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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP006+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:33:59 AM UTC 2026

% Result   : Theorem 8.13s 1.75s
% Output   : Refutation 8.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   71 (  16 unt;   5 def)
%            Number of atoms       :  362 (   6 equ)
%            Maximal formula atoms :   38 (   5 avg)
%            Number of connectives :  494 ( 203   ~; 185   |;  41   &)
%                                         (  23 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :  165 (   0 sgn 143   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).

fof(f40,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ! [X2] :
              ( mem(X2,arr(X0,X1))
             => ! [X3] :
                  ( mem(X3,arr(X1,bool))
                 => ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(X0,X1),X2),X3))
                    <=> ! [X4] :
                          ( mem(X4,X1)
                         => ( p(ap(X3,X4))
                           => ? [X5] :
                                ( mem(X5,X0)
                                & p(ap(X3,ap(X2,X5))) ) ) ) )
                    & ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(X0,X1),X2),X3))
                    <=> ! [X6] :
                          ( mem(X6,X1)
                         => ( ~ p(ap(X3,X6))
                           => ? [X7] :
                                ( mem(X7,X0)
                                & ~ p(ap(X3,ap(X2,X7))) ) ) ) )
                    & ! [X8] :
                        ( mem(X8,arr(X0,X1))
                       => ! [X9] :
                            ( mem(X9,arr(X1,bool))
                           => ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(X0,X1),X8),X9))
                            <=> ! [X10] :
                                  ( mem(X10,X0)
                                 => p(ap(X9,ap(X8,X10))) ) ) ) )
                    & ! [X11] :
                        ( mem(X11,arr(X0,X1))
                       => ! [X12] :
                            ( mem(X12,arr(X1,bool))
                           => ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X11),X12))
                            <=> ! [X13] :
                                  ( mem(X13,X0)
                                 => ~ p(ap(X12,ap(X11,X13))) ) ) ) )
                    & ! [X14] :
                        ( mem(X14,arr(X0,X1))
                       => ! [X15] :
                            ( mem(X15,arr(X1,bool))
                           => ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(X0,X1),X14),X15))
                            <=> ! [X16] :
                                  ( mem(X16,X1)
                                 => ( p(ap(X15,X16))
                                   => ? [X17] :
                                        ( mem(X17,X0)
                                        & X16 = ap(X14,X17) ) ) ) ) ) )
                    & ! [X18] :
                        ( mem(X18,arr(X0,X1))
                       => ! [X19] :
                            ( mem(X19,arr(X1,bool))
                           => ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(X0,X1),X18),X19))
                            <=> ! [X20] :
                                  ( mem(X20,X1)
                                 => ( ~ p(ap(X19,X20))
                                   => ? [X21] :
                                        ( mem(X21,X0)
                                        & X20 = ap(X18,X21) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__REWRITES) ).

fof(f52,conjecture,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ! [X2] :
              ( mem(X2,arr(X1,X0))
             => ! [X3] :
                  ( mem(X3,arr(X0,bool))
                 => ! [X4] :
                      ( mem(X4,arr(X0,bool))
                     => ( ! [X5] :
                            ( mem(X5,X0)
                           => ( p(ap(X4,X5))
                             => p(ap(X3,X5)) ) )
                       => ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X3))
                         => p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X4)) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).

