TSTP Solution File: NLP001+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NLP001+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 : 600s
% DateTime : Mon Jul 18 03:13:34 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 1
% Syntax : Number of formulae : 107 ( 60 unt; 0 def)
% Number of atoms : 748 ( 0 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 1011 ( 370 ~; 328 |; 305 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 150 ( 0 sgn 28 !; 84 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
( ( ? [U,V,W,X] :
( hollywood(U)
& city(U)
& event(V)
& street(W)
& way(W)
& lonely(W)
& chevy(X)
& car(X)
& white(X)
& dirty(X)
& old(X)
& barrel(V,X)
& down(V,W)
& in(V,U) )
=> ? [Y,Z,X1,X2] :
( hollywood(Y)
& city(Y)
& event(Z)
& chevy(X1)
& car(X1)
& white(X1)
& dirty(X1)
& old(X1)
& street(X2)
& way(X2)
& lonely(X2)
& barrel(Z,X1)
& down(Z,X2)
& in(Z,Y) ) )
& ( ? [X3,X4,X5,X6] :
( hollywood(X3)
& city(X3)
& event(X4)
& chevy(X5)
& car(X5)
& white(X5)
& dirty(X5)
& old(X5)
& street(X6)
& way(X6)
& lonely(X6)
& barrel(X4,X5)
& down(X4,X6)
& in(X4,X3) )
=> ? [X7,X8,X9,X10] :
( hollywood(X7)
& city(X7)
& event(X8)
& street(X9)
& way(X9)
& lonely(X9)
& chevy(X10)
& car(X10)
& white(X10)
& dirty(X10)
& old(X10)
& barrel(X8,X10)
& down(X8,X9)
& in(X8,X7) ) ) ) ).
fof(subgoal_0,plain,
( ? [U,V,W,X] :
( hollywood(U)
& city(U)
& event(V)
& street(W)
& way(W)
& lonely(W)
& chevy(X)
& car(X)
& white(X)
& dirty(X)
& old(X)
& barrel(V,X)
& down(V,W)
& in(V,U) )
=> ? [Y,Z,X1,X2] :
( hollywood(Y)
& city(Y)
& event(Z)
& chevy(X1)
& car(X1)
& white(X1)
& dirty(X1)
& old(X1)
& street(X2)
& way(X2)
& lonely(X2)
& barrel(Z,X1)
& down(Z,X2)
& in(Z,Y) ) ),
inference(strip,[],[co1]) ).
fof(subgoal_1,plain,
( ( ( ? [U,V,W,X] :
( hollywood(U)
& city(U)
& event(V)
& street(W)
& way(W)
& lonely(W)
& chevy(X)
& car(X)
& white(X)
& dirty(X)
& old(X)
& barrel(V,X)
& down(V,W)
& in(V,U) )
=> ? [Y,Z,X1,X2] :
( hollywood(Y)
& city(Y)
& event(Z)
& chevy(X1)
& car(X1)
& white(X1)
& dirty(X1)
& old(X1)
& street(X2)
& way(X2)
& lonely(X2)
& barrel(Z,X1)
& down(Z,X2)
& in(Z,Y) ) )
& ? [X3,X4,X5,X6] :
( hollywood(X3)
& city(X3)
& event(X4)
& chevy(X5)
& car(X5)
& white(X5)
& dirty(X5)
& old(X5)
& street(X6)
& way(X6)
& lonely(X6)
& barrel(X4,X5)
& down(X4,X6)
& in(X4,X3) ) )
=> ? [X7,X8,X9,X10] :
( hollywood(X7)
& city(X7)
& event(X8)
& street(X9)
& way(X9)
& lonely(X9)
& chevy(X10)
& car(X10)
& white(X10)
& dirty(X10)
& old(X10)
& barrel(X8,X10)
& down(X8,X9)
& in(X8,X7) ) ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ? [U,V,W,X] :
( hollywood(U)
& city(U)
& event(V)
& street(W)
& way(W)
& lonely(W)
& chevy(X)
& car(X)
& white(X)
& dirty(X)
& old(X)
& barrel(V,X)
& down(V,W)
& in(V,U) )
=> ? [Y,Z,X1,X2] :
( hollywood(Y)
& city(Y)
& event(Z)
& chevy(X1)
& car(X1)
& white(X1)
& dirty(X1)
& old(X1)
& street(X2)
& way(X2)
& lonely(X2)
& barrel(Z,X1)
& down(Z,X2)
