TSTP Solution File: NLP143+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:55:41 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   91 (   7 unt;   0 def)
%            Number of atoms       :  595 (  53 equ)
%            Maximal formula atoms :   36 (   6 avg)
%            Number of connectives :  607 ( 103   ~;  86   |; 367   &)
%                                         (   4 <=>;  47  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   35 (  33 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :  329 ( 186   !; 143   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f419,plain,
    $false,
    inference(subsumption_resolution,[],[f417,f341]) ).

fof(f341,plain,
    member(sK5,sK9(sK3,sK5),sK3),
    inference(resolution,[],[f229,f222]) ).

fof(f222,plain,
    two(sK5,sK3),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ( old(sK5,sK1)
    & group(sK5,sK3)
    & two(sK5,sK3)
    & chevy(sK5,sK1)
    & event(sK5,sK0)
    & ! [X6] :
        ( ( frontseat(sK5,sK7(X6))
          & be(sK5,sK6(X6),X6,sK7(X6))
          & state(sK5,sK6(X6)) )
        | ~ member(sK5,X6,sK3) )
    & street(sK5,sK4)
    & city(sK5,sK1)
    & barrel(sK5,sK0)
    & placename(sK5,sK2)
    & of(sK5,sK2,sK1)
    & hollywood_placename(sK5,sK2)
    & ! [X9] :
        ( ~ member(sK5,X9,sK3)
        | ( fellow(sK5,X9)
          & young(sK5,X9) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f167,f169,f168]) ).

fof(f168,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( old(X5,X1)
        & group(X5,X3)
        & two(X5,X3)
        & chevy(X5,X1)
        & event(X5,X0)
        & ! [X6] :
            ( ? [X7,X8] :
                ( frontseat(X5,X8)
                & be(X5,X7,X6,X8)
                & state(X5,X7) )
            | ~ member(X5,X6,X3) )
        & street(X5,X4)
        & city(X5,X1)
        & barrel(X5,X0)
        & placename(X5,X2)
        & of(X5,X2,X1)
        & hollywood_placename(X5,X2)
        & ! [X9] :
            ( ~ member(X5,X9,X3)
            | ( fellow(X5,X9)
              & young(X5,X9) ) ) )
   => ( old(sK5,sK1)
      & group(sK5,sK3)
      & two(sK5,sK3)
      & chevy(sK5,sK1)
      & event(sK5,sK0)
      & ! [X6] :
          ( ? [X8,X7] :
              ( frontseat(sK5,X8)
              & be(sK5,X7,X6,X8)
              & state(sK5,X7) )
          | ~ member(sK5,X6,sK3) )
      & street(sK5,sK4)
      & city(sK5,sK1)
      & barrel(sK5,sK0)
      & placename(sK5,sK2)
      & of(sK5,sK2,sK1)
      & hollywood_placename(sK5,sK2)
      & ! [X9] :
          ( ~ member(sK5,X9,sK3)
          | ( fellow(sK5,X9)
            & young(sK5,X9) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ! [X6] :
      ( ? [X8,X7] :
          ( frontseat(sK5,X8)
          & be(sK5,X7,X6,X8)
          & state(sK5,X7) )
     => ( frontseat(sK5,sK7(X6))
        & be(sK5,sK6(X6),X6,sK7(X6))
        & state(sK5,sK6(X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f167,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( old(X5,X1)
      & group(X5,X3)
      & two(X5,X3)
      & chevy(X5,X1)
      & event(X5,X0)
      & ! [X6] :
          ( ? [X7,X8] :
              ( frontseat(X5,X8)
              & be(X5,X7,X6,X8)
              & state(X5,X7) )
          | ~ member(X5,X6,X3) )
      & street(X5,X4)
      & city(X5,X1)
      & barrel(X5,X0)
      & placename(X5,X2)
      & of(X5,X2,X1)
      & hollywood_placename(X5,X2)
      & ! [X9] :
          ( ~ member(X5,X9,X3)
          | ( fellow(X5,X9)
            & young(X5,X9) ) ) ),
    inference(rectify,[],[f163]) ).

