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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU363+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 12:53:01 PM UTC 2026

% Result   : Theorem 1.47s 0.78s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   86 (  24 unt;   2 def)
%            Number of atoms       :  247 (  21 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  256 (  95   ~;  89   |;  37   &)
%                                         (   9 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :  104 (   0 sgn  92   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(f5,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( subrelstr(X1,X0)
         => ( full_subrelstr(X1,X0)
          <=> the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_yellow_0) ).

fof(f6,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( related(X0,X1,X2)
              <=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).

fof(f17,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( subrelstr(X1,X0)
         => rel_str(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).

fof(f19,axiom,
    ! [X0] :
      ( rel_str(X0)
     => relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation_restriction_as_relation_of(X0,X1) = relation_restriction(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_toler_1) ).

fof(f37,axiom,
    ! [X0,X1,X2,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X0,X2)
        & in(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).

fof(f38,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,X2)
          & in(X0,cartesian_product2(X1,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).

fof(f44,conjecture,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( ( full_subrelstr(X1,X0)
            & subrelstr(X1,X0) )
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ! [X3] :
                  ( element(X3,the_carrier(X0))
                 => ! [X4] :
                      ( element(X4,the_carrier(X1))
                     => ! [X5] :
                          ( element(X5,the_carrier(X1))
                         => ( ( X4 = X2
                              & X5 = X3
                              & related(X0,X2,X3)
                              & in(X4,the_carrier(X1))
                              & in(X5,the_carrier(X1)) )
                           => related(X1,X4,X5) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_yellow_0) ).

fof(f45,negated_conjecture,
    ~ ! [X0] :
        ( rel_str(X0)
       => ! [X1] :
            ( ( full_subrelstr(X1,X0)
              & subrelstr(X1,X0) )
           => ! [X2] :
                ( element(X2,the_carrier(X0))
               => ! [X3] :
                    ( element(X3,the_carrier(X0))
                   => ! [X4] :
                        ( element(X4,the_carrier(X1))
                       => ! [X5] :
                            ( element(X5,the_carrier(X1))
                           => ( ( X4 = X2
                                & X5 = X3
                                & related(X0,X2,X3)
                                & in(X4,the_carrier(X1))
                                & in(X5,the_carrier(X1)) )
                             => related(X1,X4,X5) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( full_subrelstr(X1,X0)
          <=> the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1)) )
          | ~ subrelstr(X1,X0) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( related(X0,X1,X2)
              <=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f61,plain,
    ! [X0] :
      ( ! [X1] :
          ( rel_str(X1)
          | ~ subrelstr(X1,X0) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f63,plain,
    ! [X0] :
      ( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( relation_restriction_as_relation_of(X0,X1) = relation_restriction(X0,X1)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,X2)
          & in(X0,cartesian_product2(X1,X1)) ) )
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f78,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ related(X1,X4,X5)
                          & X4 = X2
                          & X5 = X3
                          & related(X0,X2,X3)
                          & in(X4,the_carrier(X1))
                          & in(X5,the_carrier(X1))
                          & element(X5,the_carrier(X1)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X0)) )
              & element(X2,the_carrier(X0)) )
          & full_subrelstr(X1,X0)
          & subrelstr(X1,X0) )
      & rel_str(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f79,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ~ related(X1,X4,X5)
                          & X4 = X2
                          & X5 = X3
                          & related(X0,X2,X3)
                          & in(X4,the_carrier(X1))
                          & in(X5,the_carrier(X1))
                          & element(X5,the_carrier(X1)) )
                      & element(X4,the_carrier(X1)) )
                  & element(X3,the_carrier(X0)) )
              & element(X2,the_carrier(X0)) )
          & full_subrelstr(X1,X0)
          & subrelstr(X1,X0) )
      & rel_str(X0) ),
    inference(flattening,[],[f78]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(cartesian_product2(X0,X1)))
      | relation(X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ full_subrelstr(X1,X0)
      | ~ subrelstr(X1,X0)
      | the_InternalRel(X1) = relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | ~ rel_str(X0)
      | related(X0,X1,X2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,X1,X2)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0))
      | in(ordered_pair(X1,X2),the_InternalRel(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ subrelstr(X1,X0)
      | ~ rel_str(X0)
      | rel_str(X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f95,plain,
    ! [X0] :
      ( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation_restriction_as_relation_of(X0,X1) = relation_restriction(X0,X1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      | ~ in(X0,X2)
      | ~ in(X1,X3) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,cartesian_product2(X1,X1))
      | ~ relation(X2)
      | ~ in(X0,X2)
      | in(X0,relation_restriction(X2,X1)) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f128,plain,
    element(sK15,the_carrier(sK11)),
    inference(cnf_transformation,[],[f79]) ).

