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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n023.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 17:53:47 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   85 (  15 unt;   0 def)
%            Number of atoms       :  570 (  51 equ)
%            Maximal formula atoms :   36 (   6 avg)
%            Number of connectives :  573 (  88   ~;  74   |; 364   &)
%                                         (   3 <=>;  44  =>;   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   :  300 ( 159   !; 141   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f558,plain,
    $false,
    inference(subsumption_resolution,[],[f557,f547]) ).

fof(f547,plain,
    unisex(sK7,sK2(sK7,sK8)),
    inference(unit_resulting_resolution,[],[f539,f222]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( unisex(X0,X1)
      | ~ object(X0,X1) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,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/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f539,plain,
    object(sK7,sK2(sK7,sK8)),
    inference(unit_resulting_resolution,[],[f507,f217]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ~ artifact(X1,X0)
      | object(X1,X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( object(X1,X0)
      | ~ artifact(X1,X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,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/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f507,plain,
    artifact(sK7,sK2(sK7,sK8)),
    inference(unit_resulting_resolution,[],[f497,f200]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,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(f497,plain,
    instrumentality(sK7,sK2(sK7,sK8)),
    inference(unit_resulting_resolution,[],[f452,f243]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
      | ~ furniture(X0,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ furniture(X0,X1)
      | instrumentality(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(f452,plain,
    furniture(sK7,sK2(sK7,sK8)),
    inference(resolution,[],[f411,f211]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ seat(X0,X1)
      | furniture(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,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(f411,plain,
    seat(sK7,sK2(sK7,sK8)),
    inference(backward_demodulation,[],[f392,f410]) ).

fof(f410,plain,
    sK9(sK2(sK7,sK8)) = sK2(sK7,sK8),
    inference(subsumption_resolution,[],[f409,f262]) ).

fof(f262,plain,
    two(sK7,sK8),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ( ! [X6] :
        ( ~ member(sK7,X6,sK8)
        | ( fellow(sK7,X6)
          & young(sK7,X6) ) )
    & placename(sK7,sK5)
    & event(sK7,sK4)
    & chevy(sK7,sK6)
    & hollywood_placename(sK7,sK5)
    & old(sK7,sK6)
    & ! [X7] :
        ( ( frontseat(sK7,sK9(X7))
          & be(sK7,sK10(X7),X7,sK9(X7))
          & state(sK7,sK10(X7)) )
        | ~ member(sK7,X7,sK8) )
    & group(sK7,sK8)
    & street(sK7,sK3)
    & barrel(sK7,sK4)
    & two(sK7,sK8)
    & of(sK7,sK5,sK3)
    & city(sK7,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f193,f195,f194]) ).

fof(f194,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ! [X6] :
            ( ~ member(X4,X6,X5)
            | ( fellow(X4,X6)
              & young(X4,X6) ) )
        & placename(X4,X2)
        & event(X4,X1)
        & chevy(X4,X3)
        & hollywood_placename(X4,X2)
        & old(X4,X3)
        & ! [X7] :
            ( ? [X8,X9] :
                ( frontseat(X4,X8)
                & be(X4,X9,X7,X8)
                & state(X4,X9) )
            | ~ member(X4,X7,X5) )
        & group(X4,X5)
        & street(X4,X0)
        & barrel(X4,X1)
        & two(X4,X5)
        & of(X4,X2,X0)
        & city(X4,X0) )
   => ( ! [X6] :
          ( ~ member(sK7,X6,sK8)
          | ( fellow(sK7,X6)
            & young(sK7,X6) ) )
      & placename(sK7,sK5)
      & event(sK7,sK4)
      & chevy(sK7,sK6)
      & hollywood_placename(sK7,sK5)
      & old(sK7,sK6)
      & ! [X7] :
          ( ? [X9,X8] :
              ( frontseat(sK7,X8)
              & be(sK7,X9,X7,X8)
              & state(sK7,X9) )
          | ~ member(sK7,X7,sK8) )
      & group(sK7,sK8)
      & street(sK7,sK3)
      & barrel(sK7,sK4)
      & two(sK7,sK8)
      & of(sK7,sK5,sK3)
      & city(sK7,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f195,plain,
    ! [X7] :
      ( ? [X9,X8] :
          ( frontseat(sK7,X8)
          & be(sK7,X9,X7,X8)
          & state(sK7,X9) )
     => ( frontseat(sK7,sK9(X7))
        & be(sK7,sK10(X7),X7,sK9(X7))
        & state(sK7,sK10(X7)) ) ),
    introduced(choice_axiom,[]) ).

