TSTP Solution File: NLP149+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NLP149+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.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 Aug 31 17:53:50 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 97 ( 13 unt; 0 def)
% Number of atoms : 596 ( 51 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 602 ( 103 ~; 83 |; 364 &)
% ( 3 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 328 ( 187 !; 141 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f560,plain,
$false,
inference(subsumption_resolution,[],[f555,f412]) ).
fof(f412,plain,
~ furniture(sK2,sK9(sK5,sK2)),
inference(resolution,[],[f405,f273]) ).
fof(f273,plain,
! [X0,X1] :
( instrumentality(X1,X0)
| ~ furniture(X1,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ~ furniture(X1,X0)
| instrumentality(X1,X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( furniture(X1,X0)
=> instrumentality(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( furniture(X0,X1)
=> instrumentality(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f405,plain,
~ instrumentality(sK2,sK9(sK5,sK2)),
inference(resolution,[],[f395,f314]) ).
fof(f314,plain,
! [X0,X1] :
( object(X0,X1)
| ~ instrumentality(X0,X1) ),
inference(resolution,[],[f294,f259]) ).
fof(f259,plain,
! [X0,X1] :
( ~ artifact(X1,X0)
| object(X1,X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( object(X1,X0)
| ~ artifact(X1,X0) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X1,X0] :
( object(X0,X1)
| ~ artifact(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( artifact(X0,X1)
=> object(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f294,plain,
! [X0,X1] :
( artifact(X1,X0)
| ~ instrumentality(X1,X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ instrumentality(X1,X0)
| artifact(X1,X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( instrumentality(X1,X0)
=> artifact(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X0] :
( instrumentality(X0,X1)
=> artifact(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f395,plain,
~ object(sK2,sK9(sK5,sK2)),
inference(resolution,[],[f385,f230]) ).
fof(f230,plain,
! [X0,X1] :
( nonliving(X0,X1)
| ~ object(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( nonliving(X0,X1)
| ~ object(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( object(X0,X1)
=> nonliving(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f385,plain,
~ nonliving(sK2,sK9(sK5,sK2)),
inference(resolution,[],[f383,f326]) ).
fof(f326,plain,
! [X0,X1] :
( ~ man(X0,X1)
| ~ nonliving(X0,X1) ),
inference(resolution,[],[f307,f269]) ).
fof(f269,plain,
! [X0,X1] :
( human_person(X1,X0)
| ~ man(X1,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( human_person(X1,X0)
| ~ man(X1,X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( man(X1,X0)
=> human_person(X1,X0) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X1,X0] :
( man(X0,X1)
=> human_person(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f307,plain,
! [X0,X1] :
( ~ human_person(X0,X1)
| ~ nonliving(X0,X1) ),
inference(resolution,[],[f272,f260]) ).
fof(f260,plain,
! [X0,X1] :
( animate(X0,X1)
| ~ human_person(X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( animate(X0,X1)
| ~ human_person(X0,X1) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
! [X1,X0] :
( animate(X1,X0)
| ~ human_person(X1,X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( human_person(X1,X0)
=> animate(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X1,X0] :
( human_person(X0,X1)
=> animate(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f272,plain,
! [X0,X1] :
( ~ animate(X0,X1)
| ~ nonliving(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ~ nonliving(X0,X1)
| ~ animate(X0,X1) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
! [X1,X0] :
( ~ nonliving(X1,X0)
| ~ animate(X1,X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( animate(X1,X0)
=> ~ nonliving(X1,X0) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X1,X0] :
( animate(X0,X1)
=> ~ nonliving(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f383,plain,
man(sK2,sK9(sK5,sK2)),
inference(resolution,[],[f379,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ~ fellow(X1,X0)
| man(X1,X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( man(X1,X0)
| ~ fellow(X1,X0) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X1,X0] :
( man(X0,X1)
| ~ fellow(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X1,X0] :
( fellow(X0,X1)
=> man(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f379,plain,
fellow(sK2,sK9(sK5,sK2)),
inference(subsumption_resolution,[],[f377,f245]) ).
fof(f245,plain,
two(sK2,sK5),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( barrel(sK2,sK0)
& of(sK2,sK1,sK4)
& two(sK2,sK5)
& placename(sK2,sK1)
& street(sK2,sK4)
& group(sK2,sK5)
& ! [X6] :
( ~ member(sK2,X6,sK5)
| ( fellow(sK2,X6)
& young(sK2,X6) ) )
& ! [X7] :
( ~ member(sK2,X7,sK5)
| ( frontseat(sK2,sK6(X7))
& be(sK2,sK7(X7),X7,sK6(X7))
& state(sK2,sK7(X7)) ) )
& chevy(sK2,sK3)
& hollywood_placename(sK2,sK1)
& event(sK2,sK0)
& city(sK2,sK4)
& old(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f180,f182,f181]) ).
