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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NLP001+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:16:09 PM UTC 2026

% Result   : Theorem 2.17s 6.29s
% Output   : CNFRefutation 2.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  100 (   3 unt;   2 def)
%            Number of atoms       :  772 (   0 equ)
%            Maximal formula atoms :   56 (   7 avg)
%            Number of connectives :  964 ( 363   ~; 368   |; 229   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  21 usr;   8 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :  126 (   0 sgn  66   !;  60   ?;  30   :)

% 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/sandbox2/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,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ? [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(ennf_transformation,[],[f2]) ).

fof(f7,plain,
    ( ~ sP1
    | ? [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) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( ~ sP1
    | ( in(sK3,sK2)
      & down(sK3,sK4)
      & barrel(sK3,sK5)
      & old(sK5)
      & dirty(sK5)
      & white(sK5)
      & car(sK5)
      & chevy(sK5)
      & lonely(sK4)
      & way(sK4)
      & street(sK4)
      & event(sK3)
      & city(sK2)
      & hollywood(sK2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f7]) ).

fof(f12,plain,
    ( ( sP0
      & ! [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
      & ! [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) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f13,plain,
    ( ~ sP1
    | in(sK3,sK2) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f14,plain,
    ( ~ sP1
    | down(sK3,sK4) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f15,plain,
    ( ~ sP1
    | barrel(sK3,sK5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f16,plain,
    ( ~ sP1
    | old(sK5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f17,plain,
    ( ~ sP1
    | dirty(sK5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f18,plain,
    ( ~ sP1
    | white(sK5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f19,plain,
    ( ~ sP1
    | car(sK5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f20,plain,
    ( ~ sP1
    | chevy(sK5) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f21,plain,
    ( ~ sP1
    | lonely(sK4) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f22,plain,
    ( ~ sP1
    | way(sK4) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f23,plain,
    ( ~ sP1
    | street(sK4) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f24,plain,
    ( ~ sP1
    | event(sK3) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f25,plain,
    ( ~ sP1
    | city(sK2) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f26,plain,
    ( ~ sP1
    | hollywood(sK2) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f41,plain,
    ( sP0
    | sP1 ),
    inference(cnf_transformation,[],[f12]) ).

fof(f42,plain,
    ! [X6,X7,X4,X5] :
      ( ~ 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 ),
    inference(cnf_transformation,[],[f12]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ 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)
      | ~ 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(cnf_transformation,[],[f12]) ).

tcf(c_49,plain,
    ( hollywood(sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_50,plain,
    ( city(sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_51,plain,
    ( event(sK3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_52,plain,
    ( street(sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_53,plain,
    ( way(sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_54,plain,
    ( lonely(sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_55,plain,
    ( chevy(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_56,plain,
    ( car(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_57,plain,
    ( white(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_58,plain,
    ( dirty(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_59,plain,
    ( old(sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_60,plain,
    ( barrel(sK3,sK5)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_61,plain,
    ( down(sK3,sK4)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_62,plain,
    ( in(sK3,sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_77,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ old(X3)
      | ~ old(X1)
      | ~ dirty(X3)
      | ~ dirty(X1)
      | ~ white(X3)
      | ~ white(X1)
      | ~ car(X3)
      | ~ car(X1)
      | ~ chevy(X3)
      | ~ chevy(X1)
      | ~ lonely(X5)
      | ~ lonely(X4)
      | ~ way(X5)
      | ~ way(X4)
      | ~ street(X5)
      | ~ street(X4)
      | ~ event(X2)
      | ~ event(X0)
      | ~ city(X7)
      | ~ city(X6)
      | ~ hollywood(X7)
      | ~ hollywood(X6)
      | ~ in(X2,X7)
      | ~ in(X0,X6)
      | ~ down(X2,X5)
      | ~ down(X0,X4)
      | ~ barrel(X2,X3)
      | ~ barrel(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_79,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sP1
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ lonely(X2)
      | ~ way(X2)
      | ~ street(X2)
      | ~ event(X0)
      | ~ city(X3)
      | ~ hollywood(X3)
      | ~ in(X0,X3)
      | ~ down(X0,X2)
      | ~ barrel(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_80,negated_conjecture,
    ( sP0
    | sP1 ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_1873,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ iPr_def_10
      | ~ hollywood(X1)
      | ~ city(X1)
      | ~ event(X0)
      | ~ street(X2)
      | ~ way(X2)
      | ~ lonely(X2)
      | ~ chevy(X3)
      | ~ car(X3)
      | ~ white(X3)
      | ~ dirty(X3)
      | ~ old(X3)
      | ~ barrel(X0,X3)
      | ~ down(X0,X2)
      | ~ in(X0,X1) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_77]) ).