fof(f53,negated_conjecture,
    ~ ! [X0] :
        ( ne(X0)
       => ! [X1] :
            ( ne(X1)
           => ! [X2] :
                ( mem(X2,arr(X1,X0))
               => ! [X3] :
                    ( mem(X3,arr(X0,bool))
                   => ! [X4] :
                        ( mem(X4,arr(X0,bool))
                       => ( ! [X5] :
                              ( mem(X5,X0)
                             => ( p(ap(X4,X5))
                               => p(ap(X3,X5)) ) )
                         => ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X3))
                           => p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X4)) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f52]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( mem(ap(X2,X3),X1)
          | ~ mem(X3,X0) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f86,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(X0,X1),X2),X3))
                    <=> ! [X4] :
                          ( ? [X5] :
                              ( mem(X5,X0)
                              & p(ap(X3,ap(X2,X5))) )
                          | ~ p(ap(X3,X4))
                          | ~ mem(X4,X1) ) )
                    & ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(X0,X1),X2),X3))
                    <=> ! [X6] :
                          ( ? [X7] :
                              ( mem(X7,X0)
                              & ~ p(ap(X3,ap(X2,X7))) )
                          | p(ap(X3,X6))
                          | ~ mem(X6,X1) ) )
                    & ! [X8] :
                        ( ! [X9] :
                            ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(X0,X1),X8),X9))
                            <=> ! [X10] :
                                  ( p(ap(X9,ap(X8,X10)))
                                  | ~ mem(X10,X0) ) )
                            | ~ mem(X9,arr(X1,bool)) )
                        | ~ mem(X8,arr(X0,X1)) )
                    & ! [X11] :
                        ( ! [X12] :
                            ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X11),X12))
                            <=> ! [X13] :
                                  ( ~ p(ap(X12,ap(X11,X13)))
                                  | ~ mem(X13,X0) ) )
                            | ~ mem(X12,arr(X1,bool)) )
                        | ~ mem(X11,arr(X0,X1)) )
                    & ! [X14] :
                        ( ! [X15] :
                            ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(X0,X1),X14),X15))
                            <=> ! [X16] :
                                  ( ? [X17] :
                                      ( mem(X17,X0)
                                      & X16 = ap(X14,X17) )
                                  | ~ p(ap(X15,X16))
                                  | ~ mem(X16,X1) ) )
                            | ~ mem(X15,arr(X1,bool)) )
                        | ~ mem(X14,arr(X0,X1)) )
                    & ! [X18] :
                        ( ! [X19] :
                            ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(X0,X1),X18),X19))
                            <=> ! [X20] :
                                  ( ? [X21] :
                                      ( mem(X21,X0)
                                      & X20 = ap(X18,X21) )
                                  | p(ap(X19,X20))
                                  | ~ mem(X20,X1) ) )
                            | ~ mem(X19,arr(X1,bool)) )
                        | ~ mem(X18,arr(X0,X1)) ) )
                  | ~ mem(X3,arr(X1,bool)) )
              | ~ mem(X2,arr(X0,X1)) )
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f87,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS(X0,X1),X2),X3))
                    <=> ! [X4] :
                          ( ? [X5] :
                              ( mem(X5,X0)
                              & p(ap(X3,ap(X2,X5))) )
                          | ~ p(ap(X3,X4))
                          | ~ mem(X4,X1) ) )
                    & ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL(X0,X1),X2),X3))
                    <=> ! [X6] :
                          ( ? [X7] :
                              ( mem(X7,X0)
                              & ~ p(ap(X3,ap(X2,X7))) )
                          | p(ap(X3,X6))
                          | ~ mem(X6,X1) ) )
                    & ! [X8] :
                        ( ! [X9] :
                            ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__POINT(X0,X1),X8),X9))
                            <=> ! [X10] :
                                  ( p(ap(X9,ap(X8,X10)))
                                  | ~ mem(X10,X0) ) )
                            | ~ mem(X9,arr(X1,bool)) )
                        | ~ mem(X8,arr(X0,X1)) )
                    & ! [X11] :
                        ( ! [X12] :
                            ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X11),X12))
                            <=> ! [X13] :
                                  ( ~ p(ap(X12,ap(X11,X13)))
                                  | ~ mem(X13,X0) ) )
                            | ~ mem(X12,arr(X1,bool)) )
                        | ~ mem(X11,arr(X0,X1)) )
                    & ! [X14] :
                        ( ! [X15] :
                            ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__EXISTS__GAP(X0,X1),X14),X15))
                            <=> ! [X16] :
                                  ( ? [X17] :
                                      ( mem(X17,X0)
                                      & X16 = ap(X14,X17) )
                                  | ~ p(ap(X15,X16))
                                  | ~ mem(X16,X1) ) )
                            | ~ mem(X15,arr(X1,bool)) )
                        | ~ mem(X14,arr(X0,X1)) )
                    & ! [X18] :
                        ( ! [X19] :
                            ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__GAP(X0,X1),X18),X19))
                            <=> ! [X20] :
                                  ( ? [X21] :
                                      ( mem(X21,X0)
                                      & X20 = ap(X18,X21) )
                                  | p(ap(X19,X20))
                                  | ~ mem(X20,X1) ) )
                            | ~ mem(X19,arr(X1,bool)) )
                        | ~ mem(X18,arr(X0,X1)) ) )
                  | ~ mem(X3,arr(X1,bool)) )
              | ~ mem(X2,arr(X0,X1)) )
          | ~ ne(X1) )
      | ~ ne(X0) ),
    inference(flattening,[],[f86]) ).

