TSTP Solution File: NLP141+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NLP141+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 : n001.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 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   90 (   4 unt;   0 def)
%            Number of atoms       :  591 (  51 equ)
%            Maximal formula atoms :   36 (   6 avg)
%            Number of connectives :  614 ( 113   ~;  87   |; 364   &)
%                                         (   3 <=>;  47  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   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   :  315 ( 174   !; 141   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f549,plain,
    $false,
    inference(resolution,[],[f548,f234]) ).

fof(f234,plain,
    two(sK5,sK0),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ( old(sK5,sK1)
    & of(sK5,sK4,sK2)
    & ! [X6] :
        ( ( fellow(sK5,X6)
          & young(sK5,X6) )
        | ~ member(sK5,X6,sK0) )
    & event(sK5,sK3)
    & hollywood_placename(sK5,sK4)
    & barrel(sK5,sK3)
    & street(sK5,sK2)
    & chevy(sK5,sK1)
    & group(sK5,sK0)
    & placename(sK5,sK4)
    & ! [X7] :
        ( ( be(sK5,sK6(X7),X7,sK7(X7))
          & frontseat(sK5,sK7(X7))
          & state(sK5,sK6(X7)) )
        | ~ member(sK5,X7,sK0) )
    & two(sK5,sK0)
    & city(sK5,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f182,f184,f183]) ).

fof(f183,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( old(X5,X1)
        & of(X5,X4,X2)
        & ! [X6] :
            ( ( fellow(X5,X6)
              & young(X5,X6) )
            | ~ member(X5,X6,X0) )
        & event(X5,X3)
        & hollywood_placename(X5,X4)
        & barrel(X5,X3)
        & street(X5,X2)
        & chevy(X5,X1)
        & group(X5,X0)
        & placename(X5,X4)
        & ! [X7] :
            ( ? [X8,X9] :
                ( be(X5,X8,X7,X9)
                & frontseat(X5,X9)
                & state(X5,X8) )
            | ~ member(X5,X7,X0) )
        & two(X5,X0)
        & city(X5,X2) )
   => ( old(sK5,sK1)
      & of(sK5,sK4,sK2)
      & ! [X6] :
          ( ( fellow(sK5,X6)
            & young(sK5,X6) )
          | ~ member(sK5,X6,sK0) )
      & event(sK5,sK3)
      & hollywood_placename(sK5,sK4)
      & barrel(sK5,sK3)
      & street(sK5,sK2)
      & chevy(sK5,sK1)
      & group(sK5,sK0)
      & placename(sK5,sK4)
      & ! [X7] :
          ( ? [X9,X8] :
              ( be(sK5,X8,X7,X9)
              & frontseat(sK5,X9)
              & state(sK5,X8) )
          | ~ member(sK5,X7,sK0) )
      & two(sK5,sK0)
      & city(sK5,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f184,plain,
    ! [X7] :
      ( ? [X9,X8] :
          ( be(sK5,X8,X7,X9)
          & frontseat(sK5,X9)
          & state(sK5,X8) )
     => ( be(sK5,sK6(X7),X7,sK7(X7))
        & frontseat(sK5,sK7(X7))
        & state(sK5,sK6(X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f182,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( old(X5,X1)
      & of(X5,X4,X2)
      & ! [X6] :
          ( ( fellow(X5,X6)
            & young(X5,X6) )
          | ~ member(X5,X6,X0) )
      & event(X5,X3)
      & hollywood_placename(X5,X4)
      & barrel(X5,X3)
      & street(X5,X2)
      & chevy(X5,X1)
      & group(X5,X0)
      & placename(X5,X4)
      & ! [X7] :
          ( ? [X8,X9] :
              ( be(X5,X8,X7,X9)
              & frontseat(X5,X9)
              & state(X5,X8) )
          | ~ member(X5,X7,X0) )
      & two(X5,X0)
      & city(X5,X2) ),
    inference(rectify,[],[f115]) ).