& in(Z,Y) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ? [U,V,W,X] :
( barrel(V,X)
& car(X)
& chevy(X)
& city(U)
& dirty(X)
& down(V,W)
& event(V)
& hollywood(U)
& in(V,U)
& lonely(W)
& old(X)
& street(W)
& way(W)
& white(X) )
& ! [X1,X2,Y,Z] :
( ~ barrel(Z,X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ city(Y)
| ~ dirty(X1)
| ~ down(Z,X2)
| ~ event(Z)
| ~ hollywood(Y)
| ~ in(Z,Y)
| ~ lonely(X2)
| ~ old(X1)
| ~ street(X2)
| ~ way(X2)
| ~ white(X1) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [U,V,W,X] :
( barrel(V,X)
& car(X)
& chevy(X)
& city(U)
& dirty(X)
& down(V,W)
& event(V)
& hollywood(U)
& in(V,U)
& lonely(W)
& old(X)
& street(W)
& way(W)
& white(X) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( barrel(skolemFOFtoCNF_V,skolemFOFtoCNF_X)
& car(skolemFOFtoCNF_X)
& chevy(skolemFOFtoCNF_X)
& city(skolemFOFtoCNF_U)
& dirty(skolemFOFtoCNF_X)
& down(skolemFOFtoCNF_V,skolemFOFtoCNF_W)
& event(skolemFOFtoCNF_V)
& hollywood(skolemFOFtoCNF_U)
& in(skolemFOFtoCNF_V,skolemFOFtoCNF_U)
& lonely(skolemFOFtoCNF_W)
& old(skolemFOFtoCNF_X)
& street(skolemFOFtoCNF_W)
& way(skolemFOFtoCNF_W)
& white(skolemFOFtoCNF_X) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
barrel(skolemFOFtoCNF_V,skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
down(skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
in(skolemFOFtoCNF_V,skolemFOFtoCNF_U),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_6,plain,
! [X1,X2,Y,Z] :
( ~ barrel(Z,X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ city(Y)
| ~ dirty(X1)
| ~ down(Z,X2)
| ~ event(Z)
| ~ hollywood(Y)
| ~ in(Z,Y)
| ~ lonely(X2)
| ~ old(X1)
| ~ street(X2)
| ~ way(X2)
| ~ white(X1) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
! [X1,X2,Y,Z] :
( ~ barrel(Z,X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ city(Y)
| ~ dirty(X1)
| ~ down(Z,X2)
| ~ event(Z)
| ~ hollywood(Y)
| ~ in(Z,Y)
| ~ lonely(X2)
| ~ old(X1)
| ~ street(X2)
| ~ way(X2)
| ~ white(X1) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
city(skolemFOFtoCNF_U),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_9,plain,
event(skolemFOFtoCNF_V),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_10,plain,
hollywood(skolemFOFtoCNF_U),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_11,plain,
lonely(skolemFOFtoCNF_W),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_12,plain,
street(skolemFOFtoCNF_W),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_13,plain,
way(skolemFOFtoCNF_W),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_14,plain,
car(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_15,plain,
chevy(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_16,plain,
dirty(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_17,plain,
old(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_18,plain,
white(skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
