TSTP Solution File: LCL638+1.001 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 May  1 03:14:29 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   44 (   4 unt;   0 def)
%            Number of atoms       :  422 (   0 equ)
%            Maximal formula atoms :   60 (   9 avg)
%            Number of connectives :  761 ( 383   ~; 274   |;  94   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-1 aty)
%            Number of variables   :  246 ( 203   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f232,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f107,f231]) ).

fof(f231,plain,
    ~ spl8_7,
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f230,plain,
    ( $false
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f229,f28]) ).

fof(f28,plain,
    r1(sK0,sK1),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( ! [X2] :
        ( p1(X2)
        | ~ r1(sK1,X2) )
    & ~ p1(sK1)
    & r1(sK0,sK1)
    & ! [X3] :
        ( r1(X3,sK2(X3))
        | ~ r1(sK0,X3) )
    & ! [X5] :
        ( ( ~ p1(sK3(X5))
          & r1(X5,sK3(X5)) )
        | ! [X7] :
            ( ! [X8] :
                ( p1(X8)
                | ~ r1(X7,X8) )
            | ~ r1(X5,X7) )
        | ~ r1(sK0,X5) )
    & ! [X9] :
        ( ( ! [X11] :
              ( ~ p1(X11)
              | ~ r1(sK4(X9),X11) )
          & r1(X9,sK4(X9)) )
        | ! [X12] :
            ( ! [X13] :
                ( ( p1(sK5(X13))
                  & r1(X13,sK5(X13)) )
                | ~ r1(X12,X13) )
            | ~ r1(X9,X12) )
        | ~ r1(sK0,X9) )
    & ! [X15] :
        ( ~ p1(X15)
        | ! [X16] :
            ( ( p1(sK6(X16))
              & r1(X16,sK6(X16)) )
            | ~ r1(X15,X16) )
        | ~ r1(sK0,X15) )
    & ! [X18] :
        ( p1(X18)
        | ! [X19] :
            ( ( ~ p1(sK7(X19))
              & r1(X19,sK7(X19)) )
            | ~ r1(X18,X19) )
        | ~ r1(sK0,X18) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).

