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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU341+2 : 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 : n011.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 12:52:56 PM UTC 2026

% Result   : Theorem 8.81s 1.97s
% Output   : Refutation 8.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   56 (  17 unt;   2 def)
%            Number of atoms       :  215 (  13 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  236 (  77   ~; 109   |;  27   &)
%                                         (   5 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   76 (   0 sgn  70   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & topological_space(X0)
        & top_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,powerset(the_carrier(X0)))
             => ( point_neighbourhood(X2,X0,X1)
              <=> in(X1,interior(X0,X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_connsp_2) ).

fof(f517,axiom,
    ! [X0,X1,X2] :
      ( ( in(X0,X1)
        & element(X1,powerset(X2)) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).

fof(f528,axiom,
    ! [X0] :
      ( ( topological_space(X0)
        & top_str(X0) )
     => ! [X1] :
          ( top_str(X1)
         => ! [X2] :
              ( element(X2,powerset(the_carrier(X0)))
             => ! [X3] :
                  ( element(X3,powerset(the_carrier(X1)))
                 => ( ( open_subset(X3,X1)
                     => interior(X1,X3) = X3 )
                    & ( interior(X0,X2) = X2
                     => open_subset(X2,X0) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_tops_1) ).

fof(f531,conjecture,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & topological_space(X0)
        & top_str(X0) )
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( ( open_subset(X1,X0)
                  & in(X2,X1) )
               => point_neighbourhood(X1,X0,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_connsp_2) ).

fof(f532,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ empty_carrier(X0)
          & topological_space(X0)
          & top_str(X0) )
       => ! [X1] :
            ( element(X1,powerset(the_carrier(X0)))
           => ! [X2] :
                ( element(X2,the_carrier(X0))
               => ( ( open_subset(X1,X0)
                    & in(X2,X1) )
                 => point_neighbourhood(X1,X0,X2) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f531]) ).

fof(f688,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( point_neighbourhood(X2,X0,X1)
              <=> in(X1,interior(X0,X2)) )
              | ~ element(X2,powerset(the_carrier(X0))) )
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ topological_space(X0)
      | ~ top_str(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f689,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( point_neighbourhood(X2,X0,X1)
              <=> in(X1,interior(X0,X2)) )
              | ~ element(X2,powerset(the_carrier(X0))) )
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ topological_space(X0)
      | ~ top_str(X0) ),
    inference(flattening,[],[f688]) ).

fof(f1184,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ in(X0,X1)
      | ~ element(X1,powerset(X2)) ),
    inference(ennf_transformation,[],[f517]) ).

fof(f1185,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ in(X0,X1)
      | ~ element(X1,powerset(X2)) ),
    inference(flattening,[],[f1184]) ).

fof(f1204,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( interior(X1,X3) = X3
                      | ~ open_subset(X3,X1) )
                    & ( open_subset(X2,X0)
                      | interior(X0,X2) != X2 ) )
                  | ~ element(X3,powerset(the_carrier(X1))) )
              | ~ element(X2,powerset(the_carrier(X0))) )
          | ~ top_str(X1) )
      | ~ topological_space(X0)
      | ~ top_str(X0) ),
    inference(ennf_transformation,[],[f528]) ).

fof(f1205,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( interior(X1,X3) = X3
                      | ~ open_subset(X3,X1) )
                    & ( open_subset(X2,X0)
                      | interior(X0,X2) != X2 ) )
                  | ~ element(X3,powerset(the_carrier(X1))) )
              | ~ element(X2,powerset(the_carrier(X0))) )
          | ~ top_str(X1) )
      | ~ topological_space(X0)
      | ~ top_str(X0) ),
    inference(flattening,[],[f1204]) ).

fof(f1210,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ point_neighbourhood(X1,X0,X2)
              & open_subset(X1,X0)
              & in(X2,X1)
              & element(X2,the_carrier(X0)) )
          & element(X1,powerset(the_carrier(X0))) )
      & ~ empty_carrier(X0)
      & topological_space(X0)
      & top_str(X0) ),
    inference(ennf_transformation,[],[f532]) ).

fof(f1211,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ~ point_neighbourhood(X1,X0,X2)
              & open_subset(X1,X0)
              & in(X2,X1)
              & element(X2,the_carrier(X0)) )
          & element(X1,powerset(the_carrier(X0))) )
      & ~ empty_carrier(X0)
      & topological_space(X0)
      & top_str(X0) ),
    inference(flattening,[],[f1210]) ).