fof(f193,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ! [X6] :
          ( ~ member(X4,X6,X5)
          | ( fellow(X4,X6)
            & young(X4,X6) ) )
      & placename(X4,X2)
      & event(X4,X1)
      & chevy(X4,X3)
      & hollywood_placename(X4,X2)
      & old(X4,X3)
      & ! [X7] :
          ( ? [X8,X9] :
              ( frontseat(X4,X8)
              & be(X4,X9,X7,X8)
              & state(X4,X9) )
          | ~ member(X4,X7,X5) )
      & group(X4,X5)
      & street(X4,X0)
      & barrel(X4,X1)
      & two(X4,X5)
      & of(X4,X2,X0)
      & city(X4,X0) ),
    inference(rectify,[],[f144]) ).

fof(f144,plain,
    ? [X5,X4,X1,X2,X0,X3] :
      ( ! [X6] :
          ( ~ member(X0,X6,X3)
          | ( fellow(X0,X6)
            & young(X0,X6) ) )
      & placename(X0,X1)
      & event(X0,X4)
      & chevy(X0,X2)
      & hollywood_placename(X0,X1)
      & old(X0,X2)
      & ! [X7] :
          ( ? [X8,X9] :
              ( frontseat(X0,X8)
              & be(X0,X9,X7,X8)
              & state(X0,X9) )
          | ~ member(X0,X7,X3) )
      & group(X0,X3)
      & street(X0,X5)
      & barrel(X0,X4)
      & two(X0,X3)
      & of(X0,X1,X5)
      & city(X0,X5) ),
    inference(ennf_transformation,[],[f99]) ).

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

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

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

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

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

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

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

fof(f92,plain,
    ? [X0] :
      ( ? [X3,X5,X4,X2,X1] :
          ( dirty(X0,X2)
          & lonely(X0,X5)
          & down(X0,X4,X5)
          & present(X0,X4)
          & two(X0,X3)
          & event(X0,X4)
          & city(X0,X5)
          & group(X0,X3)
          & agent(X0,X4,X2)
          & chevy(X0,X2)
          & old(X0,X2)
          & of(X0,X1,X5)
          & barrel(X0,X4)
          & white(X0,X2)
          & street(X0,X5)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & ! [X7] :
              ( member(X0,X7,X3)
             => ? [X8,X9] :
                  ( frontseat(X0,X8)
                  & be(X0,X9,X7,X8)
                  & state(X0,X9) ) )
          & hollywood_placename(X0,X1) )
      & actual_world(X0) ),
    inference(pure_predicate_removal,[],[f89]) ).

fof(f89,plain,
    ? [X0] :
      ( ? [X3,X5,X4,X2,X1] :
          ( in(X0,X4,X5)
          & dirty(X0,X2)
          & lonely(X0,X5)
          & down(X0,X4,X5)
          & present(X0,X4)
          & two(X0,X3)
          & event(X0,X4)
          & city(X0,X5)
          & group(X0,X3)
          & agent(X0,X4,X2)
          & chevy(X0,X2)
          & old(X0,X2)
          & of(X0,X1,X5)
          & barrel(X0,X4)
          & white(X0,X2)
          & street(X0,X5)
          & placename(X0,X1)
          & ! [X6] :
              ( member(X0,X6,X3)
             => ( fellow(X0,X6)
                & young(X0,X6) ) )
          & ! [X7] :
              ( member(X0,X7,X3)
             => ? [X9,X8] :
                  ( in(X0,X8,X8)
                  & frontseat(X0,X8)
                  & state(X0,X9)
                  & be(X0,X9,X7,X8) ) )
          & hollywood_placename(X0,X1) )
      & actual_world(X0) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ~ ~ ? [X0] :
          ( ? [X3,X5,X4,X2,X1] :
              ( in(X0,X4,X5)
              & dirty(X0,X2)
              & lonely(X0,X5)
              & down(X0,X4,X5)
              & present(X0,X4)
              & two(X0,X3)
              & event(X0,X4)
              & city(X0,X5)
              & group(X0,X3)
              & agent(X0,X4,X2)
              & chevy(X0,X2)
              & old(X0,X2)
              & of(X0,X1,X5)
              & barrel(X0,X4)
              & white(X0,X2)
              & street(X0,X5)
              & placename(X0,X1)
              & ! [X6] :
                  ( member(X0,X6,X3)
                 => ( fellow(X0,X6)
                    & young(X0,X6) ) )
              & ! [X7] :
                  ( member(X0,X7,X3)
                 => ? [X9,X8] :
                      ( in(X0,X8,X8)
                      & frontseat(X0,X8)
                      & state(X0,X9)
                      & be(X0,X9,X7,X8) ) )
              & hollywood_placename(X0,X1) )
          & actual_world(X0) ),
    inference(rectify,[],[f63]) ).