fof(f163,plain,
    ? [X2,X4,X1,X3,X5,X0] :
      ( old(X0,X4)
      & group(X0,X3)
      & two(X0,X3)
      & chevy(X0,X4)
      & event(X0,X2)
      & ! [X6] :
          ( ? [X7,X8] :
              ( frontseat(X0,X8)
              & be(X0,X7,X6,X8)
              & state(X0,X7) )
          | ~ member(X0,X6,X3) )
      & street(X0,X5)
      & city(X0,X4)
      & barrel(X0,X2)
      & placename(X0,X1)
      & of(X0,X1,X4)
      & hollywood_placename(X0,X1)
      & ! [X9] :
          ( ~ member(X0,X9,X3)
          | ( fellow(X0,X9)
            & young(X0,X9) ) ) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,plain,
    ? [X0,X3,X2,X5,X4,X1] :
      ( group(X0,X3)
      & of(X0,X1,X4)
      & placename(X0,X1)
      & two(X0,X3)
      & barrel(X0,X2)
      & chevy(X0,X4)
      & city(X0,X4)
      & ! [X6] :
          ( member(X0,X6,X3)
         => ? [X7,X8] :
              ( frontseat(X0,X8)
              & be(X0,X7,X6,X8)
              & state(X0,X7) ) )
      & street(X0,X5)
      & event(X0,X2)
      & hollywood_placename(X0,X1)
      & old(X0,X4)
      & ! [X9] :
          ( member(X0,X9,X3)
         => ( fellow(X0,X9)
            & young(X0,X9) ) ) ),
    inference(pure_predicate_removal,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X2,X5,X4,X1] :
          ( group(X0,X3)
          & of(X0,X1,X4)
          & placename(X0,X1)
          & two(X0,X3)
          & barrel(X0,X2)
          & chevy(X0,X4)
          & city(X0,X4)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ? [X7,X8] :
                  ( frontseat(X0,X8)
                  & be(X0,X7,X6,X8)
                  & state(X0,X7) ) )
          & street(X0,X5)
          & event(X0,X2)
          & hollywood_placename(X0,X1)
          & old(X0,X4)
          & ! [X9] :
              ( member(X0,X9,X3)
             => ( fellow(X0,X9)
                & young(X0,X9) ) ) ) ),
    inference(pure_predicate_removal,[],[f97]) ).

fof(f97,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X2,X5,X4,X1] :
          ( group(X0,X3)
          & of(X0,X1,X4)
          & placename(X0,X1)
          & two(X0,X3)
          & barrel(X0,X2)
          & chevy(X0,X4)
          & city(X0,X4)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ? [X7,X8] :
                  ( frontseat(X0,X8)
                  & be(X0,X7,X6,X8)
                  & state(X0,X7) ) )
          & street(X0,X5)
          & white(X0,X4)
          & event(X0,X2)
          & hollywood_placename(X0,X1)
          & old(X0,X4)
          & ! [X9] :
              ( member(X0,X9,X3)
             => ( fellow(X0,X9)
                & young(X0,X9) ) ) ) ),
    inference(pure_predicate_removal,[],[f96]) ).

fof(f96,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X2,X5,X4,X1] :
          ( group(X0,X3)
          & of(X0,X1,X4)
          & placename(X0,X1)
          & two(X0,X3)
          & barrel(X0,X2)
          & dirty(X0,X4)
          & chevy(X0,X4)
          & city(X0,X4)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ? [X7,X8] :
                  ( frontseat(X0,X8)
                  & be(X0,X7,X6,X8)
                  & state(X0,X7) ) )
          & street(X0,X5)
          & white(X0,X4)
          & event(X0,X2)
          & hollywood_placename(X0,X1)
          & old(X0,X4)
          & ! [X9] :
              ( member(X0,X9,X3)
             => ( fellow(X0,X9)
                & young(X0,X9) ) ) ) ),
    inference(pure_predicate_removal,[],[f95]) ).

