TSTP Solution File: NLP001+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NLP001+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 : n006.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 14:00:35 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  111 (  17 unt;   0 def)
%            Number of atoms       :  843 (   0 equ)
%            Maximal formula atoms :   56 (   7 avg)
%            Number of connectives : 1120 ( 388   ~; 389   |; 335   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   4 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  151 (  67   !;  84   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,plain,
    $false,
    inference(subsumption_resolution,[],[f126,f89]) ).

fof(f89,plain,
    chevy(sK10),
    inference(resolution,[],[f82,f41]) ).

fof(f41,plain,
    ( ~ sP0
    | chevy(sK10) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ( ( in(sK8,sK7)
      & down(sK8,sK9)
      & barrel(sK8,sK10)
      & old(sK10)
      & dirty(sK10)
      & white(sK10)
      & car(sK10)
      & chevy(sK10)
      & lonely(sK9)
      & way(sK9)
      & street(sK9)
      & event(sK8)
      & city(sK7)
      & hollywood(sK7) )
    | ~ sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f15,f16]) ).

fof(f16,plain,
    ( ? [X0,X1,X2,X3] :
        ( in(X1,X0)
        & down(X1,X2)
        & barrel(X1,X3)
        & old(X3)
        & dirty(X3)
        & white(X3)
        & car(X3)
        & chevy(X3)
        & lonely(X2)
        & way(X2)
        & street(X2)
        & event(X1)
        & city(X0)
        & hollywood(X0) )
   => ( in(sK8,sK7)
      & down(sK8,sK9)
      & barrel(sK8,sK10)
      & old(sK10)
      & dirty(sK10)
      & white(sK10)
      & car(sK10)
      & chevy(sK10)
      & lonely(sK9)
      & way(sK9)
      & street(sK9)
      & event(sK8)
      & city(sK7)
      & hollywood(sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( ? [X0,X1,X2,X3] :
        ( in(X1,X0)
        & down(X1,X2)
        & barrel(X1,X3)
        & old(X3)
        & dirty(X3)
        & white(X3)
        & car(X3)
        & chevy(X3)
        & lonely(X2)
        & way(X2)
        & street(X2)
        & event(X1)
        & city(X0)
        & hollywood(X0) )
    | ~ sP0 ),
    inference(rectify,[],[f14]) ).

fof(f14,plain,
    ( ? [X8,X9,X10,X11] :
        ( in(X9,X8)
        & down(X9,X10)
        & barrel(X9,X11)
        & old(X11)
        & dirty(X11)
        & white(X11)
        & car(X11)
        & chevy(X11)
        & lonely(X10)
        & way(X10)
        & street(X10)
        & event(X9)
        & city(X8)
        & hollywood(X8) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ? [X8,X9,X10,X11] :
        ( in(X9,X8)
        & down(X9,X10)
        & barrel(X9,X11)
        & old(X11)
        & dirty(X11)
        & white(X11)
        & car(X11)
        & chevy(X11)
        & lonely(X10)
        & way(X10)
        & street(X10)
        & event(X9)
        & city(X8)
        & hollywood(X8) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f82,plain,
    sP0,
    inference(subsumption_resolution,[],[f81,f55]) ).

fof(f55,plain,
    ( chevy(sK5)
    | sP0 ),
    inference(resolution,[],[f24,f51]) ).

fof(f51,plain,
    ( sP1
    | sP0 ),
    inference(resolution,[],[f19,f49]) ).

fof(f49,plain,
    ( sP2
    | sP1 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( ( ! [X0,X1,X2,X3] :
          ( ~ in(X1,X0)
          | ~ down(X1,X2)
          | ~ barrel(X1,X3)
          | ~ old(X3)
          | ~ dirty(X3)
          | ~ white(X3)
          | ~ car(X3)
          | ~ chevy(X3)
          | ~ lonely(X2)
          | ~ way(X2)
          | ~ street(X2)
          | ~ event(X1)
          | ~ city(X0)
          | ~ hollywood(X0) )
      & sP1 )
    | sP2 ),
    inference(rectify,[],[f8]) ).

