%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NLP001+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 : Thu Sep 24 01:30:59 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 142 ( 1 unt; 38 def)
% Number of atoms : 911 ( 0 equ)
% Maximal formula atoms : 58 ( 6 avg)
% Number of connectives : 1223 ( 454 ~; 453 |; 274 &)
% ( 38 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 53 ( 52 usr; 39 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 156 ( 88 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X3,X4,X5,X6] :
( in(X4,X3)
& down(X4,X6)
& barrel(X4,X5)
& lonely(X6)
& way(X6)
& street(X6)
& old(X5)
& dirty(X5)
& white(X5)
& car(X5)
& chevy(X5)
& event(X4)
& city(X3)
& hollywood(X3) )
=> ? [X7,X8,X9,X10] :
( in(X8,X7)
& down(X8,X9)
& barrel(X8,X10)
& old(X10)
& dirty(X10)
& white(X10)
& car(X10)
& chevy(X10)
& lonely(X9)
& way(X9)
& street(X9)
& event(X8)
& city(X7)
& hollywood(X7) ) )
& ( ? [U,V,W,X] :
( in(V,U)
& down(V,W)
& barrel(V,X)
& old(X)
& dirty(X)
& white(X)
& car(X)
& chevy(X)
& lonely(W)
& way(W)
& street(W)
& event(V)
& city(U)
& hollywood(U) )
=> ? [Y,Z,X1,X2] :
( in(Z,Y)
& down(Z,X2)
& barrel(Z,X1)
& lonely(X2)
& way(X2)
& street(X2)
& old(X1)
& dirty(X1)
& white(X1)
& car(X1)
& chevy(X1)
& event(Z)
& city(Y)
& hollywood(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ? [X3,X4,X5,X6] :
( in(X4,X3)
& down(X4,X6)
& barrel(X4,X5)
& lonely(X6)
& way(X6)
& street(X6)
& old(X5)
& dirty(X5)
& white(X5)
& car(X5)
& chevy(X5)
& event(X4)
& city(X3)
& hollywood(X3) )
=> ? [X7,X8,X9,X10] :
( in(X8,X7)
& down(X8,X9)
& barrel(X8,X10)
& old(X10)
& dirty(X10)
& white(X10)
& car(X10)
& chevy(X10)
& lonely(X9)
& way(X9)
& street(X9)
& event(X8)
& city(X7)
& hollywood(X7) ) )
& ( ? [U,V,W,X] :
( in(V,U)
& down(V,W)
& barrel(V,X)
& old(X)
& dirty(X)
& white(X)
& car(X)
& chevy(X)
& lonely(W)
& way(W)
& street(W)
& event(V)
& city(U)
& hollywood(U) )
=> ? [Y,Z,X1,X2] :
( in(Z,Y)
& down(Z,X2)
& barrel(Z,X1)
& lonely(X2)
& way(X2)
& street(X2)
& old(X1)
& dirty(X1)
& white(X1)
& car(X1)
& chevy(X1)
& event(Z)
& city(Y)
& hollywood(Y) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ! [X7,X8,X9,X10] :
( ~ in(X8,X7)
| ~ down(X8,X9)
| ~ barrel(X8,X10)
| ~ old(X10)
| ~ dirty(X10)
| ~ white(X10)
| ~ car(X10)
| ~ chevy(X10)
| ~ lonely(X9)
| ~ way(X9)
| ~ street(X9)
| ~ event(X8)
| ~ city(X7)
| ~ hollywood(X7) )
& ? [X3,X4,X5,X6] :
( in(X4,X3)
& down(X4,X6)
& barrel(X4,X5)
& lonely(X6)
& way(X6)
& street(X6)
& old(X5)
& dirty(X5)
& white(X5)
& car(X5)
& chevy(X5)
& event(X4)
& city(X3)
& hollywood(X3) ) )