fof(f115,plain,
    ? [X2,X4,X3,X5,X1,X0] :
      ( old(X0,X4)
      & of(X0,X1,X3)
      & ! [X6] :
          ( ( fellow(X0,X6)
            & young(X0,X6) )
          | ~ member(X0,X6,X2) )
      & event(X0,X5)
      & hollywood_placename(X0,X1)
      & barrel(X0,X5)
      & street(X0,X3)
      & chevy(X0,X4)
      & group(X0,X2)
      & placename(X0,X1)
      & ! [X7] :
          ( ? [X8,X9] :
              ( be(X0,X8,X7,X9)
              & frontseat(X0,X9)
              & state(X0,X8) )
          | ~ member(X0,X7,X2) )
      & two(X0,X2)
      & city(X0,X3) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,plain,
    ? [X0,X3,X4,X2,X5,X1] :
      ( of(X0,X1,X3)
      & two(X0,X2)
      & chevy(X0,X4)
      & placename(X0,X1)
      & ! [X6] :
          ( member(X0,X6,X2)
         => ( fellow(X0,X6)
            & young(X0,X6) ) )
      & event(X0,X5)
      & city(X0,X3)
      & old(X0,X4)
      & street(X0,X3)
      & group(X0,X2)
      & hollywood_placename(X0,X1)
      & barrel(X0,X5)
      & ! [X7] :
          ( member(X0,X7,X2)
         => ? [X8,X9] :
              ( be(X0,X8,X7,X9)
              & frontseat(X0,X9)
              & state(X0,X8) ) ) ),
    inference(pure_predicate_removal,[],[f106]) ).

fof(f106,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X4,X2,X5,X1] :
          ( of(X0,X1,X3)
          & two(X0,X2)
          & chevy(X0,X4)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X2)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & event(X0,X5)
          & city(X0,X3)
          & old(X0,X4)
          & street(X0,X3)
          & group(X0,X2)
          & hollywood_placename(X0,X1)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X2)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & frontseat(X0,X9)
                  & state(X0,X8) ) ) ) ),
    inference(pure_predicate_removal,[],[f105]) ).

fof(f105,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X4,X2,X5,X1] :
          ( of(X0,X1,X3)
          & two(X0,X2)
          & white(X0,X4)
          & chevy(X0,X4)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X2)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & event(X0,X5)
          & city(X0,X3)
          & old(X0,X4)
          & street(X0,X3)
          & group(X0,X2)
          & hollywood_placename(X0,X1)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X2)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & frontseat(X0,X9)
                  & state(X0,X8) ) ) ) ),
    inference(pure_predicate_removal,[],[f104]) ).

fof(f104,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X4,X2,X5,X1] :
          ( of(X0,X1,X3)
          & two(X0,X2)
          & white(X0,X4)
          & chevy(X0,X4)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X2)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & event(X0,X5)
          & city(X0,X3)
          & old(X0,X4)
          & street(X0,X3)
          & group(X0,X2)
          & dirty(X0,X4)
          & hollywood_placename(X0,X1)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X2)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & frontseat(X0,X9)
                  & state(X0,X8) ) ) ) ),
    inference(pure_predicate_removal,[],[f103]) ).

fof(f103,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X4,X2,X5,X1] :
          ( of(X0,X1,X3)
          & two(X0,X2)
          & white(X0,X4)
          & chevy(X0,X4)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X2)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & event(X0,X5)
          & city(X0,X3)
          & old(X0,X4)
          & street(X0,X3)
          & group(X0,X2)
          & dirty(X0,X4)
          & hollywood_placename(X0,X1)
          & lonely(X0,X3)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X2)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & frontseat(X0,X9)
                  & state(X0,X8) ) ) ) ),
    inference(pure_predicate_removal,[],[f102]) ).

fof(f102,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X4,X2,X5,X1] :
          ( of(X0,X1,X3)
          & two(X0,X2)
          & white(X0,X4)
          & chevy(X0,X4)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X2)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & event(X0,X5)
          & city(X0,X3)
          & old(X0,X4)
          & street(X0,X3)
          & group(X0,X2)
          & agent(X0,X5,X4)
          & dirty(X0,X4)
          & hollywood_placename(X0,X1)
          & lonely(X0,X3)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X2)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & frontseat(X0,X9)
                  & state(X0,X8) ) ) ) ),
    inference(pure_predicate_removal,[],[f101]) ).