fof(f95,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X2,X5,X4,X1] :
          ( group(X0,X3)
          & of(X0,X1,X4)
          & placename(X0,X1)
          & two(X0,X3)
          & barrel(X0,X2)
          & dirty(X0,X4)
          & chevy(X0,X4)
          & city(X0,X4)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ? [X7,X8] :
                  ( frontseat(X0,X8)
                  & be(X0,X7,X6,X8)
                  & state(X0,X7) ) )
          & lonely(X0,X5)
          & street(X0,X5)
          & white(X0,X4)
          & event(X0,X2)
          & hollywood_placename(X0,X1)
          & old(X0,X4)
          & ! [X9] :
              ( member(X0,X9,X3)
             => ( fellow(X0,X9)
                & young(X0,X9) ) ) ) ),
    inference(pure_predicate_removal,[],[f94]) ).

fof(f94,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X2,X5,X4,X1] :
          ( group(X0,X3)
          & of(X0,X1,X4)
          & placename(X0,X1)
          & two(X0,X3)
          & barrel(X0,X2)
          & dirty(X0,X4)
          & chevy(X0,X4)
          & city(X0,X4)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ? [X7,X8] :
                  ( frontseat(X0,X8)
                  & be(X0,X7,X6,X8)
                  & state(X0,X7) ) )
          & lonely(X0,X5)
          & street(X0,X5)
          & white(X0,X4)
          & event(X0,X2)
          & agent(X0,X2,X4)
          & hollywood_placename(X0,X1)
          & old(X0,X4)
          & ! [X9] :
              ( member(X0,X9,X3)
             => ( fellow(X0,X9)
                & young(X0,X9) ) ) ) ),
    inference(pure_predicate_removal,[],[f93]) ).

fof(f93,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X2,X5,X4,X1] :
          ( group(X0,X3)
          & of(X0,X1,X4)
          & placename(X0,X1)
          & present(X0,X2)
          & two(X0,X3)
          & barrel(X0,X2)
          & dirty(X0,X4)
          & chevy(X0,X4)
          & city(X0,X4)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ? [X7,X8] :
                  ( frontseat(X0,X8)
                  & be(X0,X7,X6,X8)
                  & state(X0,X7) ) )
          & lonely(X0,X5)
          & street(X0,X5)
          & white(X0,X4)
          & event(X0,X2)
          & agent(X0,X2,X4)
          & hollywood_placename(X0,X1)
          & old(X0,X4)
          & ! [X9] :
              ( member(X0,X9,X3)
             => ( fellow(X0,X9)
                & young(X0,X9) ) ) ) ),
    inference(pure_predicate_removal,[],[f92]) ).

fof(f92,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X2,X5,X4,X1] :
          ( group(X0,X3)
          & of(X0,X1,X4)
          & down(X0,X2,X5)
          & placename(X0,X1)
          & present(X0,X2)
          & two(X0,X3)
          & barrel(X0,X2)
          & dirty(X0,X4)
          & chevy(X0,X4)
          & city(X0,X4)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ? [X7,X8] :
                  ( frontseat(X0,X8)
                  & be(X0,X7,X6,X8)
                  & state(X0,X7) ) )
          & lonely(X0,X5)
          & street(X0,X5)
          & white(X0,X4)
          & event(X0,X2)
          & agent(X0,X2,X4)
          & hollywood_placename(X0,X1)
          & old(X0,X4)
          & ! [X9] :
              ( member(X0,X9,X3)
             => ( fellow(X0,X9)
                & young(X0,X9) ) ) ) ),
    inference(pure_predicate_removal,[],[f65]) ).