fof(f105,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X4))
                      & p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X3))
                      & ! [X5] :
                          ( p(ap(X3,X5))
                          | ~ p(ap(X4,X5))
                          | ~ mem(X5,X0) )
                      & mem(X4,arr(X0,bool)) )
                  & mem(X3,arr(X0,bool)) )
              & mem(X2,arr(X1,X0)) )
          & ne(X1) )
      & ne(X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f106,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X4))
                      & p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X3))
                      & ! [X5] :
                          ( p(ap(X3,X5))
                          | ~ p(ap(X4,X5))
                          | ~ mem(X5,X0) )
                      & mem(X4,arr(X0,bool)) )
                  & mem(X3,arr(X0,bool)) )
              & mem(X2,arr(X1,X0)) )
          & ne(X1) )
      & ne(X0) ),
    inference(flattening,[],[f105]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1] :
      ( mem(ap(X2,X3),X1)
      | ~ mem(X3,X0)
      | ~ mem(X2,arr(X0,X1)) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f178,plain,
    ! [X2,X3,X0,X11,X1,X12,X13] :
      ( ~ p(ap(X12,ap(X11,X13)))
      | ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X11),X12))
      | ~ mem(X3,arr(X1,bool))
      | ~ mem(X2,arr(X0,X1))
      | ~ mem(X13,X0)
      | ~ mem(X12,arr(X1,bool))
      | ~ mem(X11,arr(X0,X1))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f179,plain,
    ! [X2,X3,X0,X11,X1,X12] :
      ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X11),X12))
      | ~ ne(X1)
      | ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,arr(X1,bool))
      | ~ mem(X11,arr(X0,X1))
      | ~ mem(X12,arr(X1,bool))
      | mem(sK11(X0,X11,X12),X0)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f180,plain,
    ! [X2,X3,X0,X11,X1,X12] :
      ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X11),X12))
      | ~ ne(X1)
      | ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,arr(X1,bool))
      | ~ mem(X11,arr(X0,X1))
      | ~ mem(X12,arr(X1,bool))
      | p(ap(X12,ap(X11,sK11(X0,X11,X12))))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f258,plain,
    ! [X5] :
      ( p(ap(sK25,X5))
      | ~ p(ap(sK26,X5))
      | ~ mem(X5,sK22) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f259,plain,
    mem(sK26,arr(sK22,bool)),
    inference(cnf_transformation,[],[f106]) ).

fof(f260,plain,
    p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK23,sK22),sK24),sK25)),
    inference(cnf_transformation,[],[f106]) ).

fof(f261,plain,
    ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK23,sK22),sK24),sK26)),
    inference(cnf_transformation,[],[f106]) ).

fof(f262,plain,
    mem(sK25,arr(sK22,bool)),
    inference(cnf_transformation,[],[f106]) ).

fof(f263,plain,
    mem(sK24,arr(sK23,sK22)),
    inference(cnf_transformation,[],[f106]) ).

fof(f264,plain,
    ne(sK23),
    inference(cnf_transformation,[],[f106]) ).

fof(f265,plain,
    ne(sK22),
    inference(cnf_transformation,[],[f106]) ).

