TSTP Solution File: NLP001+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NLP001+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Thu Aug 31 09:54:02 EDT 2023

% Result   : Theorem 1.90s 1.20s
% Output   : CNFRefutation 1.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  105 (   2 unt;   0 def)
%            Number of atoms       :  857 (   0 equ)
%            Maximal formula atoms :   56 (   8 avg)
%            Number of connectives : 1157 ( 405   ~; 410   |; 334   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   8 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   :  153 (   0 sgn;  40   !;  84   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',co1) ).

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(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(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(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(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,
    ( ( ! [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 )
    | ( ! [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 ) ),
    inference(definition_folding,[],[f4,f6,f5]) ).

fof(f8,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(f9,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(sK3,sK2)
      & down(sK3,sK5)
      & barrel(sK3,sK4)
      & lonely(sK5)
      & way(sK5)
      & street(sK5)
      & old(sK4)
      & dirty(sK4)
      & white(sK4)
      & car(sK4)
      & chevy(sK4)
      & event(sK3)
      & city(sK2)
      & hollywood(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ( in(sK3,sK2)
      & down(sK3,sK5)
      & barrel(sK3,sK4)
      & lonely(sK5)
      & way(sK5)
      & street(sK5)
      & old(sK4)
      & dirty(sK4)
      & white(sK4)
      & car(sK4)
      & chevy(sK4)
      & event(sK3)
      & city(sK2)
      & hollywood(sK2) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f8,f9]) ).

fof(f11,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(f12,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,[],[f11]) ).

fof(f13,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(sK7,sK6)
      & down(sK7,sK8)
      & barrel(sK7,sK9)
      & old(sK9)
      & dirty(sK9)
      & white(sK9)
      & car(sK9)
      & chevy(sK9)
      & lonely(sK8)
      & way(sK8)
      & street(sK8)
      & event(sK7)
      & city(sK6)
      & hollywood(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ( ( in(sK7,sK6)
      & down(sK7,sK8)
      & barrel(sK7,sK9)
      & old(sK9)
      & dirty(sK9)
      & white(sK9)
      & car(sK9)
      & chevy(sK9)
      & lonely(sK8)
      & way(sK8)
      & street(sK8)
      & event(sK7)
      & city(sK6)
      & hollywood(sK6) )
    | ~ sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f12,f13]) ).

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) )
      & sP1 )
    | ( ! [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) )
      & sP0 ) ),
    inference(rectify,[],[f7]) ).

fof(f16,plain,
    ( hollywood(sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f17,plain,
    ( city(sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f18,plain,
    ( event(sK3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f19,plain,
    ( chevy(sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f20,plain,
    ( car(sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f21,plain,
    ( white(sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f22,plain,
    ( dirty(sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f23,plain,
    ( old(sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f24,plain,
    ( street(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f25,plain,
    ( way(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f26,plain,
    ( lonely(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f27,plain,
    ( barrel(sK3,sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f28,plain,
    ( down(sK3,sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f29,plain,
    ( in(sK3,sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f30,plain,
    ( hollywood(sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f31,plain,
    ( city(sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f32,plain,
    ( event(sK7)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f33,plain,
    ( street(sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f34,plain,
    ( way(sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f35,plain,
    ( lonely(sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f36,plain,
    ( chevy(sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f37,plain,
    ( car(sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f38,plain,
    ( white(sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f39,plain,
    ( dirty(sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f40,plain,
    ( old(sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f41,plain,
    ( barrel(sK7,sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f42,plain,
    ( down(sK7,sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f43,plain,
    ( in(sK7,sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f44,plain,
    ( sP1
    | sP0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f45,plain,
    ! [X6,X7,X4,X5] :
      ( sP1
      | ~ 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(cnf_transformation,[],[f15]) ).

fof(f46,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)
      | sP0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f47,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ 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(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(cnf_transformation,[],[f15]) ).