fof(f65,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X2,X5,X4,X1] :
          ( group(X0,X3)
          & of(X0,X1,X4)
          & down(X0,X2,X5)
          & placename(X0,X1)
          & present(X0,X2)
          & two(X0,X3)
          & barrel(X0,X2)
          & dirty(X0,X4)
          & chevy(X0,X4)
          & city(X0,X4)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ? [X8,X7] :
                  ( in(X0,X8,X8)
                  & state(X0,X7)
                  & be(X0,X7,X6,X8)
                  & frontseat(X0,X8) ) )
          & lonely(X0,X5)
          & street(X0,X5)
          & white(X0,X4)
          & event(X0,X2)
          & in(X0,X2,X4)
          & agent(X0,X2,X4)
          & hollywood_placename(X0,X1)
          & old(X0,X4)
          & ! [X9] :
              ( member(X0,X9,X3)
             => ( fellow(X0,X9)
                & young(X0,X9) ) ) ) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ~ ~ ? [X0] :
          ( actual_world(X0)
          & ? [X3,X2,X5,X4,X1] :
              ( group(X0,X3)
              & of(X0,X1,X4)
              & down(X0,X2,X5)
              & placename(X0,X1)
              & present(X0,X2)
              & two(X0,X3)
              & barrel(X0,X2)
              & dirty(X0,X4)
              & chevy(X0,X4)
              & city(X0,X4)
              & ! [X6] :
                  ( member(X0,X6,X3)
                 => ? [X8,X7] :
                      ( in(X0,X8,X8)
                      & state(X0,X7)
                      & be(X0,X7,X6,X8)
                      & frontseat(X0,X8) ) )
              & lonely(X0,X5)
              & street(X0,X5)
              & white(X0,X4)
              & event(X0,X2)
              & in(X0,X2,X4)
              & agent(X0,X2,X4)
              & hollywood_placename(X0,X1)
              & old(X0,X4)
              & ! [X9] :
                  ( member(X0,X9,X3)
                 => ( fellow(X0,X9)
                    & young(X0,X9) ) ) ) ),
    inference(rectify,[],[f63]) ).

fof(f63,negated_conjecture,
    ~ ~ ? [X0] :
          ( ? [X1,X4,X5,X2,X3] :
              ( lonely(X0,X3)
              & hollywood_placename(X0,X1)
              & event(X0,X4)
              & chevy(X0,X2)
              & agent(X0,X4,X2)
              & group(X0,X5)
              & placename(X0,X1)
              & old(X0,X2)
              & of(X0,X1,X2)
              & down(X0,X4,X3)
              & city(X0,X2)
              & street(X0,X3)
              & two(X0,X5)
              & white(X0,X2)
              & barrel(X0,X4)
              & present(X0,X4)
              & ! [X6] :
                  ( member(X0,X6,X5)
                 => ? [X8,X7] :
                      ( in(X0,X8,X8)
                      & state(X0,X7)
                      & be(X0,X7,X6,X8)
                      & frontseat(X0,X8) ) )
              & dirty(X0,X2)
              & in(X0,X4,X2)
              & ! [X9] :
                  ( member(X0,X9,X5)
                 => ( fellow(X0,X9)
                    & young(X0,X9) ) ) )
          & actual_world(X0) ),
    inference(negated_conjecture,[],[f62]) ).

fof(f62,conjecture,
    ~ ? [X0] :
        ( ? [X1,X4,X5,X2,X3] :
            ( lonely(X0,X3)
            & hollywood_placename(X0,X1)
            & event(X0,X4)
            & chevy(X0,X2)
            & agent(X0,X4,X2)
            & group(X0,X5)
            & placename(X0,X1)
            & old(X0,X2)
            & of(X0,X1,X2)
            & down(X0,X4,X3)
            & city(X0,X2)
            & street(X0,X3)
            & two(X0,X5)
            & white(X0,X2)
            & barrel(X0,X4)
            & present(X0,X4)
            & ! [X6] :
                ( member(X0,X6,X5)
               => ? [X8,X7] :
                    ( in(X0,X8,X8)
                    & state(X0,X7)
                    & be(X0,X7,X6,X8)
                    & frontseat(X0,X8) ) )
            & dirty(X0,X2)
            & in(X0,X4,X2)
            & ! [X9] :
                ( member(X0,X9,X5)
               => ( fellow(X0,X9)
                  & young(X0,X9) ) ) )
        & actual_world(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ two(X1,X0)
      | member(X1,sK9(X0,X1),X0) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ( two(X1,X0)
        | ! [X2] :
            ( ~ member(X1,X2,X0)
            | ! [X3] :
                ( ~ member(X1,X3,X0)
                | ( member(X1,sK8(X0,X1,X2,X3),X0)
                  & sK8(X0,X1,X2,X3) != X2
                  & sK8(X0,X1,X2,X3) != X3 )
                | X2 = X3 ) ) )
      & ( ( member(X1,sK9(X0,X1),X0)
          & member(X1,sK10(X0,X1),X0)
          & ! [X7] :
              ( ~ member(X1,X7,X0)
              | sK9(X0,X1) = X7
              | sK10(X0,X1) = X7 )
          & sK9(X0,X1) != sK10(X0,X1) )
        | ~ two(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f173,f176,f175,f174]) ).