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

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

fof(f409,plain,
    ( ~ two(sK7,sK8)
    | sK9(sK2(sK7,sK8)) = sK2(sK7,sK8) ),
    inference(resolution,[],[f342,f247]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( member(X0,sK2(X0,X1),X1)
      | ~ two(X0,X1) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ! [X2] :
            ( ! [X3] :
                ( ( member(X0,sK0(X0,X1,X2,X3),X1)
                  & sK0(X0,X1,X2,X3) != X2
                  & sK0(X0,X1,X2,X3) != X3 )
                | X2 = X3
                | ~ member(X0,X3,X1) )
            | ~ member(X0,X2,X1) ) )
      & ( ( ! [X7] :
              ( ~ member(X0,X7,X1)
              | sK1(X0,X1) = X7
              | sK2(X0,X1) = X7 )
          & sK2(X0,X1) != sK1(X0,X1)
          & member(X0,sK2(X0,X1),X1)
          & member(X0,sK1(X0,X1),X1) )
        | ~ two(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f187,f190,f189,f188]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( member(X0,X4,X1)
          & X2 != X4
          & X3 != X4 )
     => ( member(X0,sK0(X0,X1,X2,X3),X1)
        & sK0(X0,X1,X2,X3) != X2
        & sK0(X0,X1,X2,X3) != X3 ) ),
    introduced(choice_axiom,[]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ? [X6] :
              ( ! [X7] :
                  ( ~ member(X0,X7,X1)
                  | X5 = X7
                  | X6 = X7 )
              & X5 != X6
              & member(X0,X6,X1) )
          & member(X0,X5,X1) )
     => ( ? [X6] :
            ( ! [X7] :
                ( ~ member(X0,X7,X1)
                | sK1(X0,X1) = X7
                | X6 = X7 )
            & sK1(X0,X1) != X6
            & member(X0,X6,X1) )
        & member(X0,sK1(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ? [X6] :
          ( ! [X7] :
              ( ~ member(X0,X7,X1)
              | sK1(X0,X1) = X7
              | X6 = X7 )
          & sK1(X0,X1) != X6
          & member(X0,X6,X1) )
     => ( ! [X7] :
            ( ~ member(X0,X7,X1)
            | sK1(X0,X1) = X7
            | sK2(X0,X1) = X7 )
        & sK2(X0,X1) != sK1(X0,X1)
        & member(X0,sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f187,plain,
    ! [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) ) )
      & ( ? [X5] :
            ( ? [X6] :
                ( ! [X7] :
                    ( ~ member(X0,X7,X1)
                    | X5 = X7
                    | X6 = X7 )
                & X5 != X6
                & member(X0,X6,X1) )
            & member(X0,X5,X1) )
        | ~ two(X0,X1) ) ),
    inference(rectify,[],[f186]) ).

fof(f186,plain,
    ! [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) ) )
      & ( ? [X2] :
            ( ? [X3] :
                ( ! [X4] :
                    ( ~ member(X0,X4,X1)
                    | X2 = X4
                    | X3 = X4 )
                & X2 != X3
                & member(X0,X3,X1) )
            & member(X0,X2,X1) )
        | ~ two(X0,X1) ) ),
    inference(nnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [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) ) ),
    inference(flattening,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( ! [X4] :
                  ( X2 = X4
                  | X3 = X4
                  | ~ member(X0,X4,X1) )
              & member(X0,X3,X1)
              & X2 != X3 )
          & member(X0,X2,X1) )
    <=> two(X0,X1) ),
    inference(ennf_transformation,[],[f60]) ).

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

fof(f342,plain,
    ! [X0] :
      ( ~ member(sK7,X0,sK8)
      | sK9(X0) = X0 ),
    inference(resolution,[],[f267,f241]) ).

fof(f241,plain,
    ! [X2,X3,X0,X1] :
      ( ~ be(X1,X2,X0,X3)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0,X1,X2,X3] :
      ( ~ be(X1,X2,X0,X3)
      | X0 = X3 ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X2,X0,X3,X1] :
      ( ~ be(X0,X3,X2,X1)
      | X1 = X2 ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X3,X1,X0,X2] :
      ( be(X0,X3,X2,X1)
     => X1 = X2 ),
    inference(rectify,[],[f59]) ).

