition,[],[f22,f89]) ).

fof(f376,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | inner_pasch(X1,X2,X2,X1,X0) = X1 ),
    inference(resolution,[],[f200,f187]) ).

fof(f382,plain,
    ! [X2,X3,X0,X1] : inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1) = X0,
    inference(resolution,[],[f376,f4]) ).

fof(f409,plain,
    ! [X2,X3,X0,X1] :
      ( between(extension(X1,X0,X2,X3),X0,X1)
      | ~ between(X1,X0,extension(X1,X0,X2,X3))
      | ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3)) ),
    inference(superposition,[],[f8,f382]) ).

fof(f410,plain,
    ! [X2,X3,X0,X1] :
      ( between(extension(X1,X0,X2,X3),X0,X1)
      | ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3)) ),
    inference(forward_subsumption_resolution,[],[f409,f4]) ).

fof(f411,plain,
    ! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
    inference(forward_subsumption_resolution,[],[f410,f200]) ).

fof(f417,plain,
    ( ! [X0,X1] : u = extension(x,u,X0,X1)
    | ~ spl0_10 ),
    inference(resolution,[],[f411,f261]) ).

fof(f425,plain,
    ( ! [X0,X1] : equidistant(u,u,X0,X1)
    | ~ spl0_10 ),
    inference(superposition,[],[f5,f417]) ).

fof(f437,plain,
    ( ! [X2,X0,X1] : equidistant(X0,X1,X2,X2)
    | ~ spl0_10 ),
    inference(resolution,[],[f425,f39]) ).

fof(f448,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl0_10 ),
    inference(resolution,[],[f437,f3]) ).

fof(f519,plain,
    ( ! [X0] : v != X0
    | ~ spl0_10 ),
    inference(superposition,[],[f22,f448]) ).

fof(f612,plain,
    ( $false
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f519,f448]) ).

fof(f613,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f612]) ).

fof(f617,plain,
    ( ~ spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f323,f87,f101]) ).

fof(f739,plain,
    ! [X0,X1] : u = inner_pasch(u,v,w,u,extension(w,u,X0,X1)),
    inference(resolution,[],[f189,f411]) ).

fof(f869,plain,
    ( ! [X0,X1] :
        ( ~ between(w,u,X0)
        | ~ equidistant(X0,u,X0,u)
        | ~ between(X0,u,X1)
        | ~ between(X0,u,X1)
        | u = X0
        | equidistant(X1,v,X1,x) )
    | ~ spl0_6 ),
    inference(resolution,[],[f111,f56]) ).

fof(f880,plain,
    ( ! [X0,X1] :
        ( ~ between(w,u,X0)
        | ~ equidistant(X0,u,X0,u)
        | ~ between(X0,u,X1)
        | u = X0
        | equidistant(X1,v,X1,x) )
    | ~ spl0_6 ),
    inference(duplicate_literal_removal,[],[f869]) ).

fof(f894,plain,
    ( ! [X0,X1] :
        ( ~ between(w,u,X0)
        | ~ between(X0,u,X1)
        | u = X0
        | equidistant(X1,v,X1,x) )
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f880,f47]) ).

fof(f911,plain,
    ( ! [X2,X0,X1] :
        ( ~ between(extension(w,u,X0,X1),u,X2)
        | u = extension(w,u,X0,X1)
        | equidistant(X2,v,X2,x) )
    | ~ spl0_6 ),
    inference(resolution,[],[f894,f4]) ).

fof(f919,plain,
    ! [X0,X1] :
      ( between(v,u,extension(w,u,X0,X1))
      | ~ between(extension(w,u,X0,X1),u,w)
      | ~ between(u,v,w) ),
    inference(superposition,[],[f8,f739]) ).

fof(f920,plain,
    ! [X0,X1] :
      ( between(v,u,extension(w,u,X0,X1))
      | ~ between(extension(w,u,X0,X1),u,w) ),
    inference(forward_subsumption_resolution,[],[f919,f19]) ).

fof(f921,plain,
    ! [X0,X1] : between(v,u,extension(w,u,X0,X1)),
    inference(forward_subsumption_resolution,[],[f920,f411]) ).

