TSTP Solution File: LCL670+1.001 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL670+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 : Sun May  5 07:51:23 EDT 2024

% Result   : Theorem 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  104 (  11 unt;   0 def)
%            Number of atoms       :  847 (   0 equ)
%            Maximal formula atoms :   58 (   8 avg)
%            Number of connectives : 1435 ( 692   ~; 538   |; 184   &)
%                                         (   6 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   8 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   7 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-1 aty)
%            Number of variables   :  495 ( 391   !; 104   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6157,plain,
    $false,
    inference(avatar_sat_refutation,[],[f97,f388,f1842,f3040,f6126,f6130,f6156]) ).

fof(f6156,plain,
    ~ spl18_38,
    inference(avatar_contradiction_clause,[],[f6155]) ).

fof(f6155,plain,
    ( $false
    | ~ spl18_38 ),
    inference(subsumption_resolution,[],[f6153,f241]) ).

fof(f241,plain,
    r1(sK11,sK3(sK11)),
    inference(resolution,[],[f108,f65]) ).

fof(f65,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

fof(f108,plain,
    ! [X0] :
      ( ~ r1(sK11,X0)
      | r1(X0,sK3(X0)) ),
    inference(resolution,[],[f39,f67]) ).

fof(f67,plain,
    sP2(sK11),
    inference(resolution,[],[f49,f60]) ).

fof(f60,plain,
    r1(sK9,sK11),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ! [X1] :
        ( ( p1(sK10(X1))
          & r1(X1,sK10(X1)) )
        | ! [X3] :
            ( ! [X4] :
                ( ~ p1(X4)
                | ~ r1(X3,X4) )
            | ~ r1(X1,X3) )
        | ~ r1(sK9,X1) )
    & ! [X6] :
        ( ( ~ p2(sK12(X6))
          & r1(X6,sK12(X6)) )
        | ~ r1(sK11,X6) )
    & r1(sK9,sK11)
    & ~ p1(sK14)
    & r1(sK13,sK14)
    & ! [X11] :
        ( p1(X11)
        | ~ r1(sK15,X11) )
    & r1(sK13,sK15)
    & r1(sK9,sK13)
    & ! [X12] :
        ( ( ~ p1(sK16(X12))
          & r1(X12,sK16(X12)) )
        | ! [X14] :
            ( ! [X15] :
                ( p1(X15)
                | ~ r1(X14,X15) )
            | ~ r1(X12,X14) )
        | ~ r1(sK9,X12) )
    & ! [X16] :
        ( ( ( ( ! [X18] :
                  ( ~ p2(X18)
                  | ~ r1(sK17(X16),X18) )
              & r1(X16,sK17(X16)) )
            | sP0(X16) )
          & sP1(X16)
          & sP2(X16) )
        | ~ r1(sK9,X16) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17])],[f13,f37,f36,f35,f34,f33,f32,f31,f30,f29]) ).