fof(f8,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ! [X2] :
                ( p1(X2)
                | ~ r1(X1,X2) )
            & ~ p1(X1)
            & r1(X0,X1) )
        & ! [X3] :
            ( ? [X4] : r1(X3,X4)
            | ~ r1(X0,X3) )
        & ! [X5] :
            ( ? [X6] :
                ( ~ p1(X6)
                & r1(X5,X6) )
            | ! [X7] :
                ( ! [X8] :
                    ( p1(X8)
                    | ~ r1(X7,X8) )
                | ~ r1(X5,X7) )
            | ~ r1(X0,X5) )
        & ! [X9] :
            ( ? [X10] :
                ( ! [X11] :
                    ( ~ p1(X11)
                    | ~ r1(X10,X11) )
                & r1(X9,X10) )
            | ! [X12] :
                ( ! [X13] :
                    ( ? [X14] :
                        ( p1(X14)
                        & r1(X13,X14) )
                    | ~ r1(X12,X13) )
                | ~ r1(X9,X12) )
            | ~ r1(X0,X9) )
        & ! [X15] :
            ( ~ p1(X15)
            | ! [X16] :
                ( ? [X17] :
                    ( p1(X17)
                    & r1(X16,X17) )
                | ~ r1(X15,X16) )
            | ~ r1(X0,X15) )
        & ! [X18] :
            ( p1(X18)
            | ! [X19] :
                ( ? [X20] :
                    ( ~ p1(X20)
                    & r1(X19,X20) )
                | ~ r1(X18,X19) )
            | ~ r1(X0,X18) ) )
   => ( ? [X1] :
          ( ! [X2] :
              ( p1(X2)
              | ~ r1(X1,X2) )
          & ~ p1(X1)
          & r1(sK0,X1) )
      & ! [X3] :
          ( ? [X4] : r1(X3,X4)
          | ~ r1(sK0,X3) )
      & ! [X5] :
          ( ? [X6] :
              ( ~ p1(X6)
              & r1(X5,X6) )
          | ! [X7] :
              ( ! [X8] :
                  ( p1(X8)
                  | ~ r1(X7,X8) )
              | ~ r1(X5,X7) )
          | ~ r1(sK0,X5) )
      & ! [X9] :
          ( ? [X10] :
              ( ! [X11] :
                  ( ~ p1(X11)
                  | ~ r1(X10,X11) )
              & r1(X9,X10) )
          | ! [X12] :
              ( ! [X13] :
                  ( ? [X14] :
                      ( p1(X14)
                      & r1(X13,X14) )
                  | ~ r1(X12,X13) )
              | ~ r1(X9,X12) )
          | ~ r1(sK0,X9) )
      & ! [X15] :
          ( ~ p1(X15)
          | ! [X16] :
              ( ? [X17] :
                  ( p1(X17)
                  & r1(X16,X17) )
              | ~ r1(X15,X16) )
          | ~ r1(sK0,X15) )
      & ! [X18] :
          ( p1(X18)
          | ! [X19] :
              ( ? [X20] :
                  ( ~ p1(X20)
                  & r1(X19,X20) )
              | ~ r1(X18,X19) )
          | ~ r1(sK0,X18) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X1] :
        ( ! [X2] :
            ( p1(X2)
            | ~ r1(X1,X2) )
        & ~ p1(X1)
        & r1(sK0,X1) )
   => ( ! [X2] :
          ( p1(X2)
          | ~ r1(sK1,X2) )
      & ~ p1(sK1)
      & r1(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ! [X3] :
      ( ? [X4] : r1(X3,X4)
     => r1(X3,sK2(X3)) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ! [X5] :
      ( ? [X6] :
          ( ~ p1(X6)
          & r1(X5,X6) )
     => ( ~ p1(sK3(X5))
        & r1(X5,sK3(X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ! [X9] :
      ( ? [X10] :
          ( ! [X11] :
              ( ~ p1(X11)
              | ~ r1(X10,X11) )
          & r1(X9,X10) )
     => ( ! [X11] :
            ( ~ p1(X11)
            | ~ r1(sK4(X9),X11) )
        & r1(X9,sK4(X9)) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ! [X13] :
      ( ? [X14] :
          ( p1(X14)
          & r1(X13,X14) )
     => ( p1(sK5(X13))
        & r1(X13,sK5(X13)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ! [X16] :
      ( ? [X17] :
          ( p1(X17)
          & r1(X16,X17) )
     => ( p1(sK6(X16))
        & r1(X16,sK6(X16)) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ! [X19] :
      ( ? [X20] :
          ( ~ p1(X20)
          & r1(X19,X20) )
     => ( ~ p1(sK7(X19))
        & r1(X19,sK7(X19)) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ? [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( p1(X2)
              | ~ r1(X1,X2) )
          & ~ p1(X1)
          & r1(X0,X1) )
      & ! [X3] :
          ( ? [X4] : r1(X3,X4)
          | ~ r1(X0,X3) )
      & ! [X5] :
          ( ? [X6] :
              ( ~ p1(X6)
              & r1(X5,X6) )
          | ! [X7] :
              ( ! [X8] :
                  ( p1(X8)
                  | ~ r1(X7,X8) )
              | ~ r1(X5,X7) )
          | ~ r1(X0,X5) )
      & ! [X9] :
          ( ? [X10] :
              ( ! [X11] :
                  ( ~ p1(X11)
                  | ~ r1(X10,X11) )
              & r1(X9,X10) )
          | ! [X12] :
              ( ! [X13] :
                  ( ? [X14] :
                      ( p1(X14)
                      & r1(X13,X14) )
                  | ~ r1(X12,X13) )
              | ~ r1(X9,X12) )
          | ~ r1(X0,X9) )
      & ! [X15] :
          ( ~ p1(X15)
          | ! [X16] :
              ( ? [X17] :
                  ( p1(X17)
                  & r1(X16,X17) )
              | ~ r1(X15,X16) )
          | ~ r1(X0,X15) )
      & ! [X18] :
