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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU387+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 12:48:40 PM UTC 2026

% Result   : Theorem 1.75s 1.13s
% Output   : Refutation 2.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   52 (  19 unt;   0 def)
%            Number of atoms       :  293 (   6 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :  376 ( 135   ~; 102   |; 129   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   27 (  25 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-1 aty)
%            Number of variables   :   48 (  42   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [X0] :
      ( strict_rel_str(boole_POSet(X0))
      & rel_str(boole_POSet(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).

fof(f43,axiom,
    ! [X0] :
      ( ~ empty_carrier(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & up_complete_relstr(boole_POSet(X0))
      & join_complete_relstr(boole_POSet(X0))
      & ~ v1_yellow_3(boole_POSet(X0))
      & distributive_relstr(boole_POSet(X0))
      & heyting_relstr(boole_POSet(X0))
      & complemented_relstr(boole_POSet(X0))
      & boolean_relstr(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & complete_relstr(boole_POSet(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel_7) ).

fof(f75,axiom,
    ! [X0] : bottom_of_relstr(boole_POSet(X0)) = empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_yellow_1) ).

fof(f78,conjecture,
    ! [X0] :
      ( ~ empty(X0)
     => ! [X1] :
          ( ( ~ empty(X1)
            & filtered_subset(X1,boole_POSet(X0))
            & upper_relstr_subset(X1,boole_POSet(X0))
            & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
            & element(X1,powerset(the_carrier(boole_POSet(X0)))) )
         => ! [X2] :
              ~ ( in(X2,X1)
                & empty(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yellow19) ).

fof(f79,negated_conjecture,
    ~ ! [X0] :
        ( ~ empty(X0)
       => ! [X1] :
            ( ( ~ empty(X1)
              & filtered_subset(X1,boole_POSet(X0))
              & upper_relstr_subset(X1,boole_POSet(X0))
              & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
              & element(X1,powerset(the_carrier(boole_POSet(X0)))) )
           => ! [X2] :
                ~ ( in(X2,X1)
                  & empty(X2) ) ) ),
    inference(negated_conjecture,[status(cth)],[f78]) ).

fof(f83,axiom,
    ! [X0] :
      ( empty(X0)
     => X0 = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(f84,axiom,
    ! [X0,X1] :
      ~ ( in(X0,X1)
        & empty(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

fof(f86,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & reflexive_relstr(X0)
        & transitive_relstr(X0)
        & antisymmetric_relstr(X0)
        & lower_bounded_relstr(X0)
        & rel_str(X0) )
     => ! [X1] :
          ( ( ~ empty(X1)
            & filtered_subset(X1,X0)
            & upper_relstr_subset(X1,X0)
            & element(X1,powerset(the_carrier(X0))) )
         => ( proper_element(X1,powerset(the_carrier(X0)))
          <=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel_7) ).

fof(f91,plain,
    ! [X0] :
      ( ~ empty_carrier(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & up_complete_relstr(boole_POSet(X0))
      & join_complete_relstr(boole_POSet(X0))
      & ~ v1_yellow_3(boole_POSet(X0))
      & distributive_relstr(boole_POSet(X0))
      & heyting_relstr(boole_POSet(X0))
      & complemented_relstr(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & complete_relstr(boole_POSet(X0)) ),
    inference(pure_predicate_removal,[],[f43]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ empty_carrier(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & up_complete_relstr(boole_POSet(X0))
      & join_complete_relstr(boole_POSet(X0))
      & ~ v1_yellow_3(boole_POSet(X0))
      & distributive_relstr(boole_POSet(X0))
      & heyting_relstr(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & complete_relstr(boole_POSet(X0)) ),
    inference(pure_predicate_removal,[],[f91]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ empty_carrier(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & up_complete_relstr(boole_POSet(X0))
      & join_complete_relstr(boole_POSet(X0))
      & ~ v1_yellow_3(boole_POSet(X0))
      & distributive_relstr(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & complete_relstr(boole_POSet(X0)) ),
    inference(pure_predicate_removal,[],[f96]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ empty_carrier(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & up_complete_relstr(boole_POSet(X0))
      & join_complete_relstr(boole_POSet(X0))
      & ~ v1_yellow_3(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & complete_relstr(boole_POSet(X0)) ),
    inference(pure_predicate_removal,[],[f98]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ empty_carrier(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & up_complete_relstr(boole_POSet(X0))
      & join_complete_relstr(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & complete_relstr(boole_POSet(X0)) ),
    inference(pure_predicate_removal,[],[f102]) ).

fof(f177,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( in(X2,X1)
              & empty(X2) )
          & ~ empty(X1)
          & filtered_subset(X1,boole_POSet(X0))
          & upper_relstr_subset(X1,boole_POSet(X0))
          & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
          & element(X1,powerset(the_carrier(boole_POSet(X0)))) )
      & ~ empty(X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f178,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( in(X2,X1)
              & empty(X2) )
          & ~ empty(X1)
          & filtered_subset(X1,boole_POSet(X0))
          & upper_relstr_subset(X1,boole_POSet(X0))
          & proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
          & element(X1,powerset(the_carrier(boole_POSet(X0)))) )
      & ~ empty(X0) ),
    inference(flattening,[],[f177]) ).

