TSTP Solution File: SET742+4 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SET742+4 : TPTP v8.2.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 14:53:28 EDT 2024

% Result   : Theorem 3.00s 0.81s
% Output   : Refutation 3.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  145 (  12 unt;   0 def)
%            Number of atoms       :  565 (  27 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  676 ( 256   ~; 234   |; 139   &)
%                                         (  20 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   3 prp; 0-5 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-5 aty)
%            Number of variables   :  456 ( 407   !;  49   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1029,plain,
    $false,
    inference(avatar_sat_refutation,[],[f123,f606,f1021]) ).

fof(f1021,plain,
    ~ spl16_2,
    inference(avatar_contradiction_clause,[],[f1020]) ).

fof(f1020,plain,
    ( $false
    | ~ spl16_2 ),
    inference(subsumption_resolution,[],[f1008,f644]) ).

fof(f644,plain,
    ( ~ apply(sK0,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK11(sK0,sK3,sK4))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f122,f623,f112]) ).

fof(f112,plain,
    ! [X2,X0,X1,X4] :
      ( ~ surjective(X0,X1,X2)
      | ~ apply(X0,X4,sK11(X0,X1,X2))
      | ~ member(X4,X1) ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f93,plain,
    ! [X2,X0,X1,X4] :
      ( surjective(X0,X1,X2)
      | ~ apply(X0,X4,sK11(X0,X1,X2))
      | ~ member(X4,X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ( surjective(X0,X1,X2)
        | ( ! [X4] :
              ( ~ apply(X0,X4,sK11(X0,X1,X2))
              | ~ member(X4,X1) )
          & member(sK11(X0,X1,X2),X2) ) )
      & ( ! [X5] :
            ( ( apply(X0,sK12(X0,X1,X5),X5)
              & member(sK12(X0,X1,X5),X1) )
            | ~ member(X5,X2) )
        | ~ surjective(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f63,f65,f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ! [X4] :
              ( ~ apply(X0,X4,X3)
              | ~ member(X4,X1) )
          & member(X3,X2) )
     => ( ! [X4] :
            ( ~ apply(X0,X4,sK11(X0,X1,X2))
            | ~ member(X4,X1) )
        & member(sK11(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0,X1,X5] :
      ( ? [X6] :
          ( apply(X0,X6,X5)
          & member(X6,X1) )
     => ( apply(X0,sK12(X0,X1,X5),X5)
        & member(sK12(X0,X1,X5),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( ( surjective(X0,X1,X2)
        | ? [X3] :
            ( ! [X4] :
                ( ~ apply(X0,X4,X3)
                | ~ member(X4,X1) )
            & member(X3,X2) ) )
      & ( ! [X5] :
            ( ? [X6] :
                ( apply(X0,X6,X5)
                & member(X6,X1) )
            | ~ member(X5,X2) )
        | ~ surjective(X0,X1,X2) ) ),
    inference(rectify,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( ( surjective(X0,X1,X2)
        | ? [X3] :
            ( ! [X4] :
                ( ~ apply(X0,X4,X3)
                | ~ member(X4,X1) )
            & member(X3,X2) ) )
      & ( ! [X3] :
            ( ? [X4] :
                ( apply(X0,X4,X3)
                & member(X4,X1) )
            | ~ member(X3,X2) )
        | ~ surjective(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( surjective(X0,X1,X2)
    <=> ! [X3] :
          ( ? [X4] :
              ( apply(X0,X4,X3)
              & member(X4,X1) )
          | ~ member(X3,X2) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( surjective(X0,X1,X2)
    <=> ! [X3] :
          ( member(X3,X2)
         => ? [X4] :
              ( apply(X0,X4,X3)
              & member(X4,X1) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X5,X0,X1] :
      ( surjective(X5,X0,X1)
    <=> ! [X4] :
          ( member(X4,X1)
         => ? [X3] :
              ( apply(X5,X3,X4)
              & member(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f623,plain,
    ( member(sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK3)
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f125,f611,f115]) ).

fof(f115,plain,
    ! [X2,X0,X1,X5] :
      ( member(sK12(X0,X1,X5),X1)
      | ~ member(X5,X2)
      | surjective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f90,plain,
    ! [X2,X0,X1,X5] :
      ( member(sK12(X0,X1,X5),X1)
      | ~ member(X5,X2)
      | ~ surjective(X0,X1,X2) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f611,plain,
    ( member(sK6(sK1,sK5,sK11(sK0,sK3,sK4)),sK5)
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f68,f607,f73]) ).

fof(f73,plain,
    ! [X2,X0,X1,X6] :
      ( member(sK6(X0,X2,X6),X2)
      | ~ member(X6,X1)
      | ~ maps(X0,X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( X4 = X5
            | ~ apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ member(X5,X2)
            | ~ member(X4,X2)
            | ~ member(X3,X1) )
        & ! [X6] :
            ( ( apply(X0,X6,sK6(X0,X2,X6))
              & member(sK6(X0,X2,X6),X2) )
            | ~ member(X6,X1) ) )
      | ~ maps(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f42,f50]) ).