barrel(skolemFOFtoCNF_V,skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
down(skolemFOFtoCNF_V,skolemFOFtoCNF_W),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
in(skolemFOFtoCNF_V,skolemFOFtoCNF_U),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ barrel(Z,X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ city(Y)
| ~ dirty(X1)
| ~ down(Z,X2)
| ~ event(Z)
| ~ hollywood(Y)
| ~ in(Z,Y)
| ~ lonely(X2)
| ~ old(X1)
| ~ street(X2)
| ~ way(X2)
| ~ white(X1) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ barrel(skolemFOFtoCNF_V,X_0)
| ~ car(X_0)
| ~ chevy(X_0)
| ~ city(skolemFOFtoCNF_U)
| ~ dirty(X_0)
| ~ down(skolemFOFtoCNF_V,X_1)
| ~ event(skolemFOFtoCNF_V)
| ~ hollywood(skolemFOFtoCNF_U)
| ~ in(skolemFOFtoCNF_V,skolemFOFtoCNF_U)
| ~ lonely(X_1)
| ~ old(X_0)
| ~ street(X_1)
| ~ way(X_1)
| ~ white(X_0) ),
inference(subst,[],[refute_0_3:[bind(X1,$fot(X_0)),bind(X2,$fot(X_1)),bind(Y,$fot(skolemFOFtoCNF_U)),bind(Z,$fot(skolemFOFtoCNF_V))]]) ).
cnf(refute_0_5,plain,
( ~ barrel(skolemFOFtoCNF_V,X_0)
| ~ car(X_0)
| ~ chevy(X_0)
| ~ city(skolemFOFtoCNF_U)
| ~ dirty(X_0)
| ~ down(skolemFOFtoCNF_V,X_1)
| ~ event(skolemFOFtoCNF_V)
| ~ hollywood(skolemFOFtoCNF_U)
| ~ lonely(X_1)
| ~ old(X_0)
| ~ street(X_1)
| ~ way(X_1)
| ~ white(X_0) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_V,skolemFOFtoCNF_U) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
city(skolemFOFtoCNF_U),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ barrel(skolemFOFtoCNF_V,X_0)
| ~ car(X_0)
| ~ chevy(X_0)
| ~ dirty(X_0)
| ~ down(skolemFOFtoCNF_V,X_1)
| ~ event(skolemFOFtoCNF_V)
| ~ hollywood(skolemFOFtoCNF_U)
| ~ lonely(X_1)
| ~ old(X_0)
| ~ street(X_1)
| ~ way(X_1)
| ~ white(X_0) ),
inference(resolve,[$cnf( city(skolemFOFtoCNF_U) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
event(skolemFOFtoCNF_V),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_9,plain,
( ~ barrel(skolemFOFtoCNF_V,X_0)
| ~ car(X_0)
| ~ chevy(X_0)
| ~ dirty(X_0)
| ~ down(skolemFOFtoCNF_V,X_1)
| ~ hollywood(skolemFOFtoCNF_U)
| ~ lonely(X_1)
| ~ old(X_0)
| ~ street(X_1)
| ~ way(X_1)
| ~ white(X_0) ),
inference(resolve,[$cnf( event(skolemFOFtoCNF_V) )],[refute_0_8,refute_0_7]) ).
cnf(refute_0_10,plain,
hollywood(skolemFOFtoCNF_U),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
( ~ barrel(skolemFOFtoCNF_V,X_0)
| ~ car(X_0)
| ~ chevy(X_0)
| ~ dirty(X_0)
| ~ down(skolemFOFtoCNF_V,X_1)
| ~ lonely(X_1)
| ~ old(X_0)
| ~ street(X_1)
| ~ way(X_1)
| ~ white(X_0) ),
inference(resolve,[$cnf( hollywood(skolemFOFtoCNF_U) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( ~ barrel(skolemFOFtoCNF_V,X_4)
| ~ car(X_4)
| ~ chevy(X_4)
| ~ dirty(X_4)
| ~ down(skolemFOFtoCNF_V,skolemFOFtoCNF_W)
| ~ lonely(skolemFOFtoCNF_W)
| ~ old(X_4)
| ~ street(skolemFOFtoCNF_W)
| ~ way(skolemFOFtoCNF_W)
| ~ white(X_4) ),
inference(subst,[],[refute_0_11:[bind(X_0,$fot(X_4)),bind(X_1,$fot(skolemFOFtoCNF_W))]]) ).
