TSTP Solution File: NLP143+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP143+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 : Thu Aug 31 10:12:06 EDT 2023

% Result   : Theorem 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   77 (  14 unt;   0 def)
%            Number of atoms       :  539 (  49 equ)
%            Maximal formula atoms :   36 (   7 avg)
%            Number of connectives :  545 (  83   ~;  70   |; 349   &)
%                                         (   3 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   8 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   :  274 (; 141   !; 133   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f346,plain,
    $false,
    inference(unit_resulting_resolution,[],[f320,f336,f213]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ object(X0,X1)
      | unisex(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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax16) ).

fof(f336,plain,
    object(sK0,sK9(sK0,sK5)),
    inference(resolution,[],[f326,f205]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ~ artifact(X0,X1)
      | object(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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax20) ).

fof(f326,plain,
    artifact(sK0,sK9(sK0,sK5)),
    inference(resolution,[],[f316,f204]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ instrumentality(X0,X1)
      | artifact(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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax21) ).

fof(f316,plain,
    instrumentality(sK0,sK9(sK0,sK5)),
    inference(resolution,[],[f310,f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ furniture(X0,X1)
      | instrumentality(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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax1) ).

fof(f310,plain,
    furniture(sK0,sK9(sK0,sK5)),
    inference(resolution,[],[f295,f175]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ~ seat(X0,X1)
      | furniture(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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax2) ).

fof(f295,plain,
    seat(sK0,sK9(sK0,sK5)),
    inference(resolution,[],[f292,f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ frontseat(X0,X1)
      | seat(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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax3) ).

fof(f292,plain,
    frontseat(sK0,sK9(sK0,sK5)),
    inference(forward_demodulation,[],[f291,f289]) ).

fof(f289,plain,
    sK9(sK0,sK5) = sK7(sK9(sK0,sK5)),
    inference(subsumption_resolution,[],[f284,f160]) ).

fof(f160,plain,
    two(sK0,sK5),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ! [X6] :
        ( ( young(sK0,X6)
          & fellow(sK0,X6) )
        | ~ member(sK0,X6,sK5) )
    & group(sK0,sK5)
    & two(sK0,sK5)
    & ! [X7] :
        ( ( be(sK0,sK6(X7),X7,sK7(X7))
          & state(sK0,sK6(X7))
          & frontseat(sK0,sK7(X7)) )
        | ~ member(sK0,X7,sK5) )
    & barrel(sK0,sK4)
    & event(sK0,sK4)
    & street(sK0,sK3)
    & old(sK0,sK2)
    & chevy(sK0,sK2)
    & placename(sK0,sK1)
    & hollywood_placename(sK0,sK1)
    & city(sK0,sK2)
    & of(sK0,sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f76,f140,f139]) ).

