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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NLP009+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n008.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 May  5 04:50:06 PM UTC 2026

% Result   : Theorem 1.25s 1.70s
% Output   : CNFRefutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    3
% Syntax   : Number of formulae    :  111 (  31 unt;   0 def)
%            Number of atoms       :  901 (  71 equ)
%            Maximal formula atoms :  112 (   8 avg)
%            Number of connectives : 1087 ( 297   ~; 398   |; 382   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   67 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   24 (  22 usr;   3 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :  187 (   0 sgn  18   !; 108   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ( ( ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
          ( hollywood(X1)
          & city(X1)
          & event(X2)
          & street(X3)
          & way(X3)
          & lonely(X3)
          & chevy(X4)
          & car(X4)
          & white(X4)
          & dirty(X4)
          & old(X4)
          & barrel(X2,X4)
          & down(X2,X3)
          & in(X2,X1)
          & seat(X7)
          & furniture(X7)
          & front(X7)
          & X5 != X6
          & fellow(X5)
          & man(X5)
          & young(X5)
          & fellow(X6)
          & man(X6)
          & young(X6)
          & X5 = X8
          & in(X8,X7)
          & X6 = X9
          & in(X9,X7) )
     => ? [X10,X11,X12,X13,X14,X15,X16,X17,X18] :
          ( hollywood(X10)
          & city(X10)
          & event(X11)
          & chevy(X12)
          & car(X12)
          & white(X12)
          & dirty(X12)
          & old(X12)
          & street(X13)
          & way(X13)
          & lonely(X13)
          & barrel(X11,X12)
          & down(X11,X13)
          & in(X11,X10)
          & seat(X16)
          & furniture(X16)
          & front(X16)
          & X14 != X15
          & fellow(X14)
          & man(X14)
          & young(X14)
          & fellow(X15)
          & man(X15)
          & young(X15)
          & X14 = X17
          & in(X17,X16)
          & X15 = X18
          & in(X18,X16) ) )
    & ( ? [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
          ( hollywood(X19)
          & city(X19)
          & event(X20)
          & chevy(X21)
          & car(X21)
          & white(X21)
          & dirty(X21)
          & old(X21)
          & street(X22)
          & way(X22)
          & lonely(X22)
          & barrel(X20,X21)
          & down(X20,X22)
          & in(X20,X19)
          & seat(X25)
          & furniture(X25)
          & front(X25)
          & X23 != X24
          & fellow(X23)
          & man(X23)
          & young(X23)
          & fellow(X24)
          & man(X24)
          & young(X24)
          & X23 = X26
          & in(X26,X25)
          & X24 = X27
          & in(X27,X25) )
     => ? [X28,X29,X30,X31,X32,X33,X34,X35,X36] :
          ( hollywood(X28)
          & city(X28)
          & event(X29)
          & street(X30)
          & way(X30)
          & lonely(X30)
          & chevy(X31)
          & car(X31)
          & white(X31)
          & dirty(X31)
          & old(X31)
          & barrel(X29,X31)
          & down(X29,X30)
          & in(X29,X28)
          & seat(X34)
          & furniture(X34)
          & front(X34)
          & X32 != X33
          & fellow(X32)
          & man(X32)
          & young(X32)
          & fellow(X33)
          & man(X33)
          & young(X33)
          & X32 = X35
          & in(X35,X34)
          & X33 = X36
          & in(X36,X34) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,plain,
    ( epred1_0
  <=> ( ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
          ( hollywood(X1)
          & city(X1)
          & event(X2)
          & street(X3)
          & way(X3)
          & lonely(X3)
          & chevy(X4)
          & car(X4)
          & white(X4)
          & dirty(X4)
          & old(X4)
          & barrel(X2,X4)
          & down(X2,X3)
          & in(X2,X1)
          & seat(X7)
          & furniture(X7)
          & front(X7)
          & X5 != X6
          & fellow(X5)
          & man(X5)
          & young(X5)
          & fellow(X6)
          & man(X6)
          & young(X6)