fof(f50,plain,
    ! [X0,X2,X6] :
      ( ? [X7] :
          ( apply(X0,X6,X7)
          & member(X7,X2) )
     => ( apply(X0,X6,sK6(X0,X2,X6))
        & member(sK6(X0,X2,X6),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( X4 = X5
            | ~ apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ member(X5,X2)
            | ~ member(X4,X2)
            | ~ member(X3,X1) )
        & ! [X6] :
            ( ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) )
            | ~ member(X6,X1) ) )
      | ~ maps(X0,X1,X2) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( X4 = X5
            | ~ apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ member(X5,X2)
            | ~ member(X4,X2)
            | ~ member(X3,X1) )
        & ! [X6] :
            ( ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) )
            | ~ member(X6,X1) ) )
      | ~ maps(X0,X1,X2) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( maps(X0,X1,X2)
     => ( ! [X3,X4,X5] :
            ( ( member(X5,X2)
              & member(X4,X2)
              & member(X3,X1) )
           => ( ( apply(X0,X3,X5)
                & apply(X0,X3,X4) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( maps(X0,X1,X2)
    <=> ( ! [X3,X4,X5] :
            ( ( member(X5,X2)
              & member(X4,X2)
              & member(X3,X1) )
           => ( ( apply(X0,X3,X5)
                & apply(X0,X3,X4) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) ) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X5,X0,X1] :
      ( maps(X5,X0,X1)
    <=> ( ! [X2,X6,X7] :
            ( ( member(X7,X1)
              & member(X6,X1)
              & member(X2,X0) )
           => ( ( apply(X5,X2,X7)
                & apply(X5,X2,X6) )
             => X6 = X7 ) )
        & ! [X2] :
            ( member(X2,X0)
           => ? [X4] :
                ( apply(X5,X2,X4)
                & member(X4,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f607,plain,
    ( member(sK11(sK0,sK3,sK4),sK4)
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f122,f113]) ).

fof(f113,plain,
    ! [X2,X0,X1] :
      ( member(sK11(X0,X1,X2),X2)
      | ~ surjective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( surjective(X0,X1,X2)
      | member(sK11(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f68,plain,
    maps(sK1,sK4,sK5),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ~ one_to_one(sK0,sK3,sK4)
    & one_to_one(compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3)
    & one_to_one(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5)
    & maps(sK2,sK5,sK3)
    & maps(sK1,sK4,sK5)
    & maps(sK0,sK3,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f40,f48]) ).

fof(f48,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ one_to_one(X0,X3,X4)
        & one_to_one(compose_function(X2,X1,X4,X5,X3),X4,X3)
        & one_to_one(compose_function(X1,X0,X3,X4,X5),X3,X5)
        & maps(X2,X5,X3)
        & maps(X1,X4,X5)
        & maps(X0,X3,X4) )
   => ( ~ one_to_one(sK0,sK3,sK4)
      & one_to_one(compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3)
      & one_to_one(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5)
      & maps(sK2,sK5,sK3)
      & maps(sK1,sK4,sK5)
      & maps(sK0,sK3,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f40,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ one_to_one(X0,X3,X4)
      & one_to_one(compose_function(X2,X1,X4,X5,X3),X4,X3)
      & one_to_one(compose_function(X1,X0,X3,X4,X5),X3,X5)
      & maps(X2,X5,X3)
      & maps(X1,X4,X5)
      & maps(X0,X3,X4) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ one_to_one(X0,X3,X4)
      & one_to_one(compose_function(X2,X1,X4,X5,X3),X4,X3)
      & one_to_one(compose_function(X1,X0,X3,X4,X5),X3,X5)
      & maps(X2,X5,X3)
      & maps(X1,X4,X5)
      & maps(X0,X3,X4) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( one_to_one(compose_function(X2,X1,X4,X5,X3),X4,X3)
          & one_to_one(compose_function(X1,X0,X3,X4,X5),X3,X5)
          & maps(X2,X5,X3)
          & maps(X1,X4,X5)
          & maps(X0,X3,X4) )
       => one_to_one(X0,X3,X4) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X5,X9,X8,X0,X1,X10] :
        ( ( one_to_one(compose_function(X8,X9,X1,X10,X0),X1,X0)
          & one_to_one(compose_function(X9,X5,X0,X1,X10),X0,X10)
          & maps(X8,X10,X0)
          & maps(X9,X1,X10)
          & maps(X5,X0,X1) )
       => one_to_one(X5,X0,X1) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X5,X9,X8,X0,X1,X10] :
      ( ( one_to_one(compose_function(X8,X9,X1,X10,X0),X1,X0)
        & one_to_one(compose_function(X9,X5,X0,X1,X10),X0,X10)
        & maps(X8,X10,X0)
        & maps(X9,X1,X10)
        & maps(X5,X0,X1) )
     => one_to_one(X5,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f125,plain,
    ~ surjective(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5),
    inference(unit_resulting_resolution,[],[f70,f104]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( ~ one_to_one(X0,X1,X2)
      | ~ surjective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( surjective(X0,X1,X2)
      | ~ one_to_one(X0,X1,X2) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( one_to_one(X0,X1,X2)
        | ~ surjective(X0,X1,X2)
        | ~ injective(X0,X1,X2) )
      & ( ( surjective(X0,X1,X2)
          & injective(X0,X1,X2) )
        | ~ one_to_one(X0,X1,X2) ) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ( one_to_one(X0,X1,X2)
        | ~ surjective(X0,X1,X2)
        | ~ injective(X0,X1,X2) )
      & ( ( surjective(X0,X1,X2)
          & injective(X0,X1,X2) )
        | ~ one_to_one(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( one_to_one(X0,X1,X2)
    <=> ( surjective(X0,X1,X2)
        & injective(X0,X1,X2) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X5,X0,X1] :
      ( one_to_one(X5,X0,X1)
    <=> ( surjective(X5,X0,X1)
        & injective(X5,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f70,plain,
    one_to_one(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5),
    inference(cnf_transformation,[],[f49]) ).