fof(f8,plain,
    ( ( ! [X4,X5,X6,X7] :
          ( ~ in(X5,X4)
          | ~ down(X5,X6)
          | ~ barrel(X5,X7)
          | ~ old(X7)
          | ~ dirty(X7)
          | ~ white(X7)
          | ~ car(X7)
          | ~ chevy(X7)
          | ~ lonely(X6)
          | ~ way(X6)
          | ~ street(X6)
          | ~ event(X5)
          | ~ city(X4)
          | ~ hollywood(X4) )
      & sP1 )
    | sP2 ),
    inference(definition_folding,[],[f4,f7,f6,f5]) ).

fof(f6,plain,
    ( ? [X0,X1,X2,X3] :
        ( in(X1,X0)
        & down(X1,X3)
        & barrel(X1,X2)
        & lonely(X3)
        & way(X3)
        & street(X3)
        & old(X2)
        & dirty(X2)
        & white(X2)
        & car(X2)
        & chevy(X2)
        & event(X1)
        & city(X0)
        & hollywood(X0) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f7,plain,
    ( ( ! [X12,X13,X14,X15] :
          ( ~ in(X13,X12)
          | ~ down(X13,X15)
          | ~ barrel(X13,X14)
          | ~ lonely(X15)
          | ~ way(X15)
          | ~ street(X15)
          | ~ old(X14)
          | ~ dirty(X14)
          | ~ white(X14)
          | ~ car(X14)
          | ~ chevy(X14)
          | ~ event(X13)
          | ~ city(X12)
          | ~ hollywood(X12) )
      & sP0 )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f4,plain,
    ( ( ! [X4,X5,X6,X7] :
          ( ~ in(X5,X4)
          | ~ down(X5,X6)
          | ~ barrel(X5,X7)
          | ~ old(X7)
          | ~ dirty(X7)
          | ~ white(X7)
          | ~ car(X7)
          | ~ chevy(X7)
          | ~ lonely(X6)
          | ~ way(X6)
          | ~ street(X6)
          | ~ event(X5)
          | ~ city(X4)
          | ~ hollywood(X4) )
      & ? [X0,X1,X2,X3] :
          ( in(X1,X0)
          & down(X1,X3)
          & barrel(X1,X2)
          & lonely(X3)
          & way(X3)
          & street(X3)
          & old(X2)
          & dirty(X2)
          & white(X2)
          & car(X2)
          & chevy(X2)
          & event(X1)
          & city(X0)
          & hollywood(X0) ) )
    | ( ! [X12,X13,X14,X15] :
          ( ~ in(X13,X12)
          | ~ down(X13,X15)
          | ~ barrel(X13,X14)
          | ~ lonely(X15)
          | ~ way(X15)
          | ~ street(X15)
          | ~ old(X14)
          | ~ dirty(X14)
          | ~ white(X14)
          | ~ car(X14)
          | ~ chevy(X14)
          | ~ event(X13)
          | ~ city(X12)
          | ~ hollywood(X12) )
      & ? [X8,X9,X10,X11] :
          ( in(X9,X8)
          & down(X9,X10)
          & barrel(X9,X11)
          & old(X11)
          & dirty(X11)
          & white(X11)
          & car(X11)
          & chevy(X11)
          & lonely(X10)
          & way(X10)
          & street(X10)
          & event(X9)
          & city(X8)
          & hollywood(X8) ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ? [X0,X1,X2,X3] :
            ( in(X1,X0)
            & down(X1,X3)
            & barrel(X1,X2)
            & lonely(X3)
            & way(X3)
            & street(X3)
            & old(X2)
            & dirty(X2)
            & white(X2)
            & car(X2)
            & chevy(X2)
            & event(X1)
            & city(X0)
            & hollywood(X0) )
       => ? [X4,X5,X6,X7] :
            ( in(X5,X4)
            & down(X5,X6)
            & barrel(X5,X7)
            & old(X7)
            & dirty(X7)
            & white(X7)
            & car(X7)
            & chevy(X7)
            & lonely(X6)
            & way(X6)
            & street(X6)
            & event(X5)
            & city(X4)
            & hollywood(X4) ) )
      & ( ? [X8,X9,X10,X11] :
            ( in(X9,X8)
            & down(X9,X10)
            & barrel(X9,X11)
            & old(X11)
            & dirty(X11)
            & white(X11)
            & car(X11)
            & chevy(X11)
            & lonely(X10)
            & way(X10)
            & street(X10)
            & event(X9)
            & city(X8)
            & hollywood(X8) )
