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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU361+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 12:48:32 PM UTC 2026

% Result   : Theorem 2.73s 1.29s
% Output   : Refutation 3.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   58 (  12 unt;   1 def)
%            Number of atoms       :  246 (  14 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  305 ( 117   ~; 103   |;  56   &)
%                                         (   1 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   2 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   71 (   0 sgn  65   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( rel_str(X0)
     => bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( rel_str(X0)
     => element(join_on_relstr(X0,X1),the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).

fof(f22,axiom,
    ! [X0] :
      ( ( antisymmetric_relstr(X0)
        & rel_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( ( ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) )
               => ( relstr_set_smaller(X0,X2,X1)
                  & ! [X3] :
                      ( element(X3,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X3)
                       => related(X0,X1,X3) ) ) ) )
              & ( ( relstr_set_smaller(X0,X2,X1)
                  & ! [X3] :
                      ( element(X3,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X3)
                       => related(X0,X1,X3) ) ) )
               => ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_0) ).

fof(f23,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & antisymmetric_relstr(X0)
        & lower_bounded_relstr(X0)
        & rel_str(X0) )
     => ( ex_sup_of_relstr_set(X0,empty_set)
        & ex_inf_of_relstr_set(X0,the_carrier(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).

fof(f24,conjecture,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & antisymmetric_relstr(X0)
        & lower_bounded_relstr(X0)
        & rel_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => related(X0,bottom_of_relstr(X0),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_0) ).

fof(f25,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ empty_carrier(X0)
          & antisymmetric_relstr(X0)
          & lower_bounded_relstr(X0)
          & rel_str(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => related(X0,bottom_of_relstr(X0),X1) ) ),
    inference(negated_conjecture,[status(cth)],[f24]) ).

fof(f27,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ( relstr_set_smaller(X0,empty_set,X1)
            & relstr_element_smaller(X0,empty_set,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).

fof(f30,plain,
    ! [X0] :
      ( ( antisymmetric_relstr(X0)
        & rel_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( ( ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) )
               => ( relstr_set_smaller(X0,X2,X1)
                  & ! [X3] :
                      ( element(X3,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X3)
                       => related(X0,X1,X3) ) ) ) )
              & ( ( relstr_set_smaller(X0,X2,X1)
                  & ! [X4] :
                      ( element(X4,the_carrier(X0))
                     => ( relstr_set_smaller(X0,X2,X4)
                       => related(X0,X1,X4) ) ) )
               => ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) ) ) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f31,plain,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => relstr_set_smaller(X0,empty_set,X1) ) ),
    inference(pure_predicate_removal,[],[f27]) ).

fof(f32,plain,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & antisymmetric_relstr(X0)
        & lower_bounded_relstr(X0)
        & rel_str(X0) )
     => ex_sup_of_relstr_set(X0,empty_set) ),
    inference(pure_predicate_removal,[],[f23]) ).

fof(f36,plain,
    ! [X0] :
      ( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( element(join_on_relstr(X0,X1),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( relstr_set_smaller(X0,X2,X1)
                  & ! [X3] :
                      ( related(X0,X1,X3)
                      | ~ relstr_set_smaller(X0,X2,X3)
                      | ~ element(X3,the_carrier(X0)) ) )
                | join_on_relstr(X0,X2) != X1
                | ~ ex_sup_of_relstr_set(X0,X2) )
              & ( ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) )
                | ~ relstr_set_smaller(X0,X2,X1)
                | ? [X4] :
                    ( ~ related(X0,X1,X4)
                    & relstr_set_smaller(X0,X2,X4)
                    & element(X4,the_carrier(X0)) ) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( relstr_set_smaller(X0,X2,X1)
                  & ! [X3] :
                      ( related(X0,X1,X3)
                      | ~ relstr_set_smaller(X0,X2,X3)
                      | ~ element(X3,the_carrier(X0)) ) )
                | join_on_relstr(X0,X2) != X1
                | ~ ex_sup_of_relstr_set(X0,X2) )
              & ( ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) )
                | ~ relstr_set_smaller(X0,X2,X1)
                | ? [X4] :
                    ( ~ related(X0,X1,X4)
                    & relstr_set_smaller(X0,X2,X4)
                    & element(X4,the_carrier(X0)) ) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(flattening,[],[f45]) ).