fof(f1074,plain,
    ! [X0,X1] :
      ( ~ ne(sK22)
      | ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(sK24,arr(sK23,sK22))
      | ~ mem(sK26,arr(sK22,bool))
      | mem(sK11(sK23,sK24,sK26),sK23)
      | ~ ne(sK23) ),
    inference(resolution,[],[f179,f261]) ).

fof(f1075,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(sK24,arr(sK23,sK22))
      | ~ mem(sK26,arr(sK22,bool))
      | mem(sK11(sK23,sK24,sK26),sK23)
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1074,f265]) ).

fof(f1076,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(sK26,arr(sK22,bool))
      | mem(sK11(sK23,sK24,sK26),sK23)
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1075,f263]) ).

fof(f1077,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | mem(sK11(sK23,sK24,sK26),sK23)
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1076,f259]) ).

fof(f1078,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | mem(sK11(sK23,sK24,sK26),sK23) ),
    inference(forward_subsumption_resolution,[],[f1077,f264]) ).

fof(f1080,definition,
    ( spl27_7
  <=> mem(sK11(sK23,sK24,sK26),sK23) ),
    introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).

fof(f1082,plain,
    ( mem(sK11(sK23,sK24,sK26),sK23)
    | ~ spl27_7 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1084,definition,
    ( spl27_8
  <=> ! [X1] : ~ mem(X1,arr(sK22,bool)) ),
    introduced(definition,[new_symbols(definition,[spl27_8])],[avatar_definition]) ).

fof(f1085,plain,
    ( ! [X1] : ~ mem(X1,arr(sK22,bool))
    | ~ spl27_8 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f1087,definition,
    ( spl27_9
  <=> ! [X0] : ~ mem(X0,arr(sK23,sK22)) ),
    introduced(definition,[new_symbols(definition,[spl27_9])],[avatar_definition]) ).

fof(f1088,plain,
    ( ! [X0] : ~ mem(X0,arr(sK23,sK22))
    | ~ spl27_9 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1089,plain,
    ( spl27_7
    | spl27_8
    | spl27_9 ),
    inference(avatar_split_clause,[],[f1078,f1087,f1084,f1080]) ).

fof(f1212,plain,
    ! [X2,X0,X1] :
      ( ~ p(ap(sK25,ap(sK24,X0)))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(X2,arr(sK23,sK22))
      | ~ mem(X0,sK23)
      | ~ mem(sK25,arr(sK22,bool))
      | ~ mem(sK24,arr(sK23,sK22))
      | ~ ne(sK22)
      | ~ ne(sK23) ),
    inference(resolution,[],[f178,f260]) ).

fof(f1317,plain,
    ! [X2,X0,X1] :
      ( ~ p(ap(sK25,ap(sK24,X0)))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(X2,arr(sK23,sK22))
      | ~ mem(X0,sK23)
      | ~ mem(sK24,arr(sK23,sK22))
      | ~ ne(sK22)
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1212,f262]) ).

fof(f1318,plain,
    ! [X2,X0,X1] :
      ( ~ p(ap(sK25,ap(sK24,X0)))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(X2,arr(sK23,sK22))
      | ~ mem(X0,sK23)
      | ~ ne(sK22)
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1317,f263]) ).

fof(f1319,plain,
    ! [X2,X0,X1] :
      ( ~ p(ap(sK25,ap(sK24,X0)))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(X2,arr(sK23,sK22))
      | ~ mem(X0,sK23)
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1318,f265]) ).

fof(f1320,plain,
    ! [X2,X0,X1] :
      ( ~ p(ap(sK25,ap(sK24,X0)))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(X2,arr(sK23,sK22))
      | ~ mem(X0,sK23) ),
    inference(forward_subsumption_resolution,[],[f1319,f264]) ).

fof(f1322,definition,
    ( spl27_10
  <=> ! [X0] :
        ( ~ p(ap(sK25,ap(sK24,X0)))
        | ~ mem(X0,sK23) ) ),
    introduced(definition,[new_symbols(definition,[spl27_10])],[avatar_definition]) ).