fof(f1378,plain,
    ! [X2,X0,X1] :
      ( ~ top_str(X0)
      | ~ topological_space(X0)
      | empty_carrier(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,powerset(the_carrier(X0)))
      | ~ in(X1,interior(X0,X2))
      | point_neighbourhood(X2,X0,X1) ),
    inference(cnf_transformation,[],[f689]) ).

fof(f3081,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ in(X0,X1)
      | element(X0,X2) ),
    inference(cnf_transformation,[],[f1185]) ).

fof(f3108,plain,
    ! [X2,X3,X0,X1] :
      ( ~ top_str(X0)
      | ~ topological_space(X0)
      | ~ top_str(X1)
      | ~ element(X2,powerset(the_carrier(X0)))
      | ~ element(X3,powerset(the_carrier(X1)))
      | ~ open_subset(X3,X1)
      | interior(X1,X3) = X3 ),
    inference(cnf_transformation,[],[f1205]) ).

fof(f3114,plain,
    in(sK453,sK452),
    inference(cnf_transformation,[],[f1211]) ).

fof(f3115,plain,
    open_subset(sK452,sK451),
    inference(cnf_transformation,[],[f1211]) ).

fof(f3116,plain,
    ~ point_neighbourhood(sK452,sK451,sK453),
    inference(cnf_transformation,[],[f1211]) ).

fof(f3117,plain,
    element(sK452,powerset(the_carrier(sK451))),
    inference(cnf_transformation,[],[f1211]) ).

fof(f3118,plain,
    top_str(sK451),
    inference(cnf_transformation,[],[f1211]) ).

fof(f3119,plain,
    topological_space(sK451),
    inference(cnf_transformation,[],[f1211]) ).

fof(f3120,plain,
    ~ empty_carrier(sK451),
    inference(cnf_transformation,[],[f1211]) ).

fof(f4068,plain,
    ! [X2,X0,X1] :
      ( element(X2,powerset(the_carrier(X0)))
      | in(X1,interior(X0,X2))
      | empty_carrier(X0)
      | element(X1,the_carrier(X0))
      | top_str(X0)
      | topological_space(X0)
      | point_neighbourhood(X2,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f1378]) ).

fof(f5545,plain,
    ! [X2,X0,X1] :
      ( ~ element(X0,X2)
      | in(X0,X1)
      | element(X1,powerset(X2)) ),
    inference(consistent_polarity_flipping,[],[f3081]) ).

fof(f5573,plain,
    ! [X2,X3,X0,X1] :
      ( top_str(X0)
      | topological_space(X0)
      | top_str(X1)
      | element(X2,powerset(the_carrier(X0)))
      | element(X3,powerset(the_carrier(X1)))
      | ~ open_subset(X3,X1)
      | interior(X1,X3) = X3 ),
    inference(consistent_polarity_flipping,[],[f3108]) ).

fof(f5577,plain,
    ~ topological_space(sK451),
    inference(consistent_polarity_flipping,[],[f3119]) ).

fof(f5578,plain,
    ~ top_str(sK451),
    inference(consistent_polarity_flipping,[],[f3118]) ).

fof(f5579,plain,
    ~ element(sK452,powerset(the_carrier(sK451))),
    inference(consistent_polarity_flipping,[],[f3117]) ).

fof(f5580,plain,
    ~ in(sK453,sK452),
    inference(consistent_polarity_flipping,[],[f3114]) ).

fof(f5634,definition,
    ( spl458_1
  <=> ! [X1,X3] :
        ( top_str(X1)
        | interior(X1,X3) = X3
        | ~ open_subset(X3,X1)
        | element(X3,powerset(the_carrier(X1))) ) ),
    introduced(definition,[new_symbols(definition,[spl458_1])],[avatar_definition]) ).

fof(f5635,plain,
    ( ! [X3,X1] :
        ( ~ open_subset(X3,X1)
        | interior(X1,X3) = X3
        | top_str(X1)
        | element(X3,powerset(the_carrier(X1))) )
    | ~ spl458_1 ),
    inference(avatar_component_clause,[],[f5634]) ).