fof(f181,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( barrel(X2,X0)
& of(X2,X1,X4)
& two(X2,X5)
& placename(X2,X1)
& street(X2,X4)
& group(X2,X5)
& ! [X6] :
( ~ member(X2,X6,X5)
| ( fellow(X2,X6)
& young(X2,X6) ) )
& ! [X7] :
( ~ member(X2,X7,X5)
| ? [X8,X9] :
( frontseat(X2,X8)
& be(X2,X9,X7,X8)
& state(X2,X9) ) )
& chevy(X2,X3)
& hollywood_placename(X2,X1)
& event(X2,X0)
& city(X2,X4)
& old(X2,X3) )
=> ( barrel(sK2,sK0)
& of(sK2,sK1,sK4)
& two(sK2,sK5)
& placename(sK2,sK1)
& street(sK2,sK4)
& group(sK2,sK5)
& ! [X6] :
( ~ member(sK2,X6,sK5)
| ( fellow(sK2,X6)
& young(sK2,X6) ) )
& ! [X7] :
( ~ member(sK2,X7,sK5)
| ? [X9,X8] :
( frontseat(sK2,X8)
& be(sK2,X9,X7,X8)
& state(sK2,X9) ) )
& chevy(sK2,sK3)
& hollywood_placename(sK2,sK1)
& event(sK2,sK0)
& city(sK2,sK4)
& old(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X7] :
( ? [X9,X8] :
( frontseat(sK2,X8)
& be(sK2,X9,X7,X8)
& state(sK2,X9) )
=> ( frontseat(sK2,sK6(X7))
& be(sK2,sK7(X7),X7,sK6(X7))
& state(sK2,sK7(X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
? [X0,X1,X2,X3,X4,X5] :
( barrel(X2,X0)
& of(X2,X1,X4)
& two(X2,X5)
& placename(X2,X1)
& street(X2,X4)
& group(X2,X5)
& ! [X6] :
( ~ member(X2,X6,X5)
| ( fellow(X2,X6)
& young(X2,X6) ) )
& ! [X7] :
( ~ member(X2,X7,X5)
| ? [X8,X9] :
( frontseat(X2,X8)
& be(X2,X9,X7,X8)
& state(X2,X9) ) )
& chevy(X2,X3)
& hollywood_placename(X2,X1)
& event(X2,X0)
& city(X2,X4)
& old(X2,X3) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
? [X1,X3,X0,X5,X4,X2] :
( barrel(X0,X1)
& of(X0,X3,X4)
& two(X0,X2)
& placename(X0,X3)
& street(X0,X4)
& group(X0,X2)
& ! [X6] :
( ~ member(X0,X6,X2)
| ( fellow(X0,X6)
& young(X0,X6) ) )
& ! [X7] :
( ~ member(X0,X7,X2)
| ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& chevy(X0,X5)
& hollywood_placename(X0,X3)
& event(X0,X1)
& city(X0,X4)
& old(X0,X5) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
? [X0,X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& chevy(X0,X5)
& of(X0,X3,X4)
& barrel(X0,X1)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& event(X0,X1)
& two(X0,X2) ),
inference(pure_predicate_removal,[],[f108]) ).
fof(f108,plain,
? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& chevy(X0,X5)
& of(X0,X3,X4)
& barrel(X0,X1)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(pure_predicate_removal,[],[f107]) ).
fof(f107,plain,
? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& lonely(X0,X4)
& chevy(X0,X5)
& of(X0,X3,X4)
& barrel(X0,X1)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(pure_predicate_removal,[],[f106]) ).
fof(f106,plain,
? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& lonely(X0,X4)
& chevy(X0,X5)
& of(X0,X3,X4)
& barrel(X0,X1)
& white(X0,X5)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(pure_predicate_removal,[],[f105]) ).
fof(f105,plain,
? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& lonely(X0,X4)
& chevy(X0,X5)
& of(X0,X3,X4)
& barrel(X0,X1)
& white(X0,X5)
& dirty(X0,X5)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(pure_predicate_removal,[],[f104]) ).
fof(f104,plain,
? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& lonely(X0,X4)
& chevy(X0,X5)
& of(X0,X3,X4)
& barrel(X0,X1)
& agent(X0,X1,X5)
& white(X0,X5)
& dirty(X0,X5)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(pure_predicate_removal,[],[f103]) ).