          & X5 = X8
          & in(X8,X7)
          & X6 = X9
          & in(X9,X7) )
     => ? [X10,X11,X12,X13,X14,X15,X16,X17,X18] :
          ( hollywood(X10)
          & city(X10)
          & event(X11)
          & chevy(X12)
          & car(X12)
          & white(X12)
          & dirty(X12)
          & old(X12)
          & street(X13)
          & way(X13)
          & lonely(X13)
          & barrel(X11,X12)
          & down(X11,X13)
          & in(X11,X10)
          & seat(X16)
          & furniture(X16)
          & front(X16)
          & X14 != X15
          & fellow(X14)
          & man(X14)
          & young(X14)
          & fellow(X15)
          & man(X15)
          & young(X15)
          & X14 = X17
          & in(X17,X16)
          & X15 = X18
          & in(X18,X16) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( ( ? [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
          ( hollywood(X1)
          & city(X1)
          & event(X2)
          & street(X3)
          & way(X3)
          & lonely(X3)
          & chevy(X4)
          & car(X4)
          & white(X4)
          & dirty(X4)
          & old(X4)
          & barrel(X2,X4)
          & down(X2,X3)
          & in(X2,X1)
          & seat(X7)
          & furniture(X7)
          & front(X7)
          & X5 != X6
          & fellow(X5)
          & man(X5)
          & young(X5)
          & fellow(X6)
          & man(X6)
          & young(X6)
          & X5 = X8
          & in(X8,X7)
          & X6 = X9
          & in(X9,X7) )
     => ? [X10,X11,X12,X13,X14,X15,X16,X17,X18] :
          ( hollywood(X10)
          & city(X10)
          & event(X11)
          & chevy(X12)
          & car(X12)
          & white(X12)
          & dirty(X12)
          & old(X12)
          & street(X13)
          & way(X13)
          & lonely(X13)
          & barrel(X11,X12)
          & down(X11,X13)
          & in(X11,X10)
          & seat(X16)
          & furniture(X16)
          & front(X16)
          & X14 != X15
          & fellow(X14)
          & man(X14)
          & young(X14)
          & fellow(X15)
          & man(X15)
          & young(X15)
          & X14 = X17
          & in(X17,X16)
          & X15 = X18
          & in(X18,X16) ) )
   => epred1_0 ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,plain,
    ! [X82,X83,X84,X85,X86,X87,X88,X89,X90] :
      ( ( hollywood(esk1_0)
        | epred1_0 )
      & ( city(esk1_0)
        | epred1_0 )
      & ( event(esk2_0)
        | epred1_0 )
      & ( street(esk3_0)
        | epred1_0 )
      & ( way(esk3_0)
        | epred1_0 )
      & ( lonely(esk3_0)
        | epred1_0 )
      & ( chevy(esk4_0)
        | epred1_0 )
      & ( car(esk4_0)
        | epred1_0 )
      & ( white(esk4_0)
        | epred1_0 )
      & ( dirty(esk4_0)
        | epred1_0 )
      & ( old(esk4_0)
        | epred1_0 )
      & ( barrel(esk2_0,esk4_0)
        | epred1_0 )
      & ( down(esk2_0,esk3_0)
        | epred1_0 )
      & ( in(esk2_0,esk1_0)
        | epred1_0 )
      & ( seat(esk7_0)
        | epred1_0 )
      & ( furniture(esk7_0)
        | epred1_0 )
      & ( front(esk7_0)
        | epred1_0 )
      & ( esk5_0 != esk6_0
        | epred1_0 )
      & ( fellow(esk5_0)
        | epred1_0 )
      & ( man(esk5_0)
        | epred1_0 )
      & ( young(esk5_0)
        | epred1_0 )
      & ( fellow(esk6_0)
        | epred1_0 )
      & ( man(esk6_0)
        | epred1_0 )
      & ( young(esk6_0)
        | epred1_0 )
      & ( esk5_0 = esk8_0
        | epred1_0 )
      & ( in(esk8_0,esk7_0)
        | epred1_0 )
      & ( esk6_0 = esk9_0
        | epred1_0 )
      & ( in(esk9_0,esk7_0)
        | epred1_0 )
      & ( ~ hollywood(X82)
        | ~ city(X82)
        | ~ event(X83)
        | ~ chevy(X84)
        | ~ car(X84)
        | ~ white(X84)
        | ~ dirty(X84)
        | ~ old(X84)
        | ~ street(X85)
        | ~ way(X85)
        | ~ lonely(X85)
        | ~ barrel(X83,X84)
        | ~ down(X83,X85)
        | ~ in(X83,X82)
        | ~ seat(X88)
        | ~ furniture(X88)
        | ~ front(X88)
        | X86 = X87
        | ~ fellow(X86)
        | ~ man(X86)
        | ~ young(X86)
        | ~ fellow(X87)
        | ~ man(X87)
        | ~ young(X87)
        | X86 != X89
        | ~ in(X89,X88)
        | X87 != X90
        | ~ in(X90,X88)
        | epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