       => ? [X12,X13,X14,X15] :
            ( in(X13,X12)
            & down(X13,X15)
            & barrel(X13,X14)
            & lonely(X15)
            & way(X15)
            & street(X15)
            & old(X14)
            & dirty(X14)
            & white(X14)
            & car(X14)
            & chevy(X14)
            & event(X13)
            & city(X12)
            & hollywood(X12) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ? [X8,X9,X10,X11] :
            ( in(X9,X8)
            & down(X9,X11)
            & barrel(X9,X10)
            & lonely(X11)
            & way(X11)
            & street(X11)
            & old(X10)
            & dirty(X10)
            & white(X10)
            & car(X10)
            & chevy(X10)
            & event(X9)
            & city(X8)
            & hollywood(X8) )
       => ? [X12,X13,X14,X15] :
            ( in(X13,X12)
            & down(X13,X14)
            & barrel(X13,X15)
            & old(X15)
            & dirty(X15)
            & white(X15)
            & car(X15)
            & chevy(X15)
            & lonely(X14)
            & way(X14)
            & street(X14)
            & event(X13)
            & city(X12)
            & hollywood(X12) ) )
      & ( ? [X0,X1,X2,X3] :
            ( in(X1,X0)
            & down(X1,X2)
            & barrel(X1,X3)
            & old(X3)
            & dirty(X3)
            & white(X3)
            & car(X3)
            & chevy(X3)
            & lonely(X2)
            & way(X2)
            & street(X2)
            & event(X1)
            & city(X0)
            & hollywood(X0) )
       => ? [X4,X5,X6,X7] :
            ( in(X5,X4)
            & down(X5,X7)
            & barrel(X5,X6)
            & lonely(X7)
            & way(X7)
            & street(X7)
            & old(X6)
            & dirty(X6)
            & white(X6)
            & car(X6)
            & chevy(X6)
            & event(X5)
            & city(X4)
            & hollywood(X4) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ? [X8,X9,X10,X11] :
          ( in(X9,X8)
          & down(X9,X11)
          & barrel(X9,X10)
          & lonely(X11)
          & way(X11)
          & street(X11)
          & old(X10)
          & dirty(X10)
          & white(X10)
          & car(X10)
          & chevy(X10)
          & event(X9)
          & city(X8)
          & hollywood(X8) )
     => ? [X12,X13,X14,X15] :
          ( in(X13,X12)
          & down(X13,X14)
          & barrel(X13,X15)
          & old(X15)
          & dirty(X15)
          & white(X15)
          & car(X15)
          & chevy(X15)
          & lonely(X14)
          & way(X14)
          & street(X14)
          & event(X13)
          & city(X12)
          & hollywood(X12) ) )
    & ( ? [X0,X1,X2,X3] :
          ( in(X1,X0)
          & down(X1,X2)
          & barrel(X1,X3)
          & old(X3)
          & dirty(X3)
          & white(X3)
          & car(X3)
          & chevy(X3)
          & lonely(X2)
          & way(X2)
          & street(X2)
          & event(X1)
          & city(X0)
          & hollywood(X0) )
     => ? [X4,X5,X6,X7] :
          ( in(X5,X4)
          & down(X5,X7)
          & barrel(X5,X6)
          & lonely(X7)
          & way(X7)
          & street(X7)
          & old(X6)
          & dirty(X6)
          & white(X6)
          & car(X6)
          & chevy(X6)
          & event(X5)
          & city(X4)
          & hollywood(X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f19,plain,
    ( ~ sP2
    | sP0 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ( ! [X0,X1,X2,X3] :
          ( ~ in(X1,X0)
          | ~ down(X1,X3)
          | ~ barrel(X1,X2)
          | ~ lonely(X3)
          | ~ way(X3)
          | ~ street(X3)
          | ~ old(X2)
          | ~ dirty(X2)
          | ~ white(X2)
          | ~ car(X2)
          | ~ chevy(X2)
          | ~ event(X1)
          | ~ city(X0)
          | ~ hollywood(X0) )
      & sP0 )
    | ~ sP2 ),
    inference(rectify,[],[f9]) ).