fof(f29,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( ? [X2] :
                ( p1(X2)
                & r1(X1,X2) )
            | ! [X3] :
                ( ! [X4] :
                    ( ~ p1(X4)
                    | ~ r1(X3,X4) )
                | ~ r1(X1,X3) )
            | ~ r1(X0,X1) )
        & ? [X5] :
            ( ! [X6] :
                ( ? [X7] :
                    ( ~ p2(X7)
                    & r1(X6,X7) )
                | ~ r1(X5,X6) )
            & r1(X0,X5) )
        & ? [X8] :
            ( ? [X9] :
                ( ~ p1(X9)
                & r1(X8,X9) )
            & ? [X10] :
                ( ! [X11] :
                    ( p1(X11)
                    | ~ r1(X10,X11) )
                & r1(X8,X10) )
            & r1(X0,X8) )
        & ! [X12] :
            ( ? [X13] :
                ( ~ p1(X13)
                & r1(X12,X13) )
            | ! [X14] :
                ( ! [X15] :
                    ( p1(X15)
                    | ~ r1(X14,X15) )
                | ~ r1(X12,X14) )
            | ~ r1(X0,X12) )
        & ! [X16] :
            ( ( ( ? [X17] :
                    ( ! [X18] :
                        ( ~ p2(X18)
                        | ~ r1(X17,X18) )
                    & r1(X16,X17) )
                | sP0(X16) )
              & sP1(X16)
              & sP2(X16) )
            | ~ r1(X0,X16) ) )
   => ( ! [X1] :
          ( ? [X2] :
              ( p1(X2)
              & r1(X1,X2) )
          | ! [X3] :
              ( ! [X4] :
                  ( ~ p1(X4)
                  | ~ r1(X3,X4) )
              | ~ r1(X1,X3) )
          | ~ r1(sK9,X1) )
      & ? [X5] :
          ( ! [X6] :
              ( ? [X7] :
                  ( ~ p2(X7)
                  & r1(X6,X7) )
              | ~ r1(X5,X6) )
          & r1(sK9,X5) )
      & ? [X8] :
          ( ? [X9] :
              ( ~ p1(X9)
              & r1(X8,X9) )
          & ? [X10] :
              ( ! [X11] :
                  ( p1(X11)
                  | ~ r1(X10,X11) )
              & r1(X8,X10) )
          & r1(sK9,X8) )
      & ! [X12] :
          ( ? [X13] :
              ( ~ p1(X13)
              & r1(X12,X13) )
          | ! [X14] :
              ( ! [X15] :
                  ( p1(X15)
                  | ~ r1(X14,X15) )
              | ~ r1(X12,X14) )
          | ~ r1(sK9,X12) )
      & ! [X16] :
          ( ( ( ? [X17] :
                  ( ! [X18] :
                      ( ~ p2(X18)
                      | ~ r1(X17,X18) )
                  & r1(X16,X17) )
              | sP0(X16) )
            & sP1(X16)
            & sP2(X16) )
          | ~ r1(sK9,X16) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ! [X1] :
      ( ? [X2] :
          ( p1(X2)
          & r1(X1,X2) )
     => ( p1(sK10(X1))
        & r1(X1,sK10(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ( ? [X5] :
        ( ! [X6] :
            ( ? [X7] :
                ( ~ p2(X7)
                & r1(X6,X7) )
            | ~ r1(X5,X6) )
        & r1(sK9,X5) )
   => ( ! [X6] :
          ( ? [X7] :
              ( ~ p2(X7)
              & r1(X6,X7) )
          | ~ r1(sK11,X6) )
      & r1(sK9,sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X6] :
      ( ? [X7] :
          ( ~ p2(X7)
          & r1(X6,X7) )
     => ( ~ p2(sK12(X6))
        & r1(X6,sK12(X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ( ? [X8] :
        ( ? [X9] :
            ( ~ p1(X9)
            & r1(X8,X9) )
        & ? [X10] :
            ( ! [X11] :
                ( p1(X11)
                | ~ r1(X10,X11) )
            & r1(X8,X10) )
        & r1(sK9,X8) )
   => ( ? [X9] :
          ( ~ p1(X9)
          & r1(sK13,X9) )
      & ? [X10] :
          ( ! [X11] :
              ( p1(X11)
              | ~ r1(X10,X11) )
          & r1(sK13,X10) )
      & r1(sK9,sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ( ? [X9] :
        ( ~ p1(X9)
        & r1(sK13,X9) )
   => ( ~ p1(sK14)
      & r1(sK13,sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ( ? [X10] :
        ( ! [X11] :
            ( p1(X11)
            | ~ r1(X10,X11) )
        & r1(sK13,X10) )
   => ( ! [X11] :
          ( p1(X11)
          | ~ r1(sK15,X11) )
      & r1(sK13,sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X12] :
      ( ? [X13] :
          ( ~ p1(X13)
          & r1(X12,X13) )
     => ( ~ p1(sK16(X12))
        & r1(X12,sK16(X12)) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X16] :
      ( ? [X17] :
          ( ! [X18] :
              ( ~ p2(X18)
              | ~ r1(X17,X18) )
          & r1(X16,X17) )
     => ( ! [X18] :
            ( ~ p2(X18)
            | ~ r1(sK17(X16),X18) )
        & r1(X16,sK17(X16)) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ? [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( p1(X2)
              & r1(X1,X2) )
          | ! [X3] :
              ( ! [X4] :
                  ( ~ p1(X4)
                  | ~ r1(X3,X4) )
              | ~ r1(X1,X3) )
          | ~ r1(X0,X1) )
      & ? [X5] :
          ( ! [X6] :
              ( ? [X7] :
                  ( ~ p2(X7)
                  & r1(X6,X7) )
              | ~ r1(X5,X6) )
          & r1(X0,X5) )
      & ? [X8] :
          ( ? [X9] :
              ( ~ p1(X9)
              & r1(X8,X9) )
          & ? [X10] :
              ( ! [X11] :
                  ( p1(X11)
                  | ~ r1(X10,X11) )
              & r1(X8,X10) )
          & r1(X0,X8) )
      & ! [X12] :
          ( ? [X13] :
              ( ~ p1(X13)
              & r1(X12,X13) )
          | ! [X14] :
              ( ! [X15] :
                  ( p1(X15)
                  | ~ r1(X14,X15) )
              | ~ r1(X12,X14) )
          | ~ r1(X0,X12) )
      & ! [X16] :
          ( ( ( ? [X17] :
                  ( ! [X18] :
                      ( ~ p2(X18)
                      | ~ r1(X17,X18) )
                  & r1(X16,X17) )
              | sP0(X16) )
            & sP1(X16)
            & sP2(X16) )
          | ~ r1(X0,X16) ) ),
    inference(definition_folding,[],[f9,f12,f11,f10]) ).