fof(f5637,definition,
    ( spl458_2
  <=> ! [X2,X0] :
        ( top_str(X0)
        | element(X2,powerset(the_carrier(X0)))
        | topological_space(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl458_2])],[avatar_definition]) ).

fof(f5638,plain,
    ( ! [X2,X0] :
        ( element(X2,powerset(the_carrier(X0)))
        | top_str(X0)
        | topological_space(X0) )
    | ~ spl458_2 ),
    inference(avatar_component_clause,[],[f5637]) ).

fof(f5639,plain,
    ( spl458_1
    | spl458_2 ),
    inference(avatar_split_clause,[],[f5573,f5637,f5634]) ).

fof(f8602,plain,
    ( top_str(sK451)
    | topological_space(sK451)
    | ~ spl458_2 ),
    inference(resolution,[],[f5638,f5579]) ).

fof(f8603,plain,
    ( topological_space(sK451)
    | ~ spl458_2 ),
    inference(forward_subsumption_resolution,[],[f8602,f5578]) ).

fof(f8604,plain,
    ( $false
    | ~ spl458_2 ),
    inference(forward_subsumption_resolution,[],[f8603,f5577]) ).

fof(f8605,plain,
    ~ spl458_2,
    inference(avatar_contradiction_clause,[],[f8604]) ).

fof(f16049,plain,
    ( sK452 = interior(sK451,sK452)
    | top_str(sK451)
    | element(sK452,powerset(the_carrier(sK451)))
    | ~ spl458_1 ),
    inference(resolution,[],[f5635,f3115]) ).

fof(f16053,plain,
    ( sK452 = interior(sK451,sK452)
    | element(sK452,powerset(the_carrier(sK451)))
    | ~ spl458_1 ),
    inference(forward_subsumption_resolution,[],[f16049,f5578]) ).

fof(f16057,plain,
    ( sK452 = interior(sK451,sK452)
    | ~ spl458_1 ),
    inference(forward_subsumption_resolution,[],[f16053,f5579]) ).

fof(f31264,plain,
    ( ! [X0] :
        ( in(X0,sK452)
        | element(sK452,powerset(the_carrier(sK451)))
        | empty_carrier(sK451)
        | element(X0,the_carrier(sK451))
        | top_str(sK451)
        | topological_space(sK451)
        | point_neighbourhood(sK452,sK451,X0) )
    | ~ spl458_1 ),
    inference(superposition,[],[f4068,f16057]) ).

fof(f31275,plain,
    ( ! [X0] :
        ( in(X0,sK452)
        | element(sK452,powerset(the_carrier(sK451)))
        | empty_carrier(sK451)
        | top_str(sK451)
        | topological_space(sK451)
        | point_neighbourhood(sK452,sK451,X0) )
    | ~ spl458_1 ),
    inference(forward_subsumption_resolution,[],[f31264,f5545]) ).

fof(f31280,plain,
    ( ! [X0] :
        ( in(X0,sK452)
        | empty_carrier(sK451)
        | top_str(sK451)
        | topological_space(sK451)
        | point_neighbourhood(sK452,sK451,X0) )
    | ~ spl458_1 ),
    inference(forward_subsumption_resolution,[],[f31275,f5579]) ).

fof(f31285,plain,
    ( ! [X0] :
        ( in(X0,sK452)
        | top_str(sK451)
        | topological_space(sK451)
        | point_neighbourhood(sK452,sK451,X0) )
    | ~ spl458_1 ),
    inference(forward_subsumption_resolution,[],[f31280,f3120]) ).

fof(f31288,plain,
    ( ! [X0] :
        ( in(X0,sK452)
        | topological_space(sK451)
        | point_neighbourhood(sK452,sK451,X0) )
    | ~ spl458_1 ),
    inference(forward_subsumption_resolution,[],[f31285,f5578]) ).

fof(f31290,plain,
    ( ! [X0] :
        ( point_neighbourhood(sK452,sK451,X0)
        | in(X0,sK452) )
    | ~ spl458_1 ),
    inference(forward_subsumption_resolution,[],[f31288,f5577]) ).

fof(f41638,plain,
    ( in(sK453,sK452)
    | ~ spl458_1 ),
    inference(resolution,[],[f31290,f3116]) ).