fof(f9,plain,
    ( ( ! [X12,X13,X14,X15] :
          ( ~ in(X13,X12)
          | ~ down(X13,X15)
          | ~ barrel(X13,X14)
          | ~ lonely(X15)
          | ~ way(X15)
          | ~ street(X15)
          | ~ old(X14)
          | ~ dirty(X14)
          | ~ white(X14)
          | ~ car(X14)
          | ~ chevy(X14)
          | ~ event(X13)
          | ~ city(X12)
          | ~ hollywood(X12) )
      & sP0 )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f7]) ).

fof(f24,plain,
    ( ~ sP1
    | chevy(sK5) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( ( in(sK4,sK3)
      & down(sK4,sK6)
      & barrel(sK4,sK5)
      & lonely(sK6)
      & way(sK6)
      & street(sK6)
      & old(sK5)
      & dirty(sK5)
      & white(sK5)
      & car(sK5)
      & chevy(sK5)
      & event(sK4)
      & city(sK3)
      & hollywood(sK3) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f11,f12]) ).

fof(f12,plain,
    ( ? [X0,X1,X2,X3] :
        ( in(X1,X0)
        & down(X1,X3)
        & barrel(X1,X2)
        & lonely(X3)
        & way(X3)
        & street(X3)
        & old(X2)
        & dirty(X2)
        & white(X2)
        & car(X2)
        & chevy(X2)
        & event(X1)
        & city(X0)
        & hollywood(X0) )
   => ( in(sK4,sK3)
      & down(sK4,sK6)
      & barrel(sK4,sK5)
      & lonely(sK6)
      & way(sK6)
      & street(sK6)
      & old(sK5)
      & dirty(sK5)
      & white(sK5)
      & car(sK5)
      & chevy(sK5)
      & event(sK4)
      & city(sK3)
      & hollywood(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ( ? [X0,X1,X2,X3] :
        ( in(X1,X0)
        & down(X1,X3)
        & barrel(X1,X2)
        & lonely(X3)
        & way(X3)
        & street(X3)
        & old(X2)
        & dirty(X2)
        & white(X2)
        & car(X2)
        & chevy(X2)
        & event(X1)
        & city(X0)
        & hollywood(X0) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( ~ chevy(sK5)
    | sP0 ),
    inference(subsumption_resolution,[],[f80,f56]) ).

fof(f56,plain,
    ( car(sK5)
    | sP0 ),
    inference(resolution,[],[f25,f51]) ).

fof(f25,plain,
    ( ~ sP1
    | car(sK5) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f80,plain,
    ( ~ car(sK5)
    | ~ chevy(sK5)
    | sP0 ),
    inference(subsumption_resolution,[],[f79,f57]) ).

fof(f57,plain,
    ( white(sK5)
    | sP0 ),
    inference(resolution,[],[f26,f51]) ).

fof(f26,plain,
    ( ~ sP1
    | white(sK5) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f79,plain,
    ( ~ white(sK5)
    | ~ car(sK5)
    | ~ chevy(sK5)
    | sP0 ),
    inference(subsumption_resolution,[],[f78,f58]) ).

fof(f58,plain,
    ( dirty(sK5)
    | sP0 ),
    inference(resolution,[],[f27,f51]) ).

fof(f27,plain,
    ( ~ sP1
    | dirty(sK5) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f78,plain,
    ( ~ dirty(sK5)
    | ~ white(sK5)
    | ~ car(sK5)
    | ~ chevy(sK5)
    | sP0 ),
    inference(subsumption_resolution,[],[f77,f59]) ).