tcf(c_1874,negated_conjecture,
    iPr_def_10,
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).

tcf(c_1876,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( sP1
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ lonely(X2)
      | ~ way(X2)
      | ~ street(X2)
      | ~ event(X0)
      | ~ city(X3)
      | ~ hollywood(X3)
      | ~ in(X0,X3)
      | ~ down(X0,X2)
      | ~ barrel(X0,X1) ),
    inference(demodulation,[status(thm)],[c_79]) ).

tcf(c_1878,negated_conjecture,
    iPr_def_10,
    inference(demodulation,[status(thm)],[c_1874]) ).

tcf(c_1880,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ iPr_def_10
      | ~ old(X1)
      | ~ dirty(X1)
      | ~ white(X1)
      | ~ car(X1)
      | ~ chevy(X1)
      | ~ lonely(X2)
      | ~ way(X2)
      | ~ street(X2)
      | ~ event(X0)
      | ~ city(X3)
      | ~ hollywood(X3)
      | ~ in(X0,X3)
      | ~ down(X0,X2)
      | ~ barrel(X0,X1) ),
    inference(demodulation,[status(thm)],[c_1873]) ).

tcf(c_1882,plain,
    ! [X0: $i,X1: $i] :
      ( sP1
      | ~ event(sK7)
      | ~ city(sK6)
      | ~ hollywood(sK6)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0)
      | ~ lonely(X1)
      | ~ way(X1)
      | ~ street(X1)
      | ~ in(sK7,sK6)
      | ~ down(sK7,X1)
      | ~ barrel(sK7,X0) ),
    inference(instantiation,[status(thm)],[c_1876]) ).

tcf(c_1887,plain,
    ! [X0: $i] :
      ( sP1
      | ~ old(sK8)
      | ~ dirty(sK8)
      | ~ white(sK8)
      | ~ car(sK8)
      | ~ chevy(sK8)
      | ~ event(sK7)
      | ~ city(sK6)
      | ~ hollywood(sK6)
      | ~ lonely(X0)
      | ~ way(X0)
      | ~ street(X0)
      | ~ in(sK7,sK6)
      | ~ barrel(sK7,sK8)
      | ~ down(sK7,X0) ),
    inference(instantiation,[status(thm)],[c_1882]) ).

tcf(c_1890,plain,
    ( sP1
    | ~ old(sK8)
    | ~ dirty(sK8)
    | ~ white(sK8)
    | ~ car(sK8)
    | ~ chevy(sK8)
    | ~ lonely(sK9)
    | ~ way(sK9)
    | ~ street(sK9)
    | ~ event(sK7)
    | ~ city(sK6)
    | ~ hollywood(sK6)
    | ~ in(sK7,sK6)
    | ~ down(sK7,sK9)
    | ~ barrel(sK7,sK8) ),
    inference(instantiation,[status(thm)],[c_1887]) ).

tcf(c_1895,plain,
    ! [X0: $i,X1: $i] :
      ( ~ iPr_def_10
      | ~ event(sK3)
      | ~ city(sK2)
      | ~ hollywood(sK2)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0)
      | ~ lonely(X1)
      | ~ way(X1)
      | ~ street(X1)
      | ~ in(sK3,sK2)
      | ~ down(sK3,X1)
      | ~ barrel(sK3,X0) ),
    inference(instantiation,[status(thm)],[c_1880]) ).

tcf(c_1899,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ lonely(sK4)
      | ~ way(sK4)
      | ~ street(sK4)
      | ~ event(sK3)
      | ~ city(sK2)
      | ~ hollywood(sK2)
      | ~ old(X0)
      | ~ dirty(X0)
      | ~ white(X0)
      | ~ car(X0)
      | ~ chevy(X0)
      | ~ in(sK3,sK2)
      | ~ down(sK3,sK4)
      | ~ barrel(sK3,X0) ),
    inference(instantiation,[status(thm)],[c_1895]) ).

