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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV403+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 01:21:10 PM UTC 2026

% Result   : Theorem 0.09s 0.27s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   85 (  11 unt;   7 def)
%            Number of atoms       :  194 (  27 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  183 (  74   ~;  80   |;  12   &)
%                                         (   9 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  133 (   0 sgn 121   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( less_than(X0,X1)
        & ~ less_than(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
    <=> ( pair_in_list(X0,X2,X4)
        | ( X1 = X2
          & X3 = X4 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax23) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3] :
      ( strictly_less_than(X3,X2)
     => update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax29) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3] :
      ( less_than(X2,X3)
     => update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax30) ).

fof(f19,conjecture,
    ! [X0] :
      ( ! [X1,X2,X3] :
          ( ( pair_in_list(X0,X1,X2)
            & strictly_less_than(X2,X3) )
         => pair_in_list(update_slb(X0,X3),X1,X3) )
     => ! [X4,X5,X6,X7,X8] :
          ( ( pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
            & strictly_less_than(X5,X6) )
         => pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l39_co) ).

fof(f20,negated_conjecture,
    ~ ! [X0] :
        ( ! [X1,X2,X3] :
            ( ( pair_in_list(X0,X1,X2)
              & strictly_less_than(X2,X3) )
           => pair_in_list(update_slb(X0,X3),X1,X3) )
       => ! [X4,X5,X6,X7,X8] :
            ( ( pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
              & strictly_less_than(X5,X6) )
           => pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3] :
      ( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
      | ~ strictly_less_than(X3,X2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
      | ~ less_than(X2,X3) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f29,plain,
    ? [X0] :
      ( ? [X4,X5,X6,X7,X8] :
          ( ~ pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6)
          & pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
          & strictly_less_than(X5,X6) )
      & ! [X1,X2,X3] :
          ( pair_in_list(update_slb(X0,X3),X1,X3)
          | ~ pair_in_list(X0,X1,X2)
          | ~ strictly_less_than(X2,X3) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f30,plain,
    ? [X0] :
      ( ? [X4,X5,X6,X7,X8] :
          ( ~ pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6)
          & pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
          & strictly_less_than(X5,X6) )
      & ! [X1,X2,X3] :
          ( pair_in_list(update_slb(X0,X3),X1,X3)
          | ~ pair_in_list(X0,X1,X2)
          | ~ strictly_less_than(X2,X3) ) ),
    inference(flattening,[],[f29]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | ~ less_than(X0,X1)
      | strictly_less_than(X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X3 != X4
      | X1 != X2
      | pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | pair_in_list(X0,X2,X4)
      | X3 = X4 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f47,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | pair_in_list(X0,X2,X4)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f11]) ).

fof(f48,plain,
    ! [X2,X3,X0,X1,X4] :
      ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
      | ~ pair_in_list(X0,X2,X4) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f54,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X3,X2)
      | update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f55,plain,
    ! [X2,X3,X0,X1] :
      ( ~ less_than(X2,X3)
      | update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f56,plain,
    strictly_less_than(sK2,sK3),
    inference(cnf_transformation,[],[f30]) ).

fof(f57,plain,
    pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2),
    inference(cnf_transformation,[],[f30]) ).

fof(f58,plain,
    ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK3),
    inference(cnf_transformation,[],[f30]) ).

fof(f59,plain,
    ! [X2,X3,X1] :
      ( ~ strictly_less_than(X2,X3)
      | ~ pair_in_list(sK0,X1,X2)
      | pair_in_list(update_slb(sK0,X3),X1,X3) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f61,plain,
    ! [X2,X0,X1,X4] :
      ( X1 != X2
      | pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4) ),
    inference(equality_resolution,[],[f45]) ).

fof(f62,plain,
    ! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
    inference(equality_resolution,[],[f61]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | ~ less_than(X0,X1)
      | ~ strictly_less_than(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f72,plain,
    ! [X2,X3,X0,X1] :
      ( strictly_less_than(X3,X2)
      | update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f73,plain,
    ! [X2,X3,X1] :
      ( ~ pair_in_list(sK0,X1,X2)
      | strictly_less_than(X2,X3)
      | pair_in_list(update_slb(sK0,X3),X1,X3) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f74,plain,
    ~ strictly_less_than(sK2,sK3),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(forward_subsumption_resolution,[],[f63,f32]) ).

