TSTP Solution File: SET721+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET721+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.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 : Wed Aug 31 18:21:59 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   59 (  14 unt;   0 def)
%            Number of atoms       :  321 (  25 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :  393 ( 131   ~; 123   |; 106   &)
%                                         (  10 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-5 aty)
%            Number of variables   :  263 ( 220   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f442,plain,
    $false,
    inference(subsumption_resolution,[],[f434,f342]) ).

fof(f342,plain,
    apply(compose_function(sK5,sK2,sK1,sK4,sK3),sK8(sK4,sK2,sK1),sK0(sK5,sK3,sK9(sK4,sK2,sK1))),
    inference(unit_resulting_resolution,[],[f76,f87,f85,f96,f95,f68]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ member(X7,X2)
      | apply(compose_function(X5,X0,X4,X2,X6),X3,X1)
      | ~ member(X1,X6)
      | ~ member(X3,X4)
      | ~ apply(X0,X3,X7)
      | ~ apply(X5,X7,X1) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X1,X6)
      | ~ member(X3,X4)
      | ( ( apply(compose_function(X5,X0,X4,X2,X6),X3,X1)
          | ! [X7] :
              ( ~ member(X7,X2)
              | ~ apply(X5,X7,X1)
              | ~ apply(X0,X3,X7) ) )
        & ( ( member(sK6(X0,X1,X2,X3,X5),X2)
            & apply(X5,sK6(X0,X1,X2,X3,X5),X1)
            & apply(X0,X3,sK6(X0,X1,X2,X3,X5)) )
          | ~ apply(compose_function(X5,X0,X4,X2,X6),X3,X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f51,f52]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3,X5] :
      ( ? [X8] :
          ( member(X8,X2)
          & apply(X5,X8,X1)
          & apply(X0,X3,X8) )
     => ( member(sK6(X0,X1,X2,X3,X5),X2)
        & apply(X5,sK6(X0,X1,X2,X3,X5),X1)
        & apply(X0,X3,sK6(X0,X1,X2,X3,X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X1,X6)
      | ~ member(X3,X4)
      | ( ( apply(compose_function(X5,X0,X4,X2,X6),X3,X1)
          | ! [X7] :
              ( ~ member(X7,X2)
              | ~ apply(X5,X7,X1)
              | ~ apply(X0,X3,X7) ) )
        & ( ? [X8] :
              ( member(X8,X2)
              & apply(X5,X8,X1)
              & apply(X0,X3,X8) )
          | ~ apply(compose_function(X5,X0,X4,X2,X6),X3,X1) ) ) ),
    inference(rectify,[],[f50]) ).

fof(f50,plain,
    ! [X1,X2,X4,X0,X6,X5,X3] :
      ( ~ member(X2,X3)
      | ~ member(X0,X6)
      | ( ( apply(compose_function(X5,X1,X6,X4,X3),X0,X2)
          | ! [X7] :
              ( ~ member(X7,X4)
              | ~ apply(X5,X7,X2)
              | ~ apply(X1,X0,X7) ) )
        & ( ? [X7] :
              ( member(X7,X4)
              & apply(X5,X7,X2)
              & apply(X1,X0,X7) )
          | ~ apply(compose_function(X5,X1,X6,X4,X3),X0,X2) ) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X1,X2,X4,X0,X6,X5,X3] :
      ( ~ member(X2,X3)
      | ~ member(X0,X6)
      | ( apply(compose_function(X5,X1,X6,X4,X3),X0,X2)
      <=> ? [X7] :
            ( member(X7,X4)
            & apply(X5,X7,X2)
            & apply(X1,X0,X7) ) ) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X3,X5,X4,X2,X6] :
      ( ( apply(compose_function(X5,X1,X6,X4,X3),X0,X2)
      <=> ? [X7] :
            ( member(X7,X4)
            & apply(X5,X7,X2)
            & apply(X1,X0,X7) ) )
      | ~ member(X0,X6)
      | ~ member(X2,X3) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X3,X5,X4,X2,X6] :
      ( ( member(X0,X6)
        & member(X2,X3) )
     => ( apply(compose_function(X5,X1,X6,X4,X3),X0,X2)
      <=> ? [X7] :
            ( member(X7,X4)
            & apply(X5,X7,X2)
            & apply(X1,X0,X7) ) ) ),
    inference(rectify,[],[f14]) ).

