TSTP Solution File: KRS071+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n011.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 17:29:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   79 (   7 unt;   0 def)
%            Number of atoms       :  387 (  83 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  478 ( 170   ~; 182   |; 104   &)
%                                         (  12 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  132 (  93   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f272,plain,
    $false,
    inference(avatar_sat_refutation,[],[f182,f193,f210,f229,f244,f257,f271]) ).

fof(f271,plain,
    ( ~ spl7_2
    | ~ spl7_5 ),
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_5 ),
    inference(subsumption_resolution,[],[f269,f180]) ).

fof(f180,plain,
    ( sP0(i2003_11_14_17_18_39380)
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl7_2
  <=> sP0(i2003_11_14_17_18_39380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f269,plain,
    ( ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_5 ),
    inference(resolution,[],[f260,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( cp1(sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( sK3(X0) != sK2(X0)
          & sK3(X0) != sK1(X0)
          & sK2(X0) != sK1(X0)
          & rr(X0,sK3(X0))
          & rr(X0,sK2(X0))
          & rr(X0,sK1(X0)) )
        | ! [X4] :
            ( ~ cp2(X4)
            | ~ rr(X0,X4) )
        | ! [X5] :
            ( ~ rr(X0,X5)
            | ~ cp1(X5) )
        | ! [X6] :
            ( ~ rr(X0,X6)
            | ~ cp3(X6) ) )
      & ( ( ! [X7,X8,X9] :
              ( X8 = X9
              | X7 = X9
              | X7 = X8
              | ~ rr(X0,X9)
              | ~ rr(X0,X8)
              | ~ rr(X0,X7) )
          & cp2(sK4(X0))
          & rr(X0,sK4(X0))
          & rr(X0,sK5(X0))
          & cp1(sK5(X0))
          & rr(X0,sK6(X0))
          & cp3(sK6(X0)) )
        | ~ sP0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f78,f82,f81,f80,f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & X1 != X3
          & X1 != X2
          & rr(X0,X3)
          & rr(X0,X2)
          & rr(X0,X1) )
     => ( sK3(X0) != sK2(X0)
        & sK3(X0) != sK1(X0)
        & sK2(X0) != sK1(X0)
        & rr(X0,sK3(X0))
        & rr(X0,sK2(X0))
        & rr(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ? [X10] :
          ( cp2(X10)
          & rr(X0,X10) )
     => ( cp2(sK4(X0))
        & rr(X0,sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0] :
      ( ? [X11] :
          ( rr(X0,X11)
          & cp1(X11) )
     => ( rr(X0,sK5(X0))
        & cp1(sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0] :
      ( ? [X12] :
          ( rr(X0,X12)
          & cp3(X12) )
     => ( rr(X0,sK6(X0))
        & cp3(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2,X3] :
            ( X2 != X3
            & X1 != X3
            & X1 != X2
            & rr(X0,X3)
            & rr(X0,X2)
            & rr(X0,X1) )
        | ! [X4] :
            ( ~ cp2(X4)
            | ~ rr(X0,X4) )
        | ! [X5] :
            ( ~ rr(X0,X5)
            | ~ cp1(X5) )
        | ! [X6] :
            ( ~ rr(X0,X6)
            | ~ cp3(X6) ) )
      & ( ( ! [X7,X8,X9] :
              ( X8 = X9
              | X7 = X9
              | X7 = X8
              | ~ rr(X0,X9)
              | ~ rr(X0,X8)
              | ~ rr(X0,X7) )
          & ? [X10] :
              ( cp2(X10)
              & rr(X0,X10) )
          & ? [X11] :
              ( rr(X0,X11)
              & cp1(X11) )
          & ? [X12] :
              ( rr(X0,X12)
              & cp3(X12) ) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X5,X3,X4] :
            ( X3 != X4
            & X4 != X5
            & X3 != X5
            & rr(X0,X4)
            & rr(X0,X3)
            & rr(X0,X5) )
        | ! [X6] :
            ( ~ cp2(X6)
            | ~ rr(X0,X6) )
        | ! [X1] :
            ( ~ rr(X0,X1)
            | ~ cp1(X1) )
        | ! [X2] :
            ( ~ rr(X0,X2)
            | ~ cp3(X2) ) )
      & ( ( ! [X5,X3,X4] :
              ( X3 = X4
              | X4 = X5
              | X3 = X5
              | ~ rr(X0,X4)
              | ~ rr(X0,X3)
              | ~ rr(X0,X5) )
          & ? [X6] :
              ( cp2(X6)
              & rr(X0,X6) )
          & ? [X1] :
              ( rr(X0,X1)
              & cp1(X1) )
          & ? [X2] :
              ( rr(X0,X2)
              & cp3(X2) ) )
        | ~ sP0(X0) ) ),
    inference(flattening,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X5,X3,X4] :
            ( X3 != X4
            & X4 != X5
            & X3 != X5
            & rr(X0,X4)
            & rr(X0,X3)
            & rr(X0,X5) )
        | ! [X6] :
            ( ~ cp2(X6)
            | ~ rr(X0,X6) )
        | ! [X1] :
            ( ~ rr(X0,X1)
            | ~ cp1(X1) )
        | ! [X2] :
            ( ~ rr(X0,X2)
            | ~ cp3(X2) ) )
      & ( ( ! [X5,X3,X4] :
              ( X3 = X4
              | X4 = X5
              | X3 = X5
              | ~ rr(X0,X4)
              | ~ rr(X0,X3)
              | ~ rr(X0,X5) )
          & ? [X6] :
              ( cp2(X6)
              & rr(X0,X6) )
          & ? [X1] :
              ( rr(X0,X1)
              & cp1(X1) )
          & ? [X2] :
              ( rr(X0,X2)
              & cp3(X2) ) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] :
      ( sP0(X0)
    <=> ( ! [X5,X3,X4] :
            ( X3 = X4
            | X4 = X5
            | X3 = X5
            | ~ rr(X0,X4)
            | ~ rr(X0,X3)
            | ~ rr(X0,X5) )
        & ? [X6] :
            ( cp2(X6)
            & rr(X0,X6) )
        & ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X2] :
            ( rr(X0,X2)
            & cp3(X2) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f260,plain,
    ( ~ cp1(sK5(i2003_11_14_17_18_39380))
    | ~ spl7_5 ),
    inference(backward_demodulation,[],[f163,f206]) ).