cnf(c_0_4,plain,
    ( X6 = X7
    | epred1_0
    | ~ hollywood(X1)
    | ~ city(X1)
    | ~ event(X2)
    | ~ chevy(X3)
    | ~ car(X3)
    | ~ white(X3)
    | ~ dirty(X3)
    | ~ old(X3)
    | ~ street(X4)
    | ~ way(X4)
    | ~ lonely(X4)
    | ~ barrel(X2,X3)
    | ~ down(X2,X4)
    | ~ in(X2,X1)
    | ~ seat(X5)
    | ~ furniture(X5)
    | ~ front(X5)
    | ~ fellow(X6)
    | ~ man(X6)
    | ~ young(X6)
    | ~ fellow(X7)
    | ~ man(X7)
    | ~ young(X7)
    | X6 != X8
    | ~ in(X8,X5)
    | X7 != X9
    | ~ in(X9,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,plain,
    ( X1 = X2
    | epred1_0
    | ~ young(X2)
    | ~ young(X1)
    | ~ man(X2)
    | ~ man(X1)
    | ~ fellow(X2)
    | ~ fellow(X1)
    | ~ front(X3)
    | ~ furniture(X3)
    | ~ seat(X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ in(X4,X5)
    | ~ down(X4,X6)
    | ~ barrel(X4,X7)
    | ~ old(X7)
    | ~ dirty(X7)
    | ~ white(X7)
    | ~ car(X7)
    | ~ chevy(X7)
    | ~ lonely(X6)
    | ~ way(X6)
    | ~ street(X6)
    | ~ event(X4)
    | ~ city(X5)
    | ~ hollywood(X5) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4])]) ).

cnf(c_0_6,plain,
    ( in(esk9_0,esk7_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    ( seat(esk7_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,plain,
    ( furniture(esk7_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,plain,
    ( front(esk7_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,plain,
    ( X1 = esk9_0
    | epred1_0
    | ~ young(esk9_0)
    | ~ young(X1)
    | ~ man(esk9_0)
    | ~ man(X1)
    | ~ fellow(esk9_0)
    | ~ fellow(X1)
    | ~ in(X1,esk7_0)
    | ~ in(X2,X3)
    | ~ down(X2,X4)
    | ~ barrel(X2,X5)
    | ~ old(X5)
    | ~ dirty(X5)
    | ~ white(X5)
    | ~ car(X5)
    | ~ chevy(X5)
    | ~ lonely(X4)
    | ~ way(X4)
    | ~ street(X4)
    | ~ event(X2)
    | ~ city(X3)
    | ~ hollywood(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8]),c_0_9]) ).

cnf(c_0_11,plain,
    ( esk6_0 = esk9_0
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_12,plain,
    ( fellow(esk6_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,plain,
    ( man(esk6_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,plain,
    ( young(esk6_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_15,plain,
    ( in(esk8_0,esk7_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_16,plain,
    ( esk5_0 = esk8_0
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_17,plain,
    ( X1 = esk6_0
    | epred1_0
    | ~ young(X1)
    | ~ man(X1)
    | ~ fellow(X1)
    | ~ in(X1,esk7_0)
    | ~ in(X2,X3)
    | ~ down(X2,X4)
    | ~ barrel(X2,X5)
    | ~ old(X5)
    | ~ dirty(X5)
    | ~ white(X5)
    | ~ car(X5)
    | ~ chevy(X5)
    | ~ lonely(X4)
    | ~ way(X4)
    | ~ street(X4)
    | ~ event(X2)
    | ~ city(X3)
    | ~ hollywood(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]) ).

