TSTP Solution File: NLP149+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NLP149+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 Apr 30 14:01:43 EDT 2024

% Result   : Theorem 0.14s 0.33s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   83 (   6 unt;   0 def)
%            Number of atoms       :  566 (  53 equ)
%            Maximal formula atoms :   36 (   6 avg)
%            Number of connectives :  594 ( 111   ~;  85   |; 353   &)
%                                         (   5 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   9 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   36 (  34 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :  297 ( 162   !; 135   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f430,plain,
    $false,
    inference(resolution,[],[f429,f163]) ).

fof(f163,plain,
    two(sK1,sK6),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ( ! [X6] :
        ( ( young(sK1,X6)
          & fellow(sK1,X6) )
        | ~ member(sK1,X6,sK6) )
    & group(sK1,sK6)
    & two(sK1,sK6)
    & ! [X7] :
        ( ( be(sK1,sK7(X7),X7,sK8(X7))
          & state(sK1,sK7(X7))
          & frontseat(sK1,sK8(X7)) )
        | ~ member(sK1,X7,sK6) )
    & barrel(sK1,sK5)
    & event(sK1,sK5)
    & old(sK1,sK4)
    & chevy(sK1,sK4)
    & street(sK1,sK3)
    & placename(sK1,sK2)
    & hollywood_placename(sK1,sK2)
    & city(sK1,sK3)
    & of(sK1,sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f76,f142,f141]) ).

fof(f141,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ! [X6] :
            ( ( young(X0,X6)
              & fellow(X0,X6) )
            | ~ member(X0,X6,X5) )
        & group(X0,X5)
        & two(X0,X5)
        & ! [X7] :
            ( ? [X8,X9] :
                ( be(X0,X8,X7,X9)
                & state(X0,X8)
                & frontseat(X0,X9) )
            | ~ member(X0,X7,X5) )
        & barrel(X0,X4)
        & event(X0,X4)
        & old(X0,X3)
        & chevy(X0,X3)
        & street(X0,X2)
        & placename(X0,X1)
        & hollywood_placename(X0,X1)
        & city(X0,X2)
        & of(X0,X1,X2) )
   => ( ! [X6] :
          ( ( young(sK1,X6)
            & fellow(sK1,X6) )
          | ~ member(sK1,X6,sK6) )
      & group(sK1,sK6)
      & two(sK1,sK6)
      & ! [X7] :
          ( ? [X9,X8] :
              ( be(sK1,X8,X7,X9)
              & state(sK1,X8)
              & frontseat(sK1,X9) )
          | ~ member(sK1,X7,sK6) )
      & barrel(sK1,sK5)
      & event(sK1,sK5)
      & old(sK1,sK4)
      & chevy(sK1,sK4)
      & street(sK1,sK3)
      & placename(sK1,sK2)
      & hollywood_placename(sK1,sK2)
      & city(sK1,sK3)
      & of(sK1,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ! [X7] :
      ( ? [X9,X8] :
          ( be(sK1,X8,X7,X9)
          & state(sK1,X8)
          & frontseat(sK1,X9) )
     => ( be(sK1,sK7(X7),X7,sK8(X7))
        & state(sK1,sK7(X7))
        & frontseat(sK1,sK8(X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ! [X6] :
          ( ( young(X0,X6)
            & fellow(X0,X6) )
          | ~ member(X0,X6,X5) )
      & group(X0,X5)
      & two(X0,X5)
      & ! [X7] :
          ( ? [X8,X9] :
              ( be(X0,X8,X7,X9)
              & state(X0,X8)
              & frontseat(X0,X9) )
          | ~ member(X0,X7,X5) )
      & barrel(X0,X4)
      & event(X0,X4)
      & old(X0,X3)
      & chevy(X0,X3)
      & street(X0,X2)
      & placename(X0,X1)
      & hollywood_placename(X0,X1)
      & city(X0,X2)
      & of(X0,X1,X2) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ! [X6] :
          ( member(X0,X6,X5)
         => ( young(X0,X6)
            & fellow(X0,X6) ) )
      & group(X0,X5)
      & two(X0,X5)
      & ! [X7] :
          ( member(X0,X7,X5)
         => ? [X8,X9] :
              ( be(X0,X8,X7,X9)
              & state(X0,X8)
              & frontseat(X0,X9) ) )
      & barrel(X0,X4)
      & event(X0,X4)
      & old(X0,X3)
      & chevy(X0,X3)
      & street(X0,X2)
      & placename(X0,X1)
      & hollywood_placename(X0,X1)
      & city(X0,X2)
      & of(X0,X1,X2) ),
    inference(pure_predicate_removal,[],[f72]) ).