fof(f101,plain,
    ( pair_in_list(sK0,sK1,sK2)
    | sK2 = sK5 ),
    inference(resolution,[],[f46,f57]) ).

fof(f105,definition,
    ( spl6_1
  <=> sK2 = sK5 ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

fof(f107,plain,
    ( sK2 = sK5
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f109,definition,
    ( spl6_2
  <=> pair_in_list(sK0,sK1,sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

fof(f111,plain,
    ( pair_in_list(sK0,sK1,sK2)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f112,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f101,f109,f105]) ).

fof(f113,plain,
    ( pair_in_list(sK0,sK1,sK2)
    | sK1 = sK4 ),
    inference(resolution,[],[f47,f57]) ).

fof(f117,definition,
    ( spl6_3
  <=> sK1 = sK4 ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

fof(f119,plain,
    ( sK1 = sK4
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f120,plain,
    ( spl6_3
    | spl6_2 ),
    inference(avatar_split_clause,[],[f113,f109,f117]) ).

fof(f121,plain,
    ( ! [X0] :
        ( pair_in_list(update_slb(sK0,X0),sK1,X0)
        | strictly_less_than(sK2,X0) )
    | ~ spl6_2 ),
    inference(resolution,[],[f111,f73]) ).

fof(f133,plain,
    ! [X0,X1] : update_slb(insert_slb(X0,pair(X1,sK2)),sK3) = insert_slb(update_slb(X0,sK3),pair(X1,sK3)),
    inference(resolution,[],[f72,f74]) ).

fof(f134,plain,
    ! [X2,X3,X0,X1] :
      ( less_than(X3,X2)
      | update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X3)) ),
    inference(resolution,[],[f72,f91]) ).

fof(f183,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X3))
      | update_slb(insert_slb(X4,pair(X5,X2)),X3) = insert_slb(update_slb(X4,X3),pair(X5,X2)) ),
    inference(resolution,[],[f134,f55]) ).

fof(f356,definition,
    ( spl6_5
  <=> pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

fof(f358,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK3)
    | spl6_5 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f399,plain,
    ! [X0,X1] :
      ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK3)
      | insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3) ),
    inference(superposition,[],[f58,f183]) ).

fof(f404,definition,
    ( spl6_6
  <=> ! [X0,X1] : insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X0,X1] : insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3)
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( spl6_6
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f399,f356,f404]) ).

fof(f411,definition,
    ( spl6_8
  <=> pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).

fof(f412,plain,
    ( pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK3)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f413,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK3)
    | spl6_8 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f488,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3)
    | spl6_5 ),
    inference(resolution,[],[f358,f48]) ).

fof(f489,plain,
    ( strictly_less_than(sK2,sK3)
    | ~ spl6_2
    | spl6_5 ),
    inference(resolution,[],[f488,f121]) ).

fof(f490,plain,
    ( $false
    | ~ spl6_2
    | spl6_5 ),
    inference(forward_subsumption_resolution,[],[f489,f74]) ).

fof(f491,plain,
    ( ~ spl6_2
    | spl6_5 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f498,plain,
    ( ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK1,sK5)),sK3),sK1,sK3)
    | ~ spl6_3 ),
    inference(superposition,[],[f58,f119]) ).

fof(f501,plain,
    ( ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK1,sK2)),sK3),sK1,sK3)
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(forward_demodulation,[],[f498,f107]) ).

fof(f503,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK1,sK3)),sK1,sK3)
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(forward_demodulation,[],[f501,f133]) ).

fof(f504,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(forward_subsumption_resolution,[],[f503,f62]) ).

fof(f505,plain,
    ( ~ spl6_1
    | ~ spl6_3 ),
    inference(avatar_contradiction_clause,[],[f504]) ).

fof(f522,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3)
    | spl6_8 ),
    inference(resolution,[],[f413,f48]) ).

fof(f530,definition,
    ( spl6_10
  <=> pair_in_list(update_slb(sK0,sK3),sK1,sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3)
    | spl6_10 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f578,plain,
    ( ~ spl6_10
    | spl6_8 ),
    inference(avatar_split_clause,[],[f522,f411,f530]) ).