fof(f206,plain,
    ( sK6(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380)
    | ~ spl7_5 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl7_5
  <=> sK6(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f163,plain,
    ~ cp1(sK6(i2003_11_14_17_18_39380)),
    inference(resolution,[],[f161,f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ cp3(X0)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ cp1(X0)
      | ( ~ cp5(X0)
        & ~ cp3(X0)
        & ~ cp4(X0)
        & ~ cp2(X0) ) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( cp1(X0)
     => ~ ( cp4(X0)
          | cp3(X0)
          | cp2(X0)
          | cp5(X0) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3] :
      ( cp1(X3)
     => ~ ( cp4(X3)
          | cp5(X3)
          | cp2(X3)
          | cp3(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f161,plain,
    cp3(sK6(i2003_11_14_17_18_39380)),
    inference(resolution,[],[f159,f129]) ).

fof(f129,plain,
    cUnsatisfiable(i2003_11_14_17_18_39380),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    cUnsatisfiable(i2003_11_14_17_18_39380),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f159,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cp3(sK6(X0)) ),
    inference(resolution,[],[f98,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ~ cUnsatisfiable(X0) )
      & ( cUnsatisfiable(X0)
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( sP0(X0)
    <=> cUnsatisfiable(X0) ),
    inference(definition_folding,[],[f71,f74]) ).

fof(f71,plain,
    ! [X0] :
      ( ( ! [X5,X3,X4] :
            ( X3 = X4
            | X4 = X5
            | X3 = X5
            | ~ rr(X0,X4)
            | ~ rr(X0,X3)
            | ~ rr(X0,X5) )
        & ? [X6] :
            ( cp2(X6)
            & rr(X0,X6) )
        & ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X2] :
            ( rr(X0,X2)
            & cp3(X2) ) )
    <=> cUnsatisfiable(X0) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X2] :
            ( rr(X0,X2)
            & cp3(X2) )
        & ? [X6] :
            ( cp2(X6)
            & rr(X0,X6) )
        & ! [X3,X4,X5] :
            ( X3 = X4
            | X3 = X5
            | X4 = X5
            | ~ rr(X0,X3)
            | ~ rr(X0,X5)
            | ~ rr(X0,X4) ) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X2] :
            ( rr(X0,X2)
            & cp3(X2) )
        & ? [X6] :
            ( cp2(X6)
            & rr(X0,X6) )
        & ! [X3,X4,X5] :
            ( ( rr(X0,X3)
              & rr(X0,X5)
              & rr(X0,X4) )
           => ( X3 = X4
              | X3 = X5
              | X4 = X5 ) ) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ? [X4] :
            ( rr(X3,X4)
            & cp1(X4) )
        & ? [X4] :
            ( cp3(X4)
            & rr(X3,X4) )
        & ! [X5,X6,X7] :
            ( ( rr(X3,X5)
              & rr(X3,X6)
              & rr(X3,X7) )
           => ( X5 = X7
              | X5 = X6
              | X6 = X7 ) )
        & ? [X4] :
            ( rr(X3,X4)
            & cp2(X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f98,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | cp3(sK6(X0)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f257,plain,
    ( ~ spl7_2
    | ~ spl7_9 ),
    inference(avatar_contradiction_clause,[],[f256]) ).