| ( ! [Y,Z,X1,X2] :
( ~ in(Z,Y)
| ~ down(Z,X2)
| ~ barrel(Z,X1)
| ~ lonely(X2)
| ~ way(X2)
| ~ street(X2)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ event(Z)
| ~ city(Y)
| ~ hollywood(Y) )
& ? [U,V,W,X] :
( in(V,U)
& down(V,W)
& barrel(V,X)
& old(X)
& dirty(X)
& white(X)
& car(X)
& chevy(X)
& lonely(W)
& way(W)
& street(W)
& event(V)
& city(U)
& hollywood(U) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
( sP0_prd
<=> ( ! [Y,Z,X1,X2] :
( ~ in(Z,Y)
| ~ down(Z,X2)
| ~ barrel(Z,X1)
| ~ lonely(X2)
| ~ way(X2)
| ~ street(X2)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ event(Z)
| ~ city(Y)
| ~ hollywood(Y) )
& ? [U,V,W,X] :
( in(V,U)
& down(V,W)
& barrel(V,X)
& old(X)
& dirty(X)
& white(X)
& car(X)
& chevy(X)
& lonely(W)
& way(W)
& street(W)
& event(V)
& city(U)
& hollywood(U) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,plain,
( ( ! [X7,X8,X9,X10] :
( ~ in(X8,X7)
| ~ down(X8,X9)
| ~ barrel(X8,X10)
| ~ old(X10)
| ~ dirty(X10)
| ~ white(X10)
| ~ car(X10)
| ~ chevy(X10)
| ~ lonely(X9)
| ~ way(X9)
| ~ street(X9)
| ~ event(X8)
| ~ city(X7)
| ~ hollywood(X7) )
& ? [X3,X4,X5,X6] :
( in(X4,X3)
& down(X4,X6)
& barrel(X4,X5)
& lonely(X6)
& way(X6)
& street(X6)
& old(X5)
& dirty(X5)
& white(X5)
& car(X5)
& chevy(X5)
& event(X4)
& city(X3)
& hollywood(X3) ) )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f3,f4]) ).
fof(f6,plain,
( ( ! [X7,X8] :
( ~ in(X8,X7)
| ! [X9] :
( ~ down(X8,X9)
| ! [X10] :
( ~ barrel(X8,X10)
| ~ old(X10)
| ~ dirty(X10)
| ~ white(X10)
| ~ car(X10)
| ~ chevy(X10)
| ~ lonely(X9)
| ~ way(X9)
| ~ street(X9)
| ~ event(X8)
| ~ city(X7)
| ~ hollywood(X7) ) ) )
& ? [X3,X4] :
( in(X4,X3)
& ? [X6] :
( down(X4,X6)
& ? [X5] :
( barrel(X4,X5)
& lonely(X6)
& way(X6)
& street(X6)
& old(X5)
& dirty(X5)
& white(X5)
& car(X5)
& chevy(X5)
& event(X4)
& city(X3)
& hollywood(X3) ) ) ) )
| sP0_prd ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f7,plain,
( ( ! [X7,X8] :
( ~ in(X8,X7)
| ! [X9] :
( ~ down(X8,X9)
| ! [X10] :
( ~ barrel(X8,X10)
| ~ old(X10)
| ~ dirty(X10)
| ~ white(X10)
| ~ car(X10)
| ~ chevy(X10)
| ~ lonely(X9)
| ~ way(X9)
| ~ street(X9)
| ~ event(X8)
| ~ city(X7)
| ~ hollywood(X7) ) ) )
& in(sK1_skl,sK0_skl)
& down(sK1_skl,sK2_skl)
& barrel(sK1_skl,sK3_skl)
& lonely(sK2_skl)
& way(sK2_skl)
& street(sK2_skl)
& old(sK3_skl)
& dirty(sK3_skl)
& white(sK3_skl)
& car(sK3_skl)
& chevy(sK3_skl)
& event(sK1_skl)
& city(sK0_skl)
& hollywood(sK0_skl) )
| sP0_prd ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X3,sK0_skl),skolemize(X4,sK1_skl),skolemize(X6,sK2_skl),skolemize(X5,sK3_skl)],[f6]) ).