fof(f122,plain,
    ( surjective(sK0,sK3,sK4)
    | ~ spl16_2 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f121,plain,
    ( spl16_2
  <=> surjective(sK0,sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).

fof(f1008,plain,
    ( apply(sK0,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK11(sK0,sK3,sK4))
    | ~ spl16_2 ),
    inference(backward_demodulation,[],[f641,f1002]) ).

fof(f1002,plain,
    ( sK11(sK0,sK3,sK4) = sK6(sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f607,f671,f633,f640,f812,f99]) ).

fof(f99,plain,
    ! [X0,X1,X8,X6,X7] :
      ( ~ sP15(X1,X0,X8)
      | ~ apply(X0,X7,X8)
      | ~ apply(X0,X6,X8)
      | ~ member(X7,X1)
      | ~ member(X6,X1)
      | X6 = X7 ),
    inference(general_splitting,[],[f83,f98_D]) ).

fof(f98,plain,
    ! [X2,X0,X1,X8] :
      ( ~ member(X8,X2)
      | ~ injective(X0,X1,X2)
      | sP15(X1,X0,X8) ),
    inference(cnf_transformation,[],[f98_D]) ).

fof(f98_D,plain,
    ! [X8,X0,X1] :
      ( ! [X2] :
          ( ~ member(X8,X2)
          | ~ injective(X0,X1,X2) )
    <=> ~ sP15(X1,X0,X8) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f83,plain,
    ! [X2,X0,X1,X8,X6,X7] :
      ( X6 = X7
      | ~ apply(X0,X7,X8)
      | ~ apply(X0,X6,X8)
      | ~ member(X8,X2)
      | ~ member(X7,X1)
      | ~ member(X6,X1)
      | ~ injective(X0,X1,X2) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ( injective(X0,X1,X2)
        | ( sK8(X0,X1,X2) != sK9(X0,X1,X2)
          & apply(X0,sK9(X0,X1,X2),sK10(X0,X1,X2))
          & apply(X0,sK8(X0,X1,X2),sK10(X0,X1,X2))
          & member(sK10(X0,X1,X2),X2)
          & member(sK9(X0,X1,X2),X1)
          & member(sK8(X0,X1,X2),X1) ) )
      & ( ! [X6,X7,X8] :
            ( X6 = X7
            | ~ apply(X0,X7,X8)
            | ~ apply(X0,X6,X8)
            | ~ member(X8,X2)
            | ~ member(X7,X1)
            | ~ member(X6,X1) )
        | ~ injective(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f59,f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( X3 != X4
          & apply(X0,X4,X5)
          & apply(X0,X3,X5)
          & member(X5,X2)
          & member(X4,X1)
          & member(X3,X1) )
     => ( sK8(X0,X1,X2) != sK9(X0,X1,X2)
        & apply(X0,sK9(X0,X1,X2),sK10(X0,X1,X2))
        & apply(X0,sK8(X0,X1,X2),sK10(X0,X1,X2))
        & member(sK10(X0,X1,X2),X2)
        & member(sK9(X0,X1,X2),X1)
        & member(sK8(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ( injective(X0,X1,X2)
        | ? [X3,X4,X5] :
            ( X3 != X4
            & apply(X0,X4,X5)
            & apply(X0,X3,X5)
            & member(X5,X2)
            & member(X4,X1)
            & member(X3,X1) ) )
      & ( ! [X6,X7,X8] :
            ( X6 = X7
            | ~ apply(X0,X7,X8)
            | ~ apply(X0,X6,X8)
            | ~ member(X8,X2)
            | ~ member(X7,X1)
            | ~ member(X6,X1) )
        | ~ injective(X0,X1,X2) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ( injective(X0,X1,X2)
        | ? [X3,X4,X5] :
            ( X3 != X4
            & apply(X0,X4,X5)
            & apply(X0,X3,X5)
            & member(X5,X2)
            & member(X4,X1)
            & member(X3,X1) ) )
      & ( ! [X3,X4,X5] :
            ( X3 = X4
            | ~ apply(X0,X4,X5)
            | ~ apply(X0,X3,X5)
            | ~ member(X5,X2)
            | ~ member(X4,X1)
            | ~ member(X3,X1) )
        | ~ injective(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( injective(X0,X1,X2)
    <=> ! [X3,X4,X5] :
          ( X3 = X4
          | ~ apply(X0,X4,X5)
          | ~ apply(X0,X3,X5)
          | ~ member(X5,X2)
          | ~ member(X4,X1)
          | ~ member(X3,X1) ) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( injective(X0,X1,X2)
    <=> ! [X3,X4,X5] :
          ( X3 = X4
          | ~ apply(X0,X4,X5)
          | ~ apply(X0,X3,X5)
          | ~ member(X5,X2)
          | ~ member(X4,X1)
          | ~ member(X3,X1) ) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( injective(X0,X1,X2)
    <=> ! [X3,X4,X5] :
          ( ( member(X5,X2)
            & member(X4,X1)
            & member(X3,X1) )
         => ( ( apply(X0,X4,X5)
              & apply(X0,X3,X5) )
           => X3 = X4 ) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X5,X0,X1] :
      ( injective(X5,X0,X1)
    <=> ! [X12,X13,X4] :
          ( ( member(X4,X1)
            & member(X13,X0)
            & member(X12,X0) )
         => ( ( apply(X5,X13,X4)
              & apply(X5,X12,X4) )
           => X12 = X13 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f812,plain,
    ( apply(compose_function(sK2,sK1,sK4,sK5,sK3),sK6(sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4)))),sK6(sK2,sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f618,f640,f739,f101]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2)
      | sP14(X5,X6,X0,X3,X1) ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f97,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2)
      | ~ sP14(X5,X6,X0,X3,X1) ),
    inference(general_splitting,[],[f79,f96_D]) ).