fof(f256,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f255,f180]) ).

fof(f255,plain,
    ( ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_2
    | ~ spl7_9 ),
    inference(resolution,[],[f254,f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ cp1(sK4(X0))
      | ~ sP0(X0) ),
    inference(resolution,[],[f103,f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ cp2(X0)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f103,plain,
    ! [X0] :
      ( cp2(sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f254,plain,
    ( cp1(sK4(i2003_11_14_17_18_39380))
    | ~ spl7_2
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f253,f180]) ).

fof(f253,plain,
    ( cp1(sK4(i2003_11_14_17_18_39380))
    | ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_9 ),
    inference(superposition,[],[f100,f228]) ).

fof(f228,plain,
    ( sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380)
    | ~ spl7_9 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl7_9
  <=> sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).

fof(f244,plain,
    ( ~ spl7_2
    | ~ spl7_8 ),
    inference(avatar_contradiction_clause,[],[f243]) ).

fof(f243,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_8 ),
    inference(subsumption_resolution,[],[f242,f180]) ).

fof(f242,plain,
    ( ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_8 ),
    inference(resolution,[],[f231,f103]) ).

fof(f231,plain,
    ( ~ cp2(sK4(i2003_11_14_17_18_39380))
    | ~ spl7_8 ),
    inference(backward_demodulation,[],[f162,f218]) ).

fof(f218,plain,
    ( sK6(i2003_11_14_17_18_39380) = sK4(i2003_11_14_17_18_39380)
    | ~ spl7_8 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl7_8
  <=> sK6(i2003_11_14_17_18_39380) = sK4(i2003_11_14_17_18_39380) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).

fof(f162,plain,
    ~ cp2(sK6(i2003_11_14_17_18_39380)),
    inference(resolution,[],[f161,f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ cp3(X0)
      | ~ cp2(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ cp2(X0)
      | ( ~ cp4(X0)
        & ~ cp5(X0)
        & ~ cp3(X0) ) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( cp2(X0)
     => ~ ( cp5(X0)
          | cp4(X0)
          | cp3(X0) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3] :
      ( cp2(X3)
     => ~ ( cp3(X3)
          | cp4(X3)
          | cp5(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f229,plain,
    ( spl7_9
    | spl7_8
    | ~ spl7_2
    | ~ spl7_6 ),
    inference(avatar_split_clause,[],[f224,f208,f179,f216,f226]) ).

fof(f208,plain,
    ( spl7_6
  <=> ! [X3] :
        ( sK6(i2003_11_14_17_18_39380) = X3
        | ~ rr(i2003_11_14_17_18_39380,X3)
        | sK5(i2003_11_14_17_18_39380) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f224,plain,
    ( sK6(i2003_11_14_17_18_39380) = sK4(i2003_11_14_17_18_39380)
    | sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380)
    | ~ spl7_2
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f221,f180]) ).

fof(f221,plain,
    ( sK6(i2003_11_14_17_18_39380) = sK4(i2003_11_14_17_18_39380)
    | sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380)
    | ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_6 ),
    inference(resolution,[],[f209,f102]) ).

fof(f102,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f209,plain,
    ( ! [X3] :
        ( ~ rr(i2003_11_14_17_18_39380,X3)
        | sK5(i2003_11_14_17_18_39380) = X3
        | sK6(i2003_11_14_17_18_39380) = X3 )
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f210,plain,
    ( spl7_5
    | spl7_6
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f202,f179,f176,f208,f204]) ).

fof(f176,plain,
    ( spl7_1
  <=> ! [X7,X8] :
        ( sK6(i2003_11_14_17_18_39380) = X7
        | ~ rr(i2003_11_14_17_18_39380,X7)
        | X7 = X8
        | ~ rr(i2003_11_14_17_18_39380,X8)
        | sK6(i2003_11_14_17_18_39380) = X8 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f202,plain,
    ( ! [X3] :
        ( sK6(i2003_11_14_17_18_39380) = X3
        | sK5(i2003_11_14_17_18_39380) = X3
        | ~ rr(i2003_11_14_17_18_39380,X3)
        | sK6(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380) )
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(subsumption_resolution,[],[f199,f180]) ).