fof(f924,plain,
    ! [X0,X1] :
      ( u = v
      | extension(w,u,X0,X1) = extension(v,u,u,extension(w,u,X0,X1)) ),
    inference(resolution,[],[f921,f202]) ).

fof(f929,plain,
    ( ! [X0,X1] : extension(w,u,X0,X1) = extension(v,u,u,extension(w,u,X0,X1))
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f924,f102]) ).

fof(f939,plain,
    ( ! [X0,X1] : between(extension(w,u,X0,X1),u,v)
    | spl0_4 ),
    inference(superposition,[],[f411,f929]) ).

fof(f1571,plain,
    ( ! [X0,X1] :
        ( u = extension(w,u,X0,X1)
        | equidistant(v,v,v,x) )
    | spl0_4
    | ~ spl0_6 ),
    inference(resolution,[],[f911,f939]) ).

fof(f1577,definition,
    ( spl0_29
  <=> equidistant(v,v,v,x) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f1579,plain,
    ( equidistant(v,v,v,x)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f1581,definition,
    ( spl0_30
  <=> ! [X0,X1] : u = extension(w,u,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f1582,plain,
    ( ! [X0,X1] : u = extension(w,u,X0,X1)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f1583,plain,
    ( spl0_29
    | spl0_30
    | spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1571,f110,f101,f1581,f1577]) ).

fof(f1590,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,v,v)
        | ~ between(X0,v,x)
        | v = X0
        | equidistant(v,X1,x,X1) )
    | ~ spl0_29 ),
    inference(resolution,[],[f1579,f122]) ).

fof(f1592,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,v,x)
        | v = X0
        | equidistant(v,X1,x,X1) )
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f1590,f200]) ).

fof(f1597,definition,
    ( spl0_31
  <=> ! [X0] :
        ( ~ between(X0,v,x)
        | v = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f1598,plain,
    ( ! [X0] :
        ( ~ between(X0,v,x)
        | v = X0 )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f1599,plain,
    ( spl0_7
    | spl0_31
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1592,f1577,f1597,f136]) ).

fof(f1625,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ equidistant(u,u,X2,X3)
        | equidistant(X2,X3,X0,X1) )
    | ~ spl0_30 ),
    inference(superposition,[],[f28,f1582]) ).

fof(f1628,plain,
    ( ! [X0,X1] : equidistant(u,u,X0,X1)
    | ~ spl0_30 ),
    inference(superposition,[],[f161,f1582]) ).

fof(f1636,plain,
    ( ! [X2,X3,X0,X1] : equidistant(X2,X3,X0,X1)
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f1625,f1628]) ).

fof(f1645,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl0_30 ),
    inference(resolution,[],[f1636,f3]) ).

fof(f1825,plain,
    ( ! [X0] : v != X0
    | ~ spl0_30 ),
    inference(superposition,[],[f22,f1645]) ).

fof(f2046,plain,
    ( $false
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f1825,f1645]) ).

fof(f2047,plain,
    ~ spl0_30,
    inference(avatar_contradiction_clause,[],[f2046]) ).

fof(f2055,plain,
    ( ! [X0,X1] : v = extension(x,v,X0,X1)
    | ~ spl0_31 ),
    inference(resolution,[],[f1598,f411]) ).

fof(f2071,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ equidistant(v,v,X2,X3)
        | equidistant(X2,X3,X0,X1) )
    | ~ spl0_31 ),
    inference(superposition,[],[f28,f2055]) ).

fof(f2074,plain,
    ( ! [X0,X1] : equidistant(v,v,X0,X1)
    | ~ spl0_31 ),
    inference(superposition,[],[f161,f2055]) ).

fof(f2082,plain,
    ( ! [X2,X3,X0,X1] : equidistant(X2,X3,X0,X1)
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f2071,f2074]) ).

fof(f2091,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl0_31 ),
    inference(resolution,[],[f2082,f3]) ).

fof(f2272,plain,
    ( ! [X0] : v != X0
    | ~ spl0_31 ),
    inference(superposition,[],[f22,f2091]) ).

fof(f2498,plain,
    ( $false
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f2272,f2091]) ).

fof(f2499,plain,
    ~ spl0_31,
    inference(avatar_contradiction_clause,[],[f2498]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f112]) ).