fof(f72,plain,
    ? [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( ! [X6] :
              ( member(X0,X6,X5)
             => ( young(X0,X6)
                & fellow(X0,X6) ) )
          & group(X0,X5)
          & two(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X5)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & state(X0,X8)
                  & frontseat(X0,X9) ) )
          & barrel(X0,X4)
          & event(X0,X4)
          & old(X0,X3)
          & chevy(X0,X3)
          & street(X0,X2)
          & placename(X0,X1)
          & hollywood_placename(X0,X1)
          & city(X0,X2)
          & of(X0,X1,X2) )
      & actual_world(X0) ),
    inference(pure_predicate_removal,[],[f71]) ).

fof(f71,plain,
    ? [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( ! [X6] :
              ( member(X0,X6,X5)
             => ( young(X0,X6)
                & fellow(X0,X6) ) )
          & group(X0,X5)
          & two(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X5)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & state(X0,X8)
                  & frontseat(X0,X9) ) )
          & barrel(X0,X4)
          & event(X0,X4)
          & old(X0,X3)
          & chevy(X0,X3)
          & lonely(X0,X2)
          & street(X0,X2)
          & placename(X0,X1)
          & hollywood_placename(X0,X1)
          & city(X0,X2)
          & of(X0,X1,X2) )
      & actual_world(X0) ),
    inference(pure_predicate_removal,[],[f70]) ).

fof(f70,plain,
    ? [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( ! [X6] :
              ( member(X0,X6,X5)
             => ( young(X0,X6)
                & fellow(X0,X6) ) )
          & group(X0,X5)
          & two(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X5)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & state(X0,X8)
                  & frontseat(X0,X9) ) )
          & barrel(X0,X4)
          & event(X0,X4)
          & old(X0,X3)
          & white(X0,X3)
          & chevy(X0,X3)
          & lonely(X0,X2)
          & street(X0,X2)
          & placename(X0,X1)
          & hollywood_placename(X0,X1)
          & city(X0,X2)
          & of(X0,X1,X2) )
      & actual_world(X0) ),
    inference(pure_predicate_removal,[],[f69]) ).

fof(f69,plain,
    ? [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( ! [X6] :
              ( member(X0,X6,X5)
             => ( young(X0,X6)
                & fellow(X0,X6) ) )
          & group(X0,X5)
          & two(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X5)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & state(X0,X8)
                  & frontseat(X0,X9) ) )
          & barrel(X0,X4)
          & event(X0,X4)
          & old(X0,X3)
          & dirty(X0,X3)
          & white(X0,X3)
          & chevy(X0,X3)
          & lonely(X0,X2)
          & street(X0,X2)
          & placename(X0,X1)
          & hollywood_placename(X0,X1)
          & city(X0,X2)
          & of(X0,X1,X2) )
      & actual_world(X0) ),
    inference(pure_predicate_removal,[],[f68]) ).

fof(f68,plain,
    ? [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( ! [X6] :
              ( member(X0,X6,X5)
             => ( young(X0,X6)
                & fellow(X0,X6) ) )
          & group(X0,X5)
          & two(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X5)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & state(X0,X8)
                  & frontseat(X0,X9) ) )
          & barrel(X0,X4)
          & agent(X0,X4,X3)
          & event(X0,X4)
          & old(X0,X3)
          & dirty(X0,X3)
          & white(X0,X3)
          & chevy(X0,X3)
          & lonely(X0,X2)
          & street(X0,X2)
          & placename(X0,X1)
          & hollywood_placename(X0,X1)
          & city(X0,X2)
          & of(X0,X1,X2) )
      & actual_world(X0) ),
    inference(pure_predicate_removal,[],[f67]) ).

fof(f67,plain,
    ? [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( ! [X6] :
              ( member(X0,X6,X5)
             => ( young(X0,X6)
                & fellow(X0,X6) ) )
          & group(X0,X5)
          & two(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X5)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & state(X0,X8)
                  & frontseat(X0,X9) ) )
          & barrel(X0,X4)
          & present(X0,X4)
          & agent(X0,X4,X3)
          & event(X0,X4)
          & old(X0,X3)
          & dirty(X0,X3)
          & white(X0,X3)
          & chevy(X0,X3)
          & lonely(X0,X2)
          & street(X0,X2)
          & placename(X0,X1)
          & hollywood_placename(X0,X1)
          & city(X0,X2)
          & of(X0,X1,X2) )
      & actual_world(X0) ),
    inference(pure_predicate_removal,[],[f66]) ).