fof(f41642,plain,
    ( $false
    | ~ spl458_1 ),
    inference(forward_subsumption_resolution,[],[f41638,f5580]) ).

fof(f41643,plain,
    ~ spl458_1,
    inference(avatar_contradiction_clause,[],[f41642]) ).

cnf(s1,plain,
    ( spl458_1
    | spl458_2 ),
    inference(sat_conversion,[],[f5639]) ).

cnf(s178,plain,
    ~ spl458_2,
    inference(sat_conversion,[],[f8605]) ).

cnf(s1202,plain,
    ~ spl458_1,
    inference(sat_conversion,[],[f41643]) ).

cnf(s1223,plain,
    $false,
    inference(rat,[],[s1,s178,s1202]) ).

fof(f41647,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1223]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU341+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36  % Computer : n011.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 28 04:48:45 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.39  Running first-order model finding
% 0.08/0.39  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
% 8.81/1.94  % (3023408)Will run a generic schedule for satisfiability detection.
% 8.81/1.94  % (3023417)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2351884206:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.81/1.94  % (3023414)% WARNING: option uhcvi not known.
% 8.81/1.94  % (3023413)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1338623374_2999 on theBenchmark for (2999ds/0Mi)
% 8.81/1.94  % (3023414)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3978944205:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.81/1.94  % (3023415)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=940898771:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.81/1.94  % (3023416)dis+10_1_sil=32000:sp=arity:random_seed=3718526359:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.81/1.94  % (3023418)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2383446009:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.81/1.94  % (3023419)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=827195148:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.81/1.94  % (3023417)Instruction limit reached! 
% 8.81/1.94  % (3023417)------------------------------
% 8.81/1.94  % (3023417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.94  % (3023417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.94  % (3023417)CaDiCaL version: 2.1.3
% 8.81/1.94  % (3023417)Termination reason: Instruction limit
% 8.81/1.94  % (3023417)Termination phase: Blocked clause elimination
% 8.81/1.94  % (3023417)Time elapsed: 0.032 s
% 8.81/1.94  % (3023417)Peak memory usage: 13 MB
% 8.81/1.94  % (3023417)Instructions burned: 116 (million)
% 8.81/1.94  % (3023427)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2954284938:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.81/1.94  % (3023416)Instruction limit reached! 
% 8.81/1.94  % (3023416)------------------------------
% 8.81/1.94  % (3023416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.94  % (3023416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.94  % (3023416)CaDiCaL version: 2.1.3
% 8.81/1.94  % (3023416)Termination reason: Instruction limit
% 8.81/1.94  % (3023416)Termination phase: Saturation
% 8.81/1.94  % (3023416)Time elapsed: 0.060 s
% 8.81/1.94  % (3023416)Peak memory usage: 14 MB
% 8.81/1.94  % (3023416)Instructions burned: 104 (million)
% 8.81/1.94  % (3023418)Instruction limit reached! 
% 8.81/1.94  % (3023418)------------------------------
% 8.81/1.94  % (3023418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.94  % (3023418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.94  % (3023418)CaDiCaL version: 2.1.3
% 8.81/1.94  % (3023418)Termination reason: Instruction limit
% 8.81/1.94  % (3023418)Termination phase: Saturation
% 8.81/1.94  % (3023418)Time elapsed: 0.075 s
% 8.81/1.94  % (3023418)Peak memory usage: 15 MB
% 8.81/1.94  % (3023418)Instructions burned: 131 (million)
% 8.81/1.94  % (3023429)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=541268155:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.81/1.94  % (3023419)Instruction limit reached! 
% 8.81/1.94  % (3023419)------------------------------
% 8.81/1.94  % (3023419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.94  % (3023419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.94  % (3023419)CaDiCaL version: 2.1.3
% 8.81/1.94  % (3023419)Termination reason: Instruction limit
% 8.81/1.94  % (3023419)Termination phase: Saturation
% 8.81/1.94  % (3023419)Time elapsed: 0.095 s
% 8.81/1.94  % (3023419)Peak memory usage: 16 MB
% 8.81/1.94  % (3023419)Instructions burned: 159 (million)