fof(f47,plain,
    ! [X0] :
      ( ex_sup_of_relstr_set(X0,empty_set)
      | empty_carrier(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f48,plain,
    ! [X0] :
      ( ex_sup_of_relstr_set(X0,empty_set)
      | empty_carrier(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0) ),
    inference(flattening,[],[f47]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ related(X0,bottom_of_relstr(X0),X1)
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & antisymmetric_relstr(X0)
      & lower_bounded_relstr(X0)
      & rel_str(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f50,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ related(X0,bottom_of_relstr(X0),X1)
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & antisymmetric_relstr(X0)
      & lower_bounded_relstr(X0)
      & rel_str(X0) ),
    inference(flattening,[],[f49]) ).

fof(f52,plain,
    ! [X0] :
      ( ! [X1] :
          ( relstr_set_smaller(X0,empty_set,X1)
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f62,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( relstr_set_smaller(X0,X2,X1)
                  & ! [X3] :
                      ( related(X0,X1,X3)
                      | ~ relstr_set_smaller(X0,X2,X3)
                      | ~ element(X3,the_carrier(X0)) ) )
                | join_on_relstr(X0,X2) != X1
                | ~ ex_sup_of_relstr_set(X0,X2) )
              & ( ( X1 = join_on_relstr(X0,X2)
                  & ex_sup_of_relstr_set(X0,X2) )
                | ~ relstr_set_smaller(X0,X2,X1)
                | ( ~ related(X0,X1,sK7(X0,X1,X2))
                  & relstr_set_smaller(X0,X2,sK7(X0,X1,X2))
                  & element(sK7(X0,X1,X2),the_carrier(X0)) ) ) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X4,sK7(X0,X1,X2))],[f46]) ).

fof(f63,plain,
    ( ~ related(sK8,bottom_of_relstr(sK8),sK9)
    & element(sK9,the_carrier(sK8))
    & ~ empty_carrier(sK8)
    & antisymmetric_relstr(sK8)
    & lower_bounded_relstr(sK8)
    & rel_str(sK8) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f50]) ).

fof(f65,plain,
    ! [X0] :
      ( bottom_of_relstr(X0) = join_on_relstr(X0,empty_set)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( element(join_on_relstr(X0,X1),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1] :
      ( related(X0,X1,X3)
      | ~ relstr_set_smaller(X0,X2,X3)
      | ~ element(X3,the_carrier(X0))
      | join_on_relstr(X0,X2) != X1
      | ~ ex_sup_of_relstr_set(X0,X2)
      | ~ element(X1,the_carrier(X0))
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f89,plain,
    ! [X0] :
      ( ex_sup_of_relstr_set(X0,empty_set)
      | empty_carrier(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f90,plain,
    rel_str(sK8),
    inference(cnf_transformation,[],[f63]) ).

fof(f91,plain,
    lower_bounded_relstr(sK8),
    inference(cnf_transformation,[],[f63]) ).

fof(f92,plain,
    antisymmetric_relstr(sK8),
    inference(cnf_transformation,[],[f63]) ).

fof(f93,plain,
    ~ empty_carrier(sK8),
    inference(cnf_transformation,[],[f63]) ).

fof(f94,plain,
    element(sK9,the_carrier(sK8)),
    inference(cnf_transformation,[],[f63]) ).

fof(f95,plain,
    ~ related(sK8,bottom_of_relstr(sK8),sK9),
    inference(cnf_transformation,[],[f63]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( relstr_set_smaller(X0,empty_set,X1)
      | ~ element(X1,the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f101,plain,
    ! [X2,X3,X0] :
      ( related(X0,join_on_relstr(X0,X2),X3)
      | ~ relstr_set_smaller(X0,X2,X3)
      | ~ element(X3,the_carrier(X0))
      | ~ ex_sup_of_relstr_set(X0,X2)
      | ~ element(join_on_relstr(X0,X2),the_carrier(X0))
      | ~ antisymmetric_relstr(X0)
      | ~ rel_str(X0) ),
    inference(equality_resolution,[],[f87]) ).

fof(f118,definition,
    ( spl10_1
  <=> ex_sup_of_relstr_set(sK8,empty_set) ),
    introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).