tcf(c_1900,plain,
    ( ~ iPr_def_10
    | ~ old(sK5)
    | ~ dirty(sK5)
    | ~ white(sK5)
    | ~ car(sK5)
    | ~ chevy(sK5)
    | ~ lonely(sK4)
    | ~ way(sK4)
    | ~ street(sK4)
    | ~ event(sK3)
    | ~ city(sK2)
    | ~ hollywood(sK2)
    | ~ in(sK3,sK2)
    | ~ down(sK3,sK4)
    | ~ barrel(sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_1899]) ).

fof(f4,definition,
    ( ~ sP0
    | ? [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) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f5,definition,
    ( ~ sP1
    | ? [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) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f6,plain,
    ( ( sP0
      & ! [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) ) )
    | ( 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) ) ) ),
    inference(definition_folding,[],[f3,f5,f4]) ).

fof(f9,plain,
    ( ~ sP0
    | ? [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) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f10,plain,
    ( ~ sP0
    | ? [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) ) ),
    inference(rectify,[],[f9]) ).

fof(f11,plain,
    ( ~ sP0
    | ( in(sK7,sK6)
      & down(sK7,sK9)
      & barrel(sK7,sK8)
      & lonely(sK9)
      & way(sK9)
      & street(sK9)
      & old(sK8)
      & dirty(sK8)
      & white(sK8)
      & car(sK8)
      & chevy(sK8)
      & event(sK7)
      & city(sK6)
      & hollywood(sK6) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9)],[f10]) ).

fof(f27,plain,
    ( ~ sP0
    | in(sK7,sK6) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f28,plain,
    ( ~ sP0
    | down(sK7,sK9) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f29,plain,
    ( ~ sP0
    | barrel(sK7,sK8) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f30,plain,
    ( ~ sP0
    | lonely(sK9) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f31,plain,
    ( ~ sP0
    | way(sK9) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f32,plain,
    ( ~ sP0
    | street(sK9) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f33,plain,
    ( ~ sP0
    | old(sK8) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f34,plain,
    ( ~ sP0
    | dirty(sK8) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f35,plain,
    ( ~ sP0
    | white(sK8) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f36,plain,
    ( ~ sP0
    | car(sK8) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f37,plain,
    ( ~ sP0
    | chevy(sK8) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f38,plain,
    ( ~ sP0
    | event(sK7) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f39,plain,
    ( ~ sP0
    | city(sK6) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f40,plain,
    ( ~ sP0
    | hollywood(sK6) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_63,plain,
    ( hollywood(sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_64,plain,
    ( city(sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_65,plain,
    ( event(sK7)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_66,plain,
    ( chevy(sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_67,plain,
    ( car(sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_68,plain,
    ( white(sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_69,plain,
    ( dirty(sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_70,plain,
    ( old(sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_71,plain,
    ( street(sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_72,plain,
    ( way(sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_73,plain,
    ( lonely(sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_74,plain,
    ( barrel(sK7,sK8)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_75,plain,
    ( down(sK7,sK9)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_76,plain,
    ( in(sK7,sK6)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_1089,plain,
    ( sP1
    | in(sK7,sK6) ),
    inference(resolution,[status(thm)],[c_80,c_76]) ).

tcf(c_1096,plain,
    ( sP1
    | down(sK7,sK9) ),
    inference(resolution,[status(thm)],[c_80,c_75]) ).

tcf(c_1103,plain,
    ( sP1
    | barrel(sK7,sK8) ),
    inference(resolution,[status(thm)],[c_80,c_74]) ).

tcf(c_1110,plain,
    ( sP1
    | lonely(sK9) ),
    inference(resolution,[status(thm)],[c_80,c_73]) ).

tcf(c_1117,plain,
    ( sP1
    | way(sK9) ),
    inference(resolution,[status(thm)],[c_80,c_72]) ).

tcf(c_1124,plain,
    ( sP1
    | street(sK9) ),
    inference(resolution,[status(thm)],[c_80,c_71]) ).