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

fof(f267,plain,
    ! [X7] :
      ( be(sK7,sK10(X7),X7,sK9(X7))
      | ~ member(sK7,X7,sK8) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f392,plain,
    seat(sK7,sK9(sK2(sK7,sK8))),
    inference(unit_resulting_resolution,[],[f329,f220]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ frontseat(X0,X1)
      | seat(X0,X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f329,plain,
    frontseat(sK7,sK9(sK2(sK7,sK8))),
    inference(subsumption_resolution,[],[f327,f262]) ).

fof(f327,plain,
    ( frontseat(sK7,sK9(sK2(sK7,sK8)))
    | ~ two(sK7,sK8) ),
    inference(resolution,[],[f268,f247]) ).

fof(f268,plain,
    ! [X7] :
      ( ~ member(sK7,X7,sK8)
      | frontseat(sK7,sK9(X7)) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f557,plain,
    ~ unisex(sK7,sK2(sK7,sK8)),
    inference(resolution,[],[f443,f230]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ~ male(X1,X0)
      | ~ unisex(X1,X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ unisex(X1,X0)
      | ~ male(X1,X0) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,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/sandbox2/benchmark/theBenchmark.p',ax56) ).

fof(f443,plain,
    male(sK7,sK2(sK7,sK8)),
    inference(unit_resulting_resolution,[],[f347,f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X1,X0] :
      ( man(X0,X1)
     => male(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).

fof(f347,plain,
    man(sK7,sK2(sK7,sK8)),
    inference(unit_resulting_resolution,[],[f310,f278]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( ~ fellow(X0,X1)
      | man(X0,X1) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    inference(rectify,[],[f158]) ).

fof(f158,plain,
    ! [X1,X0] :
      ( man(X1,X0)
      | ~ fellow(X1,X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,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/sandbox2/benchmark/theBenchmark.p',ax49) ).

fof(f310,plain,
    fellow(sK7,sK2(sK7,sK8)),
    inference(subsumption_resolution,[],[f309,f262]) ).

fof(f309,plain,
    ( ~ two(sK7,sK8)
    | fellow(sK7,sK2(sK7,sK8)) ),
    inference(resolution,[],[f275,f247]) ).

fof(f275,plain,
    ! [X6] :
      ( ~ member(sK7,X6,sK8)
      | fellow(sK7,X6) ),
    inference(cnf_transformation,[],[f196]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NLP141+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n023.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
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 05:01:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (30838)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49  % (30824)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (30824)Instruction limit reached!
% 0.19/0.50  % (30824)------------------------------
% 0.19/0.50  % (30824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (30832)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50  % (30824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (30824)Termination reason: Unknown
% 0.19/0.50  % (30824)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (30824)Memory used [KB]: 1535
% 0.19/0.50  % (30824)Time elapsed: 0.005 s
% 0.19/0.50  % (30824)Instructions burned: 3 (million)
% 0.19/0.50  % (30824)------------------------------
% 0.19/0.50  % (30824)------------------------------
% 0.19/0.50  % (30843)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (30829)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50  % (30836)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (30837)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (30832)Refutation not found, incomplete strategy% (30832)------------------------------
% 0.19/0.51  % (30832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (30832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (30832)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (30832)Memory used [KB]: 6140
% 0.19/0.51  % (30832)Time elapsed: 0.120 s
% 0.19/0.51  % (30832)Instructions burned: 5 (million)
% 0.19/0.51  % (30832)------------------------------
% 0.19/0.51  % (30832)------------------------------
% 0.19/0.51  % (30837)Instruction limit reached!
% 0.19/0.51  % (30837)------------------------------
% 0.19/0.51  % (30837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (30823)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (30843)First to succeed.
% 0.19/0.51  % (30826)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (30823)Refutation not found, incomplete strategy% (30823)------------------------------
% 0.19/0.52  % (30823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30823)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (30823)Memory used [KB]: 6012
% 0.19/0.52  % (30823)Time elapsed: 0.121 s
% 0.19/0.52  % (30823)Instructions burned: 2 (million)
% 0.19/0.52  % (30823)------------------------------
% 0.19/0.52  % (30823)------------------------------
% 0.19/0.52  % (30830)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52  % (30825)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (30826)Refutation not found, incomplete strategy% (30826)------------------------------
% 0.19/0.52  % (30826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30826)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (30826)Memory used [KB]: 6140
% 0.19/0.52  % (30826)Time elapsed: 0.128 s
% 0.19/0.52  % (30826)Instructions burned: 4 (million)
% 0.19/0.52  % (30826)------------------------------
% 0.19/0.52  % (30826)------------------------------
% 0.19/0.52  % (30851)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52  % (30843)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (30843)------------------------------
% 0.19/0.52  % (30843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30843)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (30843)Memory used [KB]: 6396
% 0.19/0.52  % (30843)Time elapsed: 0.129 s
% 0.19/0.52  % (30843)Instructions burned: 12 (million)
% 0.19/0.52  % (30843)------------------------------
% 0.19/0.52  % (30843)------------------------------
% 0.19/0.52  % (30821)Success in time 0.175 s
%------------------------------------------------------------------------------