fof(f1323,plain,
    ( ! [X0] :
        ( ~ p(ap(sK25,ap(sK24,X0)))
        | ~ mem(X0,sK23) )
    | ~ spl27_10 ),
    inference(avatar_component_clause,[],[f1322]) ).

fof(f1324,plain,
    ( spl27_9
    | spl27_8
    | spl27_10 ),
    inference(avatar_split_clause,[],[f1320,f1322,f1084,f1087]) ).

fof(f1326,plain,
    ! [X0,X1] :
      ( ~ ne(sK22)
      | ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(sK24,arr(sK23,sK22))
      | ~ mem(sK26,arr(sK22,bool))
      | p(ap(sK26,ap(sK24,sK11(sK23,sK24,sK26))))
      | ~ ne(sK23) ),
    inference(resolution,[],[f180,f261]) ).

fof(f1329,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(sK24,arr(sK23,sK22))
      | ~ mem(sK26,arr(sK22,bool))
      | p(ap(sK26,ap(sK24,sK11(sK23,sK24,sK26))))
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1326,f265]) ).

fof(f1330,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | ~ mem(sK26,arr(sK22,bool))
      | p(ap(sK26,ap(sK24,sK11(sK23,sK24,sK26))))
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1329,f263]) ).

fof(f1331,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | p(ap(sK26,ap(sK24,sK11(sK23,sK24,sK26))))
      | ~ ne(sK23) ),
    inference(forward_subsumption_resolution,[],[f1330,f259]) ).

fof(f1332,plain,
    ! [X0,X1] :
      ( ~ mem(X0,arr(sK23,sK22))
      | ~ mem(X1,arr(sK22,bool))
      | p(ap(sK26,ap(sK24,sK11(sK23,sK24,sK26)))) ),
    inference(forward_subsumption_resolution,[],[f1331,f264]) ).

fof(f1333,plain,
    ( $false
    | ~ spl27_8 ),
    inference(resolution,[],[f1085,f259]) ).

fof(f1344,plain,
    ~ spl27_8,
    inference(avatar_contradiction_clause,[],[f1333]) ).

fof(f1346,plain,
    ( $false
    | ~ spl27_9 ),
    inference(resolution,[],[f1088,f263]) ).

fof(f1355,plain,
    ~ spl27_9,
    inference(avatar_contradiction_clause,[],[f1346]) ).

fof(f1357,plain,
    ( ! [X0] :
        ( ~ p(ap(sK26,ap(sK24,X0)))
        | ~ mem(X0,sK23)
        | ~ mem(ap(sK24,X0),sK22) )
    | ~ spl27_10 ),
    inference(resolution,[],[f1323,f258]) ).

fof(f1646,definition,
    ( spl27_11
  <=> p(ap(sK26,ap(sK24,sK11(sK23,sK24,sK26)))) ),
    introduced(definition,[new_symbols(definition,[spl27_11])],[avatar_definition]) ).

fof(f1648,plain,
    ( p(ap(sK26,ap(sK24,sK11(sK23,sK24,sK26))))
    | ~ spl27_11 ),
    inference(avatar_component_clause,[],[f1646]) ).

fof(f1649,plain,
    ( spl27_11
    | spl27_8
    | spl27_9 ),
    inference(avatar_split_clause,[],[f1332,f1087,f1084,f1646]) ).

fof(f2352,plain,
    ( ~ mem(sK11(sK23,sK24,sK26),sK23)
    | ~ mem(ap(sK24,sK11(sK23,sK24,sK26)),sK22)
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(resolution,[],[f1357,f1648]) ).

fof(f2394,plain,
    ( ~ mem(ap(sK24,sK11(sK23,sK24,sK26)),sK22)
    | ~ spl27_7
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(forward_subsumption_resolution,[],[f2352,f1082]) ).

fof(f2408,plain,
    ( ! [X0] :
        ( ~ mem(sK11(sK23,sK24,sK26),X0)
        | ~ mem(sK24,arr(X0,sK22)) )
    | ~ spl27_7
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(resolution,[],[f2394,f110]) ).