fof(f66,plain,
    ? [X0] :
      ( ? [X1,X2,X3,X4,X5] :
          ( ! [X6] :
              ( member(X0,X6,X5)
             => ( young(X0,X6)
                & fellow(X0,X6) ) )
          & group(X0,X5)
          & two(X0,X5)
          & ! [X7] :
              ( member(X0,X7,X5)
             => ? [X8,X9] :
                  ( be(X0,X8,X7,X9)
                  & state(X0,X8)
                  & frontseat(X0,X9) ) )
          & down(X0,X4,X2)
          & barrel(X0,X4)
          & present(X0,X4)
          & agent(X0,X4,X3)
          & event(X0,X4)
          & old(X0,X3)
          & dirty(X0,X3)
          & white(X0,X3)
          & chevy(X0,X3)
          & lonely(X0,X2)
          & street(X0,X2)
          & placename(X0,X1)
          & hollywood_placename(X0,X1)
          & city(X0,X2)
          & of(X0,X1,X2) )
      & actual_world(X0) ),
    inference(pure_predicate_removal,[],[f65]) ).

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

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

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

fof(f62,conjecture,
    ~ ? [X0] :
        ( ? [X1,X2,X3,X4,X5] :
            ( ! [X9] :
                ( member(X0,X9,X5)
               => ( young(X0,X9)
                  & fellow(X0,X9) ) )
            & group(X0,X5)
            & two(X0,X5)
            & ! [X6] :
                ( member(X0,X6,X5)
               => ? [X7,X8] :
                    ( in(X0,X8,X8)
                    & be(X0,X7,X6,X8)
                    & state(X0,X7)
                    & frontseat(X0,X8) ) )
            & in(X0,X4,X2)
            & down(X0,X4,X2)
            & barrel(X0,X4)
            & present(X0,X4)
            & agent(X0,X4,X3)
            & event(X0,X4)
            & old(X0,X3)
            & dirty(X0,X3)
            & white(X0,X3)
            & chevy(X0,X3)
            & lonely(X0,X2)
            & street(X0,X2)
            & placename(X0,X1)
            & hollywood_placename(X0,X1)
            & city(X0,X2)
            & of(X0,X1,X2) )
        & actual_world(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f429,plain,
    ~ two(sK1,sK6),
    inference(resolution,[],[f427,f230]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( sP0(X1,X0)
      | ~ two(X0,X1) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ~ sP0(X1,X0) )
      & ( sP0(X1,X0)
        | ~ two(X0,X1) ) ),
    inference(nnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( two(X0,X1)
    <=> sP0(X1,X0) ),
    inference(definition_folding,[],[f135,f139]) ).

fof(f139,plain,
    ! [X1,X0] :
      ( sP0(X1,X0)
    <=> ? [X2] :
          ( ? [X3] :
              ( ! [X4] :
                  ( X2 = X4
                  | X3 = X4
                  | ~ member(X0,X4,X1) )
              & X2 != X3
              & member(X0,X3,X1) )
          & member(X0,X2,X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( ? [X3] :
              ( ! [X4] :
                  ( X2 = X4
                  | X3 = X4
                  | ~ member(X0,X4,X1) )
              & X2 != X3
              & member(X0,X3,X1) )
          & member(X0,X2,X1) ) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( ? [X3] :
              ( ! [X4] :
                  ( X2 = X4
                  | X3 = X4
                  | ~ member(X0,X4,X1) )
              & X2 != X3
              & member(X0,X3,X1) )
          & member(X0,X2,X1) ) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,axiom,
    ! [X0,X1] :
      ( two(X0,X1)
    <=> ? [X2] :
          ( ? [X3] :
              ( ! [X4] :
                  ( member(X0,X4,X1)
                 => ( X2 = X4
                    | X3 = X4 ) )
              & X2 != X3
              & member(X0,X3,X1) )
          & member(X0,X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).