          ( p1(X18)
          | ! [X19] :
              ( ? [X20] :
                  ( ~ p1(X20)
                  & r1(X19,X20) )
              | ~ r1(X18,X19) )
          | ~ r1(X0,X18) ) ),
    inference(flattening,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( p1(X2)
              | ~ r1(X1,X2) )
          & ~ p1(X1)
          & r1(X0,X1) )
      & ! [X3] :
          ( ? [X4] : r1(X3,X4)
          | ~ r1(X0,X3) )
      & ! [X5] :
          ( ? [X6] :
              ( ~ p1(X6)
              & r1(X5,X6) )
          | ! [X7] :
              ( ! [X8] :
                  ( p1(X8)
                  | ~ r1(X7,X8) )
              | ~ r1(X5,X7) )
          | ~ r1(X0,X5) )
      & ! [X9] :
          ( ? [X10] :
              ( ! [X11] :
                  ( ~ p1(X11)
                  | ~ r1(X10,X11) )
              & r1(X9,X10) )
          | ! [X12] :
              ( ! [X13] :
                  ( ? [X14] :
                      ( p1(X14)
                      & r1(X13,X14) )
                  | ~ r1(X12,X13) )
              | ~ r1(X9,X12) )
          | ~ r1(X0,X9) )
      & ! [X15] :
          ( ~ p1(X15)
          | ! [X16] :
              ( ? [X17] :
                  ( p1(X17)
                  & r1(X16,X17) )
              | ~ r1(X15,X16) )
          | ~ r1(X0,X15) )
      & ! [X18] :
          ( p1(X18)
          | ! [X19] :
              ( ? [X20] :
                  ( ~ p1(X20)
                  & r1(X19,X20) )
              | ~ r1(X18,X19) )
          | ~ r1(X0,X18) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ! [X1] :
            ( ~ ! [X2] :
                  ( p1(X2)
                  | ~ r1(X1,X2) )
            | p1(X1)
            | ~ r1(X0,X1) )
        | ~ ! [X3] :
              ( ~ ! [X4] : ~ r1(X3,X4)
              | ~ r1(X0,X3) )
        | ~ ! [X5] :
              ( ~ ( ! [X6] :
                      ( p1(X6)
                      | ~ r1(X5,X6) )
                  & ~ ! [X7] :
                        ( ! [X8] :
                            ( p1(X8)
                            | ~ r1(X7,X8) )
                        | ~ r1(X5,X7) ) )
              | ~ r1(X0,X5) )
        | ~ ! [X9] :
              ( ~ ( ! [X10] :
                      ( ~ ! [X11] :
                            ( ~ p1(X11)
                            | ~ r1(X10,X11) )
                      | ~ r1(X9,X10) )
                  & ~ ! [X12] :
                        ( ! [X13] :
                            ( ~ ! [X14] :
                                  ( ~ p1(X14)
                                  | ~ r1(X13,X14) )
                            | ~ r1(X12,X13) )
                        | ~ r1(X9,X12) ) )
              | ~ r1(X0,X9) )
        | ~ ! [X15] :
              ( ~ ( p1(X15)
                  & ~ ! [X16] :
                        ( ~ ! [X17] :
                              ( ~ p1(X17)
                              | ~ r1(X16,X17) )
                        | ~ r1(X15,X16) ) )
              | ~ r1(X0,X15) )
        | ~ ! [X18] :
              ( ~ ( ~ p1(X18)
                  & ~ ! [X19] :
                        ( ~ ! [X20] :
                              ( p1(X20)
                              | ~ r1(X19,X20) )
                        | ~ r1(X18,X19) ) )
              | ~ r1(X0,X18) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ! [X1] :
                ( ~ ! [X2] :
                      ( p1(X2)
                      | ~ r1(X1,X2) )
                | p1(X1)
                | ~ r1(X0,X1) )
            | ~ ! [X3] :
                  ( ~ ! [X4] : ~ r1(X3,X4)
                  | ~ r1(X0,X3) )
            | ~ ! [X5] :
                  ( ~ ( ! [X6] :
                          ( p1(X6)
                          | ~ r1(X5,X6) )
                      & ~ ! [X7] :
                            ( ! [X8] :
                                ( p1(X8)
                                | ~ r1(X7,X8) )
                            | ~ r1(X5,X7) ) )
                  | ~ r1(X0,X5) )
            | ~ ! [X9] :
                  ( ~ ( ! [X10] :
                          ( ~ ! [X11] :
                                ( ~ p1(X11)
                                | ~ r1(X10,X11) )
                          | ~ r1(X9,X10) )
                      & ~ ! [X12] :
                            ( ! [X13] :
                                ( ~ ! [X14] :
                                      ( ~ p1(X14)
                                      | ~ r1(X13,X14) )
                                | ~ r1(X12,X13) )
                            | ~ r1(X9,X12) ) )
                  | ~ r1(X0,X9) )
            | ~ ! [X15] :
                  ( ~ ( p1(X15)
                      & ~ ! [X16] :
                            ( ~ ! [X17] :
                                  ( ~ p1(X17)
                                  | ~ r1(X16,X17) )
                            | ~ r1(X15,X16) ) )
                  | ~ r1(X0,X15) )
            | ~ ! [X18] :
                  ( ~ ( ~ p1(X18)
                      & ~ ! [X19] :
                            ( ~ ! [X20] :
                                  ( p1(X20)
                                  | ~ r1(X19,X20) )
                            | ~ r1(X18,X19) ) )
                  | ~ r1(X0,X18) ) ),
    inference(true_and_false_elimination,[],[f3]) ).