cnf(c_0_18,plain,
    ( epred1_0
    | in(esk5_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    ( fellow(esk5_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_20,plain,
    ( man(esk5_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_21,plain,
    ( young(esk5_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_22,plain,
    ( epred1_0
    | esk5_0 != esk6_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_23,plain,
    ( epred2_0
  <=> ( ? [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
          ( hollywood(X19)
          & city(X19)
          & event(X20)
          & chevy(X21)
          & car(X21)
          & white(X21)
          & dirty(X21)
          & old(X21)
          & street(X22)
          & way(X22)
          & lonely(X22)
          & barrel(X20,X21)
          & down(X20,X22)
          & in(X20,X19)
          & seat(X25)
          & furniture(X25)
          & front(X25)
          & X23 != X24
          & fellow(X23)
          & man(X23)
          & young(X23)
          & fellow(X24)
          & man(X24)
          & young(X24)
          & X23 = X26
          & in(X26,X25)
          & X24 = X27
          & in(X27,X25) )
     => ? [X28,X29,X30,X31,X32,X33,X34,X35,X36] :
          ( hollywood(X28)
          & city(X28)
          & event(X29)
          & street(X30)
          & way(X30)
          & lonely(X30)
          & chevy(X31)
          & car(X31)
          & white(X31)
          & dirty(X31)
          & old(X31)
          & barrel(X29,X31)
          & down(X29,X30)
          & in(X29,X28)
          & seat(X34)
          & furniture(X34)
          & front(X34)
          & X32 != X33
          & fellow(X32)
          & man(X32)
          & young(X32)
          & fellow(X33)
          & man(X33)
          & young(X33)
          & X32 = X35
          & in(X35,X34)
          & X33 = X36
          & in(X36,X34) ) ) ),
    introduced(definition) ).

cnf(c_0_24,plain,
    ( epred1_0
    | ~ in(X1,X2)
    | ~ down(X1,X3)
    | ~ barrel(X1,X4)
    | ~ old(X4)
    | ~ dirty(X4)
    | ~ white(X4)
    | ~ car(X4)
    | ~ chevy(X4)
    | ~ lonely(X3)
    | ~ way(X3)
    | ~ street(X3)
    | ~ event(X1)
    | ~ city(X2)
    | ~ hollywood(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]) ).

cnf(c_0_25,plain,
    ( in(esk2_0,esk1_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_26,plain,
    ( hollywood(esk1_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_27,plain,
    ( city(esk1_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_28,plain,
    ( event(esk2_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_29,negated_conjecture,
    ~ ( epred1_0
      & epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_1]),c_0_23]) ).

cnf(c_0_30,plain,
    ( epred1_0
    | ~ down(esk2_0,X1)
    | ~ barrel(esk2_0,X2)
    | ~ old(X2)
    | ~ dirty(X2)
    | ~ white(X2)
    | ~ car(X2)
    | ~ chevy(X2)
    | ~ lonely(X1)
    | ~ way(X1)
    | ~ street(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]) ).

cnf(c_0_31,plain,
    ( down(esk2_0,esk3_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_32,plain,
    ( street(esk3_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_33,plain,
    ( way(esk3_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,plain,
    ( lonely(esk3_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_35,plain,
    ( ( ? [X19,X20,X21,X22,X23,X24,X25,X26,X27] :
          ( hollywood(X19)
          & city(X19)
          & event(X20)
          & chevy(X21)
          & car(X21)
          & white(X21)
          & dirty(X21)
          & old(X21)
          & street(X22)
          & way(X22)
          & lonely(X22)
          & barrel(X20,X21)
          & down(X20,X22)
          & in(X20,X19)
          & seat(X25)
          & furniture(X25)
          & front(X25)
          & X23 != X24
          & fellow(X23)
          & man(X23)
          & young(X23)
          & fellow(X24)
          & man(X24)
          & young(X24)
          & X23 = X26
          & in(X26,X25)
          & X24 = X27
          & in(X27,X25) )
     => ? [X28,X29,X30,X31,X32,X33,X34,X35,X36] :
          ( hollywood(X28)
          & city(X28)
          & event(X29)
          & street(X30)
          & way(X30)
          & lonely(X30)
          & chevy(X31)
          & car(X31)
          & white(X31)
          & dirty(X31)
          & old(X31)
          & barrel(X29,X31)
          & down(X29,X30)
          & in(X29,X28)
          & seat(X34)
          & furniture(X34)
          & front(X34)
          & X32 != X33
          & fellow(X32)
          & man(X32)
          & young(X32)
          & fellow(X33)
          & man(X33)
          & young(X33)
          & X32 = X35
          & in(X35,X34)
          & X33 = X36
          & in(X36,X34) ) )
   => epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_23]) ).