fof(f199,plain,
    ( ! [X3] :
        ( sK6(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380)
        | sK5(i2003_11_14_17_18_39380) = X3
        | ~ rr(i2003_11_14_17_18_39380,X3)
        | sK6(i2003_11_14_17_18_39380) = X3
        | ~ sP0(i2003_11_14_17_18_39380) )
    | ~ spl7_1 ),
    inference(resolution,[],[f177,f101]) ).

fof(f101,plain,
    ! [X0] :
      ( rr(X0,sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f177,plain,
    ( ! [X8,X7] :
        ( ~ rr(i2003_11_14_17_18_39380,X7)
        | X7 = X8
        | sK6(i2003_11_14_17_18_39380) = X7
        | sK6(i2003_11_14_17_18_39380) = X8
        | ~ rr(i2003_11_14_17_18_39380,X8) )
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f193,plain,
    spl7_2,
    inference(avatar_contradiction_clause,[],[f192]) ).

fof(f192,plain,
    ( $false
    | spl7_2 ),
    inference(subsumption_resolution,[],[f191,f129]) ).

fof(f191,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
    | spl7_2 ),
    inference(resolution,[],[f181,f112]) ).

fof(f181,plain,
    ( ~ sP0(i2003_11_14_17_18_39380)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f182,plain,
    ( spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f174,f179,f176]) ).

fof(f174,plain,
    ! [X8,X7] :
      ( ~ sP0(i2003_11_14_17_18_39380)
      | sK6(i2003_11_14_17_18_39380) = X7
      | ~ rr(i2003_11_14_17_18_39380,X8)
      | sK6(i2003_11_14_17_18_39380) = X8
      | X7 = X8
      | ~ rr(i2003_11_14_17_18_39380,X7) ),
    inference(resolution,[],[f170,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( rr(X0,sK6(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f170,plain,
    ! [X2,X0,X1] :
      ( ~ rr(i2003_11_14_17_18_39380,X1)
      | ~ rr(i2003_11_14_17_18_39380,X0)
      | ~ rr(i2003_11_14_17_18_39380,X2)
      | X1 = X2
      | X0 = X1
      | X0 = X2 ),
    inference(resolution,[],[f169,f129]) ).

fof(f169,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | X1 = X2
      | X1 = X3
      | ~ rr(X0,X1)
      | ~ rr(X0,X3)
      | ~ rr(X0,X2)
      | X2 = X3 ),
    inference(resolution,[],[f104,f112]) ).

