%------------------------------------------------------------------------------
% 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 : n024.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 03:13:33 EDT 2022
% Result : Unsatisfiable 0.10s 0.26s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 30
% Syntax : Number of clauses : 75 ( 21 unt; 10 nHn; 75 RR)
% Number of literals : 366 ( 0 equ; 299 neg)
% Maximal clause size : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
hollywood(skc15) ).
cnf(clause2,negated_conjecture,
event(skc14) ).
cnf(clause3,negated_conjecture,
street(skc13) ).
cnf(clause4,negated_conjecture,
old(skc12) ).
cnf(clause5,negated_conjecture,
hollywood(skc11) ).
cnf(clause6,negated_conjecture,
event(skc10) ).
cnf(clause7,negated_conjecture,
chevy(skc9) ).
cnf(clause8,negated_conjecture,
lonely(skc8) ).
cnf(clause9,negated_conjecture,
( ssSkC0
| chevy(skc12) ) ).
cnf(clause10,negated_conjecture,
( ssSkC0
| car(skc12) ) ).
cnf(clause11,negated_conjecture,
( ssSkC0
| white(skc12) ) ).
cnf(clause12,negated_conjecture,
( ssSkC0
| dirty(skc12) ) ).
cnf(clause13,negated_conjecture,
( ssSkC0
| lonely(skc13) ) ).
cnf(clause14,negated_conjecture,
( ssSkC0
| way(skc13) ) ).
cnf(clause15,negated_conjecture,
( ssSkC0
| city(skc15) ) ).
cnf(clause16,negated_conjecture,
( ~ ssSkC0
| street(skc8) ) ).
cnf(clause17,negated_conjecture,
( ~ ssSkC0
| way(skc8) ) ).
cnf(clause18,negated_conjecture,
( ~ ssSkC0
| old(skc9) ) ).
cnf(clause19,negated_conjecture,
( ~ ssSkC0
| dirty(skc9) ) ).
cnf(clause20,negated_conjecture,
( ~ ssSkC0
| white(skc9) ) ).
cnf(clause21,negated_conjecture,
( ~ ssSkC0
| car(skc9) ) ).
cnf(clause22,negated_conjecture,
( ~ ssSkC0
| city(skc11) ) ).
cnf(clause23,negated_conjecture,
( ssSkC0
| barrel(skc14,skc12) ) ).
cnf(clause24,negated_conjecture,
( ssSkC0
| down(skc14,skc13) ) ).
cnf(clause25,negated_conjecture,
( ssSkC0
| in(skc14,skc15) ) ).
cnf(clause26,negated_conjecture,
( ~ ssSkC0
| barrel(skc10,skc9) ) ).
cnf(clause27,negated_conjecture,
( ~ ssSkC0
| down(skc10,skc8) ) ).
cnf(clause28,negated_conjecture,
( ~ ssSkC0
| in(skc10,skc11) ) ).
cnf(clause29,negated_conjecture,
( ~ street(U)
| ~ way(U)
| ~ lonely(U)
| ~ old(V)
| ~ dirty(V)
| ~ white(V)
| ~ car(V)
| ~ chevy(V)
| ~ event(W)
| ~ barrel(W,V)
| ~ down(W,U)
| ~ in(W,X)
| ~ city(X)
| ~ hollywood(X)
| ssSkC0 ) ).
cnf(clause30,negated_conjecture,
( ~ chevy(U)
| ~ car(U)
| ~ white(U)
| ~ dirty(U)
| ~ old(U)
| ~ lonely(V)
| ~ way(V)
| ~ street(V)
| ~ event(W)
| ~ barrel(W,U)
| ~ down(W,V)
| ~ in(W,X)
| ~ city(X)
| ~ hollywood(X)
| ~ ssSkC0 ) ).
cnf(refute_0_0,plain,
( ~ barrel(skc14,X_1)
| ~ car(X_1)
| ~ chevy(X_1)
| ~ city(skc15)
| ~ dirty(X_1)
| ~ down(skc14,X_0)
| ~ event(skc14)
| ~ hollywood(skc15)
| ~ in(skc14,skc15)
| ~ lonely(X_0)
| ~ old(X_1)
| ~ street(X_0)
| ~ way(X_0)
| ~ white(X_1)
| ssSkC0 ),
inference(subst,[],[clause29:[bind(U,$fot(X_0)),bind(V,$fot(X_1)),bind(W,$fot(skc14)),bind(X,$fot(skc15))]]) ).