cnf(s6,plain,
    ~ spl0_7,
    inference(sat_conversion,[],[f155]) ).

cnf(s7,plain,
    ( spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f166]) ).

cnf(s10,plain,
    ( ~ spl0_4
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f303]) ).

cnf(s11,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s16,plain,
    ~ spl0_10,
    inference(sat_conversion,[],[f613]) ).

cnf(s18,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s42,plain,
    ( spl0_4
    | ~ spl0_6
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s44,plain,
    ( spl0_7
    | ~ spl0_29
    | spl0_31 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s52,plain,
    ~ spl0_30,
    inference(sat_conversion,[],[f2047]) ).

cnf(s62,plain,
    ~ spl0_31,
    inference(sat_conversion,[],[f2499]) ).

cnf(s66,plain,
    ( spl0_7
    | ~ spl0_29 ),
    inference(rat,[],[s44,s62]) ).

cnf(s67,plain,
    ( spl0_4
    | ~ spl0_6
    | spl0_29 ),
    inference(rat,[],[s42,s52]) ).

cnf(s68,plain,
    ( ~ spl0_4
    | spl0_9 ),
    inference(rat,[],[s10,s16]) ).

cnf(s70,plain,
    ~ spl0_29,
    inference(rat,[],[s66,s6]) ).

cnf(s74,plain,
    spl0_4,
    inference(rat,[],[s3,s7,s67,s70]) ).

cnf(s75,plain,
    ~ spl0_1,
    inference(rat,[],[s18,s74]) ).

cnf(s76,plain,
    spl0_9,
    inference(rat,[],[s68,s74]) ).

cnf(s78,plain,
    $false,
    inference(rat,[],[s11,s76,s75]) ).