fof(f2418,plain,
    ( ~ mem(sK24,arr(sK23,sK22))
    | ~ spl27_7
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(resolution,[],[f2408,f1082]) ).

fof(f2419,plain,
    ( $false
    | ~ spl27_7
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(forward_subsumption_resolution,[],[f2418,f263]) ).

fof(f2420,plain,
    ( ~ spl27_7
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(avatar_contradiction_clause,[],[f2419]) ).

cnf(s4,plain,
    ( spl27_7
    | spl27_8
    | spl27_9 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s5,plain,
    ( spl27_8
    | spl27_9
    | spl27_10 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s7,plain,
    ~ spl27_8,
    inference(sat_conversion,[],[f1344]) ).

cnf(s8,plain,
    ~ spl27_9,
    inference(sat_conversion,[],[f1355]) ).

cnf(s9,plain,
    ( spl27_8
    | spl27_9
    | spl27_11 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s11,plain,
    ( ~ spl27_7
    | ~ spl27_10
    | ~ spl27_11 ),
    inference(sat_conversion,[],[f2420]) ).

cnf(s12,plain,
    spl27_11,
    inference(rat,[],[s9,s8,s7]) ).

cnf(s13,plain,
    spl27_10,
    inference(rat,[],[s5,s8,s7]) ).

cnf(s14,plain,
    ~ spl27_7,
    inference(rat,[],[s11,s12,s13]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s4,s8,s7,s14]) ).