cnf(refute_0_1,plain,
( ~ barrel(skc14,X_1)
| ~ car(X_1)
| ~ chevy(X_1)
| ~ city(skc15)
| ~ dirty(X_1)
| ~ down(skc14,X_0)
| ~ event(skc14)
| ~ hollywood(skc15)
| ~ lonely(X_0)
| ~ old(X_1)
| ~ street(X_0)
| ~ way(X_0)
| ~ white(X_1)
| ssSkC0 ),
inference(resolve,[$cnf( in(skc14,skc15) )],[clause25,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ barrel(skc14,X_1)
| ~ car(X_1)
| ~ chevy(X_1)
| ~ city(skc15)
| ~ dirty(X_1)
| ~ down(skc14,X_0)
| ~ hollywood(skc15)
| ~ lonely(X_0)
| ~ old(X_1)
| ~ street(X_0)
| ~ way(X_0)
| ~ white(X_1)
| ssSkC0 ),
inference(resolve,[$cnf( event(skc14) )],[clause2,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ barrel(skc14,X_1)
| ~ car(X_1)
| ~ chevy(X_1)
| ~ city(skc15)
| ~ dirty(X_1)
| ~ down(skc14,X_0)
| ~ lonely(X_0)
| ~ old(X_1)
| ~ street(X_0)
| ~ way(X_0)
| ~ white(X_1)
| ssSkC0 ),
inference(resolve,[$cnf( hollywood(skc15) )],[clause1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ barrel(skc14,X_5)
| ~ car(X_5)
| ~ chevy(X_5)
| ~ city(skc15)
| ~ dirty(X_5)
| ~ down(skc14,skc13)
| ~ lonely(skc13)
| ~ old(X_5)
| ~ street(skc13)
| ~ way(skc13)
| ~ white(X_5)
| ssSkC0 ),
inference(subst,[],[refute_0_3:[bind(X_0,$fot(skc13)),bind(X_1,$fot(X_5))]]) ).
cnf(refute_0_5,plain,
( ~ barrel(skc14,X_5)
| ~ car(X_5)
| ~ chevy(X_5)
| ~ city(skc15)
| ~ dirty(X_5)
| ~ lonely(skc13)
| ~ old(X_5)
| ~ street(skc13)
| ~ way(skc13)
| ~ white(X_5)
| ssSkC0 ),
inference(resolve,[$cnf( down(skc14,skc13) )],[clause24,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ barrel(skc14,X_5)
| ~ car(X_5)
| ~ chevy(X_5)
| ~ city(skc15)
| ~ dirty(X_5)
| ~ lonely(skc13)
| ~ old(X_5)
| ~ way(skc13)
| ~ white(X_5)
| ssSkC0 ),
inference(resolve,[$cnf( street(skc13) )],[clause3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ barrel(skc14,skc12)
| ~ car(skc12)
| ~ chevy(skc12)
| ~ city(skc15)
| ~ dirty(skc12)
| ~ lonely(skc13)
| ~ old(skc12)
| ~ way(skc13)
| ~ white(skc12)
| ssSkC0 ),
inference(subst,[],[refute_0_6:[bind(X_5,$fot(skc12))]]) ).