fof(f96,plain,
    ! [X3,X0,X1,X6,X7,X5] :
      ( ~ apply(X0,X7,X6)
      | ~ apply(X1,X5,X7)
      | ~ member(X7,X3)
      | sP14(X5,X6,X0,X3,X1) ),
    inference(cnf_transformation,[],[f96_D]) ).

fof(f96_D,plain,
    ! [X1,X3,X0,X6,X5] :
      ( ! [X7] :
          ( ~ apply(X0,X7,X6)
          | ~ apply(X1,X5,X7)
          | ~ member(X7,X3) )
    <=> ~ sP14(X5,X6,X0,X3,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ apply(X0,X7,X6)
      | ~ apply(X1,X5,X7)
      | ~ member(X7,X3)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ( apply(X0,sK7(X0,X1,X3,X5,X6),X6)
            & apply(X1,X5,sK7(X0,X1,X3,X5,X6))
            & member(sK7(X0,X1,X3,X5,X6),X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f53,f54]) ).

fof(f54,plain,
    ! [X0,X1,X3,X5,X6] :
      ( ? [X8] :
          ( apply(X0,X8,X6)
          & apply(X1,X5,X8)
          & member(X8,X3) )
     => ( apply(X0,sK7(X0,X1,X3,X5,X6),X6)
        & apply(X1,X5,sK7(X0,X1,X3,X5,X6))
        & member(sK7(X0,X1,X3,X5,X6),X3) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ? [X8] :
              ( apply(X0,X8,X6)
              & apply(X1,X5,X8)
              & member(X8,X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(rectify,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ? [X7] :
              ( apply(X0,X7,X6)
              & apply(X1,X5,X7)
              & member(X7,X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( member(X6,X4)
        & member(X5,X2) )
     => ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X9,X5,X0,X1,X10,X2,X11] :
      ( ( member(X11,X10)
        & member(X2,X0) )
     => ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
      <=> ? [X4] :
            ( apply(X9,X4,X11)
            & apply(X5,X2,X4)
            & member(X4,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f739,plain,
    ( ~ sP14(sK6(sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4)))),sK6(sK2,sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK2,sK5,sK1)
    | ~ spl16_2 ),
    inference(backward_demodulation,[],[f709,f730]) ).

fof(f730,plain,
    ( sK6(sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4)))) = sK7(sK1,sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK1,sK5,sK11(sK0,sK3,sK4)))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f640,f641,f642,f657,f658,f95]) ).

fof(f95,plain,
    ! [X2,X3,X0,X4,X5] :
      ( ~ sP13(X2,X0,X3)
      | ~ apply(X0,X3,X5)
      | ~ apply(X0,X3,X4)
      | ~ member(X5,X2)
      | ~ member(X4,X2)
      | X4 = X5 ),
    inference(general_splitting,[],[f75,f94_D]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1] :
      ( sP13(X2,X0,X3)
      | ~ maps(X0,X1,X2)
      | ~ member(X3,X1) ),
    inference(cnf_transformation,[],[f94_D]) ).

fof(f94_D,plain,
    ! [X3,X0,X2] :
      ( ! [X1] :
          ( ~ maps(X0,X1,X2)
          | ~ member(X3,X1) )
    <=> ~ sP13(X2,X0,X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X4 = X5
      | ~ apply(X0,X3,X5)
      | ~ apply(X0,X3,X4)
      | ~ member(X5,X2)
      | ~ member(X4,X2)
      | ~ member(X3,X1)
      | ~ maps(X0,X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f658,plain,
    ( apply(sK0,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK7(sK1,sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK1,sK5,sK11(sK0,sK3,sK4))))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f611,f623,f622,f77]) ).

fof(f77,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( apply(X1,X5,sK7(X0,X1,X3,X5,X6))
      | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f622,plain,
    ( apply(compose_function(sK1,sK0,sK3,sK4,sK5),sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK1,sK5,sK11(sK0,sK3,sK4)))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f125,f611,f114]) ).

fof(f114,plain,
    ! [X2,X0,X1,X5] :
      ( apply(X0,sK12(X0,X1,X5),X5)
      | ~ member(X5,X2)
      | surjective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f91,plain,
    ! [X2,X0,X1,X5] :
      ( apply(X0,sK12(X0,X1,X5),X5)
      | ~ member(X5,X2)
      | ~ surjective(X0,X1,X2) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f657,plain,
    ( member(sK7(sK1,sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK4)
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f611,f623,f622,f76]) ).

fof(f76,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | member(sK7(X0,X1,X3,X5,X6),X3)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f642,plain,
    ( sP13(sK4,sK0,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f67,f623,f94]) ).