fof(f2421,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP006+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n011.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 11:52:45 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  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
% 8.13/1.75  % (2261874)Will run a generic schedule for satisfiability detection.
% 8.13/1.75  % (2261881)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3471898261:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.13/1.75  % (2261880)% WARNING: option uhcvi not known.
% 8.13/1.75  % (2261880)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=780639037:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.13/1.75  % (2261879)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3947900920_2999 on theBenchmark for (2999ds/0Mi)
% 8.13/1.75  % (2261884)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=68086441:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.13/1.75  % (2261882)dis+10_1_sil=32000:sp=arity:random_seed=1821352509:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.13/1.75  % (2261883)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2362403432:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.13/1.75  % (2261885)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3657312449:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.13/1.75  % TRYING [1]
% 8.13/1.75  % TRYING [2]
% 8.13/1.75  % TRYING [3]
% 8.13/1.75  % (2261882)Instruction limit reached! 
% 8.13/1.75  % (2261882)------------------------------
% 8.13/1.75  % (2261882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261882)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261882)Termination reason: Instruction limit
% 8.13/1.75  % (2261882)Termination phase: Saturation
% 8.13/1.75  % (2261882)Time elapsed: 0.068 s
% 8.13/1.75  % (2261882)Peak memory usage: 13 MB
% 8.13/1.75  % (2261882)Instructions burned: 104 (million)
% 8.13/1.75  % (2261883)Instruction limit reached! 
% 8.13/1.75  % (2261883)------------------------------
% 8.13/1.75  % (2261883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261883)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261883)Termination reason: Instruction limit
% 8.13/1.75  % (2261883)Termination phase: Saturation
% 8.13/1.75  % (2261883)Time elapsed: 0.070 s
% 8.13/1.75  % (2261883)Peak memory usage: 13 MB
% 8.13/1.75  % (2261883)Instructions burned: 117 (million)
% 8.13/1.75  % (2261884)Instruction limit reached! 
% 8.13/1.75  % (2261884)------------------------------
% 8.13/1.75  % (2261884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261884)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261884)Termination reason: Instruction limit
% 8.13/1.75  % (2261884)Termination phase: Saturation
% 8.13/1.75  % (2261884)Time elapsed: 0.070 s
% 8.13/1.75  % (2261884)Peak memory usage: 14 MB
% 8.13/1.75  % (2261884)Instructions burned: 133 (million)
% 8.13/1.75  % TRYING [4]
% 8.13/1.75  % (2261893)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=501981287:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.13/1.75  % (2261895)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=1018336021:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.13/1.75  % (2261894)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3701284638:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.13/1.75  % (2261885)Instruction limit reached! 
% 8.13/1.75  % (2261885)------------------------------
% 8.13/1.75  % (2261885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261885)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261885)Termination reason: Instruction limit
% 8.13/1.75  % (2261885)Termination phase: Saturation
% 8.13/1.75  % (2261885)Time elapsed: 0.097 s
% 8.13/1.75  % (2261885)Peak memory usage: 14 MB
% 8.13/1.75  % (2261885)Instructions burned: 160 (million)
% 8.13/1.75  % TRYING [1]
% 8.13/1.75  % TRYING [2]
% 8.13/1.75  % TRYING [3]
% 8.13/1.75  % (2261899)ott-21_1_sil=16000:fs=off:random_seed=2486967486:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.13/1.75  % TRYING [4]
% 8.13/1.75  % (2261894)Instruction limit reached! 
% 8.13/1.75  % (2261894)------------------------------
% 8.13/1.75  % (2261894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261894)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261894)Termination reason: Instruction limit
% 8.13/1.75  % (2261894)Termination phase: Saturation
% 8.13/1.75  % (2261894)Time elapsed: 0.073 s
% 8.13/1.75  % (2261894)Peak memory usage: 14 MB
% 8.13/1.75  % (2261894)Instructions burned: 131 (million)
% 8.13/1.75  % (2261901)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2362665158:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.13/1.75  % TRYING [5]
% 8.13/1.75  % (2261899)Instruction limit reached! 
% 8.13/1.75  % (2261899)------------------------------
% 8.13/1.75  % (2261899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261899)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261899)Termination reason: Instruction limit
% 8.13/1.75  % (2261899)Termination phase: Saturation
% 8.13/1.75  % (2261899)Time elapsed: 0.097 s
% 8.13/1.75  % (2261899)Peak memory usage: 13 MB
% 8.13/1.75  % (2261899)Instructions burned: 180 (million)
% 8.13/1.75  % (2261903)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1208218811:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.13/1.75  % TRYING [1]
% 8.13/1.75  % TRYING [2]
% 8.13/1.75  % TRYING [3]
% 8.13/1.75  % TRYING [4]
% 8.13/1.75  % (2261893)Instruction limit reached! 
% 8.13/1.75  % (2261893)------------------------------
% 8.13/1.75  % (2261893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261893)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261893)Termination reason: Instruction limit
% 8.13/1.75  % (2261893)Termination phase: Finite model building SAT solving