cnf(refute_0_8,plain,
( ~ car(skc12)
| ~ chevy(skc12)
| ~ city(skc15)
| ~ dirty(skc12)
| ~ lonely(skc13)
| ~ old(skc12)
| ~ way(skc13)
| ~ white(skc12)
| ssSkC0 ),
inference(resolve,[$cnf( barrel(skc14,skc12) )],[clause23,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ car(skc12)
| ~ chevy(skc12)
| ~ city(skc15)
| ~ dirty(skc12)
| ~ lonely(skc13)
| ~ way(skc13)
| ~ white(skc12)
| ssSkC0 ),
inference(resolve,[$cnf( old(skc12) )],[clause4,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ car(skc12)
| ~ chevy(skc12)
| ~ city(skc15)
| ~ dirty(skc12)
| ~ lonely(skc13)
| ~ way(skc13)
| ssSkC0 ),
inference(resolve,[$cnf( white(skc12) )],[clause11,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ car(skc12)
| ~ chevy(skc12)
| ~ city(skc15)
| ~ dirty(skc12)
| ~ lonely(skc13)
| ssSkC0 ),
inference(resolve,[$cnf( way(skc13) )],[clause14,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ car(skc12)
| ~ chevy(skc12)
| ~ city(skc15)
| ~ dirty(skc12)
| ssSkC0 ),
inference(resolve,[$cnf( lonely(skc13) )],[clause13,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ car(skc12)
| ~ chevy(skc12)
| ~ city(skc15)
| ssSkC0 ),
inference(resolve,[$cnf( dirty(skc12) )],[clause12,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ car(skc12)
| ~ chevy(skc12)
| ssSkC0 ),
inference(resolve,[$cnf( city(skc15) )],[clause15,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ car(skc12)
| ssSkC0 ),
inference(resolve,[$cnf( chevy(skc12) )],[clause9,refute_0_14]) ).
cnf(refute_0_16,plain,
ssSkC0,
inference(resolve,[$cnf( car(skc12) )],[clause10,refute_0_15]) ).
cnf(refute_0_17,plain,
barrel(skc10,skc9),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause26]) ).
cnf(refute_0_18,plain,
down(skc10,skc8),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause27]) ).
cnf(refute_0_19,plain,
in(skc10,skc11),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause28]) ).
cnf(refute_0_20,plain,
( ~ barrel(W,U)
| ~ car(U)
| ~ chevy(U)
| ~ city(X)
| ~ dirty(U)
| ~ down(W,V)
| ~ event(W)
| ~ hollywood(X)
| ~ in(W,X)
| ~ lonely(V)
| ~ old(U)
| ~ street(V)
| ~ way(V)
| ~ white(U) ),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause30]) ).
cnf(refute_0_21,plain,
( ~ barrel(skc10,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ city(skc11)
| ~ dirty(X_7)
| ~ down(skc10,X_8)
| ~ event(skc10)
| ~ hollywood(skc11)
| ~ in(skc10,skc11)
| ~ lonely(X_8)
| ~ old(X_7)
| ~ street(X_8)
| ~ way(X_8)
| ~ white(X_7) ),
inference(subst,[],[refute_0_20:[bind(U,$fot(X_7)),bind(V,$fot(X_8)),bind(W,$fot(skc10)),bind(X,$fot(skc11))]]) ).
cnf(refute_0_22,plain,
( ~ barrel(skc10,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ city(skc11)
| ~ dirty(X_7)
| ~ down(skc10,X_8)
| ~ event(skc10)
| ~ hollywood(skc11)
| ~ lonely(X_8)
| ~ old(X_7)
| ~ street(X_8)
| ~ way(X_8)
| ~ white(X_7) ),
inference(resolve,[$cnf( in(skc10,skc11) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
city(skc11),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause22]) ).
cnf(refute_0_24,plain,
( ~ barrel(skc10,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ dirty(X_7)
| ~ down(skc10,X_8)
| ~ event(skc10)
| ~ hollywood(skc11)
| ~ lonely(X_8)
| ~ old(X_7)
| ~ street(X_8)
| ~ way(X_8)
| ~ white(X_7) ),
inference(resolve,[$cnf( city(skc11) )],[refute_0_23,refute_0_22]) ).
cnf(refute_0_25,plain,
( ~ barrel(skc10,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ dirty(X_7)
| ~ down(skc10,X_8)
| ~ hollywood(skc11)
| ~ lonely(X_8)
| ~ old(X_7)
| ~ street(X_8)
| ~ way(X_8)
| ~ white(X_7) ),
inference(resolve,[$cnf( event(skc10) )],[clause6,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ barrel(skc10,X_7)
| ~ car(X_7)
| ~ chevy(X_7)
| ~ dirty(X_7)
| ~ down(skc10,X_8)
| ~ lonely(X_8)
| ~ old(X_7)
| ~ street(X_8)
| ~ way(X_8)
| ~ white(X_7) ),
inference(resolve,[$cnf( hollywood(skc11) )],[clause5,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ barrel(skc10,X_11)
| ~ car(X_11)
| ~ chevy(X_11)
| ~ dirty(X_11)
| ~ down(skc10,skc8)
| ~ lonely(skc8)
| ~ old(X_11)
| ~ street(skc8)
| ~ way(skc8)
| ~ white(X_11) ),
inference(subst,[],[refute_0_26:[bind(X_7,$fot(X_11)),bind(X_8,$fot(skc8))]]) ).