fof(f10,plain,
    ! [X16] :
      ( ! [X19] :
          ( ! [X20] :
              ( ? [X21] :
                  ( p2(X21)
                  & ? [X22] : r1(X21,X22)
                  & r1(X20,X21) )
              | ~ r1(X19,X20) )
          | ~ r1(X16,X19) )
      | ~ sP0(X16) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f11,plain,
    ! [X16] :
      ( ! [X23] :
          ( ! [X24] :
              ( ? [X25] :
                  ( ! [X26] :
                      ( ~ p2(X26)
                      | ~ r1(X25,X26) )
                  & r1(X24,X25) )
              | ~ r1(X23,X24) )
          | ~ p2(X23)
          | ! [X27] :
              ( ( p2(X27)
                & ? [X28] : r1(X27,X28) )
              | ~ r1(X23,X27) )
          | ~ r1(X16,X23) )
      | ~ sP1(X16) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ! [X16] :
      ( ! [X29] :
          ( ? [X30] :
              ( p2(X30)
              & ? [X31] : r1(X30,X31)
              & r1(X29,X30) )
          | ~ r1(X16,X29) )
      | ~ sP2(X16) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f9,plain,
    ? [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( p1(X2)
              & r1(X1,X2) )
          | ! [X3] :
              ( ! [X4] :
                  ( ~ p1(X4)
                  | ~ r1(X3,X4) )
              | ~ r1(X1,X3) )
          | ~ r1(X0,X1) )
      & ? [X5] :
          ( ! [X6] :
              ( ? [X7] :
                  ( ~ p2(X7)
                  & r1(X6,X7) )
              | ~ r1(X5,X6) )
          & r1(X0,X5) )
      & ? [X8] :
          ( ? [X9] :
              ( ~ p1(X9)
              & r1(X8,X9) )
          & ? [X10] :
              ( ! [X11] :
                  ( p1(X11)
                  | ~ r1(X10,X11) )
              & r1(X8,X10) )
          & r1(X0,X8) )
      & ! [X12] :
          ( ? [X13] :
              ( ~ p1(X13)
              & r1(X12,X13) )
          | ! [X14] :
              ( ! [X15] :
                  ( p1(X15)
                  | ~ r1(X14,X15) )
              | ~ r1(X12,X14) )
          | ~ r1(X0,X12) )
      & ! [X16] :
          ( ( ( ? [X17] :
                  ( ! [X18] :
                      ( ~ p2(X18)
                      | ~ r1(X17,X18) )
                  & r1(X16,X17) )
              | ! [X19] :
                  ( ! [X20] :
                      ( ? [X21] :
                          ( p2(X21)
                          & ? [X22] : r1(X21,X22)
                          & r1(X20,X21) )
                      | ~ r1(X19,X20) )
                  | ~ r1(X16,X19) ) )
            & ! [X23] :
                ( ! [X24] :
                    ( ? [X25] :
                        ( ! [X26] :
                            ( ~ p2(X26)
                            | ~ r1(X25,X26) )
                        & r1(X24,X25) )
                    | ~ r1(X23,X24) )
                | ~ p2(X23)
                | ! [X27] :
                    ( ( p2(X27)
                      & ? [X28] : r1(X27,X28) )
                    | ~ r1(X23,X27) )
                | ~ r1(X16,X23) )
            & ! [X29] :
                ( ? [X30] :
                    ( p2(X30)
                    & ? [X31] : r1(X30,X31)
                    & r1(X29,X30) )
                | ~ r1(X16,X29) ) )
          | ~ r1(X0,X16) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ? [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( p1(X2)
              & r1(X1,X2) )
          | ! [X3] :
              ( ! [X4] :
                  ( ~ p1(X4)
                  | ~ r1(X3,X4) )
              | ~ r1(X1,X3) )
          | ~ r1(X0,X1) )
      & ? [X5] :
          ( ! [X6] :
              ( ? [X7] :
                  ( ~ p2(X7)
                  & r1(X6,X7) )
              | ~ r1(X5,X6) )
          & r1(X0,X5) )
      & ? [X8] :
          ( ? [X9] :
              ( ~ p1(X9)
              & r1(X8,X9) )
          & ? [X10] :
              ( ! [X11] :
                  ( p1(X11)
                  | ~ r1(X10,X11) )
              & r1(X8,X10) )
          & r1(X0,X8) )
      & ! [X12] :
          ( ? [X13] :
              ( ~ p1(X13)
              & r1(X12,X13) )
          | ! [X14] :
              ( ! [X15] :
                  ( p1(X15)
                  | ~ r1(X14,X15) )
              | ~ r1(X12,X14) )
          | ~ r1(X0,X12) )
      & ! [X16] :
          ( ( ( ? [X17] :
                  ( ! [X18] :
                      ( ~ p2(X18)
                      | ~ r1(X17,X18) )
                  & r1(X16,X17) )
              | ! [X19] :
                  ( ! [X20] :
                      ( ? [X21] :
                          ( p2(X21)
                          & ? [X22] : r1(X21,X22)
                          & r1(X20,X21) )
                      | ~ r1(X19,X20) )
                  | ~ r1(X16,X19) ) )
            & ! [X23] :
                ( ! [X24] :
                    ( ? [X25] :
                        ( ! [X26] :
                            ( ~ p2(X26)
                            | ~ r1(X25,X26) )
                        & r1(X24,X25) )
                    | ~ r1(X23,X24) )
                | ~ p2(X23)
                | ! [X27] :
                    ( ( p2(X27)
                      & ? [X28] : r1(X27,X28) )
                    | ~ r1(X23,X27) )
                | ~ r1(X16,X23) )
            & ! [X29] :
                ( ? [X30] :
                    ( p2(X30)
                    & ? [X31] : r1(X30,X31)
                    & r1(X29,X30) )
                | ~ r1(X16,X29) ) )
          | ~ r1(X0,X16) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ? [X0] :
      ~ ( ~ ! [X1] :
              ( ~ ! [X2] :
                    ( ~ p1(X2)
                    | ~ r1(X1,X2) )
              | ! [X3] :
                  ( ! [X4] :
                      ( ~ p1(X4)
                      | ~ r1(X3,X4) )
                  | ~ r1(X1,X3) )
              | ~ r1(X0,X1) )
        | ! [X5] :
            ( ~ ! [X6] :
                  ( ~ ! [X7] :
                        ( p2(X7)
                        | ~ r1(X6,X7) )
                  | ~ r1(X5,X6) )
            | ~ r1(X0,X5) )
        | ! [X8] :
            ( ! [X9] :
                ( p1(X9)
                | ~ r1(X8,X9) )
            | ! [X10] :
                ( ~ ! [X11] :
                      ( p1(X11)
                      | ~ r1(X10,X11) )
                | ~ r1(X8,X10) )
            | ~ r1(X0,X8) )
        | ~ ! [X12] :
              ( ~ ( ! [X13] :
                      ( p1(X13)
                      | ~ r1(X12,X13) )
                  & ~ ! [X14] :
                        ( ! [X15] :
                            ( p1(X15)
                            | ~ r1(X14,X15) )
                        | ~ r1(X12,X14) ) )
              | ~ r1(X0,X12) )
        | ~ ! [X16] :
              ( ~ ( ( ! [X17] :
                        ( ~ ! [X18] :
                              ( ~ p2(X18)
                              | ~ r1(X17,X18) )
                        | ~ r1(X16,X17) )
                    & ~ ! [X19] :
                          ( ! [X20] :
                              ( ~ ! [X21] :
                                    ( ~ p2(X21)
                                    | ! [X22] : ~ r1(X21,X22)
                                    | ~ r1(X20,X21) )
                              | ~ r1(X19,X20) )
                          | ~ r1(X16,X19) ) )
                  | ~ ! [X23] :
                        ( ~ ( ~ ! [X24] :
                                  ( ~ ! [X25] :
                                        ( ~ ! [X26] :
                                              ( ~ p2(X26)
                                              | ~ r1(X25,X26) )
                                        | ~ r1(X24,X25) )
                                  | ~ r1(X23,X24) )
                            & p2(X23)
                            & ~ ! [X27] :
                                  ( ~ ( ~ p2(X27)
                                      | ! [X28] : ~ r1(X27,X28) )
                                  | ~ r1(X23,X27) ) )
                        | ~ r1(X16,X23) )
                  | ~ ! [X29] :
                        ( ~ ! [X30] :
                              ( ~ p2(X30)
                              | ! [X31] : ~ r1(X30,X31)
                              | ~ r1(X29,X30) )
                        | ~ r1(X16,X29) ) )
              | ~ r1(X0,X16) ) ),
    inference(pure_predicate_removal,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
      ~ ( ~ ! [X1] :
              ( ~ ! [X2] :
                    ( ~ p1(X2)
                    | ~ r1(X1,X2) )
              | ! [X3] :
                  ( ! [X4] :
                      ( ~ p1(X4)
                      | ~ r1(X3,X4) )
                  | ~ r1(X1,X3) )
              | ~ r1(X0,X1) )
        | ! [X5] :
            ( ~ ! [X6] :
                  ( ~ ! [X7] :
                        ( p2(X7)
                        | ~ r1(X6,X7) )
                  | ~ r1(X5,X6) )
            | ~ r1(X0,X5) )
        | ! [X8] :
            ( ! [X9] :
                ( p1(X9)
                | ~ r1(X8,X9) )
            | ! [X10] :
                ( ~ ! [X11] :
                      ( p1(X11)
                      | ~ r1(X10,X11) )
                | ~ r1(X8,X10) )
            | ~ r1(X0,X8) )
        | ~ ! [X12] :
              ( ~ ( ! [X13] :
                      ( p1(X13)
                      | ~ r1(X12,X13) )
                  & ~ ! [X14] :
                        ( ! [X15] :
                            ( p1(X15)
                            | ~ r1(X14,X15) )
                        | ~ r1(X12,X14) ) )
              | ~ r1(X0,X12) )
        | ~ ! [X16] :
              ( ~ ( ( ! [X17] :
                        ( ~ ! [X18] :
                              ( ~ p2(X18)
                              | ~ r1(X17,X18) )
                        | ~ r1(X16,X17) )
                    & ~ ! [X19] :
                          ( ! [X20] :
                              ( ~ ! [X21] :
                                    ( ~ p2(X21)
                                    | ! [X22] : ~ r1(X21,X22)
                                    | ~ r1(X20,X21) )
                              | ~ r1(X19,X20) )
                          | ~ r1(X16,X19) ) )
                  | ~ ! [X23] :
                        ( ~ ( ~ ! [X24] :
                                  ( ~ ! [X25] :
                                        ( ~ ! [X26] :
                                              ( ~ p2(X26)
                                              | ~ r1(X25,X26) )
                                        | ~ r1(X24,X25) )
                                  | ~ r1(X23,X24) )
                            & p2(X23)
                            & ~ ! [X27] :
                                  ( ~ ( ~ p2(X27)
                                      | ! [X28] : ~ r1(X27,X28) )
                                  | ~ r1(X23,X27) ) )
                        | ~ r1(X16,X23) )
                  | ~ ! [X29] :
                        ( ~ ! [X30] :
                              ( ~ p2(X30)
                              | ! [X31] : ~ r1(X30,X31)
                              | ~ r1(X29,X30) )
                        | ~ r1(X16,X29) ) )
              | ~ r1(X0,X16) )
        | ~ ! [X32] :
              ( ~ p4(X32)
              | ~ r1(X0,X32) ) ),
    inference(pure_predicate_removal,[],[f5]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ~ ! [X1] :
              ( ~ ! [X2] :
                    ( ~ p1(X2)
                    | ~ r1(X1,X2) )
              | ! [X3] :
                  ( ! [X4] :
                      ( ~ p1(X4)
                      | ~ r1(X3,X4) )
                  | ~ r1(X1,X3) )
              | ~ r1(X0,X1) )
        | ! [X5] :
            ( ~ ! [X6] :
                  ( ~ ! [X7] :
                        ( p2(X7)
                        | ~ r1(X6,X7) )
                  | ~ r1(X5,X6) )
            | ~ r1(X0,X5) )
        | ! [X8] :
            ( ! [X9] :
                ( p1(X9)
                | ~ r1(X8,X9) )
            | ! [X10] :
                ( ~ ! [X11] :
                      ( p1(X11)
                      | ~ r1(X10,X11) )
                | ~ r1(X8,X10) )
            | ~ r1(X0,X8) )
        | ~ ! [X12] :
              ( ~ ( ! [X13] :
                      ( p1(X13)
                      | ~ r1(X12,X13) )