fof(f174,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( member(X1,X4,X0)
          & X2 != X4
          & X3 != X4 )
     => ( member(X1,sK8(X0,X1,X2,X3),X0)
        & sK8(X0,X1,X2,X3) != X2
        & sK8(X0,X1,X2,X3) != X3 ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( member(X1,X5,X0)
          & ? [X6] :
              ( member(X1,X6,X0)
              & ! [X7] :
                  ( ~ member(X1,X7,X0)
                  | X5 = X7
                  | X6 = X7 )
              & X5 != X6 ) )
     => ( member(X1,sK9(X0,X1),X0)
        & ? [X6] :
            ( member(X1,X6,X0)
            & ! [X7] :
                ( ~ member(X1,X7,X0)
                | sK9(X0,X1) = X7
                | X6 = X7 )
            & sK9(X0,X1) != X6 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ? [X6] :
          ( member(X1,X6,X0)
          & ! [X7] :
              ( ~ member(X1,X7,X0)
              | sK9(X0,X1) = X7
              | X6 = X7 )
          & sK9(X0,X1) != X6 )
     => ( member(X1,sK10(X0,X1),X0)
        & ! [X7] :
            ( ~ member(X1,X7,X0)
            | sK9(X0,X1) = X7
            | sK10(X0,X1) = X7 )
        & sK9(X0,X1) != sK10(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ( two(X1,X0)
        | ! [X2] :
            ( ~ member(X1,X2,X0)
            | ! [X3] :
                ( ~ member(X1,X3,X0)
                | ? [X4] :
                    ( member(X1,X4,X0)
                    & X2 != X4
                    & X3 != X4 )
                | X2 = X3 ) ) )
      & ( ? [X5] :
            ( member(X1,X5,X0)
            & ? [X6] :
                ( member(X1,X6,X0)
                & ! [X7] :
                    ( ~ member(X1,X7,X0)
                    | X5 = X7
                    | X6 = X7 )
                & X5 != X6 ) )
        | ~ two(X1,X0) ) ),
    inference(rectify,[],[f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ( two(X1,X0)
        | ! [X2] :
            ( ~ member(X1,X2,X0)
            | ! [X3] :
                ( ~ member(X1,X3,X0)
                | ? [X4] :
                    ( member(X1,X4,X0)
                    & X2 != X4
                    & X3 != X4 )
                | X2 = X3 ) ) )
      & ( ? [X2] :
            ( member(X1,X2,X0)
            & ? [X3] :
                ( member(X1,X3,X0)
                & ! [X4] :
                    ( ~ member(X1,X4,X0)
                    | X2 = X4
                    | X3 = X4 )
                & X2 != X3 ) )
        | ~ two(X1,X0) ) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( two(X1,X0)
    <=> ? [X2] :
          ( member(X1,X2,X0)
          & ? [X3] :
              ( member(X1,X3,X0)
              & ! [X4] :
                  ( ~ member(X1,X4,X0)
                  | X2 = X4
                  | X3 = X4 )
              & X2 != X3 ) ) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( member(X1,X3,X0)
              & X2 != X3
              & ! [X4] :
                  ( X3 = X4
                  | X2 = X4
                  | ~ member(X1,X4,X0) ) )
          & member(X1,X2,X0) )
    <=> two(X1,X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( member(X1,X3,X0)
              & X2 != X3
              & ! [X4] :
                  ( member(X1,X4,X0)
                 => ( X3 = X4
                    | X2 = X4 ) ) )
          & member(X1,X2,X0) )
    <=> two(X1,X0) ),
    inference(rectify,[],[f60]) ).