cnf(refute_0_28,plain,
( ~ barrel(skc10,X_11)
| ~ car(X_11)
| ~ chevy(X_11)
| ~ dirty(X_11)
| ~ lonely(skc8)
| ~ old(X_11)
| ~ street(skc8)
| ~ way(skc8)
| ~ white(X_11) ),
inference(resolve,[$cnf( down(skc10,skc8) )],[refute_0_18,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ barrel(skc10,X_11)
| ~ car(X_11)
| ~ chevy(X_11)
| ~ dirty(X_11)
| ~ old(X_11)
| ~ street(skc8)
| ~ way(skc8)
| ~ white(X_11) ),
inference(resolve,[$cnf( lonely(skc8) )],[clause8,refute_0_28]) ).
cnf(refute_0_30,plain,
street(skc8),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause16]) ).
cnf(refute_0_31,plain,
( ~ barrel(skc10,X_11)
| ~ car(X_11)
| ~ chevy(X_11)
| ~ dirty(X_11)
| ~ old(X_11)
| ~ way(skc8)
| ~ white(X_11) ),
inference(resolve,[$cnf( street(skc8) )],[refute_0_30,refute_0_29]) ).
cnf(refute_0_32,plain,
way(skc8),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause17]) ).
cnf(refute_0_33,plain,
( ~ barrel(skc10,X_11)
| ~ car(X_11)
| ~ chevy(X_11)
| ~ dirty(X_11)
| ~ old(X_11)
| ~ white(X_11) ),
inference(resolve,[$cnf( way(skc8) )],[refute_0_32,refute_0_31]) ).
cnf(refute_0_34,plain,
( ~ barrel(skc10,skc9)
| ~ car(skc9)
| ~ chevy(skc9)
| ~ dirty(skc9)
| ~ old(skc9)
| ~ white(skc9) ),
inference(subst,[],[refute_0_33:[bind(X_11,$fot(skc9))]]) ).
cnf(refute_0_35,plain,
( ~ car(skc9)
| ~ chevy(skc9)
| ~ dirty(skc9)
| ~ old(skc9)
| ~ white(skc9) ),
inference(resolve,[$cnf( barrel(skc10,skc9) )],[refute_0_17,refute_0_34]) ).
cnf(refute_0_36,plain,
car(skc9),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause21]) ).
cnf(refute_0_37,plain,
( ~ chevy(skc9)
| ~ dirty(skc9)
| ~ old(skc9)
| ~ white(skc9) ),
inference(resolve,[$cnf( car(skc9) )],[refute_0_36,refute_0_35]) ).
cnf(refute_0_38,plain,
( ~ dirty(skc9)
| ~ old(skc9)
| ~ white(skc9) ),
inference(resolve,[$cnf( chevy(skc9) )],[clause7,refute_0_37]) ).
cnf(refute_0_39,plain,
dirty(skc9),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause19]) ).
cnf(refute_0_40,plain,
( ~ old(skc9)
| ~ white(skc9) ),
inference(resolve,[$cnf( dirty(skc9) )],[refute_0_39,refute_0_38]) ).
cnf(refute_0_41,plain,
old(skc9),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause18]) ).
cnf(refute_0_42,plain,
~ white(skc9),
inference(resolve,[$cnf( old(skc9) )],[refute_0_41,refute_0_40]) ).
cnf(refute_0_43,plain,
white(skc9),
inference(resolve,[$cnf( ssSkC0 )],[refute_0_16,clause20]) ).
cnf(refute_0_44,plain,
$false,
inference(resolve,[$cnf( white(skc9) )],[refute_0_43,refute_0_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : NLP001-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.07 % Command : metis --show proof --show saturation %s
% 0.07/0.25 % Computer : n024.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 600
% 0.07/0.25 % DateTime : Fri Jul 1 12:38:15 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.26 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.26
% 0.10/0.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.10/0.27
%------------------------------------------------------------------------------