fof(f8,plain,
( hollywood(sK0_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
( city(sK0_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f10,plain,
( event(sK1_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f11,plain,
( chevy(sK3_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f12,plain,
( car(sK3_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f13,plain,
( white(sK3_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f14,plain,
( dirty(sK3_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f15,plain,
( old(sK3_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
( street(sK2_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
( way(sK2_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
( lonely(sK2_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
( barrel(sK1_skl,sK3_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
( down(sK1_skl,sK2_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f21,plain,
( in(sK1_skl,sK0_skl)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( ~ in(X1,X0)
| ~ down(X1,X2)
| ~ barrel(X1,X3)
| ~ old(X3)
| ~ dirty(X3)
| ~ white(X3)
| ~ car(X3)
| ~ chevy(X3)
| ~ lonely(X2)
| ~ way(X2)
| ~ street(X2)
| ~ event(X1)
| ~ city(X0)
| ~ hollywood(X0)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f23,plain,
( ( ? [Y,Z,X1,X2] :
( in(Z,Y)
& down(Z,X2)
& barrel(Z,X1)
& lonely(X2)
& way(X2)
& street(X2)
& old(X1)
& dirty(X1)
& white(X1)
& car(X1)
& chevy(X1)
& event(Z)
& city(Y)
& hollywood(Y) )
| ! [U,V,W,X] :
( ~ in(V,U)
| ~ down(V,W)
| ~ barrel(V,X)
| ~ old(X)
| ~ dirty(X)
| ~ white(X)
| ~ car(X)
| ~ chevy(X)
| ~ lonely(W)
| ~ way(W)
| ~ street(W)
| ~ event(V)
| ~ city(U)
| ~ hollywood(U) )
| sP0_prd )
& ( ( ! [Y,Z,X1,X2] :
( ~ in(Z,Y)
| ~ down(Z,X2)
| ~ barrel(Z,X1)
| ~ lonely(X2)
| ~ way(X2)
| ~ street(X2)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ event(Z)
| ~ city(Y)
| ~ hollywood(Y) )
& ? [U,V,W,X] :
( in(V,U)
& down(V,W)
& barrel(V,X)
& old(X)
& dirty(X)
& white(X)
& car(X)
& chevy(X)
& lonely(W)
& way(W)
& street(W)
& event(V)
& city(U)
& hollywood(U) ) )
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
( ( ? [Y,Z] :
( in(Z,Y)
& ? [X2] :
( down(Z,X2)
& ? [X1] :
( barrel(Z,X1)
& lonely(X2)
& way(X2)
& street(X2)
& old(X1)
& dirty(X1)
& white(X1)
& car(X1)
& chevy(X1)
& event(Z)
& city(Y)
& hollywood(Y) ) ) )
| ! [U,V] :
( ~ in(V,U)
| ! [W] :
( ~ down(V,W)
| ! [X] :
( ~ barrel(V,X)
| ~ old(X)
| ~ dirty(X)
| ~ white(X)
| ~ car(X)
| ~ chevy(X)
| ~ lonely(W)
| ~ way(W)
| ~ street(W)
| ~ event(V)
| ~ city(U)
| ~ hollywood(U) ) ) )
| sP0_prd )
& ( ( ! [Y,Z] :
( ~ in(Z,Y)
| ! [X2] :
( ~ down(Z,X2)
| ! [X1] :
( ~ barrel(Z,X1)
| ~ lonely(X2)
| ~ way(X2)
| ~ street(X2)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ event(Z)
| ~ city(Y)
| ~ hollywood(Y) ) ) )
& ? [U,V] :
( in(V,U)
& ? [W] :
( down(V,W)
& ? [X] :
( barrel(V,X)
& old(X)
& dirty(X)
& white(X)
& car(X)
& chevy(X)
& lonely(W)
& way(W)
& street(W)
& event(V)
& city(U)
& hollywood(U) ) ) ) )
| ~ sP0_prd ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f25,plain,
( ( ( in(sK9_skl,sK8_skl)
& down(sK9_skl,sK10_skl)
& barrel(sK9_skl,sK11_skl)
& lonely(sK10_skl)
& way(sK10_skl)
& street(sK10_skl)
& old(sK11_skl)
& dirty(sK11_skl)
& white(sK11_skl)
& car(sK11_skl)
& chevy(sK11_skl)
& event(sK9_skl)
& city(sK8_skl)
& hollywood(sK8_skl) )
| ! [U,V] :
( ~ in(V,U)
| ! [W] :
( ~ down(V,W)
| ! [X] :
( ~ barrel(V,X)
| ~ old(X)
| ~ dirty(X)
| ~ white(X)
| ~ car(X)
| ~ chevy(X)
| ~ lonely(W)
| ~ way(W)
| ~ street(W)
| ~ event(V)
| ~ city(U)
| ~ hollywood(U) ) ) )
| sP0_prd )
& ( ( ! [Y,Z] :
( ~ in(Z,Y)
| ! [X2] :
( ~ down(Z,X2)
| ! [X1] :
( ~ barrel(Z,X1)
| ~ lonely(X2)
| ~ way(X2)
| ~ street(X2)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ event(Z)
| ~ city(Y)
| ~ hollywood(Y) ) ) )
& in(sK5_skl,sK4_skl)
& down(sK5_skl,sK6_skl)
& barrel(sK5_skl,sK7_skl)
& old(sK7_skl)
& dirty(sK7_skl)
& white(sK7_skl)
& car(sK7_skl)
& chevy(sK7_skl)
& lonely(sK6_skl)
& way(sK6_skl)
& street(sK6_skl)
& event(sK5_skl)
& city(sK4_skl)
& hollywood(sK4_skl) )