fof(c_0_36,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(fof_nnf,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    ( epred1_0
    | ~ barrel(esk2_0,X1)
    | ~ old(X1)
    | ~ dirty(X1)
    | ~ white(X1)
    | ~ car(X1)
    | ~ chevy(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_34]) ).

cnf(c_0_38,plain,
    ( barrel(esk2_0,esk4_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_39,plain,
    ( chevy(esk4_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,plain,
    ( car(esk4_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_41,plain,
    ( white(esk4_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_42,plain,
    ( dirty(esk4_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_43,plain,
    ( old(esk4_0)
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_44,plain,
    ! [X100,X101,X102,X103,X104,X105,X106,X107,X108] :
      ( ( hollywood(esk10_0)
        | epred2_0 )
      & ( city(esk10_0)
        | epred2_0 )
      & ( event(esk11_0)
        | epred2_0 )
      & ( chevy(esk12_0)
        | epred2_0 )
      & ( car(esk12_0)
        | epred2_0 )
      & ( white(esk12_0)
        | epred2_0 )
      & ( dirty(esk12_0)
        | epred2_0 )
      & ( old(esk12_0)
        | epred2_0 )
      & ( street(esk13_0)
        | epred2_0 )
      & ( way(esk13_0)
        | epred2_0 )
      & ( lonely(esk13_0)
        | epred2_0 )
      & ( barrel(esk11_0,esk12_0)
        | epred2_0 )
      & ( down(esk11_0,esk13_0)
        | epred2_0 )
      & ( in(esk11_0,esk10_0)
        | epred2_0 )
      & ( seat(esk16_0)
        | epred2_0 )
      & ( furniture(esk16_0)
        | epred2_0 )
      & ( front(esk16_0)
        | epred2_0 )
      & ( esk14_0 != esk15_0
        | epred2_0 )
      & ( fellow(esk14_0)
        | epred2_0 )
      & ( man(esk14_0)
        | epred2_0 )
      & ( young(esk14_0)
        | epred2_0 )
      & ( fellow(esk15_0)
        | epred2_0 )
      & ( man(esk15_0)
        | epred2_0 )
      & ( young(esk15_0)
        | epred2_0 )
      & ( esk14_0 = esk17_0
        | epred2_0 )
      & ( in(esk17_0,esk16_0)
        | epred2_0 )
      & ( esk15_0 = esk18_0
        | epred2_0 )
      & ( in(esk18_0,esk16_0)
        | epred2_0 )
      & ( ~ hollywood(X100)
        | ~ city(X100)
        | ~ event(X101)
        | ~ street(X102)
        | ~ way(X102)
        | ~ lonely(X102)
        | ~ chevy(X103)
        | ~ car(X103)
        | ~ white(X103)
        | ~ dirty(X103)
        | ~ old(X103)
        | ~ barrel(X101,X103)
        | ~ down(X101,X102)
        | ~ in(X101,X100)
        | ~ seat(X106)
        | ~ furniture(X106)
        | ~ front(X106)
        | X104 = X105
        | ~ fellow(X104)
        | ~ man(X104)
        | ~ young(X104)
        | ~ fellow(X105)
        | ~ man(X105)
        | ~ young(X105)
        | X104 != X107
        | ~ in(X107,X106)
        | X105 != X108
        | ~ in(X108,X106)
        | epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_46,plain,
    epred1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).

cnf(c_0_47,plain,
    ( esk14_0 = esk17_0
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ~ epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).