fof(f59,plain,
    ( old(sK5)
    | sP0 ),
    inference(resolution,[],[f28,f51]) ).

fof(f28,plain,
    ( ~ sP1
    | old(sK5) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f77,plain,
    ( ~ old(sK5)
    | ~ dirty(sK5)
    | ~ white(sK5)
    | ~ car(sK5)
    | ~ chevy(sK5)
    | sP0 ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f76,plain,
    ( ~ old(sK5)
    | ~ dirty(sK5)
    | ~ white(sK5)
    | ~ car(sK5)
    | ~ chevy(sK5)
    | sP0
    | sP0 ),
    inference(resolution,[],[f75,f63]) ).

fof(f63,plain,
    ( barrel(sK4,sK5)
    | sP0 ),
    inference(resolution,[],[f32,f51]) ).

fof(f32,plain,
    ( ~ sP1
    | barrel(sK4,sK5) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ barrel(sK4,X0)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0)
      | sP0 ),
    inference(subsumption_resolution,[],[f74,f60]) ).

fof(f60,plain,
    ( street(sK6)
    | sP0 ),
    inference(resolution,[],[f29,f51]) ).

fof(f29,plain,
    ( ~ sP1
    | street(sK6) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ barrel(sK4,X0)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0)
      | ~ street(sK6)
      | sP0 ),
    inference(subsumption_resolution,[],[f73,f61]) ).

fof(f61,plain,
    ( way(sK6)
    | sP0 ),
    inference(resolution,[],[f30,f51]) ).

fof(f30,plain,
    ( ~ sP1
    | way(sK6) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ barrel(sK4,X0)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0)
      | ~ way(sK6)
      | ~ street(sK6)
      | sP0 ),
    inference(subsumption_resolution,[],[f72,f62]) ).

fof(f62,plain,
    ( lonely(sK6)
    | sP0 ),
    inference(resolution,[],[f31,f51]) ).

fof(f31,plain,
    ( ~ sP1
    | lonely(sK6) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f72,plain,
    ! [X0] :
      ( ~ barrel(sK4,X0)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0)
      | ~ lonely(sK6)
      | ~ way(sK6)
      | ~ street(sK6)
      | sP0 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ barrel(sK4,X0)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0)
      | ~ lonely(sK6)
      | ~ way(sK6)
      | ~ street(sK6)
      | sP0
      | sP0 ),
    inference(resolution,[],[f70,f64]) ).

fof(f64,plain,
    ( down(sK4,sK6)
    | sP0 ),
    inference(resolution,[],[f33,f51]) ).

fof(f33,plain,
    ( ~ sP1
    | down(sK4,sK6) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ down(sK4,X0)
      | ~ barrel(sK4,X1)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | sP0 ),
    inference(subsumption_resolution,[],[f69,f19]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ down(sK4,X0)
      | ~ barrel(sK4,X1)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | sP2
      | sP0 ),
    inference(subsumption_resolution,[],[f68,f52]) ).

fof(f52,plain,
    ( hollywood(sK3)
    | sP0 ),
    inference(resolution,[],[f21,f51]) ).

fof(f21,plain,
    ( ~ sP1
    | hollywood(sK3) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ down(sK4,X0)
      | ~ barrel(sK4,X1)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | ~ hollywood(sK3)
      | sP2
      | sP0 ),
    inference(subsumption_resolution,[],[f67,f53]) ).

fof(f53,plain,
    ( city(sK3)
    | sP0 ),
    inference(resolution,[],[f22,f51]) ).

fof(f22,plain,
    ( ~ sP1
    | city(sK3) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ down(sK4,X0)
      | ~ barrel(sK4,X1)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | ~ city(sK3)
      | ~ hollywood(sK3)
      | sP2
      | sP0 ),
    inference(subsumption_resolution,[],[f66,f54]) ).

fof(f54,plain,
    ( event(sK4)
    | sP0 ),
    inference(resolution,[],[f23,f51]) ).