tcf(c_1131,plain,
    ( sP1
    | old(sK8) ),
    inference(resolution,[status(thm)],[c_80,c_70]) ).

tcf(c_1138,plain,
    ( sP1
    | dirty(sK8) ),
    inference(resolution,[status(thm)],[c_80,c_69]) ).

tcf(c_1145,plain,
    ( sP1
    | white(sK8) ),
    inference(resolution,[status(thm)],[c_80,c_68]) ).

tcf(c_1152,plain,
    ( sP1
    | car(sK8) ),
    inference(resolution,[status(thm)],[c_80,c_67]) ).

tcf(c_1159,plain,
    ( sP1
    | chevy(sK8) ),
    inference(resolution,[status(thm)],[c_80,c_66]) ).

tcf(c_1166,plain,
    ( sP1
    | event(sK7) ),
    inference(resolution,[status(thm)],[c_80,c_65]) ).

tcf(c_1173,plain,
    ( sP1
    | city(sK6) ),
    inference(resolution,[status(thm)],[c_80,c_64]) ).

tcf(c_1180,plain,
    ( sP1
    | hollywood(sK6) ),
    inference(resolution,[status(thm)],[c_80,c_63]) ).

tcf(c_1901,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1900,c_1890,c_1878,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_60,c_61,c_62,c_49,c_50,c_51,c_52,c_53,c_54,c_55,c_56,c_57,c_58,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NLP001+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.38  % Computer : n015.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Thu Sep 24 01:39:03 UTC 2026
% 0.11/5.38  % CPUTime  : 
% 0.11/5.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.42  Running first-order theorem proving
% 0.14/5.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.43  
% 0.14/5.43  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43  
% 0.14/5.43  % Detected problem language: tptp
% 0.14/5.44  % Proving...
% 2.17/6.29  % SZS status Started for theBenchmark.p
% 2.17/6.29  % SZS status Theorem for theBenchmark.p
% 2.17/6.29  
% 2.17/6.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.17/6.29  
% 2.17/6.29  % ------  iProver source info
% 2.17/6.29  
% 2.17/6.29  % git: date: 2026-07-19 20:42:38 +0200
% 2.17/6.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.17/6.29  % git: non_committed_changes: false
% 2.17/6.29  
% 2.17/6.29  % ------ Parsing...
% 2.17/6.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.17/6.29  % 
% 2.17/6.29  
% 2.17/6.29  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.17/6.29  
% 2.17/6.29  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.17/6.29   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.17/6.29  % ------ Proving...
% 2.17/6.29  % ------ Problem Properties 
% 2.17/6.29  
% 2.17/6.29  % 
% 2.17/6.29  % clauses                               33
% 2.17/6.29  % conjectures                           5
% 2.17/6.29  % EPR                                   33
% 2.17/6.29  % Horn                                  32
% 2.17/6.29  % unary                                 1
% 2.17/6.29  % binary                                29
% 2.17/6.29  % lits                                  104
% 2.17/6.29  % lits eq                               0
% 2.17/6.29  % fd_pure                               0
% 2.17/6.29  % fd_pseudo                             0
% 2.17/6.29  % fd_cond                               0
% 2.17/6.29  % fd_pseudo_cond                        0
% 2.17/6.29  % AC symbols                            0
% 2.17/6.29  
% 2.17/6.29  % ------ Schedule EPR non Horn non eq is on
% 2.17/6.29  
% 2.17/6.29  % ------ no equalities: superposition off 
% 2.17/6.29  
% 2.17/6.29  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.17/6.29  
% 2.17/6.29  
% 2.17/6.29  % ------ 
% 2.17/6.29  % Current options:
% 2.17/6.29  % ------ 
% 2.17/6.29  
% 2.17/6.29  
% 2.17/6.29  % 
% 2.17/6.29  
% 2.17/6.29  % ------ Proving...
% 2.17/6.29  % 
% 2.17/6.29  
% 2.17/6.29  % SZS status Theorem for theBenchmark.p
% 2.17/6.29  
% 2.17/6.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.17/6.29  
% 2.17/6.29  
%------------------------------------------------------------------------------