cnf(refute_0_13,plain,
( ~ barrel(skolemFOFtoCNF_V,X_4)
| ~ car(X_4)
| ~ chevy(X_4)
| ~ dirty(X_4)
| ~ lonely(skolemFOFtoCNF_W)
| ~ old(X_4)
| ~ street(skolemFOFtoCNF_W)
| ~ way(skolemFOFtoCNF_W)
| ~ white(X_4) ),
inference(resolve,[$cnf( down(skolemFOFtoCNF_V,skolemFOFtoCNF_W) )],[refute_0_1,refute_0_12]) ).
cnf(refute_0_14,plain,
lonely(skolemFOFtoCNF_W),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_15,plain,
( ~ barrel(skolemFOFtoCNF_V,X_4)
| ~ car(X_4)
| ~ chevy(X_4)
| ~ dirty(X_4)
| ~ old(X_4)
| ~ street(skolemFOFtoCNF_W)
| ~ way(skolemFOFtoCNF_W)
| ~ white(X_4) ),
inference(resolve,[$cnf( lonely(skolemFOFtoCNF_W) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
street(skolemFOFtoCNF_W),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_17,plain,
( ~ barrel(skolemFOFtoCNF_V,X_4)
| ~ car(X_4)
| ~ chevy(X_4)
| ~ dirty(X_4)
| ~ old(X_4)
| ~ way(skolemFOFtoCNF_W)
| ~ white(X_4) ),
inference(resolve,[$cnf( street(skolemFOFtoCNF_W) )],[refute_0_16,refute_0_15]) ).
cnf(refute_0_18,plain,
way(skolemFOFtoCNF_W),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_19,plain,
( ~ barrel(skolemFOFtoCNF_V,X_4)
| ~ car(X_4)
| ~ chevy(X_4)
| ~ dirty(X_4)
| ~ old(X_4)
| ~ white(X_4) ),
inference(resolve,[$cnf( way(skolemFOFtoCNF_W) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( ~ barrel(skolemFOFtoCNF_V,skolemFOFtoCNF_X)
| ~ car(skolemFOFtoCNF_X)
| ~ chevy(skolemFOFtoCNF_X)
| ~ dirty(skolemFOFtoCNF_X)
| ~ old(skolemFOFtoCNF_X)
| ~ white(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_19:[bind(X_4,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_21,plain,
( ~ car(skolemFOFtoCNF_X)
| ~ chevy(skolemFOFtoCNF_X)
| ~ dirty(skolemFOFtoCNF_X)
| ~ old(skolemFOFtoCNF_X)
| ~ white(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( barrel(skolemFOFtoCNF_V,skolemFOFtoCNF_X) )],[refute_0_0,refute_0_20]) ).
cnf(refute_0_22,plain,
car(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_23,plain,
( ~ chevy(skolemFOFtoCNF_X)
| ~ dirty(skolemFOFtoCNF_X)
| ~ old(skolemFOFtoCNF_X)
| ~ white(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( car(skolemFOFtoCNF_X) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
chevy(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_25,plain,
( ~ dirty(skolemFOFtoCNF_X)
| ~ old(skolemFOFtoCNF_X)
| ~ white(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( chevy(skolemFOFtoCNF_X) )],[refute_0_24,refute_0_23]) ).
cnf(refute_0_26,plain,
dirty(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_27,plain,
( ~ old(skolemFOFtoCNF_X)
| ~ white(skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( dirty(skolemFOFtoCNF_X) )],[refute_0_26,refute_0_25]) ).