fof(f183,plain,
    ! [X0] :
      ( X0 = empty_set
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f186,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( proper_element(X1,powerset(the_carrier(X0)))
          <=> ~ in(bottom_of_relstr(X0),X1) )
          | empty(X1)
          | ~ filtered_subset(X1,X0)
          | ~ upper_relstr_subset(X1,X0)
          | ~ element(X1,powerset(the_carrier(X0))) )
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f187,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( proper_element(X1,powerset(the_carrier(X0)))
          <=> ~ in(bottom_of_relstr(X0),X1) )
          | empty(X1)
          | ~ filtered_subset(X1,X0)
          | ~ upper_relstr_subset(X1,X0)
          | ~ element(X1,powerset(the_carrier(X0))) )
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0) ),
    inference(flattening,[],[f186]) ).

fof(f221,plain,
    ( in(sK30,sK29)
    & empty(sK30)
    & ~ empty(sK29)
    & filtered_subset(sK29,boole_POSet(sK28))
    & upper_relstr_subset(sK29,boole_POSet(sK28))
    & proper_element(sK29,powerset(the_carrier(boole_POSet(sK28))))
    & element(sK29,powerset(the_carrier(boole_POSet(sK28))))
    & ~ empty(sK28) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30]),skolemize(X0,sK28),skolemize(X1,sK29),skolemize(X2,sK30)],[f178]) ).

fof(f222,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( proper_element(X1,powerset(the_carrier(X0)))
              | in(bottom_of_relstr(X0),X1) )
            & ( ~ in(bottom_of_relstr(X0),X1)
              | ~ proper_element(X1,powerset(the_carrier(X0))) ) )
          | empty(X1)
          | ~ filtered_subset(X1,X0)
          | ~ upper_relstr_subset(X1,X0)
          | ~ element(X1,powerset(the_carrier(X0))) )
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f187]) ).

fof(f278,plain,
    ! [X0] : rel_str(boole_POSet(X0)),
    inference(cnf_transformation,[],[f26]) ).

fof(f299,plain,
    ! [X0] : lower_bounded_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f106]) ).

fof(f300,plain,
    ! [X0] : antisymmetric_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f106]) ).

fof(f301,plain,
    ! [X0] : transitive_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f106]) ).

fof(f302,plain,
    ! [X0] : reflexive_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f106]) ).

fof(f304,plain,
    ! [X0] : ~ empty_carrier(boole_POSet(X0)),
    inference(cnf_transformation,[],[f106]) ).

fof(f461,plain,
    ! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f75]) ).

fof(f465,plain,
    element(sK29,powerset(the_carrier(boole_POSet(sK28)))),
    inference(cnf_transformation,[],[f221]) ).

fof(f466,plain,
    proper_element(sK29,powerset(the_carrier(boole_POSet(sK28)))),
    inference(cnf_transformation,[],[f221]) ).

fof(f467,plain,
    upper_relstr_subset(sK29,boole_POSet(sK28)),
    inference(cnf_transformation,[],[f221]) ).

fof(f468,plain,
    filtered_subset(sK29,boole_POSet(sK28)),
    inference(cnf_transformation,[],[f221]) ).

fof(f470,plain,
    empty(sK30),
    inference(cnf_transformation,[],[f221]) ).

fof(f471,plain,
    in(sK30,sK29),
    inference(cnf_transformation,[],[f221]) ).

fof(f475,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f183]) ).

fof(f476,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f478,plain,
    ! [X0,X1] :
      ( ~ in(bottom_of_relstr(X0),X1)
      | ~ proper_element(X1,powerset(the_carrier(X0)))
      | empty(X1)
      | ~ filtered_subset(X1,X0)
      | ~ upper_relstr_subset(X1,X0)
      | ~ element(X1,powerset(the_carrier(X0)))
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f483,plain,
    empty_set = sK30,
    inference(resolution,[],[f475,f470]) ).

fof(f484,plain,
    in(empty_set,sK29),
    inference(superposition,[],[f471,f483]) ).

fof(f533,plain,
    ! [X0,X1] :
      ( ~ proper_element(X1,powerset(the_carrier(X0)))
      | ~ in(bottom_of_relstr(X0),X1)
      | ~ filtered_subset(X1,X0)
      | ~ upper_relstr_subset(X1,X0)
      | ~ element(X1,powerset(the_carrier(X0)))
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ transitive_relstr(X0)
      | ~ antisymmetric_relstr(X0)
      | ~ lower_bounded_relstr(X0)
      | ~ rel_str(X0) ),
    inference(forward_subsumption_resolution,[],[f478,f476]) ).

fof(f544,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ filtered_subset(sK29,boole_POSet(sK28))
    | ~ upper_relstr_subset(sK29,boole_POSet(sK28))
    | ~ element(sK29,powerset(the_carrier(boole_POSet(sK28))))
    | empty_carrier(boole_POSet(sK28))
    | ~ reflexive_relstr(boole_POSet(sK28))
    | ~ transitive_relstr(boole_POSet(sK28))
    | ~ antisymmetric_relstr(boole_POSet(sK28))
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(resolution,[],[f533,f466]) ).