cnf(c_49,plain,
    ( ~ sP1
    | in(sK3,sK2) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_50,plain,
    ( ~ sP1
    | down(sK3,sK5) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_51,plain,
    ( ~ sP1
    | barrel(sK3,sK4) ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_52,plain,
    ( ~ sP1
    | lonely(sK5) ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_53,plain,
    ( ~ sP1
    | way(sK5) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_54,plain,
    ( ~ sP1
    | street(sK5) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_55,plain,
    ( ~ sP1
    | old(sK4) ),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_56,plain,
    ( ~ sP1
    | dirty(sK4) ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_57,plain,
    ( ~ sP1
    | white(sK4) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_58,plain,
    ( ~ sP1
    | car(sK4) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_59,plain,
    ( ~ sP1
    | chevy(sK4) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_60,plain,
    ( ~ sP1
    | event(sK3) ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_61,plain,
    ( ~ sP1
    | city(sK2) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_62,plain,
    ( ~ sP1
    | hollywood(sK2) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_63,plain,
    ( ~ sP0
    | in(sK7,sK6) ),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_64,plain,
    ( ~ sP0
    | down(sK7,sK8) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_65,plain,
    ( ~ sP0
    | barrel(sK7,sK9) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_66,plain,
    ( ~ sP0
    | old(sK9) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_67,plain,
    ( ~ sP0
    | dirty(sK9) ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_68,plain,
    ( ~ sP0
    | white(sK9) ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_69,plain,
    ( ~ sP0
    | car(sK9) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_70,plain,
    ( ~ sP0
    | chevy(sK9) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_71,plain,
    ( ~ sP0
    | lonely(sK8) ),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_72,plain,
    ( ~ sP0
    | way(sK8) ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_73,plain,
    ( ~ sP0
    | street(sK8) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_74,plain,
    ( ~ sP0
    | event(sK7) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_75,plain,
    ( ~ sP0
    | city(sK6) ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_76,plain,
    ( ~ sP0
    | hollywood(sK6) ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_77,negated_conjecture,
    ( ~ in(X0,X1)
    | ~ in(X2,X3)
    | ~ down(X0,X4)
    | ~ down(X2,X5)
    | ~ barrel(X0,X6)
    | ~ barrel(X2,X7)
    | ~ lonely(X4)
    | ~ lonely(X5)
    | ~ way(X4)
    | ~ way(X5)
    | ~ street(X4)
    | ~ street(X5)
    | ~ old(X6)
    | ~ old(X7)
    | ~ dirty(X6)
    | ~ dirty(X7)
    | ~ white(X6)
    | ~ white(X7)
    | ~ car(X6)
    | ~ car(X7)
    | ~ chevy(X6)
    | ~ chevy(X7)
    | ~ event(X0)
    | ~ event(X2)
    | ~ city(X1)
    | ~ city(X3)
    | ~ hollywood(X1)
    | ~ hollywood(X3) ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_78,negated_conjecture,
    ( ~ in(X0,X1)
    | ~ down(X0,X2)
    | ~ barrel(X0,X3)
    | ~ lonely(X2)
    | ~ way(X2)
    | ~ street(X2)
    | ~ old(X3)
    | ~ dirty(X3)
    | ~ white(X3)
    | ~ car(X3)
    | ~ chevy(X3)
    | ~ event(X0)
    | ~ city(X1)
    | ~ hollywood(X1)
    | sP0 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_79,negated_conjecture,
    ( ~ in(X0,X1)
    | ~ down(X0,X2)
    | ~ barrel(X0,X3)
    | ~ lonely(X2)
    | ~ way(X2)
    | ~ street(X2)
    | ~ old(X3)
    | ~ dirty(X3)
    | ~ white(X3)
    | ~ car(X3)
    | ~ chevy(X3)
    | ~ event(X0)
    | ~ city(X1)
    | ~ hollywood(X1)
    | sP1 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_80,negated_conjecture,
    ( sP1
    | sP0 ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_1089,plain,
    ( hollywood(sK6)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_76]) ).

cnf(c_1096,plain,
    ( city(sK6)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_75]) ).

cnf(c_1103,plain,
    ( event(sK7)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_74]) ).

cnf(c_1110,plain,
    ( street(sK8)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_73]) ).

cnf(c_1117,plain,
    ( way(sK8)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_72]) ).

cnf(c_1124,plain,
    ( lonely(sK8)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_71]) ).

cnf(c_1131,plain,
    ( chevy(sK9)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_70]) ).

cnf(c_1138,plain,
    ( car(sK9)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_69]) ).

cnf(c_1145,plain,
    ( white(sK9)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_68]) ).

cnf(c_1152,plain,
    ( dirty(sK9)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_67]) ).

cnf(c_1159,plain,
    ( old(sK9)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_66]) ).

cnf(c_1166,plain,
    ( barrel(sK7,sK9)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_65]) ).

