TSTP Solution File: LCL674+1.001 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL674+1.001 : TPTP v8.2.0. 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 : n018.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 : Tue May 21 00:21:17 EDT 2024

% Result   : Theorem 0.70s 0.90s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   41 (   7 unt;   0 def)
%            Number of atoms       :  477 (   0 equ)
%            Maximal formula atoms :   52 (  11 avg)
%            Number of connectives :  775 ( 339   ~; 270   |; 161   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :  116 (  94   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f74,f79]) ).

fof(f79,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f77,f47]) ).

fof(f47,plain,
    ( sP0(sK3)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl4_1
  <=> sP0(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f77,plain,
    ( ~ sP0(sK3)
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f76,f36]) ).

fof(f36,plain,
    p100(sK3),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( p100(sK3)
    & ~ p101(sK3)
    & ! [X1] :
        ( ( ( ~ p101(X1)
            | p100(X1) )
          & ( ~ p100(X1)
            | ( ( ~ p1(X1)
                | ! [X2] :
                    ( ~ p100(X2)
                    | p1(X2)
                    | ~ r1(X1,X2) ) )
              & ( p1(X1)
                | ! [X3] :
                    ( ~ p100(X3)
                    | ~ p1(X3)
                    | ~ r1(X1,X3) ) ) ) )
          & ( ~ p101(X1)
            | ( ( ~ p2(X1)
                | ! [X4] :
                    ( ~ p101(X4)
                    | p2(X4)
                    | ~ r1(X1,X4) ) )
              & ( p2(X1)
                | ! [X5] :
                    ( ~ p101(X5)
                    | ~ p2(X5)
                    | ~ r1(X1,X5) ) ) ) )
          & sP0(X1) )
        | ~ r1(sK3,X1) )
    & ! [X6] :
        ( p2(X6)
        | ~ r1(sK3,X6) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f19,f20]) ).

fof(f20,plain,
    ( ? [X0] :
        ( p100(X0)
        & ~ p101(X0)
        & ! [X1] :
            ( ( ( ~ p101(X1)
                | p100(X1) )
              & ( ~ p100(X1)
                | ( ( ~ p1(X1)
                    | ! [X2] :
                        ( ~ p100(X2)
                        | p1(X2)
                        | ~ r1(X1,X2) ) )
                  & ( p1(X1)
                    | ! [X3] :
                        ( ~ p100(X3)
                        | ~ p1(X3)
                        | ~ r1(X1,X3) ) ) ) )
              & ( ~ p101(X1)
                | ( ( ~ p2(X1)
                    | ! [X4] :
                        ( ~ p101(X4)
                        | p2(X4)
                        | ~ r1(X1,X4) ) )
                  & ( p2(X1)
                    | ! [X5] :
                        ( ~ p101(X5)
                        | ~ p2(X5)
                        | ~ r1(X1,X5) ) ) ) )
              & sP0(X1) )
            | ~ r1(X0,X1) )
        & ! [X6] :
            ( p2(X6)
            | ~ r1(X0,X6) ) )
   => ( p100(sK3)
      & ~ p101(sK3)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & sP0(X1) )
          | ~ r1(sK3,X1) )
      & ! [X6] :
          ( p2(X6)
          | ~ r1(sK3,X6) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f19,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & sP0(X1) )
          | ~ r1(X0,X1) )
      & ! [X6] :
          ( p2(X6)
          | ~ r1(X0,X6) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & sP0(X1) )
          | ~ r1(X0,X1) )
      & ! [X8] :
          ( p2(X8)
          | ~ r1(X0,X8) ) ),
    inference(definition_folding,[],[f9,f12]) ).

fof(f12,plain,
    ! [X1] :
      ( ~ p100(X1)
      | p101(X1)
      | ( ? [X6] :
            ( p101(X6)
            & p2(X6)
            & r1(X1,X6) )
        & ? [X7] :
            ( p101(X7)
            & ~ p2(X7)
            & r1(X1,X7) ) )
      | ~ sP0(X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f9,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & ( ~ p100(X1)
              | p101(X1)
              | ( ? [X6] :
                    ( p101(X6)
                    & p2(X6)
                    & r1(X1,X6) )
                & ? [X7] :
                    ( p101(X7)
                    & ~ p2(X7)
                    & r1(X1,X7) ) ) ) )
          | ~ r1(X0,X1) )
      & ! [X8] :
          ( p2(X8)
          | ~ r1(X0,X8) ) ),
    inference(flattening,[],[f8]) ).