cnf(refute_0_28,plain,
old(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_29,plain,
~ white(skolemFOFtoCNF_X),
inference(resolve,[$cnf( old(skolemFOFtoCNF_X) )],[refute_0_28,refute_0_27]) ).
cnf(refute_0_30,plain,
white(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( white(skolemFOFtoCNF_X) )],[refute_0_30,refute_0_29]) ).
fof(negate_1_0,plain,
~ ( ( ( ? [U,V,W,X] :
( hollywood(U)
& city(U)
& event(V)
& street(W)
& way(W)
& lonely(W)
& chevy(X)
& car(X)
& white(X)
& dirty(X)
& old(X)
& barrel(V,X)
& down(V,W)
& in(V,U) )
=> ? [Y,Z,X1,X2] :
( hollywood(Y)
& city(Y)
& event(Z)
& chevy(X1)
& car(X1)
& white(X1)
& dirty(X1)
& old(X1)
& street(X2)
& way(X2)
& lonely(X2)
& barrel(Z,X1)
& down(Z,X2)
& in(Z,Y) ) )
& ? [X3,X4,X5,X6] :
( hollywood(X3)
& city(X3)
& event(X4)
& chevy(X5)
& car(X5)
& white(X5)
& dirty(X5)
& old(X5)
& street(X6)
& way(X6)
& lonely(X6)
& barrel(X4,X5)
& down(X4,X6)
& in(X4,X3) ) )
=> ? [X7,X8,X9,X10] :
( hollywood(X7)
& city(X7)
& event(X8)
& street(X9)
& way(X9)
& lonely(X9)
& chevy(X10)
& car(X10)
& white(X10)
& dirty(X10)
& old(X10)
& barrel(X8,X10)
& down(X8,X9)
& in(X8,X7) ) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ( ? [X1,X2,Y,Z] :
( barrel(Z,X1)
& car(X1)
& chevy(X1)
& city(Y)
& dirty(X1)
& down(Z,X2)
& event(Z)
& hollywood(Y)
& in(Z,Y)
& lonely(X2)
& old(X1)
& street(X2)
& way(X2)
& white(X1) )
| ! [U,V,W,X] :
( ~ barrel(V,X)
| ~ car(X)
| ~ chevy(X)
| ~ city(U)
| ~ dirty(X)
| ~ down(V,W)
| ~ event(V)
| ~ hollywood(U)
| ~ in(V,U)
| ~ lonely(W)
| ~ old(X)
| ~ street(W)
| ~ way(W)
| ~ white(X) ) )
& ? [X3,X4,X5,X6] :
( barrel(X4,X5)
& car(X5)
& chevy(X5)
& city(X3)
& dirty(X5)
& down(X4,X6)
& event(X4)
& hollywood(X3)
& in(X4,X3)
& lonely(X6)
& old(X5)
& street(X6)
& way(X6)
& white(X5) )
& ! [X10,X7,X8,X9] :
( ~ barrel(X8,X10)
| ~ car(X10)
| ~ chevy(X10)
| ~ city(X7)
| ~ dirty(X10)
| ~ down(X8,X9)
| ~ event(X8)
| ~ hollywood(X7)
| ~ in(X8,X7)
| ~ lonely(X9)
| ~ old(X10)
| ~ street(X9)
| ~ way(X9)
| ~ white(X10) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
? [X3,X4,X5,X6] :
( barrel(X4,X5)
& car(X5)
& chevy(X5)
& city(X3)
& dirty(X5)
& down(X4,X6)
& event(X4)
& hollywood(X3)
& in(X4,X3)
& lonely(X6)
& old(X5)
& street(X6)
& way(X6)
& white(X5) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( barrel(skolemFOFtoCNF_X4,skolemFOFtoCNF_X5)
& car(skolemFOFtoCNF_X5)
& chevy(skolemFOFtoCNF_X5)
& city(skolemFOFtoCNF_X3)
& dirty(skolemFOFtoCNF_X5)
& down(skolemFOFtoCNF_X4,skolemFOFtoCNF_X6)
& event(skolemFOFtoCNF_X4)
& hollywood(skolemFOFtoCNF_X3)
& in(skolemFOFtoCNF_X4,skolemFOFtoCNF_X3)
& lonely(skolemFOFtoCNF_X6)
& old(skolemFOFtoCNF_X5)
& street(skolemFOFtoCNF_X6)
& way(skolemFOFtoCNF_X6)
& white(skolemFOFtoCNF_X5) ),
inference(skolemize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