| ~ sP0_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(U,sK4_skl),skolemize(V,sK5_skl),skolemize(W,sK6_skl),skolemize(X,sK7_skl),skolemize(Y,sK8_skl),skolemize(Z,sK9_skl),skolemize(X2,sK10_skl),skolemize(X1,sK11_skl)],[f24]) ).
fof(f26,plain,
( hollywood(sK4_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
( city(sK4_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f28,plain,
( event(sK5_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f29,plain,
( street(sK6_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f30,plain,
( way(sK6_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f31,plain,
( lonely(sK6_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f32,plain,
( chevy(sK7_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f33,plain,
( car(sK7_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f34,plain,
( white(sK7_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f35,plain,
( dirty(sK7_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f36,plain,
( old(sK7_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f37,plain,
( barrel(sK5_skl,sK7_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f38,plain,
( down(sK5_skl,sK6_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f39,plain,
( in(sK5_skl,sK4_skl)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ in(X1,X0)
| ~ down(X1,X3)
| ~ barrel(X1,X2)
| ~ lonely(X3)
| ~ way(X3)
| ~ street(X3)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ event(X1)
| ~ city(X0)
| ~ hollywood(X0)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f55,definition,
( sQ0_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f58,definition,
( sQ1_spl
<=> hollywood(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f55,f58]) ).
fof(f62,definition,
( sQ2_spl
<=> city(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ2_spl
| city(sK0_skl) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f9,f55,f62]) ).
fof(f66,definition,
( sQ3_spl
<=> event(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( ~ sQ3_spl
| event(sK1_skl) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f55,f66]) ).
fof(f70,definition,
( sQ4_spl
<=> chevy(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f55,f70]) ).
fof(f74,definition,
( sQ5_spl
<=> car(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f55,f74]) ).
fof(f78,definition,
( sQ6_spl
<=> white(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f55,f78]) ).
fof(f82,definition,
( sQ7_spl
<=> dirty(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f55,f82]) ).
fof(f86,definition,
( sQ8_spl
<=> old(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f55,f86]) ).
fof(f90,definition,
( sQ9_spl
<=> street(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f16,f55,f90]) ).
fof(f94,definition,
( sQ10_spl
<=> way(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( sQ10_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f17,f55,f94]) ).
fof(f98,definition,
( sQ11_spl
<=> lonely(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f18,f55,f98]) ).
fof(f102,definition,
( sQ12_spl
<=> barrel(sK1_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ12_spl
| barrel(sK1_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( sQ12_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f19,f55,f102]) ).
fof(f106,definition,
( sQ13_spl
<=> down(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ13_spl
| down(sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( sQ13_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f55,f106]) ).
fof(f110,definition,
( sQ14_spl
<=> in(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ14_spl
| in(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( sQ14_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f21,f55,f110]) ).
fof(f114,definition,
! [X0,X1,X2,X3] :
( sQ15_spl
<=> ( ~ 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,[sQ15_spl])],[split_symbol_definition]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( ~ sQ15_spl
| ~ 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(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( sQ15_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f22,f55,f114]) ).