fof(f67,plain,
    maps(sK0,sK3,sK4),
    inference(cnf_transformation,[],[f49]) ).

fof(f709,plain,
    ( ~ sP14(sK7(sK1,sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK2,sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK2,sK5,sK1)
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f619,f611,f659,f102]) ).

fof(f102,plain,
    ! [X3,X0,X1,X6,X7,X5] :
      ( ~ sP14(X5,X6,X0,X3,X1)
      | ~ apply(X1,X5,X7)
      | ~ member(X7,X3)
      | ~ apply(X0,X7,X6) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f659,plain,
    ( apply(sK1,sK7(sK1,sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK1,sK5,sK11(sK0,sK3,sK4)))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f611,f623,f622,f78]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( apply(X0,sK7(X0,X1,X3,X5,X6),X6)
      | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f619,plain,
    ( apply(sK2,sK6(sK1,sK5,sK11(sK0,sK3,sK4)),sK6(sK2,sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f69,f611,f74]) ).

fof(f74,plain,
    ! [X2,X0,X1,X6] :
      ( apply(X0,X6,sK6(X0,X2,X6))
      | ~ member(X6,X1)
      | ~ maps(X0,X1,X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f69,plain,
    maps(sK2,sK5,sK3),
    inference(cnf_transformation,[],[f49]) ).

fof(f618,plain,
    ( member(sK6(sK2,sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK3)
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f69,f611,f73]) ).

fof(f640,plain,
    ( member(sK6(sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4)))),sK4)
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f67,f623,f73]) ).

fof(f633,plain,
    ( sP15(sK4,compose_function(sK2,sK1,sK4,sK5,sK3),sK6(sK2,sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f128,f618,f100]) ).

fof(f100,plain,
    ! [X2,X0,X1,X8] :
      ( sP15(X1,X0,X8)
      | injective(X0,X1,X2)
      | ~ member(X8,X2) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f128,plain,
    ~ injective(compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3),
    inference(unit_resulting_resolution,[],[f71,f105]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ one_to_one(X0,X1,X2)
      | ~ injective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f80,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X1,X2)
      | ~ one_to_one(X0,X1,X2) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f71,plain,
    one_to_one(compose_function(sK2,sK1,sK4,sK5,sK3),sK4,sK3),
    inference(cnf_transformation,[],[f49]) ).

fof(f671,plain,
    ( apply(compose_function(sK2,sK1,sK4,sK5,sK3),sK11(sK0,sK3,sK4),sK6(sK2,sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f607,f618,f649,f101]) ).

fof(f649,plain,
    ( ~ sP14(sK11(sK0,sK3,sK4),sK6(sK2,sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK2,sK5,sK1)
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f612,f611,f619,f102]) ).

fof(f612,plain,
    ( apply(sK1,sK11(sK0,sK3,sK4),sK6(sK1,sK5,sK11(sK0,sK3,sK4)))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f68,f607,f74]) ).

fof(f641,plain,
    ( apply(sK0,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4))),sK6(sK0,sK4,sK12(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK6(sK1,sK5,sK11(sK0,sK3,sK4)))))
    | ~ spl16_2 ),
    inference(unit_resulting_resolution,[],[f67,f623,f74]) ).

fof(f606,plain,
    ~ spl16_1,
    inference(avatar_contradiction_clause,[],[f605]) ).

fof(f605,plain,
    ( $false
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f584,f436]) ).

fof(f436,plain,
    ( apply(compose_function(sK1,sK0,sK3,sK4,sK5),sK8(sK0,sK3,sK4),sK6(sK1,sK5,sK10(sK0,sK3,sK4)))
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f340,f341,f382,f101]) ).

fof(f382,plain,
    ( ~ sP14(sK8(sK0,sK3,sK4),sK6(sK1,sK5,sK10(sK0,sK3,sK4)),sK1,sK4,sK0)
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f337,f338,f342,f102]) ).

fof(f342,plain,
    ( apply(sK1,sK10(sK0,sK3,sK4),sK6(sK1,sK5,sK10(sK0,sK3,sK4)))
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f68,f338,f74]) ).

fof(f338,plain,
    ( member(sK10(sK0,sK3,sK4),sK4)
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f119,f109]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( member(sK10(X0,X1,X2),X2)
      | ~ injective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X1,X2)
      | member(sK10(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f119,plain,
    ( injective(sK0,sK3,sK4)
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl16_1
  <=> injective(sK0,sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f337,plain,
    ( apply(sK0,sK8(sK0,sK3,sK4),sK10(sK0,sK3,sK4))
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f119,f108]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( apply(X0,sK8(X0,X1,X2),sK10(X0,X1,X2))
      | ~ injective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X1,X2)
      | apply(X0,sK8(X0,X1,X2),sK10(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f341,plain,
    ( member(sK6(sK1,sK5,sK10(sK0,sK3,sK4)),sK5)
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f68,f338,f73]) ).

fof(f340,plain,
    ( member(sK8(sK0,sK3,sK4),sK3)
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f119,f111]) ).

fof(f111,plain,
    ! [X2,X0,X1] :
      ( member(sK8(X0,X1,X2),X1)
      | ~ injective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X1,X2)
      | member(sK8(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f584,plain,
    ( ~ apply(compose_function(sK1,sK0,sK3,sK4,sK5),sK8(sK0,sK3,sK4),sK6(sK1,sK5,sK10(sK0,sK3,sK4)))
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f340,f335,f339,f368,f435,f99]) ).