fof(f427,plain,
    ~ sP0(sK6,sK1),
    inference(resolution,[],[f426,f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( member(X1,sK10(X0,X1),X0)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ! [X2] :
            ( ! [X3] :
                ( ( sK9(X0,X1,X2,X3) != X2
                  & sK9(X0,X1,X2,X3) != X3
                  & member(X1,sK9(X0,X1,X2,X3),X0) )
                | X2 = X3
                | ~ member(X1,X3,X0) )
            | ~ member(X1,X2,X0) ) )
      & ( ( ! [X7] :
              ( sK10(X0,X1) = X7
              | sK11(X0,X1) = X7
              | ~ member(X1,X7,X0) )
          & sK10(X0,X1) != sK11(X0,X1)
          & member(X1,sK11(X0,X1),X0)
          & member(X1,sK10(X0,X1),X0) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f145,f148,f147,f146]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( X2 != X4
          & X3 != X4
          & member(X1,X4,X0) )
     => ( sK9(X0,X1,X2,X3) != X2
        & sK9(X0,X1,X2,X3) != X3
        & member(X1,sK9(X0,X1,X2,X3),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ? [X6] :
              ( ! [X7] :
                  ( X5 = X7
                  | X6 = X7
                  | ~ member(X1,X7,X0) )
              & X5 != X6
              & member(X1,X6,X0) )
          & member(X1,X5,X0) )
     => ( ? [X6] :
            ( ! [X7] :
                ( sK10(X0,X1) = X7
                | X6 = X7
                | ~ member(X1,X7,X0) )
            & sK10(X0,X1) != X6
            & member(X1,X6,X0) )
        & member(X1,sK10(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ? [X6] :
          ( ! [X7] :
              ( sK10(X0,X1) = X7
              | X6 = X7
              | ~ member(X1,X7,X0) )
          & sK10(X0,X1) != X6
          & member(X1,X6,X0) )
     => ( ! [X7] :
            ( sK10(X0,X1) = X7
            | sK11(X0,X1) = X7
            | ~ member(X1,X7,X0) )
        & sK10(X0,X1) != sK11(X0,X1)
        & member(X1,sK11(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ! [X2] :
            ( ! [X3] :
                ( ? [X4] :
                    ( X2 != X4
                    & X3 != X4
                    & member(X1,X4,X0) )
                | X2 = X3
                | ~ member(X1,X3,X0) )
            | ~ member(X1,X2,X0) ) )
      & ( ? [X5] :
            ( ? [X6] :
                ( ! [X7] :
                    ( X5 = X7
                    | X6 = X7
                    | ~ member(X1,X7,X0) )
                & X5 != X6
                & member(X1,X6,X0) )
            & member(X1,X5,X0) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f144]) ).

fof(f144,plain,
    ! [X1,X0] :
      ( ( sP0(X1,X0)
        | ! [X2] :
            ( ! [X3] :
                ( ? [X4] :
                    ( X2 != X4
                    & X3 != X4
                    & member(X0,X4,X1) )
                | X2 = X3
                | ~ member(X0,X3,X1) )
            | ~ member(X0,X2,X1) ) )
      & ( ? [X2] :
            ( ? [X3] :
                ( ! [X4] :
                    ( X2 = X4
                    | X3 = X4
                    | ~ member(X0,X4,X1) )
                & X2 != X3
                & member(X0,X3,X1) )
            & member(X0,X2,X1) )
        | ~ sP0(X1,X0) ) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f426,plain,
    ~ member(sK1,sK10(sK6,sK1),sK6),
    inference(duplicate_literal_removal,[],[f423]) ).

fof(f423,plain,
    ( ~ member(sK1,sK10(sK6,sK1),sK6)
    | ~ member(sK1,sK10(sK6,sK1),sK6) ),
    inference(superposition,[],[f290,f413]) ).

fof(f413,plain,
    sK10(sK6,sK1) = sK8(sK10(sK6,sK1)),
    inference(resolution,[],[f372,f163]) ).

fof(f372,plain,
    ( ~ two(sK1,sK6)
    | sK10(sK6,sK1) = sK8(sK10(sK6,sK1)) ),
    inference(resolution,[],[f292,f230]) ).

fof(f292,plain,
    ( ~ sP0(sK6,sK1)
    | sK10(sK6,sK1) = sK8(sK10(sK6,sK1)) ),
    inference(resolution,[],[f263,f223]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ member(sK1,X0,sK6)
      | sK8(X0) = X0 ),
    inference(resolution,[],[f233,f162]) ).

fof(f162,plain,
    ! [X7] :
      ( be(sK1,sK7(X7),X7,sK8(X7))
      | ~ member(sK1,X7,sK6) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f233,plain,
    ! [X2,X3,X0,X1] :
      ( ~ be(X0,X1,X2,X3)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ be(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,axiom,
    ! [X0,X1,X2,X3] :
      ( be(X0,X1,X2,X3)
     => X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).