fof(f129,plain,
    in(sK15,the_carrier(sK11)),
    inference(cnf_transformation,[],[f79]) ).

fof(f130,plain,
    in(sK14,the_carrier(sK11)),
    inference(cnf_transformation,[],[f79]) ).

fof(f131,plain,
    related(sK10,sK12,sK13),
    inference(cnf_transformation,[],[f79]) ).

fof(f132,plain,
    sK13 = sK15,
    inference(cnf_transformation,[],[f79]) ).

fof(f133,plain,
    sK12 = sK14,
    inference(cnf_transformation,[],[f79]) ).

fof(f134,plain,
    ~ related(sK11,sK14,sK15),
    inference(cnf_transformation,[],[f79]) ).

fof(f135,plain,
    element(sK14,the_carrier(sK11)),
    inference(cnf_transformation,[],[f79]) ).

fof(f136,plain,
    element(sK13,the_carrier(sK10)),
    inference(cnf_transformation,[],[f79]) ).

fof(f137,plain,
    element(sK12,the_carrier(sK10)),
    inference(cnf_transformation,[],[f79]) ).

fof(f138,plain,
    subrelstr(sK11,sK10),
    inference(cnf_transformation,[],[f79]) ).

fof(f139,plain,
    full_subrelstr(sK11,sK10),
    inference(cnf_transformation,[],[f79]) ).

fof(f140,plain,
    rel_str(sK10),
    inference(cnf_transformation,[],[f79]) ).

fof(f144,plain,
    element(sK14,the_carrier(sK10)),
    inference(definition_unfolding,[],[f137,f133]) ).

fof(f145,plain,
    element(sK15,the_carrier(sK10)),
    inference(definition_unfolding,[],[f136,f132]) ).

fof(f146,plain,
    related(sK10,sK14,sK15),
    inference(definition_unfolding,[],[f131,f133,f132]) ).

fof(f159,plain,
    ( ~ rel_str(sK10)
    | rel_str(sK11) ),
    inference(resolution,[],[f93,f138]) ).

fof(f162,plain,
    rel_str(sK11),
    inference(forward_subsumption_resolution,[],[f159,f140]) ).

fof(f250,plain,
    ( ~ subrelstr(sK11,sK10)
    | the_InternalRel(sK11) = relation_restriction_as_relation_of(the_InternalRel(sK10),the_carrier(sK11))
    | ~ rel_str(sK10) ),
    inference(resolution,[],[f88,f139]) ).

fof(f251,plain,
    ( the_InternalRel(sK11) = relation_restriction_as_relation_of(the_InternalRel(sK10),the_carrier(sK11))
    | ~ rel_str(sK10) ),
    inference(forward_subsumption_resolution,[],[f250,f138]) ).

fof(f252,plain,
    the_InternalRel(sK11) = relation_restriction_as_relation_of(the_InternalRel(sK10),the_carrier(sK11)),
    inference(forward_subsumption_resolution,[],[f251,f140]) ).

fof(f257,definition,
    ( spl16_4
  <=> relation(the_InternalRel(sK10)) ),
    introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).

fof(f258,plain,
    ( relation(the_InternalRel(sK10))
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f259,plain,
    ( ~ relation(the_InternalRel(sK10))
    | spl16_4 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f383,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X0,X1,X2)
      | relation(X0) ),
    inference(resolution,[],[f94,f85]) ).

fof(f387,plain,
    ! [X0] :
      ( relation(the_InternalRel(X0))
      | ~ rel_str(X0) ),
    inference(resolution,[],[f383,f95]) ).

fof(f566,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X1,X2),X0)
      | ~ relation(X0)
      | in(ordered_pair(X1,X2),relation_restriction(X0,X3))
      | ~ in(X1,X3)
      | ~ in(X2,X3) ),
    inference(resolution,[],[f122,f119]) ).

fof(f823,plain,
    ( ~ element(sK14,the_carrier(sK10))
    | ~ element(sK15,the_carrier(sK10))
    | in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
    | ~ rel_str(sK10) ),
    inference(resolution,[],[f90,f146]) ).