fof(f3,plain,
    ~ ~ ? [X0] :
          ~ ( ! [X1] :
                ( ~ ! [X2] :
                      ( p1(X2)
                      | ~ r1(X1,X2) )
                | p1(X1)
                | ~ r1(X0,X1) )
            | ~ ! [X3] :
                  ( ~ ! [X4] :
                        ( $false
                        | ~ r1(X3,X4) )
                  | ~ r1(X0,X3) )
            | ~ ! [X5] :
                  ( ~ ( ! [X6] :
                          ( p1(X6)
                          | ~ r1(X5,X6) )
                      & ~ ! [X7] :
                            ( ! [X8] :
                                ( p1(X8)
                                | ~ r1(X7,X8) )
                            | ~ r1(X5,X7) ) )
                  | ~ r1(X0,X5) )
            | ~ ! [X9] :
                  ( ~ ( ! [X10] :
                          ( ~ ! [X11] :
                                ( ~ p1(X11)
                                | ~ r1(X10,X11) )
                          | ~ r1(X9,X10) )
                      & ~ ! [X12] :
                            ( ! [X13] :
                                ( ~ ! [X14] :
                                      ( ~ p1(X14)
                                      | ~ r1(X13,X14) )
                                | ~ r1(X12,X13) )
                            | ~ r1(X9,X12) ) )
                  | ~ r1(X0,X9) )
            | ~ ! [X15] :
                  ( ~ ( p1(X15)
                      & ~ ! [X16] :
                            ( ~ ! [X17] :
                                  ( ~ p1(X17)
                                  | ~ r1(X16,X17) )
                            | ~ r1(X15,X16) ) )
                  | ~ r1(X0,X15) )
            | ~ ! [X18] :
                  ( ~ ( ~ p1(X18)
                      & ~ ! [X19] :
                            ( ~ ! [X20] :
                                  ( p1(X20)
                                  | ~ r1(X19,X20) )
                            | ~ r1(X18,X19) ) )
                  | ~ r1(X0,X18) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ! [X1] :
                ( ~ ! [X0] :
                      ( p1(X0)
                      | ~ r1(X1,X0) )
                | p1(X1)
                | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ! [X0] :
                        ( $false
                        | ~ 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] :
                                ( ~ p1(X1)
                                | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) )
                      & ~ ! [X0] :
                            ( ! [X1] :
                                ( ~ ! [X0] :
                                      ( ~ p1(X0)
                                      | ~ r1(X1,X0) )
                                | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ( p1(X1)
                      & ~ ! [X0] :
                            ( ~ ! [X1] :
                                  ( ~ p1(X1)
                                  | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ( ~ p1(X1)
                      & ~ ! [X0] :
                            ( ~ ! [X1] :
                                  ( p1(X1)
                                  | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ? [X0] :
        ~ ( ! [X1] :
              ( ~ ! [X0] :
                    ( p1(X0)
                    | ~ r1(X1,X0) )
              | p1(X1)
              | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ! [X0] :
                      ( $false
                      | ~ 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] :
                              ( ~ p1(X1)
                              | ~ r1(X0,X1) )
                        | ~ r1(X1,X0) )
                    & ~ ! [X0] :
                          ( ! [X1] :
                              ( ~ ! [X0] :
                                    ( ~ p1(X0)
                                    | ~ r1(X1,X0) )
                              | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ( p1(X1)
                    & ~ ! [X0] :
                          ( ~ ! [X1] :
                                ( ~ p1(X1)
                                | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ( ~ p1(X1)
                    & ~ ! [X0] :
                          ( ~ ! [X1] :
                                ( p1(X1)
                                | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.YBGjtYyRdr/Vampire---4.8_5174',main) ).