fof(f2506,plain,
    $false,
    inference(avatar_sat_refutation,[],[s78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO034-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  % Computer : n017.cluster.edu
% 0.11/0.40  % Model    : x86_64 x86_64
% 0.11/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40  % Memory   : 8046.5625MB
% 0.11/0.40  % OS       : Linux 6.8.0-71-generic
% 0.11/0.40  % CPULimit : 300
% 0.11/0.40  % WCLimit  : 300
% 0.11/0.40  % DateTime : Sun Sep 27 06:34:56 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44  Running first-order theorem proving
% 0.11/0.44  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.55/2.10  % (2192319)Input is clausal, will run a generic CNF schedule.
% 8.55/2.10  % (2192327)lrs+10_1_sil=8000:sp=occurrence:random_seed=689349952:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.55/2.10  % (2192327)Instruction limit reached! 
% 8.55/2.10  % (2192327)------------------------------
% 8.55/2.10  % (2192327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192327)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192327)Termination reason: Instruction limit
% 8.55/2.10  % (2192327)Termination phase: Saturation
% 8.55/2.10  % (2192327)Time elapsed: 0.040 s
% 8.55/2.10  % (2192327)Peak memory usage: 89 MB
% 8.55/2.10  % (2192327)Instructions burned: 109 (million)
% 8.55/2.10  % (2192328)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4016335408:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.55/2.10  % (2192325)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3509558553:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.55/2.10  % (2192329)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1732370829:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.55/2.10  % (2192324)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=3435033442:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.55/2.10  % (2192330)dis-21_1_sil=8000:lcm=predicate:random_seed=1928278140: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)
% 8.55/2.10  % (2192326)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=222595778:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.55/2.10  % (2192328)Instruction limit reached! 
% 8.55/2.10  % (2192328)------------------------------
% 8.55/2.10  % (2192328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192328)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192328)Termination reason: Instruction limit
% 8.55/2.10  % (2192328)Termination phase: Saturation
% 8.55/2.10  % (2192328)Time elapsed: 0.068 s
% 8.55/2.10  % (2192328)Peak memory usage: 88 MB
% 8.55/2.10  % (2192328)Instructions burned: 115 (million)
% 8.55/2.10  % (2192330)Instruction limit reached! 
% 8.55/2.10  % (2192330)------------------------------
% 8.55/2.10  % (2192330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192330)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192330)Termination reason: Instruction limit
% 8.55/2.10  % (2192330)Termination phase: Saturation
% 8.55/2.10  % (2192330)Time elapsed: 0.072 s
% 8.55/2.10  % (2192330)Peak memory usage: 88 MB
% 8.55/2.10  % (2192330)Instructions burned: 118 (million)
% 8.55/2.10  % (2192329)Instruction limit reached! 
% 8.55/2.10  % (2192329)------------------------------
% 8.55/2.10  % (2192329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192329)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192329)Termination reason: Instruction limit
% 8.55/2.10  % (2192329)Termination phase: Saturation
% 8.55/2.10  % (2192329)Time elapsed: 0.109 s
% 8.55/2.10  % (2192329)Peak memory usage: 89 MB
% 8.55/2.10  % (2192329)Instructions burned: 180 (million)
% 8.55/2.10  % (2192338)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=3095037409:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.55/2.10  % (2192338)Instruction limit reached! 
% 8.55/2.10  % (2192338)------------------------------
% 8.55/2.10  % (2192338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192338)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192338)Termination reason: Instruction limit
% 8.55/2.10  % (2192338)Termination phase: Saturation
% 8.55/2.10  % (2192338)Time elapsed: 0.053 s
% 8.55/2.10  % (2192338)Peak memory usage: 89 MB
% 8.55/2.10  % (2192338)Instructions burned: 143 (million)
% 8.55/2.10  % (2192340)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=798902919:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.55/2.10  % (2192339)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2147244102: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)
% 8.55/2.10  % (2192342)lrs+10_64_to=lpo:sil=8000:random_seed=3337349488:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.55/2.10  % (2192343)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1609832863:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.55/2.10  % (2192339)Instruction limit reached! 
% 8.55/2.10  % (2192339)------------------------------
% 8.55/2.10  % (2192339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192339)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192339)Termination reason: Instruction limit
% 8.55/2.10  % (2192339)Termination phase: Saturation
% 8.55/2.10  % (2192339)Time elapsed: 0.103 s
% 8.55/2.10  % (2192339)Peak memory usage: 89 MB
% 8.55/2.10  % (2192339)Instructions burned: 190 (million)
% 8.55/2.10  % (2192340)Instruction limit reached! 
% 8.55/2.10  % (2192340)------------------------------
% 8.55/2.10  % (2192340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192340)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192340)Termination reason: Instruction limit
% 8.55/2.10  % (2192340)Termination phase: Saturation
% 8.55/2.10  % (2192340)Time elapsed: 0.120 s
% 8.55/2.10  % (2192340)Peak memory usage: 88 MB
% 8.55/2.10  % (2192340)Instructions burned: 220 (million)
% 8.55/2.10  % (2192342)Instruction limit reached! 
% 8.55/2.10  % (2192342)------------------------------
% 8.55/2.10  % (2192342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192342)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192342)Termination reason: Instruction limit