fof(f60,axiom,
    ! [X1,X0] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( ? [X3] :
              ( member(X0,X3,X1)
              & X2 != X3
              & ! [X4] :
                  ( member(X0,X4,X1)
                 => ( X3 = X4
                    | X2 = X4 ) ) )
          & member(X0,X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(f417,plain,
    ~ member(sK5,sK9(sK3,sK5),sK3),
    inference(resolution,[],[f415,f373]) ).

fof(f373,plain,
    ! [X1] :
      ( ~ object(sK5,X1)
      | ~ member(sK5,X1,sK3) ),
    inference(resolution,[],[f371,f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( unisex(X1,X0)
      | ~ object(X1,X0) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( ~ object(X1,X0)
      | unisex(X1,X0) ),
    inference(rectify,[],[f146]) ).

fof(f146,plain,
    ! [X1,X0] :
      ( ~ object(X0,X1)
      | unisex(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( object(X0,X1)
     => unisex(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f371,plain,
    ! [X0] :
      ( ~ unisex(sK5,X0)
      | ~ member(sK5,X0,sK3) ),
    inference(resolution,[],[f303,f320]) ).

fof(f320,plain,
    ! [X0] :
      ( man(sK5,X0)
      | ~ member(sK5,X0,sK3) ),
    inference(resolution,[],[f287,f210]) ).

fof(f210,plain,
    ! [X9] :
      ( fellow(sK5,X9)
      | ~ member(sK5,X9,sK3) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ~ fellow(X0,X1)
      | man(X0,X1) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ fellow(X0,X1)
      | man(X0,X1) ),
    inference(rectify,[],[f148]) ).

fof(f148,plain,
    ! [X1,X0] :
      ( ~ fellow(X1,X0)
      | man(X1,X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( fellow(X1,X0)
     => man(X1,X0) ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X1,X0] :
      ( fellow(X0,X1)
     => man(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ man(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[],[f272,f238]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ male(X1,X0)
      | ~ unisex(X1,X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ male(X1,X0)
      | ~ unisex(X1,X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( unisex(X1,X0)
     => ~ male(X1,X0) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X1,X0] :
      ( unisex(X0,X1)
     => ~ male(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

fof(f272,plain,
    ! [X0,X1] :
      ( male(X1,X0)
      | ~ man(X1,X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ man(X1,X0)
      | male(X1,X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( man(X1,X0)
     => male(X1,X0) ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X1,X0] :
      ( man(X0,X1)
     => male(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f415,plain,
    object(sK5,sK9(sK3,sK5)),
    inference(resolution,[],[f307,f352]) ).

fof(f352,plain,
    instrumentality(sK5,sK9(sK3,sK5)),
    inference(subsumption_resolution,[],[f343,f341]) ).

fof(f343,plain,
    ( ~ member(sK5,sK9(sK3,sK5),sK3)
    | instrumentality(sK5,sK9(sK3,sK5)) ),
    inference(superposition,[],[f296,f342]) ).

fof(f342,plain,
    sK7(sK9(sK3,sK5)) = sK9(sK3,sK5),
    inference(resolution,[],[f341,f324]) ).

fof(f324,plain,
    ! [X0] :
      ( ~ member(sK5,X0,sK3)
      | sK7(X0) = X0 ),
    inference(resolution,[],[f278,f218]) ).