fof(f8,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ( ( ~ p101(X1)
              | p100(X1) )
            & ( ~ p100(X1)
              | ( ( ~ p1(X1)
                  | ! [X2] :
                      ( ~ p100(X2)
                      | p1(X2)
                      | ~ r1(X1,X2) ) )
                & ( p1(X1)
                  | ! [X3] :
                      ( ~ p100(X3)
                      | ~ p1(X3)
                      | ~ r1(X1,X3) ) ) ) )
            & ( ~ p101(X1)
              | ( ( ~ p2(X1)
                  | ! [X4] :
                      ( ~ p101(X4)
                      | p2(X4)
                      | ~ r1(X1,X4) ) )
                & ( p2(X1)
                  | ! [X5] :
                      ( ~ p101(X5)
                      | ~ p2(X5)
                      | ~ r1(X1,X5) ) ) ) )
            & ( ~ p100(X1)
              | p101(X1)
              | ( ? [X6] :
                    ( p101(X6)
                    & p2(X6)
                    & r1(X1,X6) )
                & ? [X7] :
                    ( p101(X7)
                    & ~ p2(X7)
                    & r1(X1,X7) ) ) ) )
          | ~ r1(X0,X1) )
      & ! [X8] :
          ( p2(X8)
          | ~ r1(X0,X8) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ( ( ~ p101(X1)
                    | p100(X1) )
                  & ( ~ p100(X1)
                    | ( ( ~ p1(X1)
                        | ! [X2] :
                            ( ~ p100(X2)
                            | p1(X2)
                            | ~ r1(X1,X2) ) )
                      & ( p1(X1)
                        | ! [X3] :
                            ( ~ p100(X3)
                            | ~ p1(X3)
                            | ~ r1(X1,X3) ) ) ) )
                  & ( ~ p101(X1)
                    | ( ( ~ p2(X1)
                        | ! [X4] :
                            ( ~ p101(X4)
                            | p2(X4)
                            | ~ r1(X1,X4) ) )
                      & ( p2(X1)
                        | ! [X5] :
                            ( ~ p101(X5)
                            | ~ p2(X5)
                            | ~ r1(X1,X5) ) ) ) )
                  & ( ~ ( p100(X1)
                        & ~ p101(X1) )
                    | ( ~ ! [X6] :
                            ( ~ ( p101(X6)
                                & p2(X6) )
                            | ~ r1(X1,X6) )
                      & ~ ! [X7] :
                            ( ~ ( p101(X7)
                                & ~ p2(X7) )
                            | ~ r1(X1,X7) ) ) ) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X8] :
              ( p2(X8)
              | ~ r1(X0,X8) ) ),
    inference(pure_predicate_removal,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ( ( ~ p101(X1)
                    | p100(X1) )
                  & ( ~ p102(X1)
                    | p101(X1) )
                  & ( ~ p100(X1)
                    | ( ( ~ p1(X1)
                        | ! [X2] :
                            ( ~ p100(X2)
                            | p1(X2)
                            | ~ r1(X1,X2) ) )
                      & ( p1(X1)
                        | ! [X3] :
                            ( ~ p100(X3)
                            | ~ p1(X3)
                            | ~ r1(X1,X3) ) ) ) )
                  & ( ~ p101(X1)
                    | ( ( ~ p2(X1)
                        | ! [X4] :
                            ( ~ p101(X4)
                            | p2(X4)
                            | ~ r1(X1,X4) ) )
                      & ( p2(X1)
                        | ! [X5] :
                            ( ~ p101(X5)
                            | ~ p2(X5)
                            | ~ r1(X1,X5) ) ) ) )
                  & ( ~ ( p100(X1)
                        & ~ p101(X1) )
                    | ( ~ ! [X6] :
                            ( ~ ( p101(X6)
                                & ~ p102(X6)
                                & p2(X6) )
                            | ~ r1(X1,X6) )
                      & ~ ! [X7] :
                            ( ~ ( p101(X7)
                                & ~ p102(X7)
                                & ~ p2(X7) )
                            | ~ r1(X1,X7) ) ) ) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X8] :
              ( p2(X8)
              | ~ r1(X0,X8) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ( ( ~ p101(X1)
                        | p100(X1) )
                      & ( ~ p102(X1)
                        | p101(X1) )
                      & ( ~ p100(X1)
                        | ( ( ~ p1(X1)
                            | ! [X2] :
                                ( ~ p100(X2)
                                | p1(X2)
                                | ~ r1(X1,X2) ) )
                          & ( p1(X1)
                            | ! [X3] :