fof(f118,definition,
( sQ16_spl
<=> hollywood(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( sQ16_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f55,f118]) ).
fof(f122,definition,
( sQ17_spl
<=> city(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( ~ sQ17_spl
| city(sK4_skl) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( sQ17_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f55,f122]) ).
fof(f126,definition,
( sQ18_spl
<=> event(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ18_spl
| event(sK5_skl) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( sQ18_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f28,f55,f126]) ).
fof(f130,definition,
( sQ19_spl
<=> street(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ19_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f29,f55,f130]) ).
fof(f134,definition,
( sQ20_spl
<=> way(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ20_spl
| way(sK6_skl) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,plain,
( sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f55,f134]) ).
fof(f138,definition,
( sQ21_spl
<=> lonely(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f31,f55,f138]) ).
fof(f142,definition,
( sQ22_spl
<=> chevy(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( sQ22_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f55,f142]) ).
fof(f146,definition,
( sQ23_spl
<=> car(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( sQ23_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f33,f55,f146]) ).
fof(f150,definition,
( sQ24_spl
<=> white(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( sQ24_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f55,f150]) ).
fof(f154,definition,
( sQ25_spl
<=> dirty(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( sQ25_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f35,f55,f154]) ).
fof(f158,definition,
( sQ26_spl
<=> old(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( sQ26_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f55,f158]) ).
fof(f162,definition,
( sQ27_spl
<=> barrel(sK5_skl,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ27_spl
| barrel(sK5_skl,sK7_skl) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( sQ27_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f55,f162]) ).
fof(f166,definition,
( sQ28_spl
<=> down(sK5_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f38,f55,f166]) ).
fof(f170,definition,
( sQ29_spl
<=> in(sK5_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( sQ29_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f39,f55,f170]) ).
fof(f174,plain,
( sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f40,f55,f114]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ sQ18_spl
| ~ in(sK5_skl,X0)
| ~ down(sK5_skl,X1)
| ~ barrel(sK5_skl,X2)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ city(X0)
| ~ hollywood(X0) ),
inference(resolution,[status(thm)],[f127,f115]) ).
fof(f247,definition,
! [X0] :
( sQ47_spl
<=> ( ~ in(sK5_skl,X0)
| ~ city(X0)
| ~ hollywood(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f248,plain,
! [X0] :
( ~ sQ47_spl
| ~ in(sK5_skl,X0)
| ~ city(X0)
| ~ hollywood(X0) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
! [X1] :
( sQ48_spl
<=> ( ~ down(sK5_skl,X1)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f251,plain,
! [X0] :
( ~ sQ48_spl
| ~ down(sK5_skl,X0)
| ~ lonely(X0)
| ~ way(X0)
| ~ street(X0) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
! [X2] :
( sQ49_spl
<=> ( ~ barrel(sK5_skl,X2)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f254,plain,
! [X0] :
( ~ sQ49_spl
| ~ barrel(sK5_skl,X0)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0)
| ~ chevy(X0) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( ~ sQ15_spl
| ~ sQ18_spl
| sQ49_spl
| sQ48_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f246,f247,f250,f253,f126,f114]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ sQ2_spl
| ~ in(X0,sK0_skl)
| ~ down(X0,X1)
| ~ barrel(X0,X2)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ event(X0)
| ~ hollywood(sK0_skl) ),
inference(resolution,[status(thm)],[f63,f115]) ).
fof(f262,definition,
! [X0,X1,X2] :
( sQ50_spl
<=> ( ~ in(X0,sK0_skl)
| ~ down(X0,X1)
| ~ barrel(X0,X2)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ event(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ15_spl
| ~ sQ2_spl
| sQ50_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f261,f58,f262,f62,f114]) ).
fof(f266,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ sQ3_spl
| ~ in(sK1_skl,X0)
| ~ down(sK1_skl,X1)
| ~ barrel(sK1_skl,X2)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ city(X0)
| ~ hollywood(X0) ),
inference(resolution,[status(thm)],[f67,f115]) ).