fof(f101,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X4,X2,X5,X1] :
          ( of(X0,X1,X3)
          & two(X0,X2)
          & white(X0,X4)
          & chevy(X0,X4)
          & present(X0,X5)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X2)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & event(X0,X5)
          & city(X0,X3)
          & old(X0,X4)
          & street(X0,X3)
          & group(X0,X2)
          & agent(X0,X5,X4)
          & dirty(X0,X4)
          & hollywood_placename(X0,X1)
          & lonely(X0,X3)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X2)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & frontseat(X0,X9)
                  & state(X0,X8) ) ) ) ),
    inference(pure_predicate_removal,[],[f100]) ).

fof(f100,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X4,X2,X5,X1] :
          ( down(X0,X5,X3)
          & of(X0,X1,X3)
          & two(X0,X2)
          & white(X0,X4)
          & chevy(X0,X4)
          & present(X0,X5)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X2)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & event(X0,X5)
          & city(X0,X3)
          & old(X0,X4)
          & street(X0,X3)
          & group(X0,X2)
          & agent(X0,X5,X4)
          & dirty(X0,X4)
          & hollywood_placename(X0,X1)
          & lonely(X0,X3)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X2)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & frontseat(X0,X9)
                  & state(X0,X8) ) ) ) ),
    inference(pure_predicate_removal,[],[f83]) ).

fof(f83,plain,
    ? [X0] :
      ( actual_world(X0)
      & ? [X3,X4,X2,X5,X1] :
          ( down(X0,X5,X3)
          & in(X0,X5,X3)
          & of(X0,X1,X3)
          & two(X0,X2)
          & white(X0,X4)
          & chevy(X0,X4)
          & present(X0,X5)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X2)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & event(X0,X5)
          & city(X0,X3)
          & old(X0,X4)
          & street(X0,X3)
          & group(X0,X2)
          & agent(X0,X5,X4)
          & dirty(X0,X4)
          & hollywood_placename(X0,X1)
          & lonely(X0,X3)
          & barrel(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X2)
             => ? [X8,X9] :
                  ( in(X0,X9,X9)
                  & be(X0,X8,X7,X9)
                  & frontseat(X0,X9)
                  & state(X0,X8) ) ) ) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ~ ~ ? [X0] :
          ( actual_world(X0)
          & ? [X3,X4,X2,X5,X1] :
              ( down(X0,X5,X3)
              & in(X0,X5,X3)
              & of(X0,X1,X3)
              & two(X0,X2)
              & white(X0,X4)
              & chevy(X0,X4)
              & present(X0,X5)
              & placename(X0,X1)
              & ! [X6] :
                  ( member(X0,X6,X2)
                 => ( fellow(X0,X6)
                    & young(X0,X6) ) )
              & event(X0,X5)
              & city(X0,X3)
              & old(X0,X4)
              & street(X0,X3)
              & group(X0,X2)
              & agent(X0,X5,X4)
              & dirty(X0,X4)
              & hollywood_placename(X0,X1)
              & lonely(X0,X3)
              & barrel(X0,X5)
              & ! [X7] :
                  ( member(X0,X7,X2)
                 => ? [X8,X9] :
                      ( in(X0,X9,X9)
                      & be(X0,X8,X7,X9)
                      & frontseat(X0,X9)
                      & state(X0,X8) ) ) ) ),
    inference(rectify,[],[f63]) ).

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

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

fof(f548,plain,
    ~ two(sK5,sK0),
    inference(duplicate_literal_removal,[],[f547]) ).