                  & ~ ! [X14] :
                        ( ! [X15] :
                            ( p1(X15)
                            | ~ r1(X14,X15) )
                        | ~ r1(X12,X14) ) )
              | ~ r1(X0,X12) )
        | ~ ! [X16] :
              ( ~ ( ( ! [X17] :
                        ( ~ ! [X18] :
                              ( ~ p2(X18)
                              | ~ r1(X17,X18) )
                        | ~ r1(X16,X17) )
                    & ~ ! [X19] :
                          ( ! [X20] :
                              ( ~ ! [X21] :
                                    ( ~ p2(X21)
                                    | ! [X22] :
                                        ( p3(X22)
                                        | ~ r1(X21,X22) )
                                    | ~ r1(X20,X21) )
                              | ~ r1(X19,X20) )
                          | ~ r1(X16,X19) ) )
                  | ~ ! [X23] :
                        ( ~ ( ~ ! [X24] :
                                  ( ~ ! [X25] :
                                        ( ~ ! [X26] :
                                              ( ~ p2(X26)
                                              | ~ r1(X25,X26) )
                                        | ~ r1(X24,X25) )
                                  | ~ r1(X23,X24) )
                            & p2(X23)
                            & ~ ! [X27] :
                                  ( ~ ( ~ p2(X27)
                                      | ! [X28] :
                                          ( p3(X28)
                                          | ~ r1(X27,X28) ) )
                                  | ~ r1(X23,X27) ) )
                        | ~ r1(X16,X23) )
                  | ~ ! [X29] :
                        ( ~ ! [X30] :
                              ( ~ p2(X30)
                              | ! [X31] :
                                  ( p3(X31)
                                  | ~ r1(X30,X31) )
                              | ~ r1(X29,X30) )
                        | ~ r1(X16,X29) ) )
              | ~ r1(X0,X16) )
        | ~ ! [X32] :
              ( ~ p4(X32)
              | ~ r1(X0,X32) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ ! [X2] :
                        ( ~ p1(X2)
                        | ~ r1(X1,X2) )
                  | ! [X3] :
                      ( ! [X4] :
                          ( ~ p1(X4)
                          | ~ r1(X3,X4) )
                      | ~ r1(X1,X3) )
                  | ~ r1(X0,X1) )
            | ! [X5] :
                ( ~ ! [X6] :
                      ( ~ ! [X7] :
                            ( p2(X7)
                            | ~ r1(X6,X7) )
                      | ~ r1(X5,X6) )
                | ~ r1(X0,X5) )
            | ! [X8] :
                ( ! [X9] :
                    ( p1(X9)
                    | ~ r1(X8,X9) )
                | ! [X10] :
                    ( ~ ! [X11] :
                          ( p1(X11)
                          | ~ r1(X10,X11) )
                    | ~ r1(X8,X10) )
                | ~ r1(X0,X8) )
            | ~ ! [X12] :
                  ( ~ ( ! [X13] :
                          ( p1(X13)
                          | ~ r1(X12,X13) )
                      & ~ ! [X14] :
                            ( ! [X15] :
                                ( p1(X15)
                                | ~ r1(X14,X15) )
                            | ~ r1(X12,X14) ) )
                  | ~ r1(X0,X12) )
            | ~ ! [X16] :
                  ( ~ ( ( ! [X17] :
                            ( ~ ! [X18] :
                                  ( ~ p2(X18)
                                  | ~ r1(X17,X18) )
                            | ~ r1(X16,X17) )
                        & ~ ! [X19] :
                              ( ! [X20] :
                                  ( ~ ! [X21] :
                                        ( ~ p2(X21)
                                        | ! [X22] :
                                            ( p3(X22)
                                            | ~ r1(X21,X22) )
                                        | ~ r1(X20,X21) )
                                  | ~ r1(X19,X20) )
                              | ~ r1(X16,X19) ) )
                      | ~ ! [X23] :
                            ( ~ ( ~ ! [X24] :
                                      ( ~ ! [X25] :
                                            ( ~ ! [X26] :
                                                  ( ~ p2(X26)
                                                  | ~ r1(X25,X26) )
                                            | ~ r1(X24,X25) )
                                      | ~ r1(X23,X24) )
                                & p2(X23)
                                & ~ ! [X27] :
                                      ( ~ ( ~ p2(X27)
                                          | ! [X28] :
                                              ( p3(X28)
                                              | ~ r1(X27,X28) ) )
                                      | ~ r1(X23,X27) ) )
                            | ~ r1(X16,X23) )
                      | ~ ! [X29] :
                            ( ~ ! [X30] :
                                  ( ~ p2(X30)
                                  | ! [X31] :
                                      ( p3(X31)
                                      | ~ r1(X30,X31) )
                                  | ~ r1(X29,X30) )
                            | ~ r1(X16,X29) ) )
                  | ~ r1(X0,X16) )
            | ~ ! [X32] :
                  ( ~ p4(X32)
                  | ~ r1(X0,X32) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ! [X1] :
                  ( ~ ! [X0] :
                        ( ~ p1(X0)
                        | ~ r1(X1,X0) )
                  | ! [X0] :
                      ( ! [X1] :
                          ( ~ p1(X1)
                          | ~ r1(X0,X1) )
                      | ~ r1(X1,X0) )
                  | ~ r1(X0,X1) )
            | ! [X1] :
                ( ~ ! [X0] :
                      ( ~ ! [X1] :
                            ( p2(X1)
                            | ~ r1(X0,X1) )
                      | ~ r1(X1,X0) )
                | ~ r1(X0,X1) )
            | ! [X1] :
                ( ! [X0] :
                    ( p1(X0)
                    | ~ r1(X1,X0) )
                | ! [X0] :
                    ( ~ ! [X1] :
                          ( p1(X1)
                          | ~ r1(X0,X1) )
                    | ~ r1(X1,X0) )
                | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ( ! [X0] :
                          ( p1(X0)
                          | ~ r1(X1,X0) )
                      & ~ ! [X0] :
                            ( ! [X1] :
                                ( p1(X1)
                                | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ( ( ! [X0] :
                            ( ~ ! [X1] :
                                  ( ~ p2(X1)
                                  | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ! [X1] :
                                  ( ~ ! [X0] :
                                        ( ~ p2(X0)
                                        | ! [X1] :
                                            ( p3(X1)
                                            | ~ r1(X0,X1) )
                                        | ~ r1(X1,X0) )
                                  | ~ r1(X0,X1) )
                              | ~ r1(X1,X0) ) )
                      | ~ ! [X0] :
                            ( ~ ( ~ ! [X1] :
                                      ( ~ ! [X0] :
                                            ( ~ ! [X1] :
                                                  ( ~ p2(X1)
                                                  | ~ r1(X0,X1) )
                                            | ~ r1(X1,X0) )
                                      | ~ r1(X0,X1) )
                                & p2(X0)
                                & ~ ! [X1] :
                                      ( ~ ( ~ p2(X1)
                                          | ! [X0] :
                                              ( p3(X0)
                                              | ~ r1(X1,X0) ) )
                                      | ~ r1(X0,X1) ) )
                            | ~ r1(X1,X0) )
                      | ~ ! [X0] :
                            ( ~ ! [X1] :
                                  ( ~ p2(X1)
                                  | ! [X0] :
                                      ( p3(X0)
                                      | ~ r1(X1,X0) )
                                  | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ p4(X1)
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ~ ! [X1] :
                ( ~ ! [X0] :
                      ( ~ p1(X0)
                      | ~ r1(X1,X0) )
                | ! [X0] :
                    ( ! [X1] :
                        ( ~ p1(X1)
                        | ~ r1(X0,X1) )
                    | ~ r1(X1,X0) )
                | ~ r1(X0,X1) )
          | ! [X1] :
              ( ~ ! [X0] :
                    ( ~ ! [X1] :
                          ( p2(X1)
                          | ~ r1(X0,X1) )
                    | ~ r1(X1,X0) )
              | ~ r1(X0,X1) )
          | ! [X1] :
              ( ! [X0] :
                  ( p1(X0)
                  | ~ r1(X1,X0) )
              | ! [X0] :
                  ( ~ ! [X1] :
                        ( p1(X1)
                        | ~ r1(X0,X1) )
                  | ~ r1(X1,X0) )
              | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ( ! [X0] :
                        ( p1(X0)
                        | ~ r1(X1,X0) )
                    & ~ ! [X0] :
                          ( ! [X1] :
                              ( p1(X1)
                              | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ( ( ! [X0] :
                          ( ~ ! [X1] :
                                ( ~ p2(X1)
                                | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) )
                      & ~ ! [X0] :
                            ( ! [X1] :
                                ( ~ ! [X0] :
                                      ( ~ p2(X0)
                                      | ! [X1] :
                                          ( p3(X1)
                                          | ~ r1(X0,X1) )
                                      | ~ r1(X1,X0) )
                                | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                    | ~ ! [X0] :
                          ( ~ ( ~ ! [X1] :
                                    ( ~ ! [X0] :
                                          ( ~ ! [X1] :
                                                ( ~ p2(X1)
                                                | ~ r1(X0,X1) )
                                          | ~ r1(X1,X0) )
                                    | ~ r1(X0,X1) )
                              & p2(X0)
                              & ~ ! [X1] :
                                    ( ~ ( ~ p2(X1)
                                        | ! [X0] :
                                            ( p3(X0)
                                            | ~ r1(X1,X0) ) )
                                    | ~ r1(X0,X1) ) )
                          | ~ r1(X1,X0) )
                    | ~ ! [X0] :
                          ( ~ ! [X1] :
                                ( ~ p2(X1)
                                | ! [X0] :
                                    ( p3(X0)
                                    | ~ r1(X1,X0) )
                                | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ p4(X1)
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(f49,plain,
    ! [X16] :
      ( ~ r1(sK9,X16)
      | sP2(X16) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ sP2(X0)
      | ~ r1(X0,X1)
      | r1(X1,sK3(X1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( p2(sK3(X1))
            & r1(sK3(X1),sK4(X1))
            & r1(X1,sK3(X1)) )
          | ~ r1(X0,X1) )
      | ~ sP2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f15,f17,f16]) ).