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

fof(f95,plain,
    apply(sK5,sK9(sK4,sK2,sK1),sK0(sK5,sK3,sK9(sK4,sK2,sK1))),
    inference(unit_resulting_resolution,[],[f63,f76,f59]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X3,X2)
      | apply(X0,X3,sK0(X0,X1,X3))
      | ~ maps(X0,X2,X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ member(X3,X2)
            | ( member(sK0(X0,X1,X3),X1)
              & apply(X0,X3,sK0(X0,X1,X3)) ) )
        & ! [X5,X6,X7] :
            ( ~ member(X5,X1)
            | X5 = X7
            | ~ member(X7,X1)
            | ~ apply(X0,X6,X7)
            | ~ member(X6,X2)
            | ~ apply(X0,X6,X5) ) )
      | ~ maps(X0,X2,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f44,f45]) ).

fof(f45,plain,
    ! [X0,X1,X3] :
      ( ? [X4] :
          ( member(X4,X1)
          & apply(X0,X3,X4) )
     => ( member(sK0(X0,X1,X3),X1)
        & apply(X0,X3,sK0(X0,X1,X3)) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f43,plain,
    ! [X0,X2,X1] :
      ( ( ! [X6] :
            ( ~ member(X6,X1)
            | ? [X7] :
                ( member(X7,X2)
                & apply(X0,X6,X7) ) )
        & ! [X4,X3,X5] :
            ( ~ member(X4,X2)
            | X4 = X5
            | ~ member(X5,X2)
            | ~ apply(X0,X3,X5)
            | ~ member(X3,X1)
            | ~ apply(X0,X3,X4) ) )
      | ~ maps(X0,X1,X2) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X1,X2,X0] :
      ( ( ! [X3,X5,X4] :
            ( X4 = X5
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X3,X5)
            | ~ member(X5,X2)
            | ~ member(X4,X2)
            | ~ member(X3,X1) )
        & ! [X6] :
            ( ~ member(X6,X1)
            | ? [X7] :
                ( member(X7,X2)
                & apply(X0,X6,X7) ) ) )
      | ~ maps(X0,X1,X2) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X1,X2,X0] :
      ( maps(X0,X1,X2)
     => ( ! [X3,X5,X4] :
            ( ( member(X5,X2)
              & member(X4,X2)
              & member(X3,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X3,X5) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( member(X7,X2)
                & apply(X0,X6,X7) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f34]) ).

fof(f34,plain,
    ! [X1,X2,X0] :
      ( maps(X0,X1,X2)
    <=> ( ! [X3,X5,X4] :
            ( ( member(X5,X2)
              & member(X4,X2)
              & member(X3,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X3,X5) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( member(X7,X2)
                & apply(X0,X6,X7) ) ) ) ),
    inference(rectify,[],[f12]) ).

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

fof(f63,plain,
    maps(sK5,sK4,sK3),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( maps(sK2,sK1,sK4)
    & maps(sK5,sK4,sK3)
    & injective(compose_function(sK5,sK2,sK1,sK4,sK3),sK1,sK3)
    & ~ injective(sK2,sK1,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f47,f48]) ).

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

fof(f47,plain,
    ? [X0,X1,X2,X3,X4] :
      ( maps(X1,X0,X3)
      & maps(X4,X3,X2)
      & injective(compose_function(X4,X1,X0,X3,X2),X0,X2)
      & ~ injective(X1,X0,X3) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ? [X0,X3,X1,X2,X4] :
      ( maps(X3,X0,X2)
      & maps(X4,X2,X1)
      & injective(compose_function(X4,X3,X0,X2,X1),X0,X1)
      & ~ injective(X3,X0,X2) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ? [X0,X2,X3,X4,X1] :
      ( ~ injective(X3,X0,X2)
      & injective(compose_function(X4,X3,X0,X2,X1),X0,X1)
      & maps(X3,X0,X2)
      & maps(X4,X2,X1) ),
    inference(ennf_transformation,[],[f31]) ).