% 8.81/1.94  % (3023430)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3519489920:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.81/1.94  % (3023433)ott-21_1_sil=16000:fs=off:random_seed=632472812:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.81/1.94  % TRYING [1]
% 8.81/1.94  % TRYING [2]
% 8.81/1.94  % (3023429)Instruction limit reached! 
% 8.81/1.94  % (3023429)------------------------------
% 8.81/1.94  % (3023429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.94  % (3023429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023429)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023429)Termination reason: Instruction limit
% 8.81/1.97  % (3023429)Termination phase: Saturation
% 8.81/1.97  % (3023429)Time elapsed: 0.072 s
% 8.81/1.97  % (3023429)Peak memory usage: 15 MB
% 8.81/1.97  % (3023429)Instructions burned: 132 (million)
% 8.81/1.97  % TRYING [3]
% 8.81/1.97  % (3023435)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4288845141:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.81/1.97  % (3023427)Instruction limit reached! 
% 8.81/1.97  % (3023427)------------------------------
% 8.81/1.97  % (3023427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023427)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023427)Termination reason: Instruction limit
% 8.81/1.97  % (3023427)Termination phase: Finite model building constraint generation
% 8.81/1.97  % (3023427)Time elapsed: 0.163 s
% 8.81/1.97  % (3023427)Peak memory usage: 30 MB
% 8.81/1.97  % (3023427)Instructions burned: 719 (million)
% 8.81/1.97  % TRYING [1]
% 8.81/1.97  % (3023437)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=914035931:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.81/1.97  % (3023433)Instruction limit reached! 
% 8.81/1.97  % (3023433)------------------------------
% 8.81/1.97  % (3023433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023433)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023433)Termination reason: Instruction limit
% 8.81/1.97  % (3023433)Termination phase: Saturation
% 8.81/1.97  % (3023433)Time elapsed: 0.098 s
% 8.81/1.97  % (3023433)Peak memory usage: 15 MB
% 8.81/1.97  % (3023433)Instructions burned: 182 (million)
% 8.81/1.97  % TRYING [2]
% 8.81/1.97  % (3023439)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=603128114:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.81/1.97  % TRYING [1]
% 8.81/1.97  % TRYING [3]
% 8.81/1.97  % TRYING [2]
% 8.81/1.97  % (3023437)Instruction limit reached! 
% 8.81/1.97  % (3023437)------------------------------
% 8.81/1.97  % (3023437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023437)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023437)Termination reason: Instruction limit
% 8.81/1.97  % (3023437)Termination phase: Finite model building SAT solving
% 8.81/1.97  % (3023437)Time elapsed: 0.231 s
% 8.81/1.97  % (3023437)Peak memory usage: 33 MB
% 8.81/1.97  % (3023437)Instructions burned: 865 (million)
% 8.81/1.97  % (3023441)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1092840862:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.81/1.97  % (3023430)Instruction limit reached! 
% 8.81/1.97  % (3023430)------------------------------
% 8.81/1.97  % (3023430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023430)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023430)Termination reason: Instruction limit
% 8.81/1.97  % (3023430)Termination phase: Saturation
% 8.81/1.97  % (3023430)Time elapsed: 0.385 s
% 8.81/1.97  % (3023430)Peak memory usage: 20 MB
% 8.81/1.97  % (3023430)Instructions burned: 685 (million)
% 8.81/1.97  % (3023435)Instruction limit reached! 
% 8.81/1.97  % (3023435)------------------------------
% 8.81/1.97  % (3023435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023435)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023435)Termination reason: Instruction limit
% 8.81/1.97  % (3023435)Termination phase: Saturation
% 8.81/1.97  % (3023435)Time elapsed: 0.319 s
% 8.81/1.97  % (3023435)Peak memory usage: 17 MB
% 8.81/1.97  % (3023435)Instructions burned: 477 (million)
% 8.81/1.97  % (3023443)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2689065721:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.81/1.97  % (3023444)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1882559205:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.81/1.97  % (3023441)Instruction limit reached! 
% 8.81/1.97  % (3023441)------------------------------
% 8.81/1.97  % (3023441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023441)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023441)Termination reason: Instruction limit
% 8.81/1.97  % (3023441)Termination phase: Finite model building constraint generation
% 8.81/1.97  % (3023441)Time elapsed: 0.243 s