fof(f119,plain,
    ( ex_sup_of_relstr_set(sK8,empty_set)
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f120,plain,
    ( ~ ex_sup_of_relstr_set(sK8,empty_set)
    | spl10_1 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f126,plain,
    ( empty_carrier(sK8)
    | ~ antisymmetric_relstr(sK8)
    | ~ lower_bounded_relstr(sK8)
    | ~ rel_str(sK8)
    | spl10_1 ),
    inference(resolution,[],[f120,f89]) ).

fof(f127,plain,
    ( ~ antisymmetric_relstr(sK8)
    | ~ lower_bounded_relstr(sK8)
    | ~ rel_str(sK8)
    | spl10_1 ),
    inference(forward_subsumption_resolution,[],[f126,f93]) ).

fof(f128,plain,
    ( ~ lower_bounded_relstr(sK8)
    | ~ rel_str(sK8)
    | spl10_1 ),
    inference(forward_subsumption_resolution,[],[f127,f92]) ).

fof(f129,plain,
    ( ~ rel_str(sK8)
    | spl10_1 ),
    inference(forward_subsumption_resolution,[],[f128,f91]) ).

fof(f130,plain,
    ( $false
    | spl10_1 ),
    inference(forward_subsumption_resolution,[],[f129,f90]) ).

fof(f131,plain,
    spl10_1,
    inference(avatar_contradiction_clause,[],[f130]) ).

fof(f142,plain,
    ! [X2,X3,X0] :
      ( ~ antisymmetric_relstr(X0)
      | ~ relstr_set_smaller(X0,X2,X3)
      | ~ element(X3,the_carrier(X0))
      | ~ ex_sup_of_relstr_set(X0,X2)
      | related(X0,join_on_relstr(X0,X2),X3)
      | ~ rel_str(X0) ),
    inference(forward_subsumption_resolution,[],[f101,f66]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ relstr_set_smaller(sK8,X0,X1)
      | ~ element(X1,the_carrier(sK8))
      | ~ ex_sup_of_relstr_set(sK8,X0)
      | related(sK8,join_on_relstr(sK8,X0),X1)
      | ~ rel_str(sK8) ),
    inference(resolution,[],[f142,f92]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( related(sK8,join_on_relstr(sK8,X0),X1)
      | ~ element(X1,the_carrier(sK8))
      | ~ ex_sup_of_relstr_set(sK8,X0)
      | ~ relstr_set_smaller(sK8,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f146,f90]) ).

fof(f149,plain,
    ! [X0] :
      ( related(sK8,bottom_of_relstr(sK8),X0)
      | ~ element(X0,the_carrier(sK8))
      | ~ ex_sup_of_relstr_set(sK8,empty_set)
      | ~ relstr_set_smaller(sK8,empty_set,X0)
      | ~ rel_str(sK8) ),
    inference(superposition,[],[f147,f65]) ).

fof(f150,plain,
    ( ! [X0] :
        ( related(sK8,bottom_of_relstr(sK8),X0)
        | ~ element(X0,the_carrier(sK8))
        | ~ relstr_set_smaller(sK8,empty_set,X0)
        | ~ rel_str(sK8) )
    | ~ spl10_1 ),
    inference(forward_subsumption_resolution,[],[f149,f119]) ).

fof(f152,plain,
    ( ! [X0] :
        ( related(sK8,bottom_of_relstr(sK8),X0)
        | ~ element(X0,the_carrier(sK8))
        | ~ relstr_set_smaller(sK8,empty_set,X0) )
    | ~ spl10_1 ),
    inference(forward_subsumption_resolution,[],[f150,f90]) ).

fof(f155,plain,
    ( ~ element(sK9,the_carrier(sK8))
    | ~ relstr_set_smaller(sK8,empty_set,sK9)
    | ~ spl10_1 ),
    inference(resolution,[],[f152,f95]) ).

fof(f158,plain,
    ( ~ relstr_set_smaller(sK8,empty_set,sK9)
    | ~ spl10_1 ),
    inference(forward_subsumption_resolution,[],[f155,f94]) ).

fof(f162,plain,
    ( ~ element(sK9,the_carrier(sK8))
    | ~ rel_str(sK8)
    | ~ spl10_1 ),
    inference(resolution,[],[f158,f97]) ).