% 8.55/2.10  % (2192342)Termination phase: Saturation
% 8.55/2.10  % (2192342)Time elapsed: 0.079 s
% 8.55/2.10  % (2192342)Peak memory usage: 88 MB
% 8.55/2.10  % (2192342)Instructions burned: 126 (million)
% 8.55/2.10  % (2192343)Instruction limit reached! 
% 8.55/2.10  % (2192343)------------------------------
% 8.55/2.10  % (2192343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192343)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192343)Termination reason: Instruction limit
% 8.55/2.10  % (2192343)Termination phase: Saturation
% 8.55/2.10  % (2192343)Time elapsed: 0.072 s
% 8.55/2.10  % (2192343)Peak memory usage: 89 MB
% 8.55/2.10  % (2192343)Instructions burned: 195 (million)
% 8.55/2.10  % (2192351)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4097076405:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 8.55/2.10  % (2192348)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3429061786:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.55/2.10  % (2192349)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1524162833:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.55/2.10  % (2192351)Instruction limit reached! 
% 8.55/2.10  % (2192351)------------------------------
% 8.55/2.10  % (2192351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192351)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192351)Termination reason: Instruction limit
% 8.55/2.10  % (2192351)Termination phase: Saturation
% 8.55/2.10  % (2192351)Time elapsed: 0.038 s
% 8.55/2.10  % (2192351)Peak memory usage: 89 MB
% 8.55/2.10  % (2192351)Instructions burned: 107 (million)
% 8.55/2.10  % (2192350)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=247268352:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.55/2.10  % (2192350)Instruction limit reached! 
% 8.55/2.10  % (2192350)------------------------------
% 8.55/2.10  % (2192350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192350)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192350)Termination reason: Instruction limit
% 8.55/2.10  % (2192350)Termination phase: Saturation
% 8.55/2.10  % (2192350)Time elapsed: 0.060 s
% 8.55/2.10  % (2192350)Peak memory usage: 88 MB
% 8.55/2.10  % (2192350)Instructions burned: 107 (million)
% 8.55/2.10  % (2192348)Instruction limit reached! 
% 8.55/2.10  % (2192348)------------------------------
% 8.55/2.10  % (2192348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192348)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192348)Termination reason: Instruction limit
% 8.55/2.10  % (2192348)Termination phase: Saturation
% 8.55/2.10  % (2192348)Time elapsed: 0.105 s
% 8.55/2.10  % (2192348)Peak memory usage: 90 MB
% 8.55/2.10  % (2192348)Instructions burned: 157 (million)
% 8.55/2.10  % (2192355)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=519951288:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.55/2.10  % (2192355)Instruction limit reached! 
% 8.55/2.10  % (2192355)------------------------------
% 8.55/2.10  % (2192355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192355)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192355)Termination reason: Instruction limit
% 8.55/2.10  % (2192355)Termination phase: Saturation
% 8.55/2.10  % (2192355)Time elapsed: 0.084 s
% 8.55/2.10  % (2192355)Peak memory usage: 90 MB
% 8.55/2.10  % (2192355)Instructions burned: 243 (million)
% 8.55/2.10  % (2192358)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3426171677:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 8.55/2.10  % (2192357)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3462224642:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.55/2.10  % (2192324)First to succeed.
% 8.55/2.10  % (2192324)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2192319"
% 8.55/2.10  % (2192358)Instruction limit reached! 
% 8.55/2.10  % (2192358)------------------------------
% 8.55/2.10  % (2192358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192358)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192358)Termination reason: Instruction limit
% 8.55/2.10  % (2192358)Termination phase: Saturation
% 8.55/2.10  % (2192358)Time elapsed: 0.100 s
% 8.55/2.10  % (2192358)Peak memory usage: 89 MB
% 8.55/2.10  % (2192358)Instructions burned: 134 (million)
% 8.55/2.10  % (2192360)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2917149785:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 8.55/2.10  % (2192360)Instruction limit reached! 
% 8.55/2.10  % (2192360)------------------------------
% 8.55/2.10  % (2192360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.10  % (2192360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.10  % (2192360)CaDiCaL version: 2.1.3
% 8.55/2.10  % (2192360)Termination reason: Instruction limit
% 8.55/2.10  % (2192360)Termination phase: Saturation
% 8.55/2.10  % (2192360)Time elapsed: 0.147 s
% 8.55/2.10  % (2192360)Peak memory usage: 92 MB
% 8.55/2.10  % (2192360)Instructions burned: 499 (million)
% 8.55/2.10  % (2192363)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1926012496:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 8.55/2.10  % (2192324)Refutation found. Thanks to Tanya!
% 8.55/2.10  % SZS status Unsatisfiable for theBenchmark
% 8.55/2.10  % SZS output start Proof for theBenchmark
% See solution above
% 9.09/2.19  % (2192324)------------------------------
% 9.09/2.19  % (2192324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.09/2.19  % (2192324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/2.19  % (2192324)CaDiCaL version: 2.1.3
% 9.09/2.19  % (2192324)Termination reason: Refutation
% 9.09/2.19  % (2192324)Time elapsed: 0.789 s
% 9.09/2.19  % (2192324)Peak memory usage: 129 MB
% 9.09/2.19  % (2192324)Instructions burned: 1156 (million)
% 9.09/2.19  % (2192324)------------------------------
% 9.09/2.19  % (2192324)------------------------------
% 9.09/2.19  % (2192319)Success in time 1.218 s
% 9.09/2.19  % Vampire exiting
%------------------------------------------------------------------------------