barrel(skolemFOFtoCNF_X4,skolemFOFtoCNF_X5),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
down(skolemFOFtoCNF_X4,skolemFOFtoCNF_X6),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_5,plain,
in(skolemFOFtoCNF_X4,skolemFOFtoCNF_X3),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_6,plain,
! [X10,X7,X8,X9] :
( ~ barrel(X8,X10)
| ~ car(X10)
| ~ chevy(X10)
| ~ city(X7)
| ~ dirty(X10)
| ~ down(X8,X9)
| ~ event(X8)
| ~ hollywood(X7)
| ~ in(X8,X7)
| ~ lonely(X9)
| ~ old(X10)
| ~ street(X9)
| ~ way(X9)
| ~ white(X10) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_7,plain,
! [X10,X7,X8,X9] :
( ~ barrel(X8,X10)
| ~ car(X10)
| ~ chevy(X10)
| ~ city(X7)
| ~ dirty(X10)
| ~ down(X8,X9)
| ~ event(X8)
| ~ hollywood(X7)
| ~ in(X8,X7)
| ~ lonely(X9)
| ~ old(X10)
| ~ street(X9)
| ~ way(X9)
| ~ white(X10) ),
inference(specialize,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
city(skolemFOFtoCNF_X3),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_9,plain,
event(skolemFOFtoCNF_X4),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_10,plain,
hollywood(skolemFOFtoCNF_X3),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_11,plain,
lonely(skolemFOFtoCNF_X6),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_12,plain,
street(skolemFOFtoCNF_X6),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_13,plain,
way(skolemFOFtoCNF_X6),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_14,plain,
car(skolemFOFtoCNF_X5),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_15,plain,
chevy(skolemFOFtoCNF_X5),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_16,plain,
dirty(skolemFOFtoCNF_X5),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_17,plain,
old(skolemFOFtoCNF_X5),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_18,plain,
white(skolemFOFtoCNF_X5),
inference(conjunct,[],[normalize_1_2]) ).
cnf(refute_1_0,plain,
barrel(skolemFOFtoCNF_X4,skolemFOFtoCNF_X5),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
down(skolemFOFtoCNF_X4,skolemFOFtoCNF_X6),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
in(skolemFOFtoCNF_X4,skolemFOFtoCNF_X3),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_3,plain,
( ~ barrel(X8,X10)
| ~ car(X10)
| ~ chevy(X10)
| ~ city(X7)
| ~ dirty(X10)
| ~ down(X8,X9)
| ~ event(X8)
| ~ hollywood(X7)
| ~ in(X8,X7)
| ~ lonely(X9)
| ~ old(X10)
| ~ street(X9)
| ~ way(X9)
| ~ white(X10) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_4,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ city(skolemFOFtoCNF_X3)
| ~ dirty(X_7)
| ~ down(skolemFOFtoCNF_X4,X_10)
| ~ event(skolemFOFtoCNF_X4)
| ~ hollywood(skolemFOFtoCNF_X3)
| ~ in(skolemFOFtoCNF_X4,skolemFOFtoCNF_X3)
| ~ lonely(X_10)
| ~ old(X_7)
| ~ street(X_10)
| ~ way(X_10)
| ~ white(X_7) ),
inference(subst,[],[refute_1_3:[bind(X10,$fot(X_7)),bind(X7,$fot(skolemFOFtoCNF_X3)),bind(X8,$fot(skolemFOFtoCNF_X4)),bind(X9,$fot(X_10))]]) ).