fof(f548,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ upper_relstr_subset(sK29,boole_POSet(sK28))
    | ~ element(sK29,powerset(the_carrier(boole_POSet(sK28))))
    | empty_carrier(boole_POSet(sK28))
    | ~ reflexive_relstr(boole_POSet(sK28))
    | ~ transitive_relstr(boole_POSet(sK28))
    | ~ antisymmetric_relstr(boole_POSet(sK28))
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f544,f468]) ).

fof(f550,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ element(sK29,powerset(the_carrier(boole_POSet(sK28))))
    | empty_carrier(boole_POSet(sK28))
    | ~ reflexive_relstr(boole_POSet(sK28))
    | ~ transitive_relstr(boole_POSet(sK28))
    | ~ antisymmetric_relstr(boole_POSet(sK28))
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f548,f467]) ).

fof(f552,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | empty_carrier(boole_POSet(sK28))
    | ~ reflexive_relstr(boole_POSet(sK28))
    | ~ transitive_relstr(boole_POSet(sK28))
    | ~ antisymmetric_relstr(boole_POSet(sK28))
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f550,f465]) ).

fof(f553,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ reflexive_relstr(boole_POSet(sK28))
    | ~ transitive_relstr(boole_POSet(sK28))
    | ~ antisymmetric_relstr(boole_POSet(sK28))
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f552,f304]) ).

fof(f554,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ transitive_relstr(boole_POSet(sK28))
    | ~ antisymmetric_relstr(boole_POSet(sK28))
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f553,f302]) ).

fof(f555,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ antisymmetric_relstr(boole_POSet(sK28))
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f554,f301]) ).

fof(f556,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f555,f300]) ).

fof(f557,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f556,f299]) ).

fof(f558,plain,
    ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29),
    inference(forward_subsumption_resolution,[],[f557,f278]) ).

fof(f559,plain,
    ~ in(empty_set,sK29),
    inference(forward_demodulation,[],[f558,f461]) ).

fof(f560,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f559,f484]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU387+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n002.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 05:06:52 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.75/1.13  % (4160131)Detected formulas, will run a generic FOF schedule.
% 1.75/1.13  % (4160141)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2563988837:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.75/1.13  % (4160141)First to succeed.
% 1.75/1.13  % (4160141)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4160131"
% 1.75/1.13  % (4160136)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=2883345050:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.75/1.13  % (4160139)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4130463088:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.75/1.13  % (4160137)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=225172890:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.75/1.13  % (4160142)dis-21_1_sil=8000:lcm=predicate:random_seed=2947761272: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)
% 1.75/1.13  % (4160138)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=382222835:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.75/1.13  % (4160140)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=837814616:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.75/1.13  % (4160139)Refutation not found, incomplete strategy
% 1.75/1.13  % (4160139)------------------------------
% 1.75/1.13  % (4160139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.75/1.13  % (4160139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/1.13  % (4160139)CaDiCaL version: 2.1.3
% 1.75/1.13  % (4160139)Termination reason: Refutation not found, incomplete strategy
% 1.75/1.13  % (4160139)Time elapsed: 0.003 s
% 1.75/1.13  % (4160139)Peak memory usage: 88 MB
% 1.75/1.13  % (4160139)Instructions burned: 3 (million)
% 1.75/1.13  % (4160140)Also succeeded, but the first one will report.
% 1.75/1.13  % (4160142)Instruction limit reached! 
% 1.75/1.13  % (4160142)------------------------------
% 1.75/1.13  % (4160142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.75/1.13  % (4160142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/1.13  % (4160142)CaDiCaL version: 2.1.3
% 1.75/1.13  % (4160142)Termination reason: Instruction limit
% 1.75/1.13  % (4160142)Termination phase: Saturation
% 1.75/1.13  % (4160142)Time elapsed: 0.071 s
% 1.75/1.13  % (4160142)Peak memory usage: 91 MB
% 1.75/1.13  % (4160142)Instructions burned: 129 (million)
% 1.75/1.13  % (4160141)Refutation found. Thanks to Tanya!
% 1.75/1.13  % SZS status Theorem for theBenchmark
% 1.75/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 2.58/1.33  % (4160141)------------------------------
% 2.58/1.33  % (4160141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.33  % (4160141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.33  % (4160141)CaDiCaL version: 2.1.3
% 2.58/1.33  % (4160141)Termination reason: Refutation
% 2.58/1.33  % (4160141)Time elapsed: 0.006 s
% 2.58/1.33  % (4160141)Peak memory usage: 89 MB
% 2.58/1.33  % (4160141)Instructions burned: 14 (million)
% 2.58/1.33  % (4160141)------------------------------
% 2.58/1.33  % (4160141)------------------------------
% 2.58/1.33  % (4160131)Success in time 0.278 s
% 2.58/1.33  % Vampire exiting
%------------------------------------------------------------------------------