fof(f267,definition,
! [X0] :
( sQ51_spl
<=> ( ~ in(sK1_skl,X0)
| ~ city(X0)
| ~ hollywood(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f268,plain,
! [X0] :
( ~ sQ51_spl
| ~ in(sK1_skl,X0)
| ~ city(X0)
| ~ hollywood(X0) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
! [X1] :
( sQ52_spl
<=> ( ~ down(sK1_skl,X1)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f271,plain,
! [X0] :
( ~ sQ52_spl
| ~ down(sK1_skl,X0)
| ~ lonely(X0)
| ~ way(X0)
| ~ street(X0) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
! [X2] :
( sQ53_spl
<=> ( ~ barrel(sK1_skl,X2)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f274,plain,
! [X0] :
( ~ sQ53_spl
| ~ barrel(sK1_skl,X0)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0)
| ~ chevy(X0) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f266,f267,f270,f273,f66,f114]) ).
fof(f277,plain,
( ~ sQ17_spl
| ~ sQ47_spl
| ~ in(sK5_skl,sK4_skl)
| ~ hollywood(sK4_skl) ),
inference(resolution,[status(thm)],[f248,f123]) ).
fof(f279,plain,
( ~ sQ17_spl
| ~ sQ47_spl
| ~ sQ29_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f277,f118,f170,f247,f122]) ).
fof(f281,plain,
( ~ sQ20_spl
| ~ sQ48_spl
| ~ down(sK5_skl,sK6_skl)
| ~ lonely(sK6_skl)
| ~ street(sK6_skl) ),
inference(resolution,[status(thm)],[f251,f135]) ).
fof(f284,plain,
( ~ sQ20_spl
| ~ sQ48_spl
| ~ sQ28_spl
| ~ sQ21_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f281,f130,f138,f166,f250,f134]) ).
fof(f287,plain,
( ~ sQ27_spl
| ~ sQ49_spl
| ~ old(sK7_skl)
| ~ dirty(sK7_skl)
| ~ white(sK7_skl)
| ~ car(sK7_skl)
| ~ chevy(sK7_skl) ),
inference(resolution,[status(thm)],[f254,f163]) ).
fof(f288,plain,
( ~ sQ27_spl
| ~ sQ49_spl
| ~ sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f287,f142,f146,f150,f154,f158,f253,f162]) ).
fof(f289,plain,
( ~ sQ52_spl
| ~ sQ13_spl
| ~ lonely(sK2_skl)
| ~ way(sK2_skl)
| ~ street(sK2_skl) ),
inference(resolution,[status(thm)],[f107,f271]) ).
fof(f290,plain,
( ~ sQ52_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f289,f90,f94,f98,f106,f270]) ).
fof(f291,plain,
( ~ sQ51_spl
| ~ sQ14_spl
| ~ city(sK0_skl)
| ~ hollywood(sK0_skl) ),
inference(resolution,[status(thm)],[f111,f268]) ).
fof(f292,plain,
( ~ sQ51_spl
| ~ sQ14_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f291,f58,f62,f110,f267]) ).
fof(f301,plain,
( ~ sQ12_spl
| ~ sQ53_spl
| ~ old(sK3_skl)
| ~ dirty(sK3_skl)
| ~ white(sK3_skl)
| ~ car(sK3_skl)
| ~ chevy(sK3_skl) ),
inference(resolution,[status(thm)],[f274,f103]) ).
fof(f302,plain,
( ~ sQ12_spl
| ~ sQ53_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f301,f70,f74,f78,f82,f86,f273,f102]) ).
fof(f303,plain,
$false,
inference(sat_refutation,[status(thm)],[f61,f65,f69,f73,f77,f81,f85,f89,f93,f97,f101,f105,f109,f113,f117,f121,f125,f129,f133,f137,f141,f145,f149,f153,f157,f161,f165,f169,f173,f174,f256,f265,f276,f279,f284,f288,f290,f292,f302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP001+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 01:25:57 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.49 % Refutation found
% 0.17/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.55 % Elapsed time: 0.101109 seconds
% 0.24/0.55 % CPU time: 0.106447 seconds
% 0.24/0.55 % Total memory used: 5.385 MB
% 0.24/0.55 % Net memory used: 5.364 MB
%------------------------------------------------------------------------------