cnf(refute_1_5,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ city(skolemFOFtoCNF_X3)
| ~ dirty(X_7)
| ~ down(skolemFOFtoCNF_X4,X_10)
| ~ event(skolemFOFtoCNF_X4)
| ~ hollywood(skolemFOFtoCNF_X3)
| ~ lonely(X_10)
| ~ old(X_7)
| ~ street(X_10)
| ~ way(X_10)
| ~ white(X_7) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_X4,skolemFOFtoCNF_X3) )],[refute_1_2,refute_1_4]) ).
cnf(refute_1_6,plain,
city(skolemFOFtoCNF_X3),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_7,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ dirty(X_7)
| ~ down(skolemFOFtoCNF_X4,X_10)
| ~ event(skolemFOFtoCNF_X4)
| ~ hollywood(skolemFOFtoCNF_X3)
| ~ lonely(X_10)
| ~ old(X_7)
| ~ street(X_10)
| ~ way(X_10)
| ~ white(X_7) ),
inference(resolve,[$cnf( city(skolemFOFtoCNF_X3) )],[refute_1_6,refute_1_5]) ).
cnf(refute_1_8,plain,
event(skolemFOFtoCNF_X4),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_9,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ dirty(X_7)
| ~ down(skolemFOFtoCNF_X4,X_10)
| ~ hollywood(skolemFOFtoCNF_X3)
| ~ lonely(X_10)
| ~ old(X_7)
| ~ street(X_10)
| ~ way(X_10)
| ~ white(X_7) ),
inference(resolve,[$cnf( event(skolemFOFtoCNF_X4) )],[refute_1_8,refute_1_7]) ).
cnf(refute_1_10,plain,
hollywood(skolemFOFtoCNF_X3),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_11,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ dirty(X_7)
| ~ down(skolemFOFtoCNF_X4,X_10)
| ~ lonely(X_10)
| ~ old(X_7)
| ~ street(X_10)
| ~ way(X_10)
| ~ white(X_7) ),
inference(resolve,[$cnf( hollywood(skolemFOFtoCNF_X3) )],[refute_1_10,refute_1_9]) ).
cnf(refute_1_12,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_12)
| ~ car(X_12)
| ~ chevy(X_12)
| ~ dirty(X_12)
| ~ down(skolemFOFtoCNF_X4,skolemFOFtoCNF_X6)
| ~ lonely(skolemFOFtoCNF_X6)
| ~ old(X_12)
| ~ street(skolemFOFtoCNF_X6)
| ~ way(skolemFOFtoCNF_X6)
| ~ white(X_12) ),
inference(subst,[],[refute_1_11:[bind(X_10,$fot(skolemFOFtoCNF_X6)),bind(X_7,$fot(X_12))]]) ).
cnf(refute_1_13,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_12)
| ~ car(X_12)
| ~ chevy(X_12)
| ~ dirty(X_12)
| ~ lonely(skolemFOFtoCNF_X6)
| ~ old(X_12)
| ~ street(skolemFOFtoCNF_X6)
| ~ way(skolemFOFtoCNF_X6)
| ~ white(X_12) ),
inference(resolve,[$cnf( down(skolemFOFtoCNF_X4,skolemFOFtoCNF_X6) )],[refute_1_1,refute_1_12]) ).
cnf(refute_1_14,plain,
lonely(skolemFOFtoCNF_X6),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_15,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_12)
| ~ car(X_12)
| ~ chevy(X_12)
| ~ dirty(X_12)
| ~ old(X_12)
| ~ street(skolemFOFtoCNF_X6)
| ~ way(skolemFOFtoCNF_X6)
| ~ white(X_12) ),
inference(resolve,[$cnf( lonely(skolemFOFtoCNF_X6) )],[refute_1_14,refute_1_13]) ).