cnf(c_0_49,plain,
    ( X6 = X7
    | epred2_0
    | ~ hollywood(X1)
    | ~ city(X1)
    | ~ event(X2)
    | ~ street(X3)
    | ~ way(X3)
    | ~ lonely(X3)
    | ~ chevy(X4)
    | ~ car(X4)
    | ~ white(X4)
    | ~ dirty(X4)
    | ~ old(X4)
    | ~ barrel(X2,X4)
    | ~ down(X2,X3)
    | ~ in(X2,X1)
    | ~ seat(X5)
    | ~ furniture(X5)
    | ~ front(X5)
    | ~ fellow(X6)
    | ~ man(X6)
    | ~ young(X6)
    | ~ fellow(X7)
    | ~ man(X7)
    | ~ young(X7)
    | X6 != X8
    | ~ in(X8,X5)
    | X7 != X9
    | ~ in(X9,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,plain,
    ( in(esk17_0,esk16_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,plain,
    esk17_0 = esk14_0,
    inference(sr,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_52,plain,
    ( young(esk14_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_53,plain,
    ( man(esk14_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_54,plain,
    ( fellow(esk14_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_55,plain,
    ( front(esk16_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_56,plain,
    ( furniture(esk16_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_57,plain,
    ( seat(esk16_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_58,plain,
    ( esk15_0 = esk18_0
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_59,plain,
    ( X1 = X2
    | epred2_0
    | ~ young(X2)
    | ~ young(X1)
    | ~ man(X2)
    | ~ man(X1)
    | ~ fellow(X2)
    | ~ fellow(X1)
    | ~ front(X3)
    | ~ furniture(X3)
    | ~ seat(X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ in(X4,X5)
    | ~ down(X4,X6)
    | ~ barrel(X4,X7)
    | ~ old(X7)
    | ~ dirty(X7)
    | ~ white(X7)
    | ~ car(X7)
    | ~ chevy(X7)
    | ~ lonely(X6)
    | ~ way(X6)
    | ~ street(X6)
    | ~ event(X4)
    | ~ city(X5)
    | ~ hollywood(X5) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_49])]) ).

cnf(c_0_60,plain,
    in(esk14_0,esk16_0),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_50,c_0_48]),c_0_51]) ).

cnf(c_0_61,plain,
    young(esk14_0),
    inference(sr,[status(thm)],[c_0_52,c_0_48]) ).

cnf(c_0_62,plain,
    man(esk14_0),
    inference(sr,[status(thm)],[c_0_53,c_0_48]) ).

cnf(c_0_63,plain,
    fellow(esk14_0),
    inference(sr,[status(thm)],[c_0_54,c_0_48]) ).

cnf(c_0_64,plain,
    front(esk16_0),
    inference(sr,[status(thm)],[c_0_55,c_0_48]) ).

cnf(c_0_65,plain,
    furniture(esk16_0),
    inference(sr,[status(thm)],[c_0_56,c_0_48]) ).

cnf(c_0_66,plain,
    seat(esk16_0),
    inference(sr,[status(thm)],[c_0_57,c_0_48]) ).

cnf(c_0_67,plain,
    ( in(esk18_0,esk16_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_68,plain,
    esk18_0 = esk15_0,
    inference(sr,[status(thm)],[c_0_58,c_0_48]) ).

cnf(c_0_69,plain,
    ( young(esk15_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_70,plain,
    ( man(esk15_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_71,plain,
    ( fellow(esk15_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_72,plain,
    ( X1 = esk14_0
    | ~ young(X1)
    | ~ man(X1)
    | ~ fellow(X1)
    | ~ in(X1,esk16_0)
    | ~ in(X2,X3)
    | ~ down(X2,X4)
    | ~ barrel(X2,X5)
    | ~ old(X5)
    | ~ dirty(X5)
    | ~ white(X5)
    | ~ car(X5)
    | ~ chevy(X5)
    | ~ lonely(X4)
    | ~ way(X4)
    | ~ street(X4)
    | ~ event(X2)
    | ~ city(X3)
    | ~ hollywood(X3) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66])]),c_0_48]) ).

cnf(c_0_73,plain,
    in(esk15_0,esk16_0),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_67,c_0_48]),c_0_68]) ).

cnf(c_0_74,plain,
    young(esk15_0),
    inference(sr,[status(thm)],[c_0_69,c_0_48]) ).

cnf(c_0_75,plain,
    man(esk15_0),
    inference(sr,[status(thm)],[c_0_70,c_0_48]) ).

cnf(c_0_76,plain,
    fellow(esk15_0),
    inference(sr,[status(thm)],[c_0_71,c_0_48]) ).

cnf(c_0_77,plain,
    ( in(esk11_0,esk10_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_78,plain,
    ( event(esk11_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_79,plain,
    ( city(esk10_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_80,plain,
    ( hollywood(esk10_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_81,plain,
    ( esk15_0 = esk14_0
    | ~ in(X1,X2)
    | ~ down(X1,X3)
    | ~ barrel(X1,X4)
    | ~ old(X4)
    | ~ dirty(X4)
    | ~ white(X4)
    | ~ car(X4)
    | ~ chevy(X4)
    | ~ lonely(X3)
    | ~ way(X3)
    | ~ street(X3)
    | ~ event(X1)
    | ~ city(X2)
    | ~ hollywood(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]),c_0_76])]) ).