fof(f827,plain,
    ( ~ element(sK15,the_carrier(sK10))
    | in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
    | ~ rel_str(sK10) ),
    inference(forward_subsumption_resolution,[],[f823,f144]) ).

fof(f829,plain,
    ( in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
    | ~ rel_str(sK10) ),
    inference(forward_subsumption_resolution,[],[f827,f145]) ).

fof(f830,plain,
    in(ordered_pair(sK14,sK15),the_InternalRel(sK10)),
    inference(forward_subsumption_resolution,[],[f829,f140]) ).

fof(f1761,plain,
    ! [X0] :
      ( ~ relation(the_InternalRel(sK10))
      | in(ordered_pair(sK14,sK15),relation_restriction(the_InternalRel(sK10),X0))
      | ~ in(sK14,X0)
      | ~ in(sK15,X0) ),
    inference(resolution,[],[f830,f566]) ).

fof(f1978,definition,
    ( spl16_32
  <=> ! [X0] :
        ( in(ordered_pair(sK14,sK15),relation_restriction(the_InternalRel(sK10),X0))
        | ~ in(sK15,X0)
        | ~ in(sK14,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl16_32])],[avatar_definition]) ).

fof(f1979,plain,
    ( ! [X0] :
        ( ~ in(sK15,X0)
        | in(ordered_pair(sK14,sK15),relation_restriction(the_InternalRel(sK10),X0))
        | ~ in(sK14,X0) )
    | ~ spl16_32 ),
    inference(avatar_component_clause,[],[f1978]) ).

fof(f1980,plain,
    ( spl16_32
    | ~ spl16_4 ),
    inference(avatar_split_clause,[],[f1761,f257,f1978]) ).

fof(f2050,plain,
    ( ~ rel_str(sK10)
    | spl16_4 ),
    inference(resolution,[],[f387,f259]) ).

fof(f2054,plain,
    ( $false
    | spl16_4 ),
    inference(forward_subsumption_resolution,[],[f2050,f140]) ).

fof(f2055,plain,
    spl16_4,
    inference(avatar_contradiction_clause,[],[f2054]) ).

fof(f2059,plain,
    ( ! [X0] : relation_restriction(the_InternalRel(sK10),X0) = relation_restriction_as_relation_of(the_InternalRel(sK10),X0)
    | ~ spl16_4 ),
    inference(resolution,[],[f258,f113]) ).

fof(f2060,plain,
    ( the_InternalRel(sK11) = relation_restriction(the_InternalRel(sK10),the_carrier(sK11))
    | ~ spl16_4 ),
    inference(superposition,[],[f2059,f252]) ).

fof(f2085,plain,
    ( in(ordered_pair(sK14,sK15),relation_restriction(the_InternalRel(sK10),the_carrier(sK11)))
    | ~ in(sK14,the_carrier(sK11))
    | ~ spl16_32 ),
    inference(resolution,[],[f1979,f129]) ).

fof(f2088,plain,
    ( in(ordered_pair(sK14,sK15),relation_restriction(the_InternalRel(sK10),the_carrier(sK11)))
    | ~ spl16_32 ),
    inference(forward_subsumption_resolution,[],[f2085,f130]) ).

fof(f2144,plain,
    ( in(ordered_pair(sK14,sK15),the_InternalRel(sK11))
    | ~ spl16_4
    | ~ spl16_32 ),
    inference(forward_demodulation,[],[f2088,f2060]) ).

fof(f2145,plain,
    ( ~ element(sK14,the_carrier(sK11))
    | ~ element(sK15,the_carrier(sK11))
    | ~ rel_str(sK11)
    | related(sK11,sK14,sK15)
    | ~ spl16_4
    | ~ spl16_32 ),
    inference(resolution,[],[f2144,f89]) ).

fof(f2153,plain,
    ( ~ element(sK15,the_carrier(sK11))
    | ~ rel_str(sK11)
    | related(sK11,sK14,sK15)
    | ~ spl16_4
    | ~ spl16_32 ),
    inference(forward_subsumption_resolution,[],[f2145,f135]) ).

fof(f2154,plain,
    ( ~ rel_str(sK11)
    | related(sK11,sK14,sK15)
    | ~ spl16_4
    | ~ spl16_32 ),
    inference(forward_subsumption_resolution,[],[f2153,f128]) ).

