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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET018+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 12:42:38 PM UTC 2026

% Result   : Theorem 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  101 (  17 unt;   4 def)
%            Number of atoms       :  253 (  62 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  261 ( 109   ~; 123   |;  16   &)
%                                         (   9 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn  73   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',singleton) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( X0 = X1
        | X0 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',unordered_pair) ).

fof(f12,conjecture,
    ! [X0,X1,X2,X3] :
      ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3)))
     => X1 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI50b) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3)))
       => X1 = X3 ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
     => ( subset(X0,X1)
        & subset(X1,X0) ) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        & subset(X1,X0) )
      | ~ equal_set(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f18,plain,
    ? [X0,X1,X2,X3] :
      ( X1 != X3
      & equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3))) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK0(X0,X1),X1)
          & member(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f20]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( member(X0,singleton(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ member(X0,singleton(X1)) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X1
          & X0 != X2 ) )
      & ( X0 = X1
        | X0 = X2
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X1
          & X0 != X2 ) )
      & ( X0 = X1
        | X0 = X2
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f30]) ).

fof(f38,plain,
    ( sK4 != sK6
    & equal_set(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f18]) ).

fof(f39,plain,
    ! [X3,X0,X1] :
      ( ~ member(X3,X0)
      | member(X3,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ equal_set(X0,X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ equal_set(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f59,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X2 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f67,plain,
    equal_set(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))),
    inference(cnf_transformation,[],[f38]) ).

fof(f68,plain,
    sK4 != sK6,
    inference(cnf_transformation,[],[f38]) ).

fof(f69,plain,
    ! [X1] : member(X1,singleton(X1)),
    inference(equality_resolution,[],[f57]) ).

fof(f70,plain,
    ! [X2,X1] : member(X1,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f60]) ).

fof(f71,plain,
    ! [X2,X1] : member(X2,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f59]) ).

fof(f72,plain,
    subset(unordered_pair(singleton(sK5),unordered_pair(sK5,sK6)),unordered_pair(singleton(sK3),unordered_pair(sK3,sK4))),
    inference(resolution,[],[f42,f67]) ).

fof(f73,plain,
    subset(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))),
    inference(resolution,[],[f43,f67]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ subset(unordered_pair(X0,X2),X1)
      | member(X0,X1) ),
    inference(resolution,[],[f39,f70]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ subset(unordered_pair(X2,X0),X1)
      | member(X0,X1) ),
    inference(resolution,[],[f39,f71]) ).

fof(f97,plain,
    member(singleton(sK5),unordered_pair(singleton(sK3),unordered_pair(sK3,sK4))),
    inference(resolution,[],[f92,f72]) ).

fof(f98,plain,
    member(singleton(sK3),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))),
    inference(resolution,[],[f92,f73]) ).

fof(f162,plain,
    ( unordered_pair(sK3,sK4) = singleton(sK5)
    | singleton(sK3) = singleton(sK5) ),
    inference(resolution,[],[f58,f97]) ).

fof(f163,plain,
    ( singleton(sK3) = unordered_pair(sK5,sK6)
    | singleton(sK3) = singleton(sK5) ),
    inference(resolution,[],[f58,f98]) ).

fof(f168,definition,
    ( spl7_1
  <=> singleton(sK3) = singleton(sK5) ),
    introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).

fof(f170,plain,
    ( singleton(sK3) = singleton(sK5)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f172,definition,
    ( spl7_2
  <=> singleton(sK3) = unordered_pair(sK5,sK6) ),
    introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).

fof(f173,plain,
    ( singleton(sK3) != unordered_pair(sK5,sK6)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f174,plain,
    ( singleton(sK3) = unordered_pair(sK5,sK6)
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f175,plain,
    ( spl7_1
    | spl7_2 ),
    inference(avatar_split_clause,[],[f163,f172,f168]) ).

fof(f177,definition,
    ( spl7_3
  <=> unordered_pair(sK3,sK4) = singleton(sK5) ),
    introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).

fof(f178,plain,
    ( unordered_pair(sK3,sK4) != singleton(sK5)
    | spl7_3 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f179,plain,
    ( unordered_pair(sK3,sK4) = singleton(sK5)
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f180,plain,
    ( spl7_1
    | spl7_3 ),
    inference(avatar_split_clause,[],[f162,f177,f168]) ).

fof(f190,plain,
    ( member(sK6,singleton(sK3))
    | ~ spl7_2 ),
    inference(superposition,[],[f71,f174]) ).

fof(f191,plain,
    ( member(sK5,singleton(sK3))
    | ~ spl7_2 ),
    inference(superposition,[],[f70,f174]) ).

fof(f195,plain,
    ( sK3 = sK6
    | ~ spl7_2 ),
    inference(resolution,[],[f190,f56]) ).

