TSTP Solution File: NLP208+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NLP208+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %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 : 300s
% DateTime : Wed May 31 12:24:02 EDT 2023
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 305 ( 5 equ)
% Maximal formula atoms : 48 ( 7 avg)
% Number of connectives : 306 ( 44 ~; 34 |; 210 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 143 (; 87 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [U,V] :
( man(U,V)
=> male(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [U,V] :
( object(U,V)
=> unisex(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [U,V] :
( artifact(U,V)
=> object(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [U,V] :
( instrumentality(U,V)
=> artifact(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U,V] :
( device(U,V)
=> instrumentality(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [U,V] :
( wheel(U,V)
=> device(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [U,V] :
( unisex(U,V)
=> ~ male(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U,V,W,X] :
( be(U,V,W,X)
=> W = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,conjecture,
~ ? [U] :
( actual_world(U)
& ? [V,W,X,Y,Z,X1,X2,X3,X4,X5] :
( of(U,W,V)
& man(U,V)
& jules_forename(U,W)
& forename(U,W)
& frontseat(U,Z)
& chevy(U,X)
& white(U,X)
& dirty(U,X)
& old(U,X)
& of(U,Y,Z)
& city(U,Z)
& hollywood_placename(U,Y)
& placename(U,Y)
& street(U,Z)
& lonely(U,Z)
& event(U,X1)
& agent(U,X1,X)
& present(U,X1)
& barrel(U,X1)
& down(U,X1,Z)
& in(U,X1,Z)
& ! [X6] :
( member(U,X6,X2)
=> ? [X7,X8] :
( state(U,X7)
& be(U,X7,X6,X8)
& in(U,X8,Z) ) )
& two(U,X2)
& group(U,X2)
& ! [X9] :
( member(U,X9,X2)
=> ( fellow(U,X9)
& young(U,X9) ) )
& ! [X10] :
( member(U,X10,X3)
=> ! [X11] :
( member(U,X11,X2)
=> ? [X12] :
( event(U,X12)
& agent(U,X12,X11)
& patient(U,X12,X10)
& present(U,X12)
& nonreflexive(U,X12)
& wear(U,X12) ) ) )
& group(U,X3)
& ! [X13] :
( member(U,X13,X3)
=> ( coat(U,X13)
& black(U,X13)
& cheap(U,X13) ) )
& wheel(U,X5)
& state(U,X4)
& be(U,X4,V,X5)
& behind(U,X5,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
~ ~ ? [U] :
( actual_world(U)
& ? [V,W,X,Y,Z,X1,X2,X3,X4,X5] :
( of(U,W,V)
& man(U,V)
& jules_forename(U,W)
& forename(U,W)
& frontseat(U,Z)
& chevy(U,X)
& white(U,X)
& dirty(U,X)
& old(U,X)
& of(U,Y,Z)
& city(U,Z)
& hollywood_placename(U,Y)
& placename(U,Y)
& street(U,Z)
& lonely(U,Z)
& event(U,X1)
& agent(U,X1,X)
& present(U,X1)
& barrel(U,X1)
& down(U,X1,Z)
& in(U,X1,Z)
& ! [X6] :
( member(U,X6,X2)
=> ? [X7,X8] :
( state(U,X7)
& be(U,X7,X6,X8)
& in(U,X8,Z) ) )
& two(U,X2)
& group(U,X2)
& ! [X9] :
( member(U,X9,X2)
=> ( fellow(U,X9)
& young(U,X9) ) )
& ! [X10] :
( member(U,X10,X3)
=> ! [X11] :
( member(U,X11,X2)
=> ? [X12] :
( event(U,X12)
& agent(U,X12,X11)
& patient(U,X12,X10)
& present(U,X12)
& nonreflexive(U,X12)
& wear(U,X12) ) ) )
& group(U,X3)
& ! [X13] :
( member(U,X13,X3)
=> ( coat(U,X13)
& black(U,X13)
& cheap(U,X13) ) )
& wheel(U,X5)
& state(U,X4)
& be(U,X4,V,X5)
& behind(U,X5,X5) ) ),
inference(negated_conjecture,[status(cth)],[f72]) ).
fof(f120,plain,
! [U,V] :
( ~ man(U,V)
| male(U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f121,plain,
! [X0,X1] :
( ~ man(X0,X1)
| male(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f148,plain,
! [U,V] :
( ~ object(U,V)
| unisex(U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f149,plain,
! [X0,X1] :
( ~ object(X0,X1)
| unisex(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f162,plain,
! [U,V] :
( ~ artifact(U,V)
| object(U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f163,plain,
! [X0,X1] :
( ~ artifact(X0,X1)
| object(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f164,plain,
! [U,V] :
( ~ instrumentality(U,V)
| artifact(U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f46]) ).