fof(f435,plain,
    ( apply(compose_function(sK1,sK0,sK3,sK4,sK5),sK9(sK0,sK3,sK4),sK6(sK1,sK5,sK10(sK0,sK3,sK4)))
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f339,f341,f381,f101]) ).

fof(f381,plain,
    ( ~ sP14(sK9(sK0,sK3,sK4),sK6(sK1,sK5,sK10(sK0,sK3,sK4)),sK1,sK4,sK0)
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f336,f338,f342,f102]) ).

fof(f336,plain,
    ( apply(sK0,sK9(sK0,sK3,sK4),sK10(sK0,sK3,sK4))
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f119,f107]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( apply(X0,sK9(X0,X1,X2),sK10(X0,X1,X2))
      | ~ injective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f88,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X1,X2)
      | apply(X0,sK9(X0,X1,X2),sK10(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f368,plain,
    ( sP15(sK3,compose_function(sK1,sK0,sK3,sK4,sK5),sK6(sK1,sK5,sK10(sK0,sK3,sK4)))
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f124,f341,f100]) ).

fof(f124,plain,
    ~ injective(compose_function(sK1,sK0,sK3,sK4,sK5),sK3,sK5),
    inference(unit_resulting_resolution,[],[f70,f105]) ).

fof(f339,plain,
    ( member(sK9(sK0,sK3,sK4),sK3)
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f119,f110]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( member(sK9(X0,X1,X2),X1)
      | ~ injective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X1,X2)
      | member(sK9(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f335,plain,
    ( sK8(sK0,sK3,sK4) != sK9(sK0,sK3,sK4)
    | ~ spl16_1 ),
    inference(unit_resulting_resolution,[],[f119,f106]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( sK8(X0,X1,X2) != sK9(X0,X1,X2)
      | ~ injective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f89]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( injective(X0,X1,X2)
      | sK8(X0,X1,X2) != sK9(X0,X1,X2) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f123,plain,
    ( spl16_1
    | spl16_2 ),
    inference(avatar_split_clause,[],[f116,f121,f118]) ).