fof(f203,plain,
    ( sK3 != sK4
    | ~ spl7_2 ),
    inference(superposition,[],[f68,f195]) ).

fof(f212,plain,
    member(unordered_pair(sK5,sK6),unordered_pair(singleton(sK3),unordered_pair(sK3,sK4))),
    inference(resolution,[],[f93,f72]) ).

fof(f213,plain,
    member(unordered_pair(sK3,sK4),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))),
    inference(resolution,[],[f93,f73]) ).

fof(f222,plain,
    ( sK3 = sK5
    | ~ spl7_2 ),
    inference(resolution,[],[f191,f56]) ).

fof(f249,plain,
    ( singleton(sK3) = unordered_pair(sK3,sK4)
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(forward_demodulation,[],[f179,f222]) ).

fof(f259,plain,
    ( member(sK4,singleton(sK3))
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(superposition,[],[f71,f249]) ).

fof(f275,plain,
    ( sK3 = sK4
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(resolution,[],[f259,f56]) ).

fof(f278,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(forward_subsumption_resolution,[],[f275,f203]) ).

fof(f279,plain,
    ( ~ spl7_2
    | ~ spl7_3 ),
    inference(avatar_contradiction_clause,[],[f278]) ).

fof(f294,plain,
    ( member(sK5,singleton(sK3))
    | ~ spl7_1 ),
    inference(superposition,[],[f69,f170]) ).

fof(f296,plain,
    ( sK3 = sK5
    | ~ spl7_1 ),
    inference(resolution,[],[f294,f56]) ).

fof(f310,plain,
    ( singleton(sK3) != unordered_pair(sK3,sK6)
    | ~ spl7_1
    | spl7_2 ),
    inference(forward_demodulation,[],[f173,f296]) ).

fof(f708,plain,
    ( singleton(sK3) != unordered_pair(sK3,sK4)
    | ~ spl7_1
    | spl7_3 ),
    inference(forward_demodulation,[],[f178,f170]) ).

fof(f715,plain,
    ( member(unordered_pair(sK3,sK6),unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)))
    | ~ spl7_1 ),
    inference(forward_demodulation,[],[f212,f296]) ).

fof(f752,plain,
    ( member(unordered_pair(sK3,sK4),unordered_pair(singleton(sK3),unordered_pair(sK3,sK6)))
    | ~ spl7_1 ),
    inference(forward_demodulation,[],[f213,f296]) ).

fof(f772,plain,
    ( unordered_pair(sK3,sK4) = unordered_pair(sK3,sK6)
    | singleton(sK3) = unordered_pair(sK3,sK6)
    | ~ spl7_1 ),
    inference(resolution,[],[f715,f58]) ).

fof(f778,plain,
    ( unordered_pair(sK3,sK4) = unordered_pair(sK3,sK6)
    | ~ spl7_1
    | spl7_2 ),
    inference(forward_subsumption_resolution,[],[f772,f310]) ).

fof(f801,plain,
    ( member(sK6,unordered_pair(sK3,sK4))
    | ~ spl7_1
    | spl7_2 ),
    inference(superposition,[],[f71,f778]) ).

fof(f824,plain,
    ( sK4 = sK6
    | sK3 = sK6
    | ~ spl7_1
    | spl7_2 ),
    inference(resolution,[],[f801,f58]) ).

fof(f830,plain,
    ( sK3 = sK6
    | ~ spl7_1
    | spl7_2 ),
    inference(forward_subsumption_resolution,[],[f824,f68]) ).

fof(f850,plain,
    ( sK3 != sK4
    | ~ spl7_1
    | spl7_2 ),
    inference(superposition,[],[f68,f830]) ).

fof(f859,plain,
    ( unordered_pair(sK3,sK4) = unordered_pair(sK3,sK3)
    | ~ spl7_1
    | spl7_2 ),
    inference(superposition,[],[f778,f830]) ).

fof(f929,plain,
    ( member(sK4,unordered_pair(sK3,sK3))
    | ~ spl7_1
    | spl7_2 ),
    inference(superposition,[],[f71,f859]) ).

fof(f962,plain,
    ( sK3 = sK4
    | sK3 = sK4
    | ~ spl7_1
    | spl7_2 ),
    inference(resolution,[],[f929,f58]) ).

fof(f968,plain,
    ( sK3 = sK4
    | ~ spl7_1
    | spl7_2 ),
    inference(duplicate_literal_removal,[],[f962]) ).

fof(f969,plain,
    ( $false
    | ~ spl7_1
    | spl7_2 ),
    inference(forward_subsumption_resolution,[],[f968,f850]) ).

fof(f970,plain,
    ( ~ spl7_1
    | spl7_2 ),
    inference(avatar_contradiction_clause,[],[f969]) ).

