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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN415+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 01:50:32 PM UTC 2026

% Result   : Theorem 3.10s 1.09s
% Output   : Refutation 3.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   86 (   8 unt;  12 def)
%            Number of atoms       :  287 (  41 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  337 ( 136   ~; 143   |;  37   &)
%                                         (  14 <=>;   4  =>;   0  <=;   3 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  13 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   80 (   0 sgn  57   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ? [X0] : f(X0)
      & ! [X1,X2] :
          ( ( f(X1)
            & f(X2) )
         => X1 = X2 ) )
  <=> ? [X3] :
        ( f(X3)
        & ! [X4] :
            ( f(X4)
           => X3 = X4 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish317) ).

fof(f2,negated_conjecture,
    ~ ( ( ? [X0] : f(X0)
        & ! [X1,X2] :
            ( ( f(X1)
              & f(X2) )
           => X1 = X2 ) )
    <=> ? [X3] :
          ( f(X3)
          & ! [X4] :
              ( f(X4)
             => X3 = X4 ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ? [X0] : f(X0)
      & ! [X1,X2] :
          ( X1 = X2
          | ~ f(X1)
          | ~ f(X2) ) )
  <~> ? [X3] :
        ( f(X3)
        & ! [X4] :
            ( X3 = X4
            | ~ f(X4) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( ( ? [X0] : f(X0)
      & ! [X1,X2] :
          ( X1 = X2
          | ~ f(X1)
          | ~ f(X2) ) )
  <~> ? [X3] :
        ( f(X3)
        & ! [X4] :
            ( X3 = X4
            | ~ f(X4) ) ) ),
    inference(flattening,[],[f3]) ).

fof(f5,definition,
    ( sP0
  <=> ( ? [X0] : f(X0)
      & ! [X1,X2] :
          ( X1 = X2
          | ~ f(X1)
          | ~ f(X2) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f6,plain,
    ( sP0
  <~> ? [X3] :
        ( f(X3)
        & ! [X4] :
            ( X3 = X4
            | ~ f(X4) ) ) ),
    inference(definition_folding,[],[f4,f5]) ).

fof(f7,plain,
    ( ( sP0
      | ! [X0] : ~ f(X0)
      | ? [X1,X2] :
          ( X1 != X2
          & f(X1)
          & f(X2) ) )
    & ( ( ? [X0] : f(X0)
        & ! [X1,X2] :
            ( X1 = X2
            | ~ f(X1)
            | ~ f(X2) ) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( ( sP0
      | ! [X0] : ~ f(X0)
      | ? [X1,X2] :
          ( X1 != X2
          & f(X1)
          & f(X2) ) )
    & ( ( ? [X0] : f(X0)
        & ! [X1,X2] :
            ( X1 = X2
            | ~ f(X1)
            | ~ f(X2) ) )
      | ~ sP0 ) ),
    inference(flattening,[],[f7]) ).

fof(f9,plain,
    ( ( sP0
      | ! [X0] : ~ f(X0)
      | ? [X1,X2] :
          ( X1 != X2
          & f(X1)
          & f(X2) ) )
    & ( ( ? [X3] : f(X3)
        & ! [X4,X5] :
            ( X4 = X5
            | ~ f(X4)
            | ~ f(X5) ) )
      | ~ sP0 ) ),
    inference(rectify,[],[f8]) ).

fof(f10,plain,
    ( ( sP0
      | ! [X0] : ~ f(X0)
      | ( sK1 != sK2
        & f(sK1)
        & f(sK2) ) )
    & ( ( f(sK3)
        & ! [X4,X5] :
            ( X4 = X5
            | ~ f(X4)
            | ~ f(X5) ) )
      | ~ sP0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f9]) ).

fof(f11,plain,
    ( ( ! [X3] :
          ( ~ f(X3)
          | ? [X4] :
              ( X3 != X4
              & f(X4) ) )
      | ~ sP0 )
    & ( ? [X3] :
          ( f(X3)
          & ! [X4] :
              ( X3 = X4
              | ~ f(X4) ) )
      | sP0 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( ( ! [X0] :
          ( ~ f(X0)
          | ? [X1] :
              ( X0 != X1
              & f(X1) ) )
      | ~ sP0 )
    & ( ? [X2] :
          ( f(X2)
          & ! [X3] :
              ( X2 = X3
              | ~ f(X3) ) )
      | sP0 ) ),
    inference(rectify,[],[f11]) ).

