TSTP Solution File: NLP147+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : NLP147+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n024.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 : Mon Jun 24 12:21:40 EDT 2024

% Result   : Theorem 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   80 (   6 unt;   0 def)
%            Number of atoms       :  441 (  13 equ)
%            Maximal formula atoms :   27 (   5 avg)
%            Number of connectives :  426 (  65   ~;  51   |; 268   &)
%                                         (   7 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   39 (  37 usr;   5 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  225 ( 115   !; 110   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f503,plain,
    $false,
    inference(avatar_sat_refutation,[],[f400,f416,f424,f430,f502]) ).

fof(f502,plain,
    ( ~ spl11_5
    | ~ spl11_6 ),
    inference(avatar_split_clause,[],[f500,f387,f383]) ).

fof(f383,plain,
    ( spl11_5
  <=> member(sK0,sK8(sK0,sK5),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f387,plain,
    ( spl11_6
  <=> furniture(sK0,sK8(sK0,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f500,plain,
    ( ~ member(sK0,sK8(sK0,sK5),sK5)
    | ~ spl11_6 ),
    inference(resolution,[],[f457,f389]) ).

fof(f389,plain,
    ( furniture(sK0,sK8(sK0,sK5))
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f457,plain,
    ! [X0] :
      ( ~ furniture(sK0,X0)
      | ~ member(sK0,X0,sK5) ),
    inference(resolution,[],[f349,f172]) ).

fof(f172,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f349,plain,
    ! [X0] :
      ( ~ instrumentality(sK0,X0)
      | ~ member(sK0,X0,sK5) ),
    inference(resolution,[],[f299,f231]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(resolution,[],[f196,f195]) ).

fof(f195,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f196,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/benchmark/theBenchmark.p',unknown) ).

fof(f299,plain,
    ! [X0] :
      ( ~ object(sK0,X0)
      | ~ member(sK0,X0,sK5) ),
    inference(resolution,[],[f267,f204]) ).

fof(f204,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f267,plain,
    ! [X0] :
      ( ~ unisex(sK0,X0)
      | ~ member(sK0,X0,sK5) ),
    inference(resolution,[],[f243,f238]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ man(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[],[f208,f180]) ).

fof(f180,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f208,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/benchmark/theBenchmark.p',unknown) ).

fof(f243,plain,
    ! [X0] :
      ( man(sK0,X0)
      | ~ member(sK0,X0,sK5) ),
    inference(resolution,[],[f142,f170]) ).

fof(f170,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/benchmark/theBenchmark.p',unknown) ).

fof(f142,plain,
    ! [X6] :
      ( fellow(sK0,X6)
      | ~ member(sK0,X6,sK5) ),
    inference(cnf_transformation,[],[f76]) ).

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)
      & placename(X0,X2)
      & hollywood_placename(X0,X2)
      & city(X0,X3)
      & of(X0,X2,X3)
      & street(X0,X1) ),
    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)
      & placename(X0,X2)
      & hollywood_placename(X0,X2)
      & city(X0,X3)
      & of(X0,X2,X3)
      & street(X0,X1) ),
    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)
          & placename(X0,X2)
          & hollywood_placename(X0,X2)
          & city(X0,X3)
          & of(X0,X2,X3)
          & street(X0,X1) )
      & 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)
          & placename(X0,X2)
          & hollywood_placename(X0,X2)
          & city(X0,X3)
          & of(X0,X2,X3)
          & lonely(X0,X1)
          & street(X0,X1) )
      & 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)
          & placename(X0,X2)
          & hollywood_placename(X0,X2)
          & city(X0,X3)
          & of(X0,X2,X3)
          & lonely(X0,X1)
          & street(X0,X1) )
      & 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)
          & placename(X0,X2)
          & hollywood_placename(X0,X2)
          & city(X0,X3)
          & of(X0,X2,X3)
          & lonely(X0,X1)
          & street(X0,X1) )
      & 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)
          & placename(X0,X2)
          & hollywood_placename(X0,X2)
          & city(X0,X3)
          & of(X0,X2,X3)
          & lonely(X0,X1)
          & street(X0,X1) )
      & 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)
          & placename(X0,X2)
          & hollywood_placename(X0,X2)
          & city(X0,X3)
          & of(X0,X2,X3)
          & lonely(X0,X1)
          & street(X0,X1) )
      & 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,X1)
          & 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)
          & placename(X0,X2)
          & hollywood_placename(X0,X2)
          & city(X0,X3)
          & of(X0,X2,X3)
          & lonely(X0,X1)
          & street(X0,X1) )
      & 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,X3)
          & down(X0,X4,X1)
          & 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)
          & placename(X0,X2)
          & hollywood_placename(X0,X2)
          & city(X0,X3)
          & of(X0,X2,X3)
          & lonely(X0,X1)
          & street(X0,X1) )
      & 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,X3)
              & down(X0,X4,X1)
              & 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)
              & placename(X0,X2)
              & hollywood_placename(X0,X2)
              & city(X0,X3)
              & of(X0,X2,X3)
              & lonely(X0,X1)
              & street(X0,X1) )
          & 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,X3)
              & down(X0,X4,X1)
              & 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)
              & placename(X0,X2)
              & hollywood_placename(X0,X2)
              & city(X0,X3)
              & of(X0,X2,X3)
              & lonely(X0,X1)
              & street(X0,X1) )
          & 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,X3)
            & down(X0,X4,X1)
            & 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)
            & placename(X0,X2)
            & hollywood_placename(X0,X2)
            & city(X0,X3)
            & of(X0,X2,X3)
            & lonely(X0,X1)
            & street(X0,X1) )
        & actual_world(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f430,plain,
    ( spl11_7
    | ~ spl11_8 ),
    inference(avatar_split_clause,[],[f429,f397,f392]) ).