fof(f16,plain,
    ! [X1] :
      ( ? [X2] :
          ( p2(X2)
          & ? [X3] : r1(X2,X3)
          & r1(X1,X2) )
     => ( p2(sK3(X1))
        & ? [X3] : r1(sK3(X1),X3)
        & r1(X1,sK3(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ! [X1] :
      ( ? [X3] : r1(sK3(X1),X3)
     => r1(sK3(X1),sK4(X1)) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] :
              ( p2(X2)
              & ? [X3] : r1(X2,X3)
              & r1(X1,X2) )
          | ~ r1(X0,X1) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,plain,
    ! [X16] :
      ( ! [X29] :
          ( ? [X30] :
              ( p2(X30)
              & ? [X31] : r1(X30,X31)
              & r1(X29,X30) )
          | ~ r1(X16,X29) )
      | ~ sP2(X16) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f6153,plain,
    ( ~ r1(sK11,sK3(sK11))
    | ~ spl18_38 ),
    inference(resolution,[],[f6139,f62]) ).

fof(f62,plain,
    ! [X6] :
      ( ~ p2(sK12(X6))
      | ~ r1(sK11,X6) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f6139,plain,
    ( p2(sK12(sK3(sK11)))
    | ~ spl18_38 ),
    inference(resolution,[],[f387,f253]) ).