fof(f165,plain,
! [X0,X1] :
( ~ instrumentality(X0,X1)
| artifact(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f166,plain,
! [U,V] :
( ~ device(U,V)
| instrumentality(U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f47]) ).
fof(f167,plain,
! [X0,X1] :
( ~ device(X0,X1)
| instrumentality(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f168,plain,
! [U,V] :
( ~ wheel(U,V)
| device(U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f48]) ).
fof(f169,plain,
! [X0,X1] :
( ~ wheel(X0,X1)
| device(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f168]) ).
fof(f198,plain,
! [U,V] :
( ~ unisex(U,V)
| ~ male(U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f63]) ).
fof(f199,plain,
! [X0,X1] :
( ~ unisex(X0,X1)
| ~ male(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f224,plain,
! [U,V,W,X] :
( ~ be(U,V,W,X)
| W = X ),
inference(pre_NNF_transformation,[status(esa)],[f71]) ).
fof(f225,plain,
! [W,X] :
( ! [U,V] : ~ be(U,V,W,X)
| W = X ),
inference(miniscoping,[status(esa)],[f224]) ).
fof(f226,plain,
! [X0,X1,X2,X3] :
( ~ be(X0,X1,X2,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f225]) ).
fof(f227,plain,
? [U] :
( actual_world(U)
& ? [V,W,X,Y,Z,X1,X2,X3,X4,X5] :
( of(U,W,V)
& man(U,V)
& jules_forename(U,W)
& forename(U,W)
& frontseat(U,Z)
& chevy(U,X)
& white(U,X)
& dirty(U,X)
& old(U,X)
& of(U,Y,Z)
& city(U,Z)
& hollywood_placename(U,Y)
& placename(U,Y)
& street(U,Z)
& lonely(U,Z)
& event(U,X1)
& agent(U,X1,X)
& present(U,X1)
& barrel(U,X1)
& down(U,X1,Z)
& in(U,X1,Z)
& ! [X6] :
( ~ member(U,X6,X2)
| ? [X7,X8] :
( state(U,X7)
& be(U,X7,X6,X8)
& in(U,X8,Z) ) )
& two(U,X2)
& group(U,X2)
& ! [X9] :
( ~ member(U,X9,X2)
| ( fellow(U,X9)
& young(U,X9) ) )
& ! [X10] :
( ~ member(U,X10,X3)
| ! [X11] :
( ~ member(U,X11,X2)
| ? [X12] :
( event(U,X12)
& agent(U,X12,X11)
& patient(U,X12,X10)
& present(U,X12)
& nonreflexive(U,X12)
& wear(U,X12) ) ) )
& group(U,X3)
& ! [X13] :
( ~ member(U,X13,X3)
| ( coat(U,X13)
& black(U,X13)
& cheap(U,X13) ) )
& wheel(U,X5)
& state(U,X4)
& be(U,X4,V,X5)
& behind(U,X5,X5) ) ),
inference(pre_NNF_transformation,[status(esa)],[f73]) ).
fof(f228,plain,
? [U] :
( actual_world(U)
& ? [X5] :
( ? [V,X4] :
( ? [X3] :
( ? [X2] :
( ? [Z] :
( ? [X1] :
( ? [X] :
( ? [Y] :
( ? [W] :
( of(U,W,V)
& man(U,V)
& jules_forename(U,W)
& forename(U,W) )
& frontseat(U,Z)
& chevy(U,X)
& white(U,X)
& dirty(U,X)
& old(U,X)
& of(U,Y,Z)
& city(U,Z)
& hollywood_placename(U,Y)
& placename(U,Y) )
& street(U,Z)
& lonely(U,Z)
& event(U,X1)
& agent(U,X1,X) )
& present(U,X1)
& barrel(U,X1)
& down(U,X1,Z)
& in(U,X1,Z) )
& ! [X6] :
( ~ member(U,X6,X2)
| ? [X8] :
( ? [X7] :
( state(U,X7)
& be(U,X7,X6,X8) )
& in(U,X8,Z) ) ) )
& two(U,X2)
& group(U,X2)
& ! [X9] :
( ~ member(U,X9,X2)
| ( fellow(U,X9)
& young(U,X9) ) )
& ! [X10] :
( ~ member(U,X10,X3)
| ! [X11] :
( ~ member(U,X11,X2)
| ? [X12] :
( event(U,X12)
& agent(U,X12,X11)
& patient(U,X12,X10)
& present(U,X12)
& nonreflexive(U,X12)
& wear(U,X12) ) ) ) )
& group(U,X3)
& ! [X13] :
( ~ member(U,X13,X3)
| ( coat(U,X13)
& black(U,X13)
& cheap(U,X13) ) ) )
& wheel(U,X5)
& state(U,X4)
& be(U,X4,V,X5) )
& behind(U,X5,X5) ) ),
inference(miniscoping,[status(esa)],[f227]) ).