fof(f547,plain,
    ( ~ two(sK5,sK0)
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f461,f286]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( member(X0,sK10(X0,X1),X1)
      | ~ two(X0,X1) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ! [X2] :
            ( ~ member(X0,X2,X1)
            | ! [X3] :
                ( ( member(X0,sK8(X0,X1,X2,X3),X1)
                  & sK8(X0,X1,X2,X3) != X3
                  & sK8(X0,X1,X2,X3) != X2 )
                | ~ member(X0,X3,X1)
                | X2 = X3 ) ) )
      & ( ( member(X0,sK9(X0,X1),X1)
          & ! [X7] :
              ( ~ member(X0,X7,X1)
              | sK10(X0,X1) = X7
              | sK9(X0,X1) = X7 )
          & member(X0,sK10(X0,X1),X1)
          & sK10(X0,X1) != sK9(X0,X1) )
        | ~ two(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f211,f214,f213,f212]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( member(X0,X4,X1)
          & X3 != X4
          & X2 != X4 )
     => ( member(X0,sK8(X0,X1,X2,X3),X1)
        & sK8(X0,X1,X2,X3) != X3
        & sK8(X0,X1,X2,X3) != X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( member(X0,X5,X1)
          & ? [X6] :
              ( ! [X7] :
                  ( ~ member(X0,X7,X1)
                  | X6 = X7
                  | X5 = X7 )
              & member(X0,X6,X1)
              & X5 != X6 ) )
     => ( member(X0,sK9(X0,X1),X1)
        & ? [X6] :
            ( ! [X7] :
                ( ~ member(X0,X7,X1)
                | X6 = X7
                | sK9(X0,X1) = X7 )
            & member(X0,X6,X1)
            & sK9(X0,X1) != X6 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( ? [X6] :
          ( ! [X7] :
              ( ~ member(X0,X7,X1)
              | X6 = X7
              | sK9(X0,X1) = X7 )
          & member(X0,X6,X1)
          & sK9(X0,X1) != X6 )
     => ( ! [X7] :
            ( ~ member(X0,X7,X1)
            | sK10(X0,X1) = X7
            | sK9(X0,X1) = X7 )
        & member(X0,sK10(X0,X1),X1)
        & sK10(X0,X1) != sK9(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ! [X2] :
            ( ~ member(X0,X2,X1)
            | ! [X3] :
                ( ? [X4] :
                    ( member(X0,X4,X1)
                    & X3 != X4
                    & X2 != X4 )
                | ~ member(X0,X3,X1)
                | X2 = X3 ) ) )
      & ( ? [X5] :
            ( member(X0,X5,X1)
            & ? [X6] :
                ( ! [X7] :
                    ( ~ member(X0,X7,X1)
                    | X6 = X7
                    | X5 = X7 )
                & member(X0,X6,X1)
                & X5 != X6 ) )
        | ~ two(X0,X1) ) ),
    inference(rectify,[],[f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ! [X2] :
            ( ~ member(X0,X2,X1)
            | ! [X3] :
                ( ? [X4] :
                    ( member(X0,X4,X1)
                    & X3 != X4
                    & X2 != X4 )
                | ~ member(X0,X3,X1)
                | X2 = X3 ) ) )
      & ( ? [X2] :
            ( member(X0,X2,X1)
            & ? [X3] :
                ( ! [X4] :
                    ( ~ member(X0,X4,X1)
                    | X3 = X4
                    | X2 = X4 )
                & member(X0,X3,X1)
                & X2 != X3 ) )
        | ~ two(X0,X1) ) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( member(X0,X2,X1)
          & ? [X3] :
              ( ! [X4] :
                  ( ~ member(X0,X4,X1)
                  | X3 = X4
                  | X2 = X4 )
              & member(X0,X3,X1)
              & X2 != X3 ) ) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X1,X0] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( member(X0,X2,X1)
          & ? [X3] :
              ( ! [X4] :
                  ( X2 = X4
                  | X3 = X4
                  | ~ member(X0,X4,X1) )
              & X2 != X3
              & member(X0,X3,X1) ) ) ),
    inference(ennf_transformation,[],[f60]) ).

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

fof(f461,plain,
    ( ~ member(sK5,sK10(sK5,sK0),sK0)
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f449,f314]) ).

fof(f314,plain,
    ( frontseat(sK5,sK10(sK5,sK0))
    | ~ member(sK5,sK10(sK5,sK0),sK0) ),
    inference(superposition,[],[f236,f311]) ).

fof(f311,plain,
    sK10(sK5,sK0) = sK7(sK10(sK5,sK0)),
    inference(resolution,[],[f310,f234]) ).

fof(f310,plain,
    ( ~ two(sK5,sK0)
    | sK10(sK5,sK0) = sK7(sK10(sK5,sK0)) ),
    inference(resolution,[],[f309,f286]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ member(sK5,X0,sK0)
      | sK7(X0) = X0 ),
    inference(resolution,[],[f263,f237]) ).