cnf(refute_1_16,plain,
street(skolemFOFtoCNF_X6),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_17,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_12)
| ~ car(X_12)
| ~ chevy(X_12)
| ~ dirty(X_12)
| ~ old(X_12)
| ~ way(skolemFOFtoCNF_X6)
| ~ white(X_12) ),
inference(resolve,[$cnf( street(skolemFOFtoCNF_X6) )],[refute_1_16,refute_1_15]) ).
cnf(refute_1_18,plain,
way(skolemFOFtoCNF_X6),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_19,plain,
( ~ barrel(skolemFOFtoCNF_X4,X_12)
| ~ car(X_12)
| ~ chevy(X_12)
| ~ dirty(X_12)
| ~ old(X_12)
| ~ white(X_12) ),
inference(resolve,[$cnf( way(skolemFOFtoCNF_X6) )],[refute_1_18,refute_1_17]) ).
cnf(refute_1_20,plain,
( ~ barrel(skolemFOFtoCNF_X4,skolemFOFtoCNF_X5)
| ~ car(skolemFOFtoCNF_X5)
| ~ chevy(skolemFOFtoCNF_X5)
| ~ dirty(skolemFOFtoCNF_X5)
| ~ old(skolemFOFtoCNF_X5)
| ~ white(skolemFOFtoCNF_X5) ),
inference(subst,[],[refute_1_19:[bind(X_12,$fot(skolemFOFtoCNF_X5))]]) ).
cnf(refute_1_21,plain,
( ~ car(skolemFOFtoCNF_X5)
| ~ chevy(skolemFOFtoCNF_X5)
| ~ dirty(skolemFOFtoCNF_X5)
| ~ old(skolemFOFtoCNF_X5)
| ~ white(skolemFOFtoCNF_X5) ),
inference(resolve,[$cnf( barrel(skolemFOFtoCNF_X4,skolemFOFtoCNF_X5) )],[refute_1_0,refute_1_20]) ).
cnf(refute_1_22,plain,
car(skolemFOFtoCNF_X5),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_23,plain,
( ~ chevy(skolemFOFtoCNF_X5)
| ~ dirty(skolemFOFtoCNF_X5)
| ~ old(skolemFOFtoCNF_X5)
| ~ white(skolemFOFtoCNF_X5) ),
inference(resolve,[$cnf( car(skolemFOFtoCNF_X5) )],[refute_1_22,refute_1_21]) ).
cnf(refute_1_24,plain,
chevy(skolemFOFtoCNF_X5),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_25,plain,
( ~ dirty(skolemFOFtoCNF_X5)
| ~ old(skolemFOFtoCNF_X5)
| ~ white(skolemFOFtoCNF_X5) ),
inference(resolve,[$cnf( chevy(skolemFOFtoCNF_X5) )],[refute_1_24,refute_1_23]) ).
cnf(refute_1_26,plain,
dirty(skolemFOFtoCNF_X5),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_27,plain,
( ~ old(skolemFOFtoCNF_X5)
| ~ white(skolemFOFtoCNF_X5) ),
inference(resolve,[$cnf( dirty(skolemFOFtoCNF_X5) )],[refute_1_26,refute_1_25]) ).
cnf(refute_1_28,plain,
old(skolemFOFtoCNF_X5),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_29,plain,
~ white(skolemFOFtoCNF_X5),
inference(resolve,[$cnf( old(skolemFOFtoCNF_X5) )],[refute_1_28,refute_1_27]) ).
cnf(refute_1_30,plain,
white(skolemFOFtoCNF_X5),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_31,plain,
$false,
inference(resolve,[$cnf( white(skolemFOFtoCNF_X5) )],[refute_1_30,refute_1_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NLP001+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 00:10:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36
%------------------------------------------------------------------------------