cnf(c_1173,plain,
    ( down(sK7,sK8)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_64]) ).

cnf(c_1180,plain,
    ( in(sK7,sK6)
    | sP1 ),
    inference(resolution,[status(thm)],[c_80,c_63]) ).

cnf(c_1873,negated_conjecture,
    ( ~ barrel(X0,X1)
    | ~ down(X0,X2)
    | ~ in(X0,X3)
    | ~ hollywood(X3)
    | ~ city(X3)
    | ~ event(X0)
    | ~ chevy(X1)
    | ~ car(X1)
    | ~ white(X1)
    | ~ dirty(X1)
    | ~ old(X1)
    | ~ street(X2)
    | ~ way(X2)
    | ~ lonely(X2)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_77]) ).

cnf(c_1874,negated_conjecture,
    sP0_iProver_split,
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).

cnf(c_1875,plain,
    ( ~ down(sK7,X0)
    | ~ barrel(sK7,X1)
    | ~ in(sK7,sK6)
    | ~ lonely(X0)
    | ~ way(X0)
    | ~ street(X0)
    | ~ old(X1)
    | ~ dirty(X1)
    | ~ white(X1)
    | ~ car(X1)
    | ~ chevy(X1)
    | ~ event(sK7)
    | ~ city(sK6)
    | ~ hollywood(sK6)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_1873]) ).

cnf(c_1877,plain,
    ( ~ in(sK7,X0)
    | ~ down(sK7,X1)
    | ~ barrel(sK7,sK9)
    | ~ lonely(X1)
    | ~ way(X1)
    | ~ street(X1)
    | ~ city(X0)
    | ~ hollywood(X0)
    | ~ old(sK9)
    | ~ dirty(sK9)
    | ~ white(sK9)
    | ~ car(sK9)
    | ~ chevy(sK9)
    | ~ event(sK7)
    | sP1 ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_1879,plain,
    ( ~ down(sK7,X0)
    | ~ in(sK7,sK6)
    | ~ barrel(sK7,sK9)
    | ~ lonely(X0)
    | ~ way(X0)
    | ~ street(X0)
    | ~ old(sK9)
    | ~ dirty(sK9)
    | ~ white(sK9)
    | ~ car(sK9)
    | ~ chevy(sK9)
    | ~ event(sK7)
    | ~ city(sK6)
    | ~ hollywood(sK6)
    | sP1 ),
    inference(instantiation,[status(thm)],[c_1877]) ).

cnf(c_1881,plain,
    ( ~ down(sK7,X0)
    | ~ in(sK7,sK6)
    | ~ barrel(sK7,sK9)
    | ~ lonely(X0)
    | ~ way(X0)
    | ~ street(X0)
    | ~ old(sK9)
    | ~ dirty(sK9)
    | ~ white(sK9)
    | ~ car(sK9)
    | ~ chevy(sK9)
    | ~ event(sK7)
    | ~ city(sK6)
    | ~ hollywood(sK6)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_1875]) ).

cnf(c_1883,plain,
    ( ~ in(sK7,sK6)
    | ~ down(sK7,sK8)
    | ~ barrel(sK7,sK9)
    | ~ lonely(sK8)
    | ~ way(sK8)
    | ~ street(sK8)
    | ~ old(sK9)
    | ~ dirty(sK9)
    | ~ white(sK9)
    | ~ car(sK9)
    | ~ chevy(sK9)
    | ~ event(sK7)
    | ~ city(sK6)
    | ~ hollywood(sK6)
    | sP1 ),
    inference(instantiation,[status(thm)],[c_1879]) ).

cnf(c_1884,plain,
    ( ~ in(sK7,sK6)
    | ~ down(sK7,sK8)
    | ~ barrel(sK7,sK9)
    | ~ lonely(sK8)
    | ~ way(sK8)
    | ~ street(sK8)
    | ~ old(sK9)
    | ~ dirty(sK9)
    | ~ white(sK9)
    | ~ car(sK9)
    | ~ chevy(sK9)
    | ~ event(sK7)
    | ~ city(sK6)
    | ~ hollywood(sK6)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_1881]) ).