fof(f139,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)
        & street(X0,X3)
        & old(X0,X2)
        & chevy(X0,X2)
        & placename(X0,X1)
        & hollywood_placename(X0,X1)
        & city(X0,X2)
        & of(X0,X1,X2) )
   => ( ! [X6] :
          ( ( young(sK0,X6)
            & fellow(sK0,X6) )
          | ~ member(sK0,X6,sK5) )
      & group(sK0,sK5)
      & two(sK0,sK5)
      & ! [X7] :
          ( ? [X9,X8] :
              ( be(sK0,X8,X7,X9)
              & state(sK0,X8)
              & frontseat(sK0,X9) )
          | ~ member(sK0,X7,sK5) )
      & barrel(sK0,sK4)
      & event(sK0,sK4)
      & street(sK0,sK3)
      & old(sK0,sK2)
      & chevy(sK0,sK2)
      & placename(sK0,sK1)
      & hollywood_placename(sK0,sK1)
      & city(sK0,sK2)
      & of(sK0,sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ! [X7] :
      ( ? [X9,X8] :
          ( be(sK0,X8,X7,X9)
          & state(sK0,X8)
          & frontseat(sK0,X9) )
     => ( be(sK0,sK6(X7),X7,sK7(X7))
        & state(sK0,sK6(X7))
        & frontseat(sK0,sK7(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)
      & street(X0,X3)
      & old(X0,X2)
      & chevy(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)
      & street(X0,X3)
      & old(X0,X2)
      & chevy(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)
          & street(X0,X3)
          & old(X0,X2)
          & chevy(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)
          & street(X0,X3)
          & old(X0,X2)
          & white(X0,X2)
          & chevy(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)
          & street(X0,X3)
          & old(X0,X2)
          & dirty(X0,X2)
          & white(X0,X2)
          & chevy(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)
          & lonely(X0,X3)
          & street(X0,X3)
          & old(X0,X2)
          & dirty(X0,X2)
          & white(X0,X2)
          & chevy(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,X2)
          & event(X0,X4)
          & lonely(X0,X3)
          & street(X0,X3)
          & old(X0,X2)
          & dirty(X0,X2)
          & white(X0,X2)
          & chevy(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,X2)
          & event(X0,X4)
          & lonely(X0,X3)
          & street(X0,X3)
          & old(X0,X2)
          & dirty(X0,X2)
          & white(X0,X2)
          & chevy(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,X3)
          & barrel(X0,X4)
          & present(X0,X4)
          & agent(X0,X4,X2)
          & event(X0,X4)
          & lonely(X0,X3)
          & street(X0,X3)
          & old(X0,X2)
          & dirty(X0,X2)
          & white(X0,X2)
          & chevy(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,X3)
          & barrel(X0,X4)
          & present(X0,X4)
          & agent(X0,X4,X2)
          & event(X0,X4)
          & lonely(X0,X3)
          & street(X0,X3)
          & old(X0,X2)
          & dirty(X0,X2)
          & white(X0,X2)
          & chevy(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,X3)
              & barrel(X0,X4)
              & present(X0,X4)
              & agent(X0,X4,X2)
              & event(X0,X4)
              & lonely(X0,X3)
              & street(X0,X3)
              & old(X0,X2)
              & dirty(X0,X2)
              & white(X0,X2)
              & chevy(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,X3)
              & barrel(X0,X4)
              & present(X0,X4)
              & agent(X0,X4,X2)
              & event(X0,X4)
              & lonely(X0,X3)
              & street(X0,X3)
              & old(X0,X2)
              & dirty(X0,X2)
              & white(X0,X2)
              & chevy(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,X3)
            & barrel(X0,X4)
            & present(X0,X4)
            & agent(X0,X4,X2)
            & event(X0,X4)
            & lonely(X0,X3)
            & street(X0,X3)
            & old(X0,X2)
            & dirty(X0,X2)
            & white(X0,X2)
            & chevy(X0,X2)
            & placename(X0,X1)
            & hollywood_placename(X0,X1)
            & city(X0,X2)
            & of(X0,X1,X2) )
        & actual_world(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',co1) ).

fof(f284,plain,
    ( ~ two(sK0,sK5)
    | sK9(sK0,sK5) = sK7(sK9(sK0,sK5)) ),
    inference(resolution,[],[f220,f283]) ).

fof(f283,plain,
    ! [X0] :
      ( ~ member(sK0,X0,sK5)
      | sK7(X0) = X0 ),
    inference(resolution,[],[f228,f159]) ).

fof(f159,plain,
    ! [X7] :
      ( be(sK0,sK6(X7),X7,sK7(X7))
      | ~ member(sK0,X7,sK5) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f228,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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax59) ).