fof(f2155,plain,
    ( related(sK11,sK14,sK15)
    | ~ spl16_4
    | ~ spl16_32 ),
    inference(forward_subsumption_resolution,[],[f2154,f162]) ).

fof(f2156,plain,
    ( $false
    | ~ spl16_4
    | ~ spl16_32 ),
    inference(forward_subsumption_resolution,[],[f2155,f134]) ).

fof(f2157,plain,
    ( ~ spl16_4
    | ~ spl16_32 ),
    inference(avatar_contradiction_clause,[],[f2156]) ).

cnf(s36,plain,
    ( ~ spl16_4
    | spl16_32 ),
    inference(sat_conversion,[],[f1980]) ).

cnf(s39,plain,
    spl16_4,
    inference(sat_conversion,[],[f2055]) ).

cnf(s44,plain,
    ( ~ spl16_4
    | ~ spl16_32 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s45,plain,
    ~ spl16_32,
    inference(rat,[],[s44,s39]) ).

cnf(s46,plain,
    $false,
    inference(rat,[],[s36,s45,s39]) ).

fof(f2158,plain,
    $false,
    inference(avatar_sat_refutation,[],[s46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU363+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41  % Computer : n008.cluster.edu
% 0.13/0.41  % Model    : x86_64 x86_64
% 0.13/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41  % Memory   : 8046.5625MB
% 0.13/0.41  % OS       : Linux 6.8.0-71-generic
% 0.13/0.41  % CPULimit : 300
% 0.13/0.41  % WCLimit  : 300
% 0.13/0.41  % DateTime : Mon Sep 28 04:55:39 UTC 2026
% 0.13/0.41  % CPUTime  : 
% 0.13/0.41  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44  Running first-order model finding
% 0.13/0.44  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.47/0.78  % (1886972)Will run a generic schedule for satisfiability detection.
% 1.47/0.78  % (1886986)dis+10_1_sil=32000:sp=arity:random_seed=522724535:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.47/0.78  % (1886984)% WARNING: option uhcvi not known.
% 1.47/0.78  % (1886985)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1691546953:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.47/0.78  % (1886983)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2144948832_2999 on theBenchmark for (2999ds/0Mi)
% 1.47/0.78  % (1886988)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=512438535:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.47/0.78  % (1886984)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=941870673:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.47/0.78  % (1886987)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4257417022:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.47/0.78  % (1886989)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3943534727:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.47/0.78  % TRYING [1]
% 1.47/0.78  % TRYING [2]
% 1.47/0.78  % TRYING [3]
% 1.47/0.78  % TRYING [4]
% 1.47/0.78  % (1886986)Instruction limit reached! 
% 1.47/0.78  % (1886986)------------------------------
% 1.47/0.78  % (1886986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.78  % (1886986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.78  % (1886986)CaDiCaL version: 2.1.3
% 1.47/0.78  % (1886986)Termination reason: Instruction limit
% 1.47/0.78  % (1886986)Termination phase: Saturation
% 1.47/0.78  % (1886986)Time elapsed: 0.038 s
% 1.47/0.78  % (1886986)Peak memory usage: 12 MB
% 1.47/0.78  % (1886986)Instructions burned: 106 (million)
% 1.47/0.78  % (1887005)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3861831420:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.47/0.78  % TRYING [1]
% 1.47/0.78  % TRYING [2]
% 1.47/0.78  % TRYING [3]
% 1.47/0.78  % TRYING [4]
% 1.47/0.78  % TRYING [5]
% 1.47/0.78  % (1886987)Instruction limit reached! 
% 1.47/0.78  % (1886987)------------------------------
% 1.47/0.78  % (1886987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.78  % (1886987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.78  % (1886987)CaDiCaL version: 2.1.3
% 1.47/0.78  % (1886987)Termination reason: Instruction limit
% 1.47/0.78  % (1886987)Termination phase: Saturation
% 1.47/0.78  % (1886987)Time elapsed: 0.077 s
% 1.47/0.78  % (1886987)Peak memory usage: 12 MB
% 1.47/0.78  % (1886987)Instructions burned: 116 (million)
% 1.47/0.78  % (1886988)Instruction limit reached! 
% 1.47/0.78  % (1886988)------------------------------
% 1.47/0.78  % (1886988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.78  % (1886988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.78  % (1886988)CaDiCaL version: 2.1.3