fof(f116,plain,
    ( surjective(sK0,sK3,sK4)
    | injective(sK0,sK3,sK4) ),
    inference(resolution,[],[f72,f103]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( one_to_one(X0,X1,X2)
      | surjective(X0,X1,X2)
      | injective(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( one_to_one(X0,X1,X2)
      | ~ surjective(X0,X1,X2)
      | ~ injective(X0,X1,X2) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f72,plain,
    ~ one_to_one(sK0,sK3,sK4),
    inference(cnf_transformation,[],[f49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET742+4 : TPTP v8.2.0. Bugfixed v2.2.1.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Jun 23 14:33:24 EDT 2024
% 0.18/0.33  % CPUTime    : 
% 0.18/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.18/0.35  Running first-order theorem proving
% 0.18/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.41  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (12089)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.21/0.41  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (12091)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.21/0.42  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (12085)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.21/0.42  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (12088)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.42  % (12088)Refutation not found, incomplete strategy% (12088)------------------------------
% 0.21/0.42  % (12088)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (12088)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (12088)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (12088)Memory used [KB]: 1158
% 0.21/0.42  % (12088)Time elapsed: 0.004 s
% 0.21/0.42  % (12088)Instructions burned: 2 (million)
% 0.21/0.42  % (12088)------------------------------
% 0.21/0.42  % (12088)------------------------------
% 0.21/0.43  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (12086)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.21/0.44  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (12087)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.21/0.44  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (12090)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.21/0.44  % (12090)Refutation not found, incomplete strategy% (12090)------------------------------
% 0.21/0.44  % (12090)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (12090)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (12090)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44  
% 0.21/0.44  % (12090)Memory used [KB]: 1184
% 0.21/0.44  % (12090)Time elapsed: 0.003 s
% 0.21/0.44  % (12090)Instructions burned: 3 (million)
% 0.21/0.44  % (12090)------------------------------
% 0.21/0.44  % (12090)------------------------------
% 0.21/0.47  % (12089)Instruction limit reached!
% 0.21/0.47  % (12089)------------------------------
% 0.21/0.47  % (12089)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (12089)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (12089)Termination reason: Time limit
% 0.21/0.47  % (12089)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (12089)Memory used [KB]: 2165
% 0.21/0.47  % (12089)Time elapsed: 0.057 s
% 0.21/0.47  % (12089)Instructions burned: 121 (million)
% 0.21/0.47  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47  % (12092)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2999ds/123Mi)
% 0.21/0.48  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (12093)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2999ds/205Mi)
% 0.21/0.48  % (12091)Instruction limit reached!
% 0.21/0.48  % (12091)------------------------------
% 0.21/0.48  % (12091)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (12091)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (12091)Termination reason: Time limit
% 0.21/0.48  % (12091)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (12091)Memory used [KB]: 2110
% 0.21/0.48  % (12091)Time elapsed: 0.067 s
% 0.21/0.48  % (12091)Instructions burned: 128 (million)
% 0.21/0.50  % (12092)Instruction limit reached!
% 0.21/0.50  % (12092)------------------------------
% 0.21/0.50  % (12092)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50  % (12092)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50  % (12092)Termination reason: Time limit
% 0.21/0.50  % (12092)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (12092)Memory used [KB]: 1812
% 0.21/0.50  % (12092)Time elapsed: 0.034 s
% 0.21/0.50  % (12092)Instructions burned: 126 (million)
% 0.21/0.53  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (12095)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/143Mi)
% 0.21/0.53  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (12096)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=113:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2998ds/113Mi)
% 0.21/0.54  % (12096)Refutation not found, incomplete strategy% (12096)------------------------------
% 0.21/0.54  % (12096)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54  % (12096)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54  % (12096)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54  
% 0.21/0.54  % (12096)Memory used [KB]: 1259
% 0.21/0.54  % (12096)Time elapsed: 0.003 s
% 0.21/0.54  % (12096)Instructions burned: 5 (million)
% 0.21/0.54  % (12096)------------------------------
% 0.21/0.54  % (12096)------------------------------
% 0.21/0.54  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54  % (12094)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2998ds/180Mi)
% 0.21/0.55  % (12093)Instruction limit reached!
% 0.21/0.55  % (12093)------------------------------
% 0.21/0.55  % (12093)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.55  % (12093)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.55  % (12093)Termination reason: Time limit
% 0.21/0.55  % (12093)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (12093)Memory used [KB]: 3305
% 0.21/0.55  % (12093)Time elapsed: 0.076 s
% 0.21/0.55  % (12093)Instructions burned: 205 (million)
% 0.21/0.57  % (12084)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.57  % (12097)dis-1011_3:14_sil=32000:rp=on:nwc=7.0:sac=on:mep=off:s2a=on:i=113:ep=R:gsp=on:rawr=on:awrs=converge:awrsf=47:s2agt=30:rnwc=on_0 on theBenchmark for (2998ds/113Mi)
% 1.61/0.59  % (12084)Running in auto input_syntax mode. Trying TPTP
% 1.61/0.59  % (12098)lrs+1011_1:1024_sil=2000:sos=on:lsd=10:i=114:sd=3:kws=frequency:bd=off:nm=6:av=off:gsp=on:ss=axioms:sgt=64:fde=unused_0 on theBenchmark for (2998ds/114Mi)
% 1.75/0.60  % (12095)Instruction limit reached!
% 1.75/0.60  % (12095)------------------------------
% 1.75/0.60  % (12095)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/0.60  % (12095)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/0.60  % (12097)Instruction limit reached!
% 1.75/0.60  % (12097)------------------------------
% 1.75/0.60  % (12097)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/0.60  % (12097)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/0.60  % (12097)Termination reason: Time limit
% 1.75/0.60  % (12097)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  % (12097)Memory used [KB]: 2161
% 1.75/0.60  % (12097)Time elapsed: 0.035 s
% 1.75/0.60  % (12097)Instructions burned: 114 (million)
% 1.75/0.60  % (12095)Termination reason: Time limit
% 1.75/0.60  % (12095)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  % (12095)Memory used [KB]: 2552
% 1.75/0.60  % (12095)Time elapsed: 0.072 s
% 1.75/0.60  % (12095)Instructions burned: 143 (million)
% 1.75/0.61  % (12094)Instruction limit reached!
% 1.75/0.61  % (12094)------------------------------