fof(f971,plain,
    ( singleton(sK3) = unordered_pair(sK3,sK6)
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(forward_demodulation,[],[f174,f296]) ).

fof(f974,definition,
    ( spl7_4
  <=> singleton(sK3) = unordered_pair(sK3,sK6) ),
    introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).

fof(f976,plain,
    ( singleton(sK3) = unordered_pair(sK3,sK6)
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f983,plain,
    ( spl7_4
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f971,f172,f168,f974]) ).

fof(f1073,plain,
    ( singleton(sK3) = unordered_pair(sK3,sK3)
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(forward_demodulation,[],[f976,f195]) ).

fof(f1287,plain,
    ( member(unordered_pair(sK3,sK4),unordered_pair(singleton(sK3),unordered_pair(sK3,sK3)))
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(forward_demodulation,[],[f752,f195]) ).

fof(f1288,plain,
    ( member(unordered_pair(sK3,sK4),unordered_pair(singleton(sK3),singleton(sK3)))
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(forward_demodulation,[],[f1287,f1073]) ).

fof(f1328,plain,
    ( singleton(sK3) = unordered_pair(sK3,sK4)
    | singleton(sK3) = unordered_pair(sK3,sK4)
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(resolution,[],[f1288,f58]) ).

fof(f1336,plain,
    ( singleton(sK3) = unordered_pair(sK3,sK4)
    | ~ spl7_1
    | ~ spl7_2
    | ~ spl7_4 ),
    inference(duplicate_literal_removal,[],[f1328]) ).

fof(f1337,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_2
    | spl7_3
    | ~ spl7_4 ),
    inference(forward_subsumption_resolution,[],[f1336,f708]) ).

fof(f1338,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | spl7_3
    | ~ spl7_4 ),
    inference(avatar_contradiction_clause,[],[f1337]) ).

cnf(s1,plain,
    ( spl7_1
    | spl7_2 ),
    inference(sat_conversion,[],[f175]) ).

cnf(s2,plain,
    ( spl7_1
    | spl7_3 ),
    inference(sat_conversion,[],[f180]) ).

cnf(s3,plain,
    ( ~ spl7_2
    | ~ spl7_3 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s5,plain,
    ( ~ spl7_1
    | spl7_2 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s7,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | spl7_4 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s8,plain,
    ( ~ spl7_1
    | ~ spl7_2
    | spl7_3
    | ~ spl7_4 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s9,plain,
    spl7_1,
    inference(rat,[],[s3,s1,s2]) ).

cnf(s10,plain,
    spl7_2,
    inference(rat,[],[s5,s9]) ).

cnf(s11,plain,
    spl7_4,
    inference(rat,[],[s7,s9,s10]) ).

cnf(s12,plain,
    ~ spl7_3,
    inference(rat,[],[s3,s10]) ).

cnf(s13,plain,
    $false,
    inference(rat,[],[s8,s11,s9,s10,s12]) ).

fof(f1339,plain,
    $false,
    inference(avatar_sat_refutation,[],[s13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET018+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n006.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
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 00:08:26 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  Running first-order model finding
% 0.10/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.49  % (3471389)Will run a generic schedule for satisfiability detection.
% 0.15/0.49  % (3471395)% WARNING: option uhcvi not known.
% 0.15/0.49  % (3471395)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3301408627:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.49  % (3471394)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2386120677_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.49  % (3471396)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3647363796:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.49  % (3471397)dis+10_1_sil=32000:sp=arity:random_seed=1979086895:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.49  % (3471398)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3458614173:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.49  % (3471400)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=675878365:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.49  % (3471399)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1540094182:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.49  % TRYING [1]
% 0.15/0.49  % TRYING [2]
% 0.15/0.49  % TRYING [3]
% 0.15/0.49  % TRYING [4]
% 0.15/0.49  % TRYING [5]
% 0.15/0.49  % TRYING [6]
% 0.15/0.49  % (3471397) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3471389-3471397"...
% 0.15/0.49  % (3471397)...printing done.
% 0.15/0.49  % (3471397)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Theorem for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (3471397)------------------------------
% 0.15/0.49  % (3471397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.49  % (3471397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.49  % (3471397)CaDiCaL version: 2.1.3
% 0.15/0.49  % (3471397)Termination reason: Refutation
% 0.15/0.49  % (3471397)Time elapsed: 0.034 s
% 0.15/0.49  % (3471397)Peak memory usage: 13 MB
% 0.15/0.49  % (3471397)Instructions burned: 54 (million)
% 0.15/0.49  % (3471389)Success in time 0.085 s
% 0.15/0.49  % Vampire exiting
%------------------------------------------------------------------------------