% 8.13/1.75  % (2261893)Time elapsed: 0.352 s
% 8.13/1.75  % (2261893)Peak memory usage: 34 MB
% 8.13/1.75  % (2261893)Instructions burned: 714 (million)
% 8.13/1.75  % (2261905)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2171922915:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 8.13/1.75  % (2261901)Instruction limit reached! 
% 8.13/1.75  % (2261901)------------------------------
% 8.13/1.75  % (2261901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261901)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261901)Termination reason: Instruction limit
% 8.13/1.75  % (2261901)Termination phase: Saturation
% 8.13/1.75  % (2261901)Time elapsed: 0.315 s
% 8.13/1.75  % (2261901)Peak memory usage: 14 MB
% 8.13/1.75  % (2261901)Instructions burned: 477 (million)
% 8.13/1.75  % (2261895)Instruction limit reached! 
% 8.13/1.75  % (2261895)------------------------------
% 8.13/1.75  % (2261895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261895)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261895)Termination reason: Instruction limit
% 8.13/1.75  % (2261895)Termination phase: Saturation
% 8.13/1.75  % (2261895)Time elapsed: 0.417 s
% 8.13/1.75  % (2261895)Peak memory usage: 18 MB
% 8.13/1.75  % (2261895)Instructions burned: 685 (million)
% 8.13/1.75  % (2261907)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3976784634:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.13/1.75  % (2261908)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=526390354:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.13/1.75  % TRYING [6]
% 8.13/1.75  % (2261903)Instruction limit reached! 
% 8.13/1.75  % (2261903)------------------------------
% 8.13/1.75  % (2261903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261903)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261903)Termination reason: Instruction limit
% 8.13/1.75  % (2261903)Termination phase: Finite model building SAT solving
% 8.13/1.75  % (2261903)Time elapsed: 0.354 s
% 8.13/1.75  % (2261903)Peak memory usage: 29 MB
% 8.13/1.75  % (2261903)Instructions burned: 865 (million)
% 8.13/1.75  % (2261911)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=170880599:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.13/1.75  % (2261908)Instruction limit reached! 
% 8.13/1.75  % (2261908)------------------------------
% 8.13/1.75  % (2261908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261908)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261908)Termination reason: Instruction limit
% 8.13/1.75  % (2261908)Termination phase: Saturation
% 8.13/1.75  % (2261908)Time elapsed: 0.339 s
% 8.13/1.75  % (2261908)Peak memory usage: 18 MB
% 8.13/1.75  % (2261908)Instructions burned: 692 (million)
% 8.13/1.75  % (2261913)fmb+10_1_sil=64000:random_seed=3550617540:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 8.13/1.75  % TRYING [1]
% 8.13/1.75  % TRYING [2]
% 8.13/1.75  % (2261907)Instruction limit reached! 
% 8.13/1.75  % (2261907)------------------------------
% 8.13/1.75  % (2261907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261907)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261907)Termination reason: Instruction limit
% 8.13/1.75  % (2261907)Termination phase: Finite model building constraint generation
% 8.13/1.75  % (2261907)Time elapsed: 0.405 s
% 8.13/1.75  % (2261907)Peak memory usage: 102 MB
% 8.13/1.75  % (2261907)Instructions burned: 890 (million)
% 8.13/1.75  % TRYING [3]
% 8.13/1.75  % (2261915)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3095041803:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.13/1.75  % TRYING [20]
% 8.13/1.75  % TRYING [4]
% 8.13/1.75  % (2261911)Instruction limit reached! 
% 8.13/1.75  % (2261911)------------------------------
% 8.13/1.75  % (2261911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261911)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261911)Termination reason: Instruction limit
% 8.13/1.75  % (2261911)Termination phase: Saturation
% 8.13/1.75  % (2261911)Time elapsed: 0.468 s
% 8.13/1.75  % (2261911)Peak memory usage: 19 MB
% 8.13/1.75  % (2261911)Instructions burned: 880 (million)
% 8.13/1.75  % (2261917)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4184244359:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 8.13/1.75  % (2261905)Instruction limit reached! 
% 8.13/1.75  % (2261905)------------------------------
% 8.13/1.75  % (2261905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261905)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261905)Termination reason: Instruction limit
% 8.13/1.75  % (2261905)Termination phase: Saturation
% 8.13/1.75  % (2261905)Time elapsed: 0.662 s
% 8.13/1.75  % (2261905)Peak memory usage: 22 MB
% 8.13/1.75  % (2261905)Instructions burned: 1180 (million)
% 8.13/1.75  % TRYING [8]
% 8.13/1.75  % (2261919)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4020148774:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 8.13/1.75  % (2261919) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2261874-2261919"...
% 8.13/1.75  % (2261919)...printing done.
% 8.13/1.75  % (2261919)Refutation found. Thanks to Tanya!
% 8.13/1.75  % SZS status Theorem for theBenchmark
% 8.13/1.75  % SZS output start Proof for theBenchmark
% See solution above
% 8.13/1.75  % (2261919)------------------------------
% 8.13/1.75  % (2261919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.13/1.75  % (2261919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/1.75  % (2261919)CaDiCaL version: 2.1.3
% 8.13/1.75  % (2261919)Termination reason: Refutation
% 8.13/1.75  % (2261919)Time elapsed: 0.116 s
% 8.13/1.75  % (2261919)Peak memory usage: 14 MB
% 8.13/1.75  % (2261919)Instructions burned: 210 (million)
% 8.13/1.75  % (2261874)Success in time 1.324 s
% 8.13/1.75  % Vampire exiting
%------------------------------------------------------------------------------