fof(f220,plain,
    ! [X0,X1] :
      ( member(X0,sK9(X0,X1),X1)
      | ~ two(X0,X1) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ( two(X0,X1)
        | ! [X2] :
            ( ! [X3] :
                ( ( sK8(X0,X1,X2,X3) != X2
                  & sK8(X0,X1,X2,X3) != X3
                  & member(X0,sK8(X0,X1,X2,X3),X1) )
                | X2 = X3
                | ~ member(X0,X3,X1) )
            | ~ member(X0,X2,X1) ) )
      & ( ( ! [X7] :
              ( sK9(X0,X1) = X7
              | sK10(X0,X1) = X7
              | ~ member(X0,X7,X1) )
          & sK9(X0,X1) != sK10(X0,X1)
          & member(X0,sK10(X0,X1),X1)
          & member(X0,sK9(X0,X1),X1) )
        | ~ two(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f143,f146,f145,f144]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( X2 != X4
          & X3 != X4
          & member(X0,X4,X1) )
     => ( sK8(X0,X1,X2,X3) != X2
        & sK8(X0,X1,X2,X3) != X3
        & member(X0,sK8(X0,X1,X2,X3),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ? [X6] :
              ( ! [X7] :
                  ( X5 = X7
                  | X6 = X7
                  | ~ member(X0,X7,X1) )
              & X5 != X6
              & member(X0,X6,X1) )
          & member(X0,X5,X1) )
     => ( ? [X6] :
            ( ! [X7] :
                ( sK9(X0,X1) = X7
                | X6 = X7
                | ~ member(X0,X7,X1) )
            & sK9(X0,X1) != X6
            & member(X0,X6,X1) )
        & member(X0,sK9(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ? [X6] :
          ( ! [X7] :
              ( sK9(X0,X1) = X7
              | X6 = X7
              | ~ member(X0,X7,X1) )
          & sK9(X0,X1) != X6
          & member(X0,X6,X1) )
     => ( ! [X7] :
            ( sK9(X0,X1) = X7
            | sK10(X0,X1) = X7
            | ~ member(X0,X7,X1) )
        & sK9(X0,X1) != sK10(X0,X1)
        & member(X0,sK10(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,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) ) )
      & ( ? [X5] :
            ( ? [X6] :
                ( ! [X7] :
                    ( X5 = X7
                    | X6 = X7
                    | ~ member(X0,X7,X1) )
                & X5 != X6
                & member(X0,X6,X1) )
            & member(X0,X5,X1) )
        | ~ two(X0,X1) ) ),
    inference(rectify,[],[f142]) ).

fof(f142,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) ) )
      & ( ? [X2] :
            ( ? [X3] :
                ( ! [X4] :
                    ( X2 = X4
                    | X3 = X4
                    | ~ member(X0,X4,X1) )
                & X2 != X3
                & member(X0,X3,X1) )
            & member(X0,X2,X1) )
        | ~ two(X0,X1) ) ),
    inference(nnf_transformation,[],[f135]) ).

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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax60) ).

fof(f291,plain,
    frontseat(sK0,sK7(sK9(sK0,sK5))),
    inference(subsumption_resolution,[],[f286,f160]) ).

fof(f286,plain,
    ( ~ two(sK0,sK5)
    | frontseat(sK0,sK7(sK9(sK0,sK5))) ),
    inference(resolution,[],[f220,f157]) ).

fof(f157,plain,
    ! [X7] :
      ( ~ member(sK0,X7,sK5)
      | frontseat(sK0,sK7(X7)) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f320,plain,
    ~ unisex(sK0,sK9(sK0,sK5)),
    inference(resolution,[],[f312,f217]) ).

fof(f217,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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax56) ).

fof(f312,plain,
    male(sK0,sK9(sK0,sK5)),
    inference(resolution,[],[f307,f189]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ man(X0,X1)
      | male(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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax37) ).

fof(f307,plain,
    man(sK0,sK9(sK0,sK5)),
    inference(resolution,[],[f294,f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ fellow(X0,X1)
      | man(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/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275',ax49) ).

fof(f294,plain,
    fellow(sK0,sK9(sK0,sK5)),
    inference(subsumption_resolution,[],[f288,f160]) ).

fof(f288,plain,
    ( ~ two(sK0,sK5)
    | fellow(sK0,sK9(sK0,sK5)) ),
    inference(resolution,[],[f220,f162]) ).

fof(f162,plain,
    ! [X6] :
      ( ~ member(sK0,X6,sK5)
      | fellow(sK0,X6) ),
    inference(cnf_transformation,[],[f141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : NLP143+1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Thu Aug 24 11:04:21 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.lYfAlTKOY5/Vampire---4.8_13275
% 0.15/0.36  % (13434)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (13439)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.22/0.42  % (13452)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.42  % (13449)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42  % (13451)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.42  % (13438)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.22/0.42  % (13446)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.22/0.43  % (13443)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.22/0.43  % (13438)First to succeed.
% 0.22/0.43  % (13438)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Theorem for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44  % (13438)------------------------------
% 0.22/0.44  % (13438)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44  % (13438)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44  % (13438)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (13438)Memory used [KB]: 1407
% 0.22/0.44  % (13438)Time elapsed: 0.011 s
% 0.22/0.44  % (13438)------------------------------
% 0.22/0.44  % (13438)------------------------------
% 0.22/0.44  % (13434)Success in time 0.072 s
% 0.22/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------