                                ( ~ p100(X3)
                                | ~ p1(X3)
                                | ~ r1(X1,X3) ) ) ) )
                      & ( ~ p101(X1)
                        | ( ( ~ p2(X1)
                            | ! [X4] :
                                ( ~ p101(X4)
                                | p2(X4)
                                | ~ r1(X1,X4) ) )
                          & ( p2(X1)
                            | ! [X5] :
                                ( ~ p101(X5)
                                | ~ p2(X5)
                                | ~ r1(X1,X5) ) ) ) )
                      & ( ~ ( p100(X1)
                            & ~ p101(X1) )
                        | ( ~ ! [X6] :
                                ( ~ ( p101(X6)
                                    & ~ p102(X6)
                                    & p2(X6) )
                                | ~ r1(X1,X6) )
                          & ~ ! [X7] :
                                ( ~ ( p101(X7)
                                    & ~ p102(X7)
                                    & ~ p2(X7) )
                                | ~ r1(X1,X7) ) ) ) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X8] :
                  ( p2(X8)
                  | ~ r1(X0,X8) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ( ( ~ p101(X1)
                        | p100(X1) )
                      & ( ~ p102(X1)
                        | p101(X1) )
                      & ( ~ p100(X1)
                        | ( ( ~ p1(X1)
                            | ! [X0] :
                                ( ~ p100(X0)
                                | p1(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p1(X1)
                            | ! [X0] :
                                ( ~ p100(X0)
                                | ~ p1(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ p101(X1)
                        | ( ( ~ p2(X1)
                            | ! [X0] :
                                ( ~ p101(X0)
                                | p2(X0)
                                | ~ r1(X1,X0) ) )
                          & ( p2(X1)
                            | ! [X0] :
                                ( ~ p101(X0)
                                | ~ p2(X0)
                                | ~ r1(X1,X0) ) ) ) )
                      & ( ~ ( p100(X1)
                            & ~ p101(X1) )
                        | ( ~ ! [X0] :
                                ( ~ ( p101(X0)
                                    & ~ p102(X0)
                                    & p2(X0) )
                                | ~ r1(X1,X0) )
                          & ~ ! [X0] :
                                ( ~ ( p101(X0)
                                    & ~ p102(X0)
                                    & ~ p2(X0) )
                                | ~ r1(X1,X0) ) ) ) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X1] :
                  ( p2(X1)
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( p100(X0)
              & ~ p101(X0)
              & ! [X1] :
                  ( ( ( ~ p101(X1)
                      | p100(X1) )
                    & ( ~ p102(X1)
                      | p101(X1) )
                    & ( ~ p100(X1)
                      | ( ( ~ p1(X1)
                          | ! [X0] :
                              ( ~ p100(X0)
                              | p1(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p1(X1)
                          | ! [X0] :
                              ( ~ p100(X0)
                              | ~ p1(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ p101(X1)
                      | ( ( ~ p2(X1)
                          | ! [X0] :
                              ( ~ p101(X0)
                              | p2(X0)
                              | ~ r1(X1,X0) ) )
                        & ( p2(X1)
                          | ! [X0] :
                              ( ~ p101(X0)
                              | ~ p2(X0)
                              | ~ r1(X1,X0) ) ) ) )
                    & ( ~ ( p100(X1)
                          & ~ p101(X1) )
                      | ( ~ ! [X0] :
                              ( ~ ( p101(X0)
                                  & ~ p102(X0)
                                  & p2(X0) )
                              | ~ r1(X1,X0) )
                        & ~ ! [X0] :
                              ( ~ ( p101(X0)
                                  & ~ p102(X0)
                                  & ~ p2(X0) )
                              | ~ r1(X1,X0) ) ) ) )
                  | ~ r1(X0,X1) ) )
          | ~ ! [X1] :
                ( p2(X1)
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f76,plain,
    ( ~ p100(sK3)
    | ~ sP0(sK3)
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f75,f35]) ).

