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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 SAT

% Computer : n015.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 12:53:06 PM UTC 2026

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% 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(f497,plain,
    empty_set = sK30,
    inference(resolution,[],[f475,f470]) ).

fof(f500,plain,
    in(empty_set,sK29),
    inference(superposition,[],[f471,f497]) ).

fof(f917,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(f928,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,[],[f917,f466]) ).

fof(f932,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,[],[f928,f468]) ).

fof(f934,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,[],[f932,f467]) ).

fof(f936,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,[],[f934,f465]) ).

fof(f937,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,[],[f936,f304]) ).

fof(f938,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,[],[f937,f302]) ).

fof(f939,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,[],[f938,f301]) ).

fof(f940,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ lower_bounded_relstr(boole_POSet(sK28))
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f939,f300]) ).

fof(f941,plain,
    ( ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29)
    | ~ rel_str(boole_POSet(sK28)) ),
    inference(forward_subsumption_resolution,[],[f940,f299]) ).

fof(f942,plain,
    ~ in(bottom_of_relstr(boole_POSet(sK28)),sK29),
    inference(forward_subsumption_resolution,[],[f941,f278]) ).

fof(f943,plain,
    ~ in(empty_set,sK29),
    inference(forward_demodulation,[],[f942,f461]) ).

fof(f944,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f943,f500]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU387+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39  % Computer : n015.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Mon Sep 28 05:07:32 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42  Running first-order model finding
% 0.13/0.43  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
% 0.18/0.47  % (2268714)Will run a generic schedule for satisfiability detection.
% 0.18/0.47  % (2268722)dis+10_1_sil=32000:sp=arity:random_seed=3868874603:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47  % (2268720)% WARNING: option uhcvi not known.
% 0.18/0.47  % (2268722) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2268714-2268722"...
% 0.18/0.47  % (2268719)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1487422474_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47  % (2268720)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2615710849:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47  % (2268724)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=37204962:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47  % (2268721)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3160118735:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47  % (2268723)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1780604582:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47  % (2268725)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1698811827:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47  % (2268722)...printing done.
% 0.18/0.47  % (2268722)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Theorem for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (2268722)------------------------------
% 0.18/0.48  % (2268722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48  % (2268722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48  % (2268722)CaDiCaL version: 2.1.3
% 0.18/0.48  % (2268722)Termination reason: Refutation
% 0.18/0.48  % (2268722)Time elapsed: 0.007 s
% 0.18/0.48  % (2268722)Peak memory usage: 12 MB
% 0.18/0.48  % (2268722)Instructions burned: 19 (million)
% 0.18/0.48  % (2268714)Success in time 0.04 s
% 0.18/0.48  % Vampire exiting
%------------------------------------------------------------------------------