fof(f23,plain,
    ( ~ sP1
    | event(sK4) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ down(sK4,X0)
      | ~ barrel(sK4,X1)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | ~ event(sK4)
      | ~ city(sK3)
      | ~ hollywood(sK3)
      | sP2
      | sP0 ),
    inference(resolution,[],[f50,f65]) ).

fof(f65,plain,
    ( in(sK4,sK3)
    | sP0 ),
    inference(resolution,[],[f34,f51]) ).

fof(f34,plain,
    ( ~ sP1
    | in(sK4,sK3) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f50,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X1,X0)
      | ~ down(X1,X2)
      | ~ barrel(X1,X3)
      | ~ old(X3)
      | ~ dirty(X3)
      | ~ white(X3)
      | ~ car(X3)
      | ~ chevy(X3)
      | ~ lonely(X2)
      | ~ way(X2)
      | ~ street(X2)
      | ~ event(X1)
      | ~ city(X0)
      | ~ hollywood(X0)
      | sP2 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f126,plain,
    ~ chevy(sK10),
    inference(subsumption_resolution,[],[f125,f90]) ).

fof(f90,plain,
    car(sK10),
    inference(resolution,[],[f82,f42]) ).

fof(f42,plain,
    ( ~ sP0
    | car(sK10) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f125,plain,
    ( ~ car(sK10)
    | ~ chevy(sK10) ),
    inference(subsumption_resolution,[],[f124,f91]) ).

fof(f91,plain,
    white(sK10),
    inference(resolution,[],[f82,f43]) ).

fof(f43,plain,
    ( ~ sP0
    | white(sK10) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f124,plain,
    ( ~ white(sK10)
    | ~ car(sK10)
    | ~ chevy(sK10) ),
    inference(subsumption_resolution,[],[f123,f92]) ).

fof(f92,plain,
    dirty(sK10),
    inference(resolution,[],[f82,f44]) ).

fof(f44,plain,
    ( ~ sP0
    | dirty(sK10) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f123,plain,
    ( ~ dirty(sK10)
    | ~ white(sK10)
    | ~ car(sK10)
    | ~ chevy(sK10) ),
    inference(subsumption_resolution,[],[f122,f93]) ).

fof(f93,plain,
    old(sK10),
    inference(resolution,[],[f82,f45]) ).

fof(f45,plain,
    ( ~ sP0
    | old(sK10) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f122,plain,
    ( ~ old(sK10)
    | ~ dirty(sK10)
    | ~ white(sK10)
    | ~ car(sK10)
    | ~ chevy(sK10) ),
    inference(resolution,[],[f121,f94]) ).

fof(f94,plain,
    barrel(sK8,sK10),
    inference(resolution,[],[f82,f46]) ).

fof(f46,plain,
    ( ~ sP0
    | barrel(sK8,sK10) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ barrel(sK8,X0)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0) ),
    inference(subsumption_resolution,[],[f120,f86]) ).

fof(f86,plain,
    street(sK9),
    inference(resolution,[],[f82,f38]) ).

fof(f38,plain,
    ( ~ sP0
    | street(sK9) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ barrel(sK8,X0)
      | ~ street(sK9)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0) ),
    inference(subsumption_resolution,[],[f119,f87]) ).

fof(f87,plain,
    way(sK9),
    inference(resolution,[],[f82,f39]) ).

fof(f39,plain,
    ( ~ sP0
    | way(sK9) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ barrel(sK8,X0)
      | ~ way(sK9)
      | ~ street(sK9)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0) ),
    inference(subsumption_resolution,[],[f118,f88]) ).

fof(f88,plain,
    lonely(sK9),
    inference(resolution,[],[f82,f40]) ).

fof(f40,plain,
    ( ~ sP0
    | lonely(sK9) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ barrel(sK8,X0)
      | ~ lonely(sK9)
      | ~ way(sK9)
      | ~ street(sK9)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0) ),
    inference(resolution,[],[f117,f95]) ).

fof(f95,plain,
    down(sK8,sK9),
    inference(resolution,[],[f82,f47]) ).