fof(f163,plain,
    ( ~ rel_str(sK8)
    | ~ spl10_1 ),
    inference(forward_subsumption_resolution,[],[f162,f94]) ).

fof(f164,plain,
    ( $false
    | ~ spl10_1 ),
    inference(forward_subsumption_resolution,[],[f163,f90]) ).

fof(f165,plain,
    ~ spl10_1,
    inference(avatar_contradiction_clause,[],[f164]) ).

cnf(s2,plain,
    spl10_1,
    inference(sat_conversion,[],[f131]) ).

cnf(s3,plain,
    ~ spl10_1,
    inference(sat_conversion,[],[f165]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s2,s3]) ).

fof(f166,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU361+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n017.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 04:49:50 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 2.73/1.29  % (3212859)Detected formulas, will run a generic FOF schedule.
% 2.73/1.29  % (3212866)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=1394988575:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.29  % (3212870)dis-21_1_sil=8000:lcm=predicate:random_seed=2553399720: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)
% 2.73/1.29  % (3212865)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=1981117690:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.29  % (3212864)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=4181830736:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.29  % (3212867)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=441989804:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.29  % (3212868)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4235300373:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.29  % (3212869)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4237105163:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.29  % (3212867)Refutation not found, incomplete strategy
% 2.73/1.29  % (3212867)------------------------------
% 2.73/1.29  % (3212867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.29  % (3212867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.29  % (3212867)CaDiCaL version: 2.1.3
% 2.73/1.29  % (3212867)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.29  % (3212867)Time elapsed: 0.002 s
% 2.73/1.29  % (3212867)Peak memory usage: 88 MB
% 2.73/1.29  % (3212867)Instructions burned: 1 (million)
% 2.73/1.29  % (3212868)Refutation not found, incomplete strategy
% 2.73/1.29  % (3212868)------------------------------
% 2.73/1.29  % (3212868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.29  % (3212868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.29  % (3212868)CaDiCaL version: 2.1.3
% 2.73/1.29  % (3212868)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.29  % (3212868)Time elapsed: 0.004 s
% 2.73/1.29  % (3212868)Peak memory usage: 88 MB
% 2.73/1.29  % (3212868)Instructions burned: 4 (million)
% 2.73/1.29  % (3212869)First to succeed.
% 2.73/1.29  % (3212869)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3212859"
% 2.73/1.29  % (3212870)Instruction limit reached! 
% 2.73/1.29  % (3212870)------------------------------
% 2.73/1.29  % (3212870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.29  % (3212870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.29  % (3212870)CaDiCaL version: 2.1.3
% 2.73/1.29  % (3212870)Termination reason: Instruction limit
% 2.73/1.29  % (3212870)Termination phase: Saturation
% 2.73/1.29  % (3212870)Time elapsed: 0.058 s
% 2.73/1.29  % (3212870)Peak memory usage: 88 MB
% 2.73/1.29  % (3212870)Instructions burned: 130 (million)
% 2.73/1.29  % (3212878)lrs+10_1_sil=8000:sp=occurrence:random_seed=12160011:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.73/1.29  % (3212878)Also succeeded, but the first one will report.
% 2.73/1.29  % (3212868)------------------------------
% 2.73/1.29  % (3212868)------------------------------
% 2.73/1.29  % (3212867)------------------------------
% 2.73/1.29  % (3212867)------------------------------
% 2.73/1.29  % (3212869)Refutation found. Thanks to Tanya!
% 2.73/1.29  % SZS status Theorem for theBenchmark
% 2.73/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.39  % (3212869)------------------------------
% 3.54/1.39  % (3212869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.39  % (3212869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.39  % (3212869)CaDiCaL version: 2.1.3
% 3.54/1.39  % (3212869)Termination reason: Refutation
% 3.54/1.39  % (3212869)Time elapsed: 0.006 s
% 3.54/1.39  % (3212869)Peak memory usage: 90 MB
% 3.54/1.39  % (3212869)Instructions burned: 6 (million)
% 3.54/1.39  % (3212869)------------------------------
% 3.54/1.39  % (3212869)------------------------------
% 3.54/1.39  % (3212859)Success in time 0.437 s
% 3.54/1.39  % Vampire exiting
%------------------------------------------------------------------------------