fof(f237,plain,
    ! [X7] :
      ( be(sK5,sK6(X7),X7,sK7(X7))
      | ~ member(sK5,X7,sK0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f263,plain,
    ! [X2,X3,X0,X1] :
      ( ~ be(X0,X3,X2,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3] :
      ( X1 = X2
      | ~ be(X0,X3,X2,X1) ),
    inference(rectify,[],[f150]) ).

fof(f150,plain,
    ! [X2,X1,X3,X0] :
      ( X1 = X3
      | ~ be(X2,X0,X3,X1) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X3,X0,X2,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(f236,plain,
    ! [X7] :
      ( frontseat(sK5,sK7(X7))
      | ~ member(sK5,X7,sK0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f449,plain,
    ( ~ frontseat(sK5,sK10(sK5,sK0))
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f443,f271]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(rectify,[],[f136]) ).

fof(f136,plain,
    ! [X1,X0] :
      ( seat(X1,X0)
      | ~ frontseat(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(f443,plain,
    ( ~ seat(sK5,sK10(sK5,sK0))
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f436,f249]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    inference(rectify,[],[f157]) ).

fof(f157,plain,
    ! [X1,X0] :
      ( furniture(X1,X0)
      | ~ seat(X1,X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X1,X0] :
      ( seat(X1,X0)
     => furniture(X1,X0) ),
    inference(rectify,[],[f2]) ).

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

fof(f436,plain,
    ( ~ furniture(sK5,sK10(sK5,sK0))
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f416,f230]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( instrumentality(X1,X0)
      | ~ furniture(X1,X0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( instrumentality(X1,X0)
      | ~ furniture(X1,X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( furniture(X1,X0)
     => instrumentality(X1,X0) ),
    inference(rectify,[],[f1]) ).

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

fof(f416,plain,
    ( ~ instrumentality(sK5,sK10(sK5,sK0))
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f405,f251]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( artifact(X1,X0)
      | ~ instrumentality(X1,X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ instrumentality(X1,X0)
      | artifact(X1,X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X1,X0] :
      ( 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(f405,plain,
    ( ~ artifact(sK5,sK10(sK5,sK0))
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f374,f292]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( object(X1,X0)
      | ~ artifact(X1,X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ artifact(X1,X0)
      | object(X1,X0) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( artifact(X1,X0)
     => object(X1,X0) ),
    inference(rectify,[],[f20]) ).

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

fof(f374,plain,
    ( ~ object(sK5,sK10(sK5,sK0))
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f370,f226]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( unisex(X0,X1)
      | ~ object(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ object(X0,X1)
      | unisex(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f370,plain,
    ( ~ unisex(sK5,sK10(sK5,sK0))
    | ~ two(sK5,sK0) ),
    inference(resolution,[],[f369,f286]) ).

fof(f369,plain,
    ! [X0] :
      ( ~ member(sK5,X0,sK0)
      | ~ unisex(sK5,X0) ),
    inference(resolution,[],[f337,f246]) ).

fof(f246,plain,
    ! [X6] :
      ( fellow(sK5,X6)
      | ~ member(sK5,X6,sK0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ~ fellow(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[],[f308,f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( man(X1,X0)
      | ~ fellow(X1,X0) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( man(X1,X0)
      | ~ fellow(X1,X0) ),
    inference(rectify,[],[f117]) ).

fof(f117,plain,
    ! [X1,X0] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

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

fof(f308,plain,
    ! [X0,X1] :
      ( ~ man(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[],[f296,f262]) ).

fof(f262,plain,
    ! [X0,X1] :
      ( ~ male(X1,X0)
      | ~ unisex(X1,X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ unisex(X1,X0)
      | ~ male(X1,X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X1,X0] :
      ( 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(f296,plain,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NLP141+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 05:01:00 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  % (30132)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47  % (30150)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.48  % (30132)First to succeed.
% 0.19/0.49  % (30132)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (30132)------------------------------
% 0.19/0.49  % (30132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (30132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (30132)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (30132)Memory used [KB]: 1407
% 0.19/0.49  % (30132)Time elapsed: 0.082 s
% 0.19/0.49  % (30132)Instructions burned: 13 (million)
% 0.19/0.49  % (30132)------------------------------
% 0.19/0.49  % (30132)------------------------------
% 0.19/0.49  % (30122)Success in time 0.145 s
%------------------------------------------------------------------------------