cnf(c_0_82,plain,
    in(esk11_0,esk10_0),
    inference(sr,[status(thm)],[c_0_77,c_0_48]) ).

cnf(c_0_83,plain,
    event(esk11_0),
    inference(sr,[status(thm)],[c_0_78,c_0_48]) ).

cnf(c_0_84,plain,
    city(esk10_0),
    inference(sr,[status(thm)],[c_0_79,c_0_48]) ).

cnf(c_0_85,plain,
    hollywood(esk10_0),
    inference(sr,[status(thm)],[c_0_80,c_0_48]) ).

cnf(c_0_86,plain,
    ( down(esk11_0,esk13_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_87,plain,
    ( lonely(esk13_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_88,plain,
    ( way(esk13_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_89,plain,
    ( street(esk13_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_90,plain,
    ( esk15_0 = esk14_0
    | ~ down(esk11_0,X1)
    | ~ barrel(esk11_0,X2)
    | ~ old(X2)
    | ~ dirty(X2)
    | ~ white(X2)
    | ~ car(X2)
    | ~ chevy(X2)
    | ~ lonely(X1)
    | ~ way(X1)
    | ~ street(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]),c_0_85])]) ).

cnf(c_0_91,plain,
    down(esk11_0,esk13_0),
    inference(sr,[status(thm)],[c_0_86,c_0_48]) ).

cnf(c_0_92,plain,
    lonely(esk13_0),
    inference(sr,[status(thm)],[c_0_87,c_0_48]) ).

cnf(c_0_93,plain,
    way(esk13_0),
    inference(sr,[status(thm)],[c_0_88,c_0_48]) ).

cnf(c_0_94,plain,
    street(esk13_0),
    inference(sr,[status(thm)],[c_0_89,c_0_48]) ).

cnf(c_0_95,plain,
    ( barrel(esk11_0,esk12_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_96,plain,
    ( old(esk12_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_97,plain,
    ( dirty(esk12_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_98,plain,
    ( white(esk12_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_99,plain,
    ( car(esk12_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_100,plain,
    ( chevy(esk12_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_101,plain,
    ( esk15_0 = esk14_0
    | ~ barrel(esk11_0,X1)
    | ~ old(X1)
    | ~ dirty(X1)
    | ~ white(X1)
    | ~ car(X1)
    | ~ chevy(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_93]),c_0_94])]) ).

cnf(c_0_102,plain,
    barrel(esk11_0,esk12_0),
    inference(sr,[status(thm)],[c_0_95,c_0_48]) ).

cnf(c_0_103,plain,
    old(esk12_0),
    inference(sr,[status(thm)],[c_0_96,c_0_48]) ).

cnf(c_0_104,plain,
    dirty(esk12_0),
    inference(sr,[status(thm)],[c_0_97,c_0_48]) ).

cnf(c_0_105,plain,
    white(esk12_0),
    inference(sr,[status(thm)],[c_0_98,c_0_48]) ).

cnf(c_0_106,plain,
    car(esk12_0),
    inference(sr,[status(thm)],[c_0_99,c_0_48]) ).

cnf(c_0_107,plain,
    chevy(esk12_0),
    inference(sr,[status(thm)],[c_0_100,c_0_48]) ).

cnf(c_0_108,plain,
    ( epred2_0
    | esk14_0 != esk15_0 ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_109,plain,
    esk15_0 = esk14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106]),c_0_107])]) ).

cnf(c_0_110,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109])]),c_0_48]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NLP009+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.10  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.30  % Computer : n008.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Mon May  4 23:39:58 EDT 2026
% 0.11/0.31  % CPUTime    : 
% 0.11/0.32  % start to proof: theBenchmark
% 1.25/1.70  % Version  : CSE_E---1.7
% 1.25/1.70  % Problem  : theBenchmark.p
% 1.25/1.70  % SZS status Theorem for theBenchmark.p
% 1.25/1.70  % SZS output start CNFRefutation
% See solution above
% 1.25/1.70  % Total time : 1.371s
%------------------------------------------------------------------------------