fof(f13,plain,
    ( ( ! [X0] :
          ( ~ f(X0)
          | ( sK4(X0) != X0
            & f(sK4(X0)) ) )
      | ~ sP0 )
    & ( ( f(sK5)
        & ! [X3] :
            ( sK5 = X3
            | ~ f(X3) ) )
      | sP0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X1,sK4(X0)),skolemize(X2,sK5)],[f12]) ).

fof(f14,plain,
    ! [X4,X5] :
      ( X4 = X5
      | ~ f(X4)
      | ~ f(X5)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f15,plain,
    ( f(sK3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f16,plain,
    ! [X0] :
      ( sP0
      | ~ f(X0)
      | f(sK2) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f17,plain,
    ! [X0] :
      ( sP0
      | ~ f(X0)
      | f(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f18,plain,
    ! [X0] :
      ( sP0
      | ~ f(X0)
      | sK1 != sK2 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f19,plain,
    ! [X3] :
      ( sK5 = X3
      | ~ f(X3)
      | sP0 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f20,plain,
    ( f(sK5)
    | sP0 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ f(X0)
      | f(sK4(X0))
      | ~ sP0 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ f(X0)
      | sK4(X0) != X0
      | ~ sP0 ),
    inference(cnf_transformation,[],[f13]) ).

fof(f24,definition,
    ( spl6_1
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

fof(f28,definition,
    ( spl6_2
  <=> ! [X3] :
        ( sK5 = X3
        | ~ f(X3) ) ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

fof(f29,plain,
    ( ! [X3] :
        ( ~ f(X3)
        | sK5 = X3 )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f30,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f19,f28,f24]) ).

fof(f32,definition,
    ( spl6_3
  <=> f(sK5) ),
    introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).

fof(f34,plain,
    ( f(sK5)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f35,plain,
    ( spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f20,f32,f24]) ).

fof(f37,definition,
    ( spl6_4
  <=> ! [X0] :
        ( ~ f(X0)
        | f(sK4(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).

fof(f38,plain,
    ( ! [X0] :
        ( f(sK4(X0))
        | ~ f(X0) )
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f39,plain,
    ( ~ spl6_1
    | spl6_4 ),
    inference(avatar_split_clause,[],[f21,f37,f24]) ).

fof(f41,definition,
    ( spl6_5
  <=> ! [X0] :
        ( ~ f(X0)
        | sK4(X0) != X0 ) ),
    introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).

fof(f42,plain,
    ( ! [X0] :
        ( sK4(X0) != X0
        | ~ f(X0) )
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f43,plain,
    ( ~ spl6_1
    | spl6_5 ),
    inference(avatar_split_clause,[],[f22,f41,f24]) ).

fof(f45,definition,
    ( spl6_6
  <=> ! [X4,X5] :
        ( X4 = X5
        | ~ f(X5)
        | ~ f(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).

fof(f46,plain,
    ( ! [X4,X5] :
        ( ~ f(X5)
        | X4 = X5
        | ~ f(X4) )
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f47,plain,
    ( ~ spl6_1
    | spl6_6 ),
    inference(avatar_split_clause,[],[f14,f45,f24]) ).

fof(f49,definition,
    ( spl6_7
  <=> f(sK3) ),
    introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).

fof(f51,plain,
    ( f(sK3)
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f52,plain,
    ( ~ spl6_1
    | spl6_7 ),
    inference(avatar_split_clause,[],[f15,f49,f24]) ).

fof(f54,definition,
    ( spl6_8
  <=> f(sK2) ),
    introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).

fof(f56,plain,
    ( f(sK2)
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f58,definition,
    ( spl6_9
  <=> ! [X0] : ~ f(X0) ),
    introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).

fof(f59,plain,
    ( ! [X0] : ~ f(X0)
    | ~ spl6_9 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f60,plain,
    ( spl6_8
    | spl6_9
    | spl6_1 ),
    inference(avatar_split_clause,[],[f16,f24,f58,f54]) ).

fof(f62,definition,
    ( spl6_10
  <=> f(sK1) ),
    introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).

fof(f64,plain,
    ( f(sK1)
    | ~ spl6_10 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f65,plain,
    ( spl6_10
    | spl6_9
    | spl6_1 ),
    inference(avatar_split_clause,[],[f17,f24,f58,f62]) ).

fof(f67,definition,
    ( spl6_11
  <=> sK1 = sK2 ),
    introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).