fof(f35,plain,
    ~ p101(sK3),
    inference(cnf_transformation,[],[f21]) ).

fof(f75,plain,
    ( p101(sK3)
    | ~ p100(sK3)
    | ~ sP0(sK3)
    | ~ spl4_2 ),
    inference(resolution,[],[f52,f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ p2(sK2(X0))
      | p101(X0)
      | ~ p100(X0)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ( p101(sK1(X0))
        & p2(sK1(X0))
        & r1(X0,sK1(X0))
        & p101(sK2(X0))
        & ~ p2(sK2(X0))
        & r1(X0,sK2(X0)) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f15,f17,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ? [X1] :
          ( p101(X1)
          & p2(X1)
          & r1(X0,X1) )
     => ( p101(sK1(X0))
        & p2(sK1(X0))
        & r1(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ! [X0] :
      ( ? [X2] :
          ( p101(X2)
          & ~ p2(X2)
          & r1(X0,X2) )
     => ( p101(sK2(X0))
        & ~ p2(sK2(X0))
        & r1(X0,sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ( ? [X1] :
            ( p101(X1)
            & p2(X1)
            & r1(X0,X1) )
        & ? [X2] :
            ( p101(X2)
            & ~ p2(X2)
            & r1(X0,X2) ) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,plain,
    ! [X1] :
      ( ~ p100(X1)
      | p101(X1)
      | ( ? [X6] :
            ( p101(X6)
            & p2(X6)
            & r1(X1,X6) )
        & ? [X7] :
            ( p101(X7)
            & ~ p2(X7)
            & r1(X1,X7) ) )
      | ~ sP0(X1) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f52,plain,
    ( p2(sK2(sK3))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl4_2
  <=> p2(sK2(sK3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f74,plain,
    spl4_1,
    inference(avatar_split_clause,[],[f54,f46]) ).

fof(f54,plain,
    sP0(sK3),
    inference(resolution,[],[f29,f38]) ).

fof(f38,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f29,plain,
    ! [X1] :
      ( ~ r1(sK3,X1)
      | sP0(X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f53,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f44,f50,f46]) ).

fof(f44,plain,
    ( p2(sK2(sK3))
    | ~ sP0(sK3) ),
    inference(subsumption_resolution,[],[f43,f36]) ).

fof(f43,plain,
    ( p2(sK2(sK3))
    | ~ p100(sK3)
    | ~ sP0(sK3) ),
    inference(subsumption_resolution,[],[f42,f35]) ).

fof(f42,plain,
    ( p2(sK2(sK3))
    | p101(sK3)
    | ~ p100(sK3)
    | ~ sP0(sK3) ),
    inference(resolution,[],[f28,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( r1(X0,sK2(X0))
      | p101(X0)
      | ~ p100(X0)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f28,plain,
    ! [X6] :
      ( ~ r1(sK3,X6)
      | p2(X6) ),
    inference(cnf_transformation,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL674+1.001 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.15  % 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
% 0.15/0.39  % Computer : n018.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Mon May 20 03:21:53 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.15/0.39  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.39  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/benchmark/theBenchmark.p
% 0.70/0.90  % (6309)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 theBenchmark for (2994ds/34Mi)
% 0.70/0.90  % (6307)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.70/0.90  % (6310)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.70/0.90  % (6308)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.70/0.90  % (6305)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 theBenchmark for (2994ds/34Mi)
% 0.70/0.90  % (6311)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 theBenchmark for (2994ds/83Mi)
% 0.70/0.90  % (6312)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.70/0.90  % (6306)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 theBenchmark for (2994ds/51Mi)
% 0.70/0.90  % (6310)First to succeed.
% 0.70/0.90  % (6309)Also succeeded, but the first one will report.
% 0.70/0.90  % (6311)Also succeeded, but the first one will report.
% 0.70/0.90  % (6307)Also succeeded, but the first one will report.
% 0.70/0.90  % (6305)Also succeeded, but the first one will report.
% 0.70/0.90  % (6312)Also succeeded, but the first one will report.
% 0.70/0.90  % (6308)Also succeeded, but the first one will report.
% 0.70/0.90  % (6310)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6304"
% 0.70/0.90  % (6306)Also succeeded, but the first one will report.
% 0.70/0.90  % (6310)Refutation found. Thanks to Tanya!
% 0.70/0.90  % SZS status Theorem for theBenchmark
% 0.70/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.90  % (6310)------------------------------
% 0.70/0.90  % (6310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.90  % (6310)Termination reason: Refutation
% 0.70/0.90  
% 0.70/0.90  % (6310)Memory used [KB]: 991
% 0.70/0.90  % (6310)Time elapsed: 0.005 s
% 0.70/0.90  % (6310)Instructions burned: 5 (million)
% 0.70/0.90  % (6304)Success in time 0.507 s
% 0.70/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------