fof(f229,plain,
( actual_world(sk0_3)
& of(sk0_3,sk0_13,sk0_5)
& man(sk0_3,sk0_5)
& jules_forename(sk0_3,sk0_13)
& forename(sk0_3,sk0_13)
& frontseat(sk0_3,sk0_9)
& chevy(sk0_3,sk0_11)
& white(sk0_3,sk0_11)
& dirty(sk0_3,sk0_11)
& old(sk0_3,sk0_11)
& of(sk0_3,sk0_12,sk0_9)
& city(sk0_3,sk0_9)
& hollywood_placename(sk0_3,sk0_12)
& placename(sk0_3,sk0_12)
& street(sk0_3,sk0_9)
& lonely(sk0_3,sk0_9)
& event(sk0_3,sk0_10)
& agent(sk0_3,sk0_10,sk0_11)
& present(sk0_3,sk0_10)
& barrel(sk0_3,sk0_10)
& down(sk0_3,sk0_10,sk0_9)
& in(sk0_3,sk0_10,sk0_9)
& ! [X6] :
( ~ member(sk0_3,X6,sk0_8)
| ( state(sk0_3,sk0_15(X6))
& be(sk0_3,sk0_15(X6),X6,sk0_14(X6))
& in(sk0_3,sk0_14(X6),sk0_9) ) )
& two(sk0_3,sk0_8)
& group(sk0_3,sk0_8)
& ! [X9] :
( ~ member(sk0_3,X9,sk0_8)
| ( fellow(sk0_3,X9)
& young(sk0_3,X9) ) )
& ! [X10] :
( ~ member(sk0_3,X10,sk0_7)
| ! [X11] :
( ~ member(sk0_3,X11,sk0_8)
| ( event(sk0_3,sk0_16(X11,X10))
& agent(sk0_3,sk0_16(X11,X10),X11)
& patient(sk0_3,sk0_16(X11,X10),X10)
& present(sk0_3,sk0_16(X11,X10))
& nonreflexive(sk0_3,sk0_16(X11,X10))
& wear(sk0_3,sk0_16(X11,X10)) ) ) )
& group(sk0_3,sk0_7)
& ! [X13] :
( ~ member(sk0_3,X13,sk0_7)
| ( coat(sk0_3,X13)
& black(sk0_3,X13)
& cheap(sk0_3,X13) ) )
& wheel(sk0_3,sk0_4)
& state(sk0_3,sk0_6)
& be(sk0_3,sk0_6,sk0_5,sk0_4)
& behind(sk0_3,sk0_4,sk0_4) ),
inference(skolemization,[status(esa)],[f228]) ).
fof(f232,plain,
man(sk0_3,sk0_5),
inference(cnf_transformation,[status(esa)],[f229]) ).
fof(f269,plain,
wheel(sk0_3,sk0_4),
inference(cnf_transformation,[status(esa)],[f229]) ).
fof(f271,plain,
be(sk0_3,sk0_6,sk0_5,sk0_4),
inference(cnf_transformation,[status(esa)],[f229]) ).
fof(f280,plain,
device(sk0_3,sk0_4),
inference(resolution,[status(thm)],[f169,f269]) ).
fof(f284,plain,
sk0_5 = sk0_4,
inference(resolution,[status(thm)],[f226,f271]) ).
fof(f287,plain,
man(sk0_3,sk0_4),
inference(backward_demodulation,[status(thm)],[f284,f232]) ).
fof(f298,plain,
! [X0,X1] :
( ~ instrumentality(X0,X1)
| object(X0,X1) ),
inference(resolution,[status(thm)],[f165,f163]) ).
fof(f299,plain,
instrumentality(sk0_3,sk0_4),
inference(resolution,[status(thm)],[f167,f280]) ).
fof(f322,plain,
! [X0,X1] :
( ~ unisex(X0,X1)
| ~ man(X0,X1) ),
inference(resolution,[status(thm)],[f199,f121]) ).
fof(f384,plain,
~ unisex(sk0_3,sk0_4),
inference(resolution,[status(thm)],[f322,f287]) ).
fof(f385,plain,
~ object(sk0_3,sk0_4),
inference(resolution,[status(thm)],[f384,f149]) ).
fof(f387,plain,
~ instrumentality(sk0_3,sk0_4),
inference(resolution,[status(thm)],[f385,f298]) ).
fof(f388,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f387,f299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP208+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:47:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37 % Elapsed time: 0.027229 seconds
% 0.12/0.37 % CPU time: 0.048298 seconds
% 0.12/0.37 % Memory used: 12.631 MB
%------------------------------------------------------------------------------