fof(f253,plain,
    r1(sK3(sK11),sK12(sK3(sK11))),
    inference(resolution,[],[f241,f61]) ).

fof(f61,plain,
    ! [X6] :
      ( ~ r1(sK11,X6)
      | r1(X6,sK12(X6)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f387,plain,
    ( ! [X0] :
        ( ~ r1(sK3(sK11),X0)
        | p2(X0) )
    | ~ spl18_38 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl18_38
  <=> ! [X0] :
        ( p2(X0)
        | ~ r1(sK3(sK11),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).

fof(f6130,plain,
    ~ spl18_441,
    inference(avatar_contradiction_clause,[],[f6129]) ).

fof(f6129,plain,
    ( $false
    | ~ spl18_441 ),
    inference(subsumption_resolution,[],[f6128,f70]) ).

fof(f70,plain,
    sP1(sK11),
    inference(resolution,[],[f50,f60]) ).

fof(f50,plain,
    ! [X16] :
      ( ~ r1(sK9,X16)
      | sP1(X16) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f6128,plain,
    ( ~ sP1(sK11)
    | ~ spl18_441 ),
    inference(resolution,[],[f6125,f241]) ).

fof(f6125,plain,
    ( ! [X0] :
        ( ~ r1(X0,sK3(sK11))
        | ~ sP1(X0) )
    | ~ spl18_441 ),
    inference(avatar_component_clause,[],[f6124]) ).

fof(f6124,plain,
    ( spl18_441
  <=> ! [X0] :
        ( ~ sP1(X0)
        | ~ r1(X0,sK3(sK11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_441])]) ).

fof(f6126,plain,
    ( spl18_38
    | spl18_441
    | ~ spl18_228 ),
    inference(avatar_split_clause,[],[f6122,f2952,f6124,f386]) ).

fof(f2952,plain,
    ( spl18_228
  <=> ! [X2,X0,X1] :
        ( ~ r1(X0,sK3(sK11))
        | ~ sP1(X2)
        | ~ r1(X2,X0)
        | ~ r1(X0,X1)
        | p2(X1)
        | ~ p2(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_228])]) ).