% 8.81/1.97  % (3023441)Peak memory usage: 82 MB
% 8.81/1.97  % (3023441)Instructions burned: 894 (million)
% 8.81/1.97  % (3023447)fmb+10_1_sil=64000:random_seed=2514765467:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 8.81/1.97  % TRYING [1]
% 8.81/1.97  % TRYING [2]
% 8.81/1.97  % TRYING [4]
% 8.81/1.97  % (3023443)Instruction limit reached! 
% 8.81/1.97  % (3023443)------------------------------
% 8.81/1.97  % (3023443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023443)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023443)Termination reason: Instruction limit
% 8.81/1.97  % (3023443)Termination phase: Saturation
% 8.81/1.97  % (3023443)Time elapsed: 0.394 s
% 8.81/1.97  % (3023443)Peak memory usage: 22 MB
% 8.81/1.97  % (3023443)Instructions burned: 693 (million)
% 8.81/1.97  % (3023449)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1487937456:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.81/1.97  % TRYING [3]
% 8.81/1.97  % (3023444)Instruction limit reached! 
% 8.81/1.97  % (3023444)------------------------------
% 8.81/1.97  % (3023444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023444)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023444)Termination reason: Instruction limit
% 8.81/1.97  % (3023444)Termination phase: Saturation
% 8.81/1.97  % (3023444)Time elapsed: 0.418 s
% 8.81/1.97  % (3023444)Peak memory usage: 22 MB
% 8.81/1.97  % (3023444)Instructions burned: 880 (million)
% 8.81/1.97  % (3023451)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=888405948:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.81/1.97  % (3023439)Instruction limit reached! 
% 8.81/1.97  % (3023439)------------------------------
% 8.81/1.97  % (3023439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023439)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023439)Termination reason: Instruction limit
% 8.81/1.97  % (3023439)Termination phase: Saturation
% 8.81/1.97  % (3023439)Time elapsed: 0.748 s
% 8.81/1.97  % (3023439)Peak memory usage: 30 MB
% 8.81/1.97  % (3023439)Instructions burned: 1179 (million)
% 8.81/1.97  % (3023453)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2619247661:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.81/1.97  % (3023449)Cannot represent all propositional literals internally
% 8.81/1.97  % (3023449)Refutation not found, incomplete strategy
% 8.81/1.97  % (3023449)------------------------------
% 8.81/1.97  % (3023449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023449)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023449)Termination reason: Refutation not found, incomplete strategy
% 8.81/1.97  % (3023449)Time elapsed: 0.176 s
% 8.81/1.97  % (3023449)Peak memory usage: 18 MB
% 8.81/1.97  % (3023449)Instructions burned: 356 (million)
% 8.81/1.97  % (3023449)------------------------------
% 8.81/1.97  % (3023449)------------------------------
% 8.81/1.97  % (3023455)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1921390094:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 8.81/1.97  % TRYING [8]
% 8.81/1.97  % (3023451)Instruction limit reached! 
% 8.81/1.97  % (3023451)------------------------------
% 8.81/1.97  % (3023451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023451)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023451)Termination reason: Instruction limit
% 8.81/1.97  % (3023451)Termination phase: Finite model building constraint generation
% 8.81/1.97  % (3023451)Time elapsed: 0.373 s
% 8.81/1.97  % (3023451)Peak memory usage: 52 MB
% 8.81/1.97  % (3023451)Instructions burned: 921 (million)
% 8.81/1.97  % (3023457)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4277167942:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 8.81/1.97  % (3023414) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3023408-3023414"...
% 8.81/1.97  % (3023414)...printing done.
% 8.81/1.97  % (3023414)Refutation found. Thanks to Tanya!
% 8.81/1.97  % SZS status Theorem for theBenchmark
% 8.81/1.97  % SZS output start Proof for theBenchmark
% See solution above
% 8.81/1.97  % (3023414)------------------------------
% 8.81/1.97  % (3023414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.81/1.97  % (3023414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/1.97  % (3023414)CaDiCaL version: 2.1.3
% 8.81/1.97  % (3023414)Termination reason: Refutation
% 8.81/1.97  % (3023414)Time elapsed: 1.482 s
% 8.81/1.97  % (3023414)Peak memory usage: 34 MB
% 8.81/1.97  % (3023414)Instructions burned: 2410 (million)
% 8.81/1.97  % (3023408)Success in time 1.565 s
% 8.81/1.97  % Vampire exiting
%------------------------------------------------------------------------------