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

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

fof(f29,conjecture,
    ! [X0,X10,X1,X5,X9] :
      ( ( maps(X9,X1,X10)
        & injective(compose_function(X9,X5,X0,X1,X10),X0,X10)
        & maps(X5,X0,X1) )
     => injective(X5,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII12) ).

fof(f96,plain,
    member(sK0(sK5,sK3,sK9(sK4,sK2,sK1)),sK3),
    inference(unit_resulting_resolution,[],[f63,f76,f60]) ).

fof(f60,plain,
    ! [X2,X3,X0,X1] :
      ( ~ maps(X0,X2,X1)
      | member(sK0(X0,X1,X3),X1)
      | ~ member(X3,X2) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f85,plain,
    apply(sK2,sK8(sK4,sK2,sK1),sK9(sK4,sK2,sK1)),
    inference(resolution,[],[f61,f71]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( apply(X1,sK8(X0,X1,X2),sK9(X0,X1,X2))
      | injective(X1,X2,X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( ~ apply(X1,X3,X5)
            | X3 = X4
            | ~ member(X4,X2)
            | ~ apply(X1,X4,X5)
            | ~ member(X3,X2)
            | ~ member(X5,X0) )
        | ~ injective(X1,X2,X0) )
      & ( injective(X1,X2,X0)
        | ( apply(X1,sK7(X0,X1,X2),sK9(X0,X1,X2))
          & sK7(X0,X1,X2) != sK8(X0,X1,X2)
          & member(sK8(X0,X1,X2),X2)
          & apply(X1,sK8(X0,X1,X2),sK9(X0,X1,X2))
          & member(sK7(X0,X1,X2),X2)
          & member(sK9(X0,X1,X2),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f55,f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ? [X6,X7,X8] :
          ( apply(X1,X6,X8)
          & X6 != X7
          & member(X7,X2)
          & apply(X1,X7,X8)
          & member(X6,X2)
          & member(X8,X0) )
     => ( apply(X1,sK7(X0,X1,X2),sK9(X0,X1,X2))
        & sK7(X0,X1,X2) != sK8(X0,X1,X2)
        & member(sK8(X0,X1,X2),X2)
        & apply(X1,sK8(X0,X1,X2),sK9(X0,X1,X2))
        & member(sK7(X0,X1,X2),X2)
        & member(sK9(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( ~ apply(X1,X3,X5)
            | X3 = X4
            | ~ member(X4,X2)
            | ~ apply(X1,X4,X5)
            | ~ member(X3,X2)
            | ~ member(X5,X0) )
        | ~ injective(X1,X2,X0) )
      & ( injective(X1,X2,X0)
        | ? [X6,X7,X8] :
            ( apply(X1,X6,X8)
            & X6 != X7
            & member(X7,X2)
            & apply(X1,X7,X8)
            & member(X6,X2)
            & member(X8,X0) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0,X2] :
      ( ( ! [X4,X3,X5] :
            ( ~ apply(X0,X4,X5)
            | X3 = X4
            | ~ member(X3,X2)
            | ~ apply(X0,X3,X5)
            | ~ member(X4,X2)
            | ~ member(X5,X1) )
        | ~ injective(X0,X2,X1) )
      & ( injective(X0,X2,X1)
        | ? [X4,X3,X5] :
            ( apply(X0,X4,X5)
            & X3 != X4
            & member(X3,X2)
            & apply(X0,X3,X5)
            & member(X4,X2)
            & member(X5,X1) ) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0,X2] :
      ( ! [X4,X3,X5] :
          ( ~ apply(X0,X4,X5)
          | X3 = X4
          | ~ member(X3,X2)
          | ~ apply(X0,X3,X5)
          | ~ member(X4,X2)
          | ~ member(X5,X1) )
    <=> injective(X0,X2,X1) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( X3 = X4
          | ~ apply(X0,X4,X5)
          | ~ apply(X0,X3,X5)
          | ~ member(X4,X2)
          | ~ member(X3,X2)
          | ~ member(X5,X1) )
    <=> injective(X0,X2,X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4,X5] :
          ( ( member(X4,X2)
            & member(X3,X2)
            & member(X5,X1) )
         => ( ( apply(X0,X4,X5)
              & apply(X0,X3,X5) )
           => X3 = X4 ) )
    <=> injective(X0,X2,X1) ),
    inference(rectify,[],[f17]) ).