fof(f229,plain,
    ( ~ r1(sK0,sK1)
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f228,f29]) ).

fof(f29,plain,
    ~ p1(sK1),
    inference(cnf_transformation,[],[f16]) ).

fof(f228,plain,
    ( p1(sK1)
    | ~ r1(sK0,sK1)
    | ~ spl8_7 ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f227,plain,
    ( p1(sK1)
    | ~ r1(sK0,sK1)
    | ~ r1(sK0,sK1)
    | ~ spl8_7 ),
    inference(resolution,[],[f200,f27]) ).

fof(f27,plain,
    ! [X3] :
      ( r1(X3,sK2(X3))
      | ~ r1(sK0,X3) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f200,plain,
    ( ! [X0] :
        ( ~ r1(X0,sK2(sK1))
        | p1(X0)
        | ~ r1(sK0,X0) )
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f177,f18]) ).

fof(f18,plain,
    ! [X18,X19] :
      ( ~ p1(sK7(X19))
      | p1(X18)
      | ~ r1(X18,X19)
      | ~ r1(sK0,X18) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f177,plain,
    ( ! [X0] :
        ( p1(sK7(sK2(sK1)))
        | p1(X0)
        | ~ r1(X0,sK2(sK1))
        | ~ r1(sK0,X0) )
    | ~ spl8_7 ),
    inference(resolution,[],[f131,f17]) ).

fof(f17,plain,
    ! [X18,X19] :
      ( r1(X19,sK7(X19))
      | p1(X18)
      | ~ r1(X18,X19)
      | ~ r1(sK0,X18) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f131,plain,
    ( ! [X0] :
        ( ~ r1(sK2(sK1),X0)
        | p1(X0) )
    | ~ spl8_7 ),
    inference(subsumption_resolution,[],[f123,f28]) ).

fof(f123,plain,
    ( ! [X0] :
        ( p1(X0)
        | ~ r1(sK2(sK1),X0)
        | ~ r1(sK0,sK1) )
    | ~ spl8_7 ),
    inference(resolution,[],[f71,f27]) ).

fof(f71,plain,
    ( ! [X0,X1] :
        ( ~ r1(sK1,X1)
        | p1(X0)
        | ~ r1(X1,X0) )
    | ~ spl8_7 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl8_7
  <=> ! [X0,X1] :
        ( p1(X0)
        | ~ r1(sK1,X1)
        | ~ r1(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).

fof(f107,plain,
    ( spl8_7
    | ~ spl8_6 ),
    inference(avatar_split_clause,[],[f106,f66,f70]) ).

fof(f66,plain,
    ( spl8_6
  <=> p1(sK3(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

fof(f106,plain,
    ( ! [X0,X1] :
        ( p1(X0)
        | ~ r1(X1,X0)
        | ~ r1(sK1,X1) )
    | ~ spl8_6 ),
    inference(subsumption_resolution,[],[f105,f28]) ).

fof(f105,plain,
    ( ! [X0,X1] :
        ( p1(X0)
        | ~ r1(X1,X0)
        | ~ r1(sK1,X1)
        | ~ r1(sK0,sK1) )
    | ~ spl8_6 ),
    inference(resolution,[],[f68,f26]) ).

fof(f26,plain,
    ! [X8,X7,X5] :
      ( ~ p1(sK3(X5))
      | p1(X8)
      | ~ r1(X7,X8)
      | ~ r1(X5,X7)
      | ~ r1(sK0,X5) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f68,plain,
    ( p1(sK3(sK1))
    | ~ spl8_6 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f72,plain,
    ( spl8_6
    | spl8_7 ),
    inference(avatar_split_clause,[],[f64,f70,f66]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( p1(X0)
      | ~ r1(X1,X0)
      | ~ r1(sK1,X1)
      | p1(sK3(sK1)) ),
    inference(subsumption_resolution,[],[f62,f28]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( p1(X0)
      | ~ r1(X1,X0)
      | ~ r1(sK1,X1)
      | ~ r1(sK0,sK1)
      | p1(sK3(sK1)) ),
    inference(resolution,[],[f25,f30]) ).

fof(f30,plain,
    ! [X2] :
      ( ~ r1(sK1,X2)
      | p1(X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f25,plain,
    ! [X8,X7,X5] :
      ( r1(X5,sK3(X5))
      | p1(X8)
      | ~ r1(X7,X8)
      | ~ r1(X5,X7)
      | ~ r1(sK0,X5) ),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL638+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 16:36:13 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.YBGjtYyRdr/Vampire---4.8_5174
% 0.55/0.75  % (5373)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (5375)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (5374)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.75  % (5376)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75  % (5377)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.75  % (5379)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.75  % (5380)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.75  % (5378)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75  % (5373)First to succeed.
% 0.55/0.75  % (5376)Also succeeded, but the first one will report.
% 0.55/0.75  % (5373)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (5373)------------------------------
% 0.55/0.75  % (5373)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (5373)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (5373)Memory used [KB]: 1122
% 0.55/0.75  % (5373)Time elapsed: 0.005 s
% 0.55/0.75  % (5373)Instructions burned: 12 (million)
% 0.55/0.75  % (5373)------------------------------
% 0.55/0.75  % (5373)------------------------------
% 0.55/0.75  % (5341)Success in time 0.395 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------