fof(f6122,plain,
    ( ! [X0,X1] :
        ( ~ sP1(X0)
        | ~ r1(X0,sK3(sK11))
        | ~ r1(sK3(sK11),X1)
        | p2(X1) )
    | ~ spl18_228 ),
    inference(subsumption_resolution,[],[f6120,f142]) ).

fof(f142,plain,
    p2(sK3(sK11)),
    inference(resolution,[],[f75,f65]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ r1(sK11,X0)
      | p2(sK3(X0)) ),
    inference(resolution,[],[f41,f67]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ sP2(X0)
      | ~ r1(X0,X1)
      | p2(sK3(X1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f6120,plain,
    ( ! [X0,X1] :
        ( ~ sP1(X0)
        | ~ r1(X0,sK3(sK11))
        | ~ r1(sK3(sK11),X1)
        | p2(X1)
        | ~ p2(sK3(sK11)) )
    | ~ spl18_228 ),
    inference(resolution,[],[f2953,f65]) ).

fof(f2953,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1(X0,sK3(sK11))
        | ~ sP1(X2)
        | ~ r1(X2,X0)
        | ~ r1(X0,X1)
        | p2(X1)
        | ~ p2(X0) )
    | ~ spl18_228 ),
    inference(avatar_component_clause,[],[f2952]) ).

fof(f3040,plain,
    ( spl18_228
    | ~ spl18_4
    | ~ spl18_37 ),
    inference(avatar_split_clause,[],[f3039,f383,f94,f2952]) ).

fof(f94,plain,
    ( spl18_4
  <=> sP0(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).

fof(f383,plain,
    ( spl18_37
  <=> ! [X1] :
        ( ~ r1(sK3(sK11),X1)
        | r1(X1,sK5(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).

fof(f3039,plain,
    ( ! [X2,X0,X1] :
        ( ~ r1(X0,sK3(sK11))
        | ~ p2(X0)
        | p2(X1)
        | ~ r1(X0,X1)
        | ~ r1(X2,X0)
        | ~ sP1(X2) )
    | ~ spl18_4
    | ~ spl18_37 ),
    inference(subsumption_resolution,[],[f3036,f1902]) ).

fof(f1902,plain,
    ( p2(sK7(sK5(sK3(sK11))))
    | ~ spl18_4
    | ~ spl18_37 ),
    inference(resolution,[],[f1846,f1362]) ).

fof(f1362,plain,
    ( r1(sK3(sK11),sK5(sK3(sK11)))
    | ~ spl18_37 ),
    inference(resolution,[],[f384,f65]) ).

fof(f384,plain,
    ( ! [X1] :
        ( ~ r1(sK3(sK11),X1)
        | r1(X1,sK5(X1)) )
    | ~ spl18_37 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f1846,plain,
    ( ! [X0] :
        ( ~ r1(sK3(sK11),X0)
        | p2(sK7(X0)) )
    | ~ spl18_4 ),
    inference(resolution,[],[f1845,f241]) ).

fof(f1845,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK11,X0)
        | ~ r1(X0,X1)
        | p2(sK7(X1)) )
    | ~ spl18_4 ),
    inference(resolution,[],[f96,f48]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | p2(sK7(X2)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( p2(sK7(X2))
                & r1(sK7(X2),sK8(X2))
                & r1(X2,sK7(X2)) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f25,f27,f26]) ).

fof(f26,plain,
    ! [X2] :
      ( ? [X3] :
          ( p2(X3)
          & ? [X4] : r1(X3,X4)
          & r1(X2,X3) )
     => ( p2(sK7(X2))
        & ? [X4] : r1(sK7(X2),X4)
        & r1(X2,sK7(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ! [X2] :
      ( ? [X4] : r1(sK7(X2),X4)
     => r1(sK7(X2),sK8(X2)) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( p2(X3)
                  & ? [X4] : r1(X3,X4)
                  & r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f24]) ).

fof(f24,plain,
    ! [X16] :
      ( ! [X19] :
          ( ! [X20] :
              ( ? [X21] :
                  ( p2(X21)
                  & ? [X22] : r1(X21,X22)
                  & r1(X20,X21) )
              | ~ r1(X19,X20) )
          | ~ r1(X16,X19) )
      | ~ sP0(X16) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f96,plain,
    ( sP0(sK11)
    | ~ spl18_4 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f3036,plain,
    ( ! [X2,X0,X1] :
        ( ~ p2(sK7(sK5(sK3(sK11))))
        | ~ r1(X0,sK3(sK11))
        | ~ p2(X0)
        | p2(X1)
        | ~ r1(X0,X1)
        | ~ r1(X2,X0)
        | ~ sP1(X2) )
    | ~ spl18_4
    | ~ spl18_37 ),
    inference(resolution,[],[f1922,f45]) ).

fof(f45,plain,
    ! [X2,X0,X1,X4,X5] :
      ( ~ r1(sK5(X2),X4)
      | ~ p2(X4)
      | ~ r1(X1,X2)
      | ~ p2(X1)
      | p2(X5)
      | ~ r1(X1,X5)
      | ~ r1(X0,X1)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ! [X4] :
                    ( ~ p2(X4)
                    | ~ r1(sK5(X2),X4) )
                & r1(X2,sK5(X2)) )
              | ~ r1(X1,X2) )
          | ~ p2(X1)
          | ! [X5] :
              ( ( p2(X5)
                & r1(X5,sK6(X5)) )
              | ~ r1(X1,X5) )
          | ~ r1(X0,X1) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f20,f22,f21]) ).