fof(f47,plain,
    ( ~ sP0
    | down(sK8,sK9) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ down(sK8,X0)
      | ~ barrel(sK8,X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1) ),
    inference(subsumption_resolution,[],[f116,f83]) ).

fof(f83,plain,
    hollywood(sK7),
    inference(resolution,[],[f82,f35]) ).

fof(f35,plain,
    ( ~ sP0
    | hollywood(sK7) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ down(sK8,X0)
      | ~ barrel(sK8,X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ hollywood(sK7) ),
    inference(subsumption_resolution,[],[f115,f84]) ).

fof(f84,plain,
    city(sK7),
    inference(resolution,[],[f82,f36]) ).

fof(f36,plain,
    ( ~ sP0
    | city(sK7) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ down(sK8,X0)
      | ~ barrel(sK8,X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ city(sK7)
      | ~ hollywood(sK7) ),
    inference(subsumption_resolution,[],[f114,f85]) ).

fof(f85,plain,
    event(sK8),
    inference(resolution,[],[f82,f37]) ).

fof(f37,plain,
    ( ~ sP0
    | event(sK8) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ down(sK8,X0)
      | ~ barrel(sK8,X1)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ event(sK8)
      | ~ city(sK7)
      | ~ hollywood(sK7) ),
    inference(resolution,[],[f105,f96]) ).

fof(f96,plain,
    in(sK8,sK7),
    inference(resolution,[],[f82,f48]) ).

fof(f48,plain,
    ( ~ sP0
    | in(sK8,sK7) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X1,X0)
      | ~ down(X1,X3)
      | ~ barrel(X1,X2)
      | ~ lonely(X3)
      | ~ way(X3)
      | ~ street(X3)
      | ~ old(X2)
      | ~ dirty(X2)
      | ~ white(X2)
      | ~ car(X2)
      | ~ chevy(X2)
      | ~ event(X1)
      | ~ city(X0)
      | ~ hollywood(X0) ),
    inference(subsumption_resolution,[],[f20,f50]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X1,X0)
      | ~ down(X1,X3)
      | ~ barrel(X1,X2)
      | ~ lonely(X3)
      | ~ way(X3)
      | ~ street(X3)
      | ~ old(X2)
      | ~ dirty(X2)
      | ~ white(X2)
      | ~ car(X2)
      | ~ chevy(X2)
      | ~ event(X1)
      | ~ city(X0)
      | ~ hollywood(X0)
      | ~ sP2 ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NLP001+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37  % Computer : n006.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Apr 29 21:50:05 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (15728)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (15734)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39  % (15731)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  % (15735)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  % (15733)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39  % (15732)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.39  % (15730)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  % (15736)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [8]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  Detected minimum model sizes of [1]
% 0.15/0.39  Detected maximum model sizes of [8]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  % (15734)First to succeed.
% 0.15/0.39  Detected minimum model sizes of [1,1,1,1]
% 0.15/0.39  Detected maximum model sizes of [2,2,2,2]
% 0.15/0.39  TRYING [1,1,1,1]
% 0.15/0.39  TRYING [2,1,1,1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1,1,1,1]
% 0.15/0.39  Detected maximum model sizes of [2,2,2,2]
% 0.15/0.39  TRYING [1,1,1,1]
% 0.15/0.39  TRYING [2,2,1,1]
% 0.15/0.39  % (15730)Also succeeded, but the first one will report.
% 0.15/0.39  TRYING [2,1,1,1]
% 0.15/0.39  TRYING [2,2,1,1]
% 0.15/0.39  TRYING [2,1,2,1]
% 0.15/0.39  % (15734)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Theorem for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (15734)------------------------------
% 0.15/0.39  % (15734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (15734)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (15734)Memory used [KB]: 772
% 0.15/0.39  % (15734)Time elapsed: 0.006 s
% 0.15/0.39  % (15734)Instructions burned: 9 (million)
% 0.15/0.39  % (15734)------------------------------
% 0.15/0.39  % (15734)------------------------------
% 0.15/0.39  % (15728)Success in time 0.022 s
%------------------------------------------------------------------------------