fof(f290,plain,
    ! [X0] :
      ( ~ member(sK1,sK8(X0),sK6)
      | ~ member(sK1,X0,sK6) ),
    inference(resolution,[],[f287,f160]) ).

fof(f160,plain,
    ! [X7] :
      ( frontseat(sK1,sK8(X7))
      | ~ member(sK1,X7,sK6) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ frontseat(sK1,X0)
      | ~ member(sK1,X0,sK6) ),
    inference(resolution,[],[f282,f180]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( frontseat(X0,X1)
     => seat(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

fof(f282,plain,
    ! [X0] :
      ( ~ seat(sK1,X0)
      | ~ member(sK1,X0,sK6) ),
    inference(resolution,[],[f277,f178]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( seat(X0,X1)
     => furniture(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

fof(f277,plain,
    ! [X0] :
      ( ~ furniture(sK1,X0)
      | ~ member(sK1,X0,sK6) ),
    inference(resolution,[],[f271,f184]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
      | ~ furniture(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
      | ~ furniture(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( furniture(X0,X1)
     => instrumentality(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

fof(f271,plain,
    ! [X0] :
      ( ~ instrumentality(sK1,X0)
      | ~ member(sK1,X0,sK6) ),
    inference(resolution,[],[f264,f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
     => artifact(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).

fof(f264,plain,
    ! [X0] :
      ( ~ artifact(sK1,X0)
      | ~ member(sK1,X0,sK6) ),
    inference(resolution,[],[f259,f208]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ artifact(X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ artifact(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( artifact(X0,X1)
     => object(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f259,plain,
    ! [X0] :
      ( ~ object(sK1,X0)
      | ~ member(sK1,X0,sK6) ),
    inference(resolution,[],[f257,f216]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( unisex(X0,X1)
      | ~ object(X0,X1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( unisex(X0,X1)
      | ~ object(X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( object(X0,X1)
     => unisex(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f257,plain,
    ! [X0] :
      ( ~ unisex(sK1,X0)
      | ~ member(sK1,X0,sK6) ),
    inference(resolution,[],[f249,f165]) ).

fof(f165,plain,
    ! [X6] :
      ( fellow(sK1,X6)
      | ~ member(sK1,X6,sK6) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( ~ fellow(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[],[f241,f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( fellow(X0,X1)
     => man(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ man(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[],[f220,f192]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,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/sandbox2/benchmark/theBenchmark.p',ax37) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ male(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ male(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,axiom,
    ! [X0,X1] :
      ( unisex(X0,X1)
     => ~ male(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : NLP149+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n009.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Apr 29 21:57:41 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  % (16562)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32  % (16565)WARNING: value z3 for option sas not known
% 0.14/0.32  % (16563)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32  % (16565)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32  % (16564)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32  % (16568)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.32  % (16566)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32  % (16569)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.32  % (16567)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.32  TRYING [1]
% 0.14/0.32  TRYING [1]
% 0.14/0.32  TRYING [2]
% 0.14/0.32  TRYING [2]
% 0.14/0.32  TRYING [3]
% 0.14/0.32  TRYING [3]
% 0.14/0.32  TRYING [4]
% 0.14/0.32  TRYING [4]
% 0.14/0.33  TRYING [5]
% 0.14/0.33  TRYING [5]
% 0.14/0.33  TRYING [1]
% 0.14/0.33  % (16568)First to succeed.
% 0.14/0.33  TRYING [2]
% 0.14/0.33  TRYING [3]
% 0.14/0.33  % (16565)Also succeeded, but the first one will report.
% 0.14/0.33  TRYING [4]
% 0.14/0.33  % (16568)Refutation found. Thanks to Tanya!
% 0.14/0.33  % SZS status Theorem for theBenchmark
% 0.14/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.33  % (16568)------------------------------
% 0.14/0.33  % (16568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.33  % (16568)Termination reason: Refutation
% 0.14/0.33  
% 0.14/0.33  % (16568)Memory used [KB]: 1019
% 0.14/0.33  % (16568)Time elapsed: 0.012 s
% 0.14/0.33  % (16568)Instructions burned: 21 (million)
% 0.14/0.33  % (16568)------------------------------
% 0.14/0.33  % (16568)------------------------------
% 0.14/0.33  % (16562)Success in time 0.027 s
%------------------------------------------------------------------------------