fof(f21,plain,
    ! [X2] :
      ( ? [X3] :
          ( ! [X4] :
              ( ~ p2(X4)
              | ~ r1(X3,X4) )
          & r1(X2,X3) )
     => ( ! [X4] :
            ( ~ p2(X4)
            | ~ r1(sK5(X2),X4) )
        & r1(X2,sK5(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ! [X5] :
      ( ? [X6] : r1(X5,X6)
     => r1(X5,sK6(X5)) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( ! [X4] :
                      ( ~ p2(X4)
                      | ~ r1(X3,X4) )
                  & r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ p2(X1)
          | ! [X5] :
              ( ( p2(X5)
                & ? [X6] : r1(X5,X6) )
              | ~ r1(X1,X5) )
          | ~ r1(X0,X1) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X16] :
      ( ! [X23] :
          ( ! [X24] :
              ( ? [X25] :
                  ( ! [X26] :
                      ( ~ p2(X26)
                      | ~ r1(X25,X26) )
                  & r1(X24,X25) )
              | ~ r1(X23,X24) )
          | ~ p2(X23)
          | ! [X27] :
              ( ( p2(X27)
                & ? [X28] : r1(X27,X28) )
              | ~ r1(X23,X27) )
          | ~ r1(X16,X23) )
      | ~ sP1(X16) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f1922,plain,
    ( r1(sK5(sK3(sK11)),sK7(sK5(sK3(sK11))))
    | ~ spl18_4
    | ~ spl18_37 ),
    inference(resolution,[],[f1852,f1362]) ).

fof(f1852,plain,
    ( ! [X0] :
        ( ~ r1(sK3(sK11),X0)
        | r1(X0,sK7(X0)) )
    | ~ spl18_4 ),
    inference(resolution,[],[f1844,f241]) ).

fof(f1844,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK11,X0)
        | ~ r1(X0,X1)
        | r1(X1,sK7(X1)) )
    | ~ spl18_4 ),
    inference(resolution,[],[f96,f46]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1)
      | r1(X2,sK7(X2)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f1842,plain,
    ( spl18_4
    | ~ spl18_3 ),
    inference(avatar_split_clause,[],[f1841,f90,f94]) ).

fof(f90,plain,
    ( spl18_3
  <=> r1(sK11,sK17(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).

fof(f1841,plain,
    ( sP0(sK11)
    | ~ spl18_3 ),
    inference(subsumption_resolution,[],[f1840,f60]) ).

fof(f1840,plain,
    ( sP0(sK11)
    | ~ r1(sK9,sK11)
    | ~ spl18_3 ),
    inference(resolution,[],[f205,f239]) ).

fof(f239,plain,
    ( r1(sK17(sK11),sK3(sK17(sK11)))
    | ~ spl18_3 ),
    inference(resolution,[],[f108,f92]) ).

fof(f92,plain,
    ( r1(sK11,sK17(sK11))
    | ~ spl18_3 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f205,plain,
    ( ! [X0] :
        ( ~ r1(sK17(X0),sK3(sK17(sK11)))
        | sP0(X0)
        | ~ r1(sK9,X0) )
    | ~ spl18_3 ),
    inference(resolution,[],[f141,f52]) ).

fof(f52,plain,
    ! [X18,X16] :
      ( ~ p2(X18)
      | ~ r1(sK17(X16),X18)
      | sP0(X16)
      | ~ r1(sK9,X16) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f141,plain,
    ( p2(sK3(sK17(sK11)))
    | ~ spl18_3 ),
    inference(resolution,[],[f75,f92]) ).

fof(f388,plain,
    ( spl18_37
    | spl18_38 ),
    inference(avatar_split_clause,[],[f381,f386,f383]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( p2(X0)
      | ~ r1(sK3(sK11),X0)
      | ~ r1(sK3(sK11),X1)
      | r1(X1,sK5(X1)) ),
    inference(subsumption_resolution,[],[f376,f142]) ).

fof(f376,plain,
    ! [X0,X1] :
      ( ~ p2(sK3(sK11))
      | p2(X0)
      | ~ r1(sK3(sK11),X0)
      | ~ r1(sK3(sK11),X1)
      | r1(X1,sK5(X1)) ),
    inference(resolution,[],[f174,f241]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK11,X0)
      | ~ p2(X0)
      | p2(X2)
      | ~ r1(X0,X2)
      | ~ r1(X0,X1)
      | r1(X1,sK5(X1)) ),
    inference(resolution,[],[f43,f70]) ).

fof(f43,plain,
    ! [X2,X0,X1,X5] :
      ( ~ sP1(X0)
      | ~ r1(X1,X2)
      | ~ p2(X1)
      | p2(X5)
      | ~ r1(X1,X5)
      | ~ r1(X0,X1)
      | r1(X2,sK5(X2)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f97,plain,
    ( spl18_3
    | spl18_4 ),
    inference(avatar_split_clause,[],[f78,f94,f90]) ).

fof(f78,plain,
    ( sP0(sK11)
    | r1(sK11,sK17(sK11)) ),
    inference(resolution,[],[f51,f60]) ).

fof(f51,plain,
    ! [X16] :
      ( ~ r1(sK9,X16)
      | sP0(X16)
      | r1(X16,sK17(X16)) ),
    inference(cnf_transformation,[],[f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL670+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:00:33 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (20731)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (20732)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (20733)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (20735)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (20736)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (20734)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (20737)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (20738)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [3]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [5]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [5]
% 0.14/0.39  TRYING [5]
% 0.14/0.39  TRYING [5]
% 0.14/0.40  TRYING [6]
% 0.14/0.40  TRYING [6]
% 0.14/0.41  TRYING [6]
% 0.14/0.41  TRYING [6]
% 0.21/0.41  TRYING [7]
% 0.21/0.42  TRYING [7]
% 0.21/0.43  TRYING [7]
% 0.21/0.44  TRYING [7]
% 0.21/0.46  TRYING [8]
% 0.21/0.47  TRYING [8]
% 0.21/0.49  % (20737)First to succeed.
% 0.21/0.49  TRYING [8]
% 0.21/0.49  % (20737)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20731"
% 0.21/0.49  % (20737)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Theorem for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (20737)------------------------------
% 0.21/0.49  % (20737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.49  % (20737)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (20737)Memory used [KB]: 2998
% 0.21/0.49  % (20737)Time elapsed: 0.113 s
% 0.21/0.49  % (20737)Instructions burned: 222 (million)
% 0.21/0.49  % (20731)Success in time 0.13 s
%------------------------------------------------------------------------------