% 1.75/0.61  % (12094)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/0.61  % (12094)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/0.61  % (12094)Termination reason: Time limit
% 1.75/0.61  % (12094)Termination phase: Saturation
% 1.75/0.61  
% 1.75/0.61  % (12094)Memory used [KB]: 1971
% 1.75/0.61  % (12094)Time elapsed: 0.077 s
% 1.75/0.61  % (12094)Instructions burned: 182 (million)
% 1.75/0.62  % (12098)Instruction limit reached!
% 1.75/0.62  % (12098)------------------------------
% 1.75/0.62  % (12098)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.75/0.62  % (12098)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.75/0.62  % (12098)Termination reason: Time limit
% 1.75/0.62  % (12098)Termination phase: Saturation
% 1.75/0.62  
% 1.75/0.62  % (12098)Memory used [KB]: 1922
% 1.75/0.62  % (12098)Time elapsed: 0.034 s
% 1.75/0.62  % (12098)Instructions burned: 117 (million)
% 1.93/0.64  % (12084)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.64  % (12100)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=150:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2997ds/150Mi)
% 1.93/0.64  % (12100)Refutation not found, incomplete strategy% (12100)------------------------------
% 1.93/0.64  % (12100)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.64  % (12100)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.64  % (12100)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.64  
% 1.93/0.64  % (12100)Memory used [KB]: 1200
% 1.93/0.64  % (12100)Time elapsed: 0.003 s
% 1.93/0.64  % (12100)Instructions burned: 5 (million)
% 1.93/0.64  % (12100)------------------------------
% 1.93/0.64  % (12100)------------------------------
% 1.93/0.65  % (12084)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.65  % (12099)lrs+1011_1:4_sil=2000:tgt=ground:lsd=100:nwc=2.0:st=7.0:i=253:bd=off:nm=16:av=off:ss=axioms:rawr=on_0 on theBenchmark for (2997ds/253Mi)
% 1.93/0.67  % (12084)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.67  % (12101)lrs+1010_1:1_tgt=ground:fde=unused:sp=const_frequency:nwc=5.0:sac=on:avsq=on:i=196:avsqr=1,8:fsd=on:sil=64000:gs=on:rnwc=on_0 on theBenchmark for (2997ds/196Mi)
% 1.93/0.68  % (12084)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.68  % (12102)lrs+1002_1:1_sil=4000:i=107:sd=2:ep=RS:av=off:ss=axioms:sos=on:erd=off_0 on theBenchmark for (2997ds/107Mi)
% 1.93/0.68  % (12102)Refutation not found, incomplete strategy% (12102)------------------------------
% 1.93/0.68  % (12102)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.68  % (12102)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.68  % (12102)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.68  
% 1.93/0.68  % (12102)Memory used [KB]: 1155
% 1.93/0.68  % (12102)Time elapsed: 0.003 s
% 1.93/0.68  % (12102)Instructions burned: 2 (million)
% 1.93/0.68  % (12084)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.68  % (12103)lrs+10_1:1024_sil=2000:st=2.0:i=107:sd=2:ss=included:ep=R_0 on theBenchmark for (2997ds/107Mi)
% 1.93/0.68  % (12102)------------------------------
% 1.93/0.68  % (12102)------------------------------
% 1.93/0.71  % (12103)Instruction limit reached!
% 1.93/0.71  % (12103)------------------------------
% 1.93/0.71  % (12103)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.71  % (12103)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.71  % (12103)Termination reason: Time limit
% 1.93/0.71  % (12103)Termination phase: Saturation
% 1.93/0.71  
% 1.93/0.71  % (12103)Memory used [KB]: 2422
% 1.93/0.71  % (12103)Time elapsed: 0.036 s
% 1.93/0.71  % (12103)Instructions burned: 107 (million)
% 1.93/0.72  % (12084)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.72  % (12104)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=147:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2996ds/147Mi)
% 1.93/0.73  % (12104)Refutation not found, incomplete strategy% (12104)------------------------------
% 1.93/0.73  % (12104)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.73  % (12104)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.73  % (12104)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.73  
% 1.93/0.73  % (12104)Memory used [KB]: 1163
% 1.93/0.73  % (12104)Time elapsed: 0.028 s
% 1.93/0.73  % (12104)Instructions burned: 4 (million)
% 1.93/0.73  % (12104)------------------------------
% 1.93/0.73  % (12104)------------------------------
% 2.44/0.75  % (12099)Instruction limit reached!
% 2.44/0.75  % (12099)------------------------------
% 2.44/0.75  % (12099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.75  % (12099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.75  % (12099)Termination reason: Time limit
% 2.44/0.75  % (12099)Termination phase: Saturation
% 2.44/0.75  
% 2.44/0.75  % (12099)Memory used [KB]: 2732
% 2.44/0.75  % (12099)Time elapsed: 0.101 s
% 2.44/0.75  % (12099)Instructions burned: 254 (million)
% 2.44/0.76  % (12084)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.76  % (12106)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=304:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2996ds/304Mi)
% 2.44/0.76  % (12084)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.76  % (12105)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=116:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2996ds/116Mi)
% 2.44/0.76  % (12105)Refutation not found, incomplete strategy% (12105)------------------------------
% 2.44/0.76  % (12105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.76  % (12105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.76  % (12105)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.76  
% 2.44/0.76  % (12105)Memory used [KB]: 1151
% 2.44/0.76  % (12105)Time elapsed: 0.003 s
% 2.44/0.76  % (12105)Instructions burned: 4 (million)
% 2.44/0.76  % (12105)------------------------------
% 2.44/0.76  % (12105)------------------------------
% 2.44/0.78  % (12084)Running in auto input_syntax mode. Trying TPTP
% 2.44/0.78  % (12107)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=135:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2996ds/135Mi)
% 2.44/0.78  % (12101)Instruction limit reached!
% 2.44/0.78  % (12101)------------------------------
% 2.44/0.78  % (12101)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.44/0.78  % (12101)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.44/0.78  % (12101)Termination reason: Time limit
% 2.44/0.78  % (12101)Termination phase: Saturation
% 2.44/0.78  
% 2.44/0.78  % (12101)Memory used [KB]: 3627
% 2.44/0.78  % (12101)Time elapsed: 0.115 s
% 2.44/0.78  % (12101)Instructions burned: 196 (million)
% 3.00/0.80  % (12084)Running in auto input_syntax mode. Trying TPTP
% 3.00/0.80  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 3.00/0.80  % (12108)dis+1010_1:1_sil=2000:urr=on:lcm=predicate:i=261:ile=on:gs=on:br=off_0 on theBenchmark for (2996ds/261Mi)
% 3.00/0.81  % (12106)First to succeed.
% 3.00/0.81  % (12106)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12084"
% 3.00/0.81  % (12084)Running in auto input_syntax mode. Trying TPTP
% 3.00/0.81  % (12106)Refutation found. Thanks to Tanya!
% 3.00/0.81  % SZS status Theorem for theBenchmark
% 3.00/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 3.00/0.81  % (12106)------------------------------
% 3.00/0.81  % (12106)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.00/0.81  % (12106)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.00/0.81  % (12106)Termination reason: Refutation
% 3.00/0.81  
% 3.00/0.81  % (12106)Memory used [KB]: 2154
% 3.00/0.81  % (12106)Time elapsed: 0.051 s
% 3.00/0.81  % (12106)Instructions burned: 136 (million)
% 3.00/0.81  % (12106)------------------------------
% 3.00/0.81  % (12106)------------------------------
% 3.00/0.81  % (12084)Success in time 0.438 s
%------------------------------------------------------------------------------