fof(f218,plain,
    ! [X6] :
      ( be(sK5,sK6(X6),X6,sK7(X6))
      | ~ member(sK5,X6,sK3) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ be(X0,X2,X3,X1)
      | X1 = X3 ),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,plain,
    ! [X0,X1,X2,X3] :
      ( ~ be(X0,X2,X3,X1)
      | X1 = X3 ),
    inference(rectify,[],[f161]) ).

fof(f161,plain,
    ! [X2,X1,X0,X3] :
      ( ~ be(X2,X0,X3,X1)
      | X1 = X3 ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1] :
      ( be(X2,X0,X3,X1)
     => X1 = X3 ),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X1,X3,X0,X2] :
      ( be(X0,X1,X2,X3)
     => X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(f296,plain,
    ! [X0] :
      ( instrumentality(sK5,sK7(X0))
      | ~ member(sK5,X0,sK3) ),
    inference(resolution,[],[f295,f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ furniture(X1,X0)
      | instrumentality(X1,X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( instrumentality(X1,X0)
      | ~ furniture(X1,X0) ),
    inference(rectify,[],[f164]) ).

fof(f164,plain,
    ! [X1,X0] :
      ( instrumentality(X0,X1)
      | ~ furniture(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( furniture(X0,X1)
     => instrumentality(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f295,plain,
    ! [X0] :
      ( furniture(sK5,sK7(X0))
      | ~ member(sK5,X0,sK3) ),
    inference(resolution,[],[f254,f292]) ).

fof(f292,plain,
    ! [X0] :
      ( seat(sK5,sK7(X0))
      | ~ member(sK5,X0,sK3) ),
    inference(resolution,[],[f249,f219]) ).

fof(f219,plain,
    ! [X6] :
      ( frontseat(sK5,sK7(X6))
      | ~ member(sK5,X6,sK3) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( ~ frontseat(X0,X1)
      | seat(X0,X1) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ frontseat(X0,X1)
      | seat(X0,X1) ),
    inference(rectify,[],[f140]) ).

fof(f140,plain,
    ! [X1,X0] :
      ( ~ frontseat(X1,X0)
      | seat(X1,X0) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X1,X0] :
      ( frontseat(X1,X0)
     => seat(X1,X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( frontseat(X0,X1)
     => seat(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ~ seat(X1,X0)
      | furniture(X1,X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( furniture(X1,X0)
      | ~ seat(X1,X0) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ! [X1,X0] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] :
      ( seat(X0,X1)
     => furniture(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ~ instrumentality(X0,X1)
      | object(X0,X1) ),
    inference(resolution,[],[f276,f248]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ instrumentality(X0,X1)
      | artifact(X0,X1) ),
    inference(rectify,[],[f144]) ).

fof(f144,plain,
    ! [X1,X0] :
      ( ~ instrumentality(X1,X0)
      | artifact(X1,X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( instrumentality(X1,X0)
     => artifact(X1,X0) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X1,X0] :
      ( instrumentality(X0,X1)
     => artifact(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f276,plain,
    ! [X0,X1] :
      ( ~ artifact(X0,X1)
      | object(X0,X1) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ artifact(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X1,X0] :
      ( artifact(X0,X1)
     => object(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% 0.14/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 04:05:05 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (26142)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.50  % (26134)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (26126)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (26127)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (26142)First to succeed.
% 0.20/0.52  % (26121)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  TRYING [4]
% 0.20/0.52  % (26122)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (26143)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53  % (26123)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (26120)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (26124)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (26134)Also succeeded, but the first one will report.
% 0.20/0.53  % (26125)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (26142)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Theorem for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (26142)------------------------------
% 0.20/0.53  % (26142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (26142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (26142)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (26142)Memory used [KB]: 1279
% 0.20/0.53  % (26142)Time elapsed: 0.071 s
% 0.20/0.53  % (26142)Instructions burned: 12 (million)
% 0.20/0.53  % (26142)------------------------------
% 0.20/0.53  % (26142)------------------------------
% 0.20/0.53  % (26119)Success in time 0.177 s
%------------------------------------------------------------------------------