fof(f104,plain,
    ! [X0,X8,X9,X7] :
      ( ~ sP0(X0)
      | ~ rr(X0,X7)
      | X7 = X8
      | X8 = X9
      | ~ rr(X0,X9)
      | ~ rr(X0,X8)
      | X7 = X9 ),
    inference(cnf_transformation,[],[f83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n011.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 00:29:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (4065)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50  % (4073)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (4063)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50  % (4073)Instruction limit reached!
% 0.20/0.50  % (4073)------------------------------
% 0.20/0.50  % (4073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (4073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (4073)Termination reason: Unknown
% 0.20/0.50  % (4073)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (4073)Memory used [KB]: 6012
% 0.20/0.50  % (4073)Time elapsed: 0.005 s
% 0.20/0.50  % (4073)Instructions burned: 3 (million)
% 0.20/0.50  % (4073)------------------------------
% 0.20/0.50  % (4073)------------------------------
% 0.20/0.50  % (4065)Refutation not found, incomplete strategy% (4065)------------------------------
% 0.20/0.50  % (4065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (4065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (4065)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (4065)Memory used [KB]: 5884
% 0.20/0.51  % (4065)Time elapsed: 0.003 s
% 0.20/0.51  % (4065)Instructions burned: 2 (million)
% 0.20/0.51  % (4065)------------------------------
% 0.20/0.51  % (4065)------------------------------
% 0.20/0.51  % (4070)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)
% 0.20/0.51  % (4063)Refutation not found, incomplete strategy% (4063)------------------------------
% 0.20/0.51  % (4063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (4063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (4063)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (4063)Memory used [KB]: 5884
% 0.20/0.51  % (4063)Time elapsed: 0.002 s
% 0.20/0.51  % (4063)Instructions burned: 1 (million)
% 0.20/0.51  % (4063)------------------------------
% 0.20/0.51  % (4063)------------------------------
% 0.20/0.51  % (4081)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.51  % (4070)Refutation not found, incomplete strategy% (4070)------------------------------
% 0.20/0.51  % (4070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (4070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (4070)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (4070)Memory used [KB]: 6012
% 0.20/0.51  % (4070)Time elapsed: 0.115 s
% 0.20/0.51  % (4070)Instructions burned: 5 (million)
% 0.20/0.51  % (4070)------------------------------
% 0.20/0.51  % (4070)------------------------------
% 0.20/0.52  % (4082)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52  % (4082)Refutation not found, incomplete strategy% (4082)------------------------------
% 0.20/0.52  % (4082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (4071)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)
% 0.20/0.52  % (4082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (4082)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (4082)Memory used [KB]: 1535
% 0.20/0.52  % (4082)Time elapsed: 0.005 s
% 0.20/0.52  % (4082)Instructions burned: 3 (million)
% 0.20/0.52  % (4082)------------------------------
% 0.20/0.52  % (4082)------------------------------
% 0.20/0.52  % (4064)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52  % (4071)Refutation not found, incomplete strategy% (4071)------------------------------
% 0.20/0.52  % (4071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (4084)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.52  % (4061)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (4062)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (4061)Refutation not found, incomplete strategy% (4061)------------------------------
% 0.20/0.53  % (4061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (4061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (4061)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (4061)Memory used [KB]: 6012
% 0.20/0.53  % (4061)Time elapsed: 0.004 s
% 0.20/0.53  % (4061)Instructions burned: 2 (million)
% 0.20/0.53  % (4061)------------------------------
% 0.20/0.53  % (4061)------------------------------
% 0.20/0.53  % (4087)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (4078)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53  % (4087)Refutation not found, incomplete strategy% (4087)------------------------------
% 0.20/0.53  % (4087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (4087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (4087)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (4087)Memory used [KB]: 6012
% 0.20/0.53  % (4087)Time elapsed: 0.002 s
% 0.20/0.53  % (4087)Instructions burned: 2 (million)
% 0.20/0.53  % (4087)------------------------------
% 0.20/0.53  % (4087)------------------------------
% 0.20/0.53  % (4076)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (4071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (4071)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (4071)Memory used [KB]: 1535
% 0.20/0.53  % (4071)Time elapsed: 0.004 s
% 0.20/0.53  % (4071)Instructions burned: 2 (million)
% 0.20/0.53  % (4071)------------------------------
% 0.20/0.53  % (4071)------------------------------
% 0.20/0.53  % (4078)Refutation not found, incomplete strategy% (4078)------------------------------
% 0.20/0.53  % (4078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  % (4078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (4078)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (4078)Memory used [KB]: 5884
% 0.20/0.53  % (4078)Time elapsed: 0.003 s
% 0.20/0.53  % (4078)Instructions burned: 2 (million)
% 0.20/0.53  % (4078)------------------------------
% 0.20/0.53  % (4078)------------------------------
% 0.20/0.53  % (4064)Refutation not found, incomplete strategy% (4064)------------------------------
% 0.20/0.53  % (4064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (4064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (4064)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (4064)Memory used [KB]: 1535
% 0.20/0.53  % (4064)Time elapsed: 0.003 s
% 0.20/0.53  % (4064)Instructions burned: 2 (million)
% 0.20/0.53  % (4064)------------------------------
% 0.20/0.53  % (4064)------------------------------
% 0.20/0.53  % (4072)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (4084)First to succeed.
% 0.20/0.53  % (4086)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54  % (4066)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)
% 0.20/0.54  % (4059)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54  % (4077)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (4077)Refutation not found, incomplete strategy% (4077)------------------------------
% 0.20/0.54  % (4077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (4077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (4077)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (4077)Memory used [KB]: 5884
% 0.20/0.54  % (4077)Time elapsed: 0.001 s
% 0.20/0.54  % (4077)------------------------------
% 0.20/0.54  % (4077)------------------------------
% 0.20/0.54  % (4080)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (4066)Refutation not found, incomplete strategy% (4066)------------------------------
% 0.20/0.54  % (4066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (4066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (4066)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (4066)Memory used [KB]: 6012
% 0.20/0.54  % (4066)Time elapsed: 0.003 s
% 0.20/0.54  % (4066)Instructions burned: 3 (million)
% 0.20/0.54  % (4066)------------------------------
% 0.20/0.54  % (4066)------------------------------
% 0.20/0.54  % (4084)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (4084)------------------------------
% 0.20/0.54  % (4084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (4084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (4084)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (4084)Memory used [KB]: 6140
% 0.20/0.54  % (4084)Time elapsed: 0.134 s
% 0.20/0.54  % (4084)Instructions burned: 7 (million)
% 0.20/0.54  % (4084)------------------------------
% 0.20/0.54  % (4084)------------------------------
% 0.20/0.54  % (4056)Success in time 0.177 s
%------------------------------------------------------------------------------