% 1.47/0.78  % (1886988)Termination reason: Instruction limit
% 1.47/0.78  % (1886988)Termination phase: Saturation
% 1.47/0.78  % (1886988)Time elapsed: 0.083 s
% 1.47/0.78  % (1886988)Peak memory usage: 13 MB
% 1.47/0.78  % (1886988)Instructions burned: 132 (million)
% 1.47/0.78  % (1886989)Instruction limit reached! 
% 1.47/0.78  % (1886989)------------------------------
% 1.47/0.78  % (1886989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.78  % (1886989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.78  % (1886989)CaDiCaL version: 2.1.3
% 1.47/0.78  % (1886989)Termination reason: Instruction limit
% 1.47/0.78  % (1886989)Termination phase: Saturation
% 1.47/0.78  % (1886989)Time elapsed: 0.096 s
% 1.47/0.78  % (1886989)Peak memory usage: 13 MB
% 1.47/0.78  % (1886989)Instructions burned: 160 (million)
% 1.47/0.78  % (1887020)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=26071358:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.47/0.78  % (1887023)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=2579763592:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.47/0.78  % (1887029)ott-21_1_sil=16000:fs=off:random_seed=1177323815:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.47/0.78  % TRYING [5]
% 1.47/0.78  % (1887020)Instruction limit reached! 
% 1.47/0.78  % (1887020)------------------------------
% 1.47/0.78  % (1887020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.78  % (1887020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.78  % (1887020)CaDiCaL version: 2.1.3
% 1.47/0.78  % (1887020)Termination reason: Instruction limit
% 1.47/0.78  % (1887020)Termination phase: Saturation
% 1.47/0.78  % (1887020)Time elapsed: 0.080 s
% 1.47/0.78  % (1887020)Peak memory usage: 13 MB
% 1.47/0.78  % (1887020)Instructions burned: 132 (million)
% 1.47/0.78  % (1887056)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4148204436:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.47/0.78  % (1887029)Instruction limit reached! 
% 1.47/0.78  % (1887029)------------------------------
% 1.47/0.78  % (1887029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.78  % (1887029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.78  % (1887029)CaDiCaL version: 2.1.3
% 1.47/0.78  % (1887029)Termination reason: Instruction limit
% 1.47/0.78  % (1887029)Termination phase: Saturation
% 1.47/0.78  % (1887029)Time elapsed: 0.098 s
% 1.47/0.78  % (1887029)Peak memory usage: 12 MB
% 1.47/0.78  % (1887029)Instructions burned: 181 (million)
% 1.47/0.78  % (1887064)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3367723223:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.47/0.78  % TRYING [1]
% 1.47/0.78  % TRYING [2]
% 1.47/0.78  % TRYING [3]
% 1.47/0.78  % TRYING [4]
% 1.47/0.78  % (1887005)Instruction limit reached! 
% 1.47/0.78  % (1887005)------------------------------
% 1.47/0.78  % (1887005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.78  % (1887005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.78  % (1887005)CaDiCaL version: 2.1.3
% 1.47/0.78  % (1887005)Termination reason: Instruction limit
% 1.47/0.78  % (1887005)Termination phase: Finite model building SAT solving
% 1.47/0.78  % (1887005)Time elapsed: 0.216 s
% 1.47/0.78  % (1887005)Peak memory usage: 16 MB
% 1.47/0.78  % (1887005)Instructions burned: 716 (million)
% 1.47/0.78  % (1887079)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1343658619:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 1.47/0.78  % (1887023) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1886972-1887023"...
% 1.47/0.78  % (1887023)...printing done.
% 1.47/0.78  % (1887023)Refutation found. Thanks to Tanya!
% 1.47/0.78  % SZS status Theorem for theBenchmark
% 1.47/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.78  % (1887023)------------------------------
% 1.47/0.78  % (1887023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.78  % (1887023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.78  % (1887023)CaDiCaL version: 2.1.3
% 1.47/0.78  % (1887023)Termination reason: Refutation
% 1.47/0.78  % (1887023)Time elapsed: 0.182 s
% 1.47/0.79  % (1887023)Peak memory usage: 15 MB
% 1.47/0.79  % (1887023)Instructions burned: 356 (million)
% 1.47/0.79  % (1886972)Success in time 0.33 s
% 1.47/0.79  % Vampire exiting
%------------------------------------------------------------------------------