cnf(c_1885,plain,
    ( ~ down(sK3,X0)
    | ~ barrel(sK3,X1)
    | ~ in(sK3,sK2)
    | ~ lonely(X0)
    | ~ way(X0)
    | ~ street(X0)
    | ~ old(X1)
    | ~ dirty(X1)
    | ~ white(X1)
    | ~ car(X1)
    | ~ chevy(X1)
    | ~ event(sK3)
    | ~ city(sK2)
    | ~ hollywood(sK2)
    | sP0 ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_1895,plain,
    ( ~ barrel(sK3,X0)
    | ~ in(sK3,sK2)
    | ~ down(sK3,sK5)
    | ~ old(X0)
    | ~ dirty(X0)
    | ~ white(X0)
    | ~ car(X0)
    | ~ chevy(X0)
    | ~ lonely(sK5)
    | ~ way(sK5)
    | ~ street(sK5)
    | ~ event(sK3)
    | ~ city(sK2)
    | ~ hollywood(sK2)
    | sP0 ),
    inference(instantiation,[status(thm)],[c_1885]) ).

cnf(c_1896,plain,
    ( ~ in(sK3,sK2)
    | ~ down(sK3,sK5)
    | ~ barrel(sK3,sK4)
    | ~ lonely(sK5)
    | ~ way(sK5)
    | ~ street(sK5)
    | ~ old(sK4)
    | ~ dirty(sK4)
    | ~ white(sK4)
    | ~ car(sK4)
    | ~ chevy(sK4)
    | ~ event(sK3)
    | ~ city(sK2)
    | ~ hollywood(sK2)
    | sP0 ),
    inference(instantiation,[status(thm)],[c_1895]) ).

cnf(c_1897,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1896,c_1884,c_1883,c_1874,c_1180,c_1173,c_1166,c_1159,c_1152,c_1145,c_1138,c_1131,c_1124,c_1117,c_1110,c_1103,c_1096,c_1089,c_49,c_50,c_51,c_63,c_64,c_65,c_52,c_53,c_54,c_55,c_56,c_57,c_58,c_59,c_60,c_61,c_62,c_66,c_67,c_68,c_69,c_70,c_71,c_72,c_73,c_74,c_75,c_76]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NLP001+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 11:42:57 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.90/1.20  % SZS status Started for theBenchmark.p
% 1.90/1.20  % SZS status Theorem for theBenchmark.p
% 1.90/1.20  
% 1.90/1.20  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.90/1.20  
% 1.90/1.20  ------  iProver source info
% 1.90/1.20  
% 1.90/1.20  git: date: 2023-05-31 18:12:56 +0000
% 1.90/1.20  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.90/1.20  git: non_committed_changes: false
% 1.90/1.20  git: last_make_outside_of_git: false
% 1.90/1.20  
% 1.90/1.20  ------ Parsing...
% 1.90/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.90/1.20  
% 1.90/1.20  
% 1.90/1.20  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.90/1.20  
% 1.90/1.20  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 1.90/1.20   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.90/1.20  ------ Proving...
% 1.90/1.20  ------ Problem Properties 
% 1.90/1.20  
% 1.90/1.20  
% 1.90/1.20  clauses                                 33
% 1.90/1.20  conjectures                             5
% 1.90/1.20  EPR                                     33
% 1.90/1.20  Horn                                    32
% 1.90/1.20  unary                                   1
% 1.90/1.20  binary                                  29
% 1.90/1.20  lits                                    104
% 1.90/1.20  lits eq                                 0
% 1.90/1.20  fd_pure                                 0
% 1.90/1.20  fd_pseudo                               0
% 1.90/1.20  fd_cond                                 0
% 1.90/1.20  fd_pseudo_cond                          0
% 1.90/1.20  AC symbols                              0
% 1.90/1.20  
% 1.90/1.20  ------ Schedule EPR non Horn non eq is on
% 1.90/1.20  
% 1.90/1.20  ------ no equalities: superposition off 
% 1.90/1.20  
% 1.90/1.20  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.90/1.20  
% 1.90/1.20  
% 1.90/1.20  ------ 
% 1.90/1.20  Current options:
% 1.90/1.20  ------ 
% 1.90/1.20  
% 1.90/1.20  
% 1.90/1.20  
% 1.90/1.20  
% 1.90/1.20  ------ Proving...
% 1.90/1.20  
% 1.90/1.20  
% 1.90/1.20  % SZS status Theorem for theBenchmark.p
% 1.90/1.20  
% 1.90/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.90/1.21  
% 1.90/1.21  
%------------------------------------------------------------------------------