fof(f69,plain,
    ( sK1 != sK2
    | spl6_11 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f70,plain,
    ( ~ spl6_11
    | spl6_9
    | spl6_1 ),
    inference(avatar_split_clause,[],[f18,f24,f58,f67]) ).

fof(f72,plain,
    ( $false
    | ~ spl6_3
    | ~ spl6_9 ),
    inference(resolution,[],[f59,f34]) ).

fof(f73,plain,
    ( ~ spl6_3
    | ~ spl6_9 ),
    inference(avatar_contradiction_clause,[],[f72]) ).

fof(f74,plain,
    ( sK2 = sK5
    | ~ spl6_2
    | ~ spl6_8 ),
    inference(resolution,[],[f56,f29]) ).

fof(f75,plain,
    ( sK1 = sK5
    | ~ spl6_2
    | ~ spl6_10 ),
    inference(resolution,[],[f64,f29]) ).

fof(f77,plain,
    ( sK1 = sK2
    | ~ spl6_2
    | ~ spl6_8
    | ~ spl6_10 ),
    inference(superposition,[],[f75,f74]) ).

fof(f82,plain,
    ( $false
    | ~ spl6_2
    | ~ spl6_8
    | ~ spl6_10
    | spl6_11 ),
    inference(forward_subsumption_resolution,[],[f77,f69]) ).

fof(f83,plain,
    ( ~ spl6_2
    | ~ spl6_8
    | ~ spl6_10
    | spl6_11 ),
    inference(avatar_contradiction_clause,[],[f82]) ).

fof(f101,plain,
    ( ! [X0,X1] :
        ( ~ f(X0)
        | sK4(X1) = X0
        | ~ f(X1) )
    | ~ spl6_4
    | ~ spl6_6 ),
    inference(resolution,[],[f46,f38]) ).

fof(f107,plain,
    ( ! [X0] :
        ( ~ f(X0)
        | sK4(X0) = X0 )
    | ~ spl6_4
    | ~ spl6_6 ),
    inference(factoring,[],[f101]) ).

fof(f108,plain,
    ( ! [X0] : ~ f(X0)
    | ~ spl6_4
    | ~ spl6_5
    | ~ spl6_6 ),
    inference(forward_subsumption_resolution,[],[f107,f42]) ).

fof(f109,plain,
    ( spl6_9
    | ~ spl6_4
    | ~ spl6_5
    | ~ spl6_6 ),
    inference(avatar_split_clause,[],[f108,f45,f41,f37,f58]) ).

fof(f112,plain,
    ( $false
    | ~ spl6_7
    | ~ spl6_9 ),
    inference(resolution,[],[f59,f51]) ).

fof(f114,plain,
    ( ~ spl6_7
    | ~ spl6_9 ),
    inference(avatar_contradiction_clause,[],[f112]) ).

cnf(s1,plain,
    ( spl6_1
    | spl6_2 ),
    inference(sat_conversion,[],[f30]) ).

cnf(s2,plain,
    ( spl6_1
    | spl6_3 ),
    inference(sat_conversion,[],[f35]) ).

cnf(s3,plain,
    ( ~ spl6_1
    | spl6_4 ),
    inference(sat_conversion,[],[f39]) ).

cnf(s4,plain,
    ( ~ spl6_1
    | spl6_5 ),
    inference(sat_conversion,[],[f43]) ).

cnf(s5,plain,
    ( ~ spl6_1
    | spl6_6 ),
    inference(sat_conversion,[],[f47]) ).

cnf(s6,plain,
    ( ~ spl6_1
    | spl6_7 ),
    inference(sat_conversion,[],[f52]) ).

cnf(s7,plain,
    ( spl6_1
    | spl6_8
    | spl6_9 ),
    inference(sat_conversion,[],[f60]) ).

cnf(s8,plain,
    ( spl6_1
    | spl6_9
    | spl6_10 ),
    inference(sat_conversion,[],[f65]) ).

cnf(s9,plain,
    ( spl6_1
    | spl6_9
    | ~ spl6_11 ),
    inference(sat_conversion,[],[f70]) ).

cnf(s10,plain,
    ( ~ spl6_3
    | ~ spl6_9 ),
    inference(sat_conversion,[],[f73]) ).

cnf(s12,plain,
    ( ~ spl6_2
    | ~ spl6_8
    | ~ spl6_10
    | spl6_11 ),
    inference(sat_conversion,[],[f83]) ).