fof(f392,plain,
    ( spl11_7
  <=> seat(sK0,sK8(sK0,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f397,plain,
    ( spl11_8
  <=> frontseat(sK0,sK8(sK0,sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

fof(f429,plain,
    ( seat(sK0,sK8(sK0,sK5))
    | ~ spl11_8 ),
    inference(resolution,[],[f399,f168]) ).

fof(f168,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/benchmark/theBenchmark.p',unknown) ).

fof(f399,plain,
    ( frontseat(sK0,sK8(sK0,sK5))
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f424,plain,
    ( spl11_6
    | ~ spl11_7 ),
    inference(avatar_split_clause,[],[f423,f392,f387]) ).

fof(f423,plain,
    ( furniture(sK0,sK8(sK0,sK5))
    | ~ spl11_7 ),
    inference(resolution,[],[f394,f166]) ).

fof(f166,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/benchmark/theBenchmark.p',unknown) ).

fof(f394,plain,
    ( seat(sK0,sK8(sK0,sK5))
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f416,plain,
    spl11_5,
    inference(avatar_contradiction_clause,[],[f415]) ).

fof(f415,plain,
    ( $false
    | spl11_5 ),
    inference(resolution,[],[f385,f252]) ).

fof(f252,plain,
    member(sK0,sK8(sK0,sK5),sK5),
    inference(resolution,[],[f217,f153]) ).

fof(f153,plain,
    two(sK0,sK5),
    inference(cnf_transformation,[],[f76]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ~ two(X0,X1)
      | member(X0,sK8(X0,X1),X1) ),
    inference(cnf_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/benchmark/theBenchmark.p',unknown) ).

fof(f385,plain,
    ( ~ member(sK0,sK8(sK0,sK5),sK5)
    | spl11_5 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f400,plain,
    ( ~ spl11_5
    | spl11_8 ),
    inference(avatar_split_clause,[],[f381,f397,f383]) ).

fof(f381,plain,
    ( frontseat(sK0,sK8(sK0,sK5))
    | ~ member(sK0,sK8(sK0,sK5),sK5) ),
    inference(superposition,[],[f139,f316]) ).

fof(f316,plain,
    sK8(sK0,sK5) = sK7(sK8(sK0,sK5)),
    inference(resolution,[],[f255,f219]) ).

fof(f219,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/benchmark/theBenchmark.p',unknown) ).

fof(f255,plain,
    be(sK0,sK6(sK8(sK0,sK5)),sK8(sK0,sK5),sK7(sK8(sK0,sK5))),
    inference(resolution,[],[f141,f252]) ).

fof(f141,plain,
    ! [X7] :
      ( ~ member(sK0,X7,sK5)
      | be(sK0,sK6(X7),X7,sK7(X7)) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f139,plain,
    ! [X7] :
      ( frontseat(sK0,sK7(X7))
      | ~ member(sK0,X7,sK5) ),
    inference(cnf_transformation,[],[f76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NLP147+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12  % Command    : run_vampire %s %d SAT
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat Jun 22 04:38:54 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running first-order model finding
% 0.14/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.39  % (31166)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (31173)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.40  % (31173)First to succeed.
% 0.22/0.40  % (31173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31166"
% 0.22/0.40  % (31166)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40  % (31173)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Theorem for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (31173)------------------------------
% 0.22/0.40  % (31173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.40  % (31173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.40  % (31173)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (31173)Memory used [KB]: 939
% 0.22/0.40  % (31173)Time elapsed: 0.007 s
% 0.22/0.40  % (31173)Instructions burned: 15 (million)
% 0.22/0.40  % (31173)------------------------------
% 0.22/0.40  % (31173)------------------------------
% 0.22/0.40  % (31166)Success in time 0.032 s
%------------------------------------------------------------------------------