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

fof(f61,plain,
    ~ injective(sK2,sK1,sK4),
    inference(cnf_transformation,[],[f49]) ).

fof(f87,plain,
    member(sK8(sK4,sK2,sK1),sK1),
    inference(resolution,[],[f61,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( member(sK8(X0,X1,X2),X2)
      | injective(X1,X2,X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f76,plain,
    member(sK9(sK4,sK2,sK1),sK4),
    inference(unit_resulting_resolution,[],[f61,f69]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( injective(X1,X2,X0)
      | member(sK9(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f434,plain,
    ~ apply(compose_function(sK5,sK2,sK1,sK4,sK3),sK8(sK4,sK2,sK1),sK0(sK5,sK3,sK9(sK4,sK2,sK1))),
    inference(unit_resulting_resolution,[],[f76,f96,f95,f84,f86,f83,f87,f377]) ).

fof(f377,plain,
    ! [X2,X3,X0,X1] :
      ( ~ apply(compose_function(sK5,sK2,sK1,sK4,sK3),X1,X0)
      | ~ member(X1,sK1)
      | ~ member(X3,sK4)
      | ~ apply(sK5,X3,X0)
      | X1 = X2
      | ~ member(X2,sK1)
      | ~ apply(sK2,X2,X3)
      | ~ member(X0,sK3) ),
    inference(duplicate_literal_removal,[],[f371]) ).

fof(f371,plain,
    ! [X2,X3,X0,X1] :
      ( ~ apply(sK2,X2,X3)
      | ~ member(X0,sK3)
      | ~ member(X2,sK1)
      | ~ member(X2,sK1)
      | ~ apply(compose_function(sK5,sK2,sK1,sK4,sK3),X1,X0)
      | X1 = X2
      | ~ member(X3,sK4)
      | ~ apply(sK5,X3,X0)
      | ~ member(X1,sK1)
      | ~ member(X0,sK3) ),
    inference(resolution,[],[f94,f68]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( ~ apply(compose_function(sK5,sK2,sK1,sK4,sK3),X2,X1)
      | ~ member(X1,sK3)
      | ~ apply(compose_function(sK5,sK2,sK1,sK4,sK3),X0,X1)
      | X0 = X2
      | ~ member(X0,sK1)
      | ~ member(X2,sK1) ),
    inference(resolution,[],[f62,f75]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ apply(X1,X4,X5)
      | ~ member(X4,X2)
      | ~ injective(X1,X2,X0)
      | ~ member(X5,X0)
      | X3 = X4
      | ~ apply(X1,X3,X5)
      | ~ member(X3,X2) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f62,plain,
    injective(compose_function(sK5,sK2,sK1,sK4,sK3),sK1,sK3),
    inference(cnf_transformation,[],[f49]) ).

fof(f83,plain,
    sK7(sK4,sK2,sK1) != sK8(sK4,sK2,sK1),
    inference(resolution,[],[f61,f73]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( sK7(X0,X1,X2) != sK8(X0,X1,X2)
      | injective(X1,X2,X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f86,plain,
    member(sK7(sK4,sK2,sK1),sK1),
    inference(resolution,[],[f61,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( injective(X1,X2,X0)
      | member(sK7(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f84,plain,
    apply(sK2,sK7(sK4,sK2,sK1),sK9(sK4,sK2,sK1)),
    inference(resolution,[],[f61,f74]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( apply(X1,sK7(X0,X1,X2),sK9(X0,X1,X2))
      | injective(X1,X2,X0) ),
    inference(cnf_transformation,[],[f57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET721+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:24:00 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (31611)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.49  % (31619)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (31619)Instruction limit reached!
% 0.19/0.50  % (31619)------------------------------
% 0.19/0.50  % (31619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (31619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (31619)Termination reason: Unknown
% 0.19/0.50  % (31619)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (31619)Memory used [KB]: 6140
% 0.19/0.50  % (31619)Time elapsed: 0.084 s
% 0.19/0.50  % (31619)Instructions burned: 7 (million)
% 0.19/0.50  % (31619)------------------------------
% 0.19/0.50  % (31619)------------------------------
% 0.19/0.51  % (31611)First to succeed.
% 0.19/0.51  % (31615)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (31616)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51  % (31611)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (31611)------------------------------
% 0.19/0.51  % (31611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (31611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (31611)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (31611)Memory used [KB]: 6268
% 0.19/0.51  % (31611)Time elapsed: 0.086 s
% 0.19/0.51  % (31611)Instructions burned: 19 (million)
% 0.19/0.51  % (31611)------------------------------
% 0.19/0.51  % (31611)------------------------------
% 0.19/0.51  % (31603)Success in time 0.161 s
%------------------------------------------------------------------------------