cnf(s16,plain,
    ( ~ spl6_4
    | ~ spl6_5
    | ~ spl6_6
    | spl6_9 ),
    inference(sat_conversion,[],[f109]) ).

cnf(s17,plain,
    ( ~ spl6_7
    | ~ spl6_9 ),
    inference(sat_conversion,[],[f114]) ).

cnf(s18,plain,
    spl6_1,
    inference(rat,[],[s12,s7,s8,s9,s10,s1,s2]) ).

cnf(s19,plain,
    spl6_7,
    inference(rat,[],[s6,s18]) ).

cnf(s20,plain,
    spl6_6,
    inference(rat,[],[s5,s18]) ).

cnf(s21,plain,
    spl6_5,
    inference(rat,[],[s4,s18]) ).

cnf(s22,plain,
    spl6_4,
    inference(rat,[],[s3,s18]) ).

cnf(s23,plain,
    ~ spl6_9,
    inference(rat,[],[s17,s19]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s16,s23,s20,s21,s22]) ).

fof(f115,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN415+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n018.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 15:56:55 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/1.09  % (3505264)Detected formulas, will run a generic FOF schedule.
% 3.10/1.09  % (3505273)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4010372974:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.10/1.09  % (3505273)Refutation not found, incomplete strategy
% 3.10/1.09  % (3505273)------------------------------
% 3.10/1.09  % (3505273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.09  % (3505273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.09  % (3505273)CaDiCaL version: 2.1.3
% 3.10/1.09  % (3505273)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.09  % (3505273)Time elapsed: 0.001 s
% 3.10/1.09  % (3505273)Peak memory usage: 88 MB
% 3.10/1.09  % (3505270)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2297290288:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.10/1.09  % (3505269)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=2384908735:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.10/1.09  % (3505274)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3838870015:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.10/1.09  % (3505275)dis-21_1_sil=8000:lcm=predicate:random_seed=3487007649:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.10/1.09  % (3505271)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1067433021:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.10/1.09  % (3505272)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1306938051:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.10/1.09  % (3505275)Refutation not found, incomplete strategy
% 3.10/1.09  % (3505275)------------------------------
% 3.10/1.09  % (3505275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.09  % (3505275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.09  % (3505275)CaDiCaL version: 2.1.3
% 3.10/1.09  % (3505275)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.09  % (3505275)Time elapsed: 0.002 s
% 3.10/1.09  % (3505275)Peak memory usage: 88 MB
% 3.10/1.09  % (3505272)Refutation not found, incomplete strategy
% 3.10/1.09  % (3505272)------------------------------
% 3.10/1.09  % (3505272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.09  % (3505272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.09  % (3505272)CaDiCaL version: 2.1.3
% 3.10/1.09  % (3505272)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.09  % (3505272)Time elapsed: 0.002 s
% 3.10/1.09  % (3505272)Peak memory usage: 88 MB
% 3.10/1.09  % (3505274)First to succeed.
% 3.10/1.09  % (3505274)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3505264"
% 3.10/1.09  % (3505273)------------------------------
% 3.10/1.09  % (3505273)------------------------------
% 3.10/1.09  % (3505283)lrs+10_1_sil=8000:sp=occurrence:random_seed=1673474732:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.10/1.09  % (3505283)Also succeeded, but the first one will report.
% 3.10/1.09  % (3505272)------------------------------
% 3.10/1.09  % (3505272)------------------------------
% 3.10/1.09  % (3505275)------------------------------
% 3.10/1.09  % (3505275)------------------------------
% 3.10/1.09  % (3505274)Refutation found. Thanks to Tanya!
% 3.10/1.09  % SZS status Theorem for theBenchmark
% 3.10/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.29  % (3505274)------------------------------
% 3.67/1.29  % (3505274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.29  % (3505274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.29  % (3505274)CaDiCaL version: 2.1.3
% 3.67/1.29  % (3505274)Termination reason: Refutation
% 3.67/1.29  % (3505274)Time elapsed: 0.004 s
% 3.67/1.29  % (3505274)Peak memory usage: 89 MB
% 3.67/1.29  % (3505274)Instructions burned: 3 (million)
% 3.67/1.29  % (3505274)------------------------------
% 3.67/1.29  % (3505274)------------------------------
% 3.67/1.29  % (3505264)Success in time 0.43 s
% 3.67/1.29  % Vampire exiting
%------------------------------------------------------------------------------