fof(f579,plain,
    ( strictly_less_than(sK2,sK3)
    | ~ spl6_2
    | spl6_10 ),
    inference(resolution,[],[f531,f121]) ).

fof(f580,plain,
    ( $false
    | ~ spl6_2
    | spl6_10 ),
    inference(forward_subsumption_resolution,[],[f579,f74]) ).

fof(f581,plain,
    ( ~ spl6_2
    | spl6_10 ),
    inference(avatar_contradiction_clause,[],[f580]) ).

fof(f600,plain,
    ( ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK3)
    | ~ spl6_6 ),
    inference(superposition,[],[f58,f405]) ).

fof(f604,plain,
    ( $false
    | ~ spl6_6
    | ~ spl6_8 ),
    inference(forward_subsumption_resolution,[],[f600,f412]) ).

fof(f605,plain,
    ( ~ spl6_6
    | ~ spl6_8 ),
    inference(avatar_contradiction_clause,[],[f604]) ).

cnf(s1,plain,
    ( spl6_1
    | spl6_2 ),
    inference(sat_conversion,[],[f112]) ).

cnf(s2,plain,
    ( spl6_2
    | spl6_3 ),
    inference(sat_conversion,[],[f120]) ).

cnf(s5,plain,
    ( ~ spl6_5
    | spl6_6 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s7,plain,
    ( ~ spl6_2
    | spl6_5 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s9,plain,
    ( ~ spl6_1
    | ~ spl6_3 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s13,plain,
    ( spl6_8
    | ~ spl6_10 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s14,plain,
    ( ~ spl6_2
    | spl6_10 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s18,plain,
    ( ~ spl6_6
    | ~ spl6_8 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s19,plain,
    ~ spl6_2,
    inference(rat,[],[s18,s5,s13,s7,s14]) ).

cnf(s20,plain,
    spl6_3,
    inference(rat,[],[s2,s19]) ).

cnf(s21,plain,
    spl6_1,
    inference(rat,[],[s1,s19]) ).

cnf(s22,plain,
    $false,
    inference(rat,[],[s9,s20,s21]) ).

fof(f606,plain,
    $false,
    inference(avatar_sat_refutation,[],[s22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV403+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16  % Computer : n015.cluster.edu
% 0.09/0.16  % Model    : x86_64 x86_64
% 0.09/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16  % Memory   : 8046.5625MB
% 0.09/0.16  % OS       : Linux 6.8.0-71-generic
% 0.09/0.16  % CPULimit : 300
% 0.09/0.16  % WCLimit  : 300
% 0.09/0.16  % DateTime : Mon Sep 28 10:53:47 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  Running first-order model finding
% 0.09/0.20  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
% 0.09/0.27  % (2540256)Will run a generic schedule for satisfiability detection.
% 0.09/0.27  % (2540261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2651065504_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.27  % TRYING [1]
% 0.09/0.27  % TRYING [2]
% 0.09/0.27  % TRYING [3]
% 0.09/0.27  % (2540262)% WARNING: option uhcvi not known.
% 0.09/0.27  % TRYING [4]
% 0.09/0.27  % (2540264)dis+10_1_sil=32000:sp=arity:random_seed=4041916662:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.27  % (2540262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3932197572:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.27  % (2540263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3573226927:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.27  % (2540266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3624169957:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.27  % (2540265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1517857862:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.27  % (2540267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2625842023:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.27  % TRYING [5]
% 0.09/0.27  % (2540262) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2540256-2540262"...
% 0.09/0.27  % (2540262)...printing done.
% 0.09/0.27  % (2540262)Refutation found. Thanks to Tanya!
% 0.09/0.27  % SZS status Theorem for theBenchmark
% 0.09/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27  % (2540262)------------------------------
% 0.09/0.27  % (2540262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27  % (2540262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27  % (2540262)CaDiCaL version: 2.1.3
% 0.09/0.27  % (2540262)Termination reason: Refutation
% 0.09/0.27  % (2540262)Time elapsed: 0.024 s
% 0.09/0.27  % (2540262)Peak memory usage: 13 MB
% 0.09/0.27  % (2540262)Instructions burned: 36 (million)
% 0.09/0.27  % (2540256)Success in time 0.061 s
% 0.09/0.27  % Vampire exiting
%------------------------------------------------------------------------------