fof(f103,plain,
? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& lonely(X0,X4)
& chevy(X0,X5)
& of(X0,X3,X4)
& barrel(X0,X1)
& agent(X0,X1,X5)
& white(X0,X5)
& dirty(X0,X5)
& present(X0,X1)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(pure_predicate_removal,[],[f102]) ).
fof(f102,plain,
? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& lonely(X0,X4)
& chevy(X0,X5)
& of(X0,X3,X4)
& down(X0,X1,X4)
& barrel(X0,X1)
& agent(X0,X1,X5)
& white(X0,X5)
& dirty(X0,X5)
& present(X0,X1)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( frontseat(X0,X8)
& be(X0,X9,X7,X8)
& state(X0,X9) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(pure_predicate_removal,[],[f70]) ).
fof(f70,plain,
? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& lonely(X0,X4)
& chevy(X0,X5)
& of(X0,X3,X4)
& down(X0,X1,X4)
& barrel(X0,X1)
& agent(X0,X1,X5)
& white(X0,X5)
& dirty(X0,X5)
& present(X0,X1)
& in(X0,X1,X4)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( state(X0,X9)
& be(X0,X9,X7,X8)
& in(X0,X8,X8)
& frontseat(X0,X8) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
~ ~ ? [X0] :
( actual_world(X0)
& ? [X5,X1,X4,X3,X2] :
( hollywood_placename(X0,X3)
& placename(X0,X3)
& group(X0,X2)
& old(X0,X5)
& lonely(X0,X4)
& chevy(X0,X5)
& of(X0,X3,X4)
& down(X0,X1,X4)
& barrel(X0,X1)
& agent(X0,X1,X5)
& white(X0,X5)
& dirty(X0,X5)
& present(X0,X1)
& in(X0,X1,X4)
& street(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& city(X0,X4)
& ! [X7] :
( member(X0,X7,X2)
=> ? [X8,X9] :
( state(X0,X9)
& be(X0,X9,X7,X8)
& in(X0,X8,X8)
& frontseat(X0,X8) ) )
& event(X0,X1)
& two(X0,X2) ) ),
inference(rectify,[],[f63]) ).
fof(f63,negated_conjecture,
~ ~ ? [X0] :
( actual_world(X0)
& ? [X4,X5,X1,X2,X3] :
( agent(X0,X4,X3)
& down(X0,X4,X2)
& event(X0,X4)
& group(X0,X5)
& dirty(X0,X3)
& barrel(X0,X4)
& of(X0,X1,X2)
& hollywood_placename(X0,X1)
& city(X0,X2)
& lonely(X0,X2)
& two(X0,X5)
& chevy(X0,X3)
& white(X0,X3)
& ! [X9] :
( member(X0,X9,X5)
=> ( young(X0,X9)
& fellow(X0,X9) ) )
& street(X0,X2)
& old(X0,X3)
& placename(X0,X1)
& ! [X6] :
( member(X0,X6,X5)
=> ? [X8,X7] :
( be(X0,X7,X6,X8)
& state(X0,X7)
& in(X0,X8,X8)
& frontseat(X0,X8) ) )
& in(X0,X4,X2)
& present(X0,X4) ) ),
inference(negated_conjecture,[],[f62]) ).
fof(f62,conjecture,
~ ? [X0] :
( actual_world(X0)
& ? [X4,X5,X1,X2,X3] :
( agent(X0,X4,X3)
& down(X0,X4,X2)
& event(X0,X4)
& group(X0,X5)
& dirty(X0,X3)
& barrel(X0,X4)
& of(X0,X1,X2)
& hollywood_placename(X0,X1)
& city(X0,X2)
& lonely(X0,X2)
& two(X0,X5)
& chevy(X0,X3)
& white(X0,X3)
& ! [X9] :
( member(X0,X9,X5)
=> ( young(X0,X9)
& fellow(X0,X9) ) )
& street(X0,X2)
& old(X0,X3)
& placename(X0,X1)
& ! [X6] :
( member(X0,X6,X5)
=> ? [X8,X7] :
( be(X0,X7,X6,X8)
& state(X0,X7)
& in(X0,X8,X8)
& frontseat(X0,X8) ) )
& in(X0,X4,X2)
& present(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f377,plain,
( ~ two(sK2,sK5)
| fellow(sK2,sK9(sK5,sK2)) ),
inference(resolution,[],[f278,f241]) ).
fof(f241,plain,
! [X6] :
( ~ member(sK2,X6,sK5)
| fellow(sK2,X6) ),
inference(cnf_transformation,[],[f183]) ).
fof(f278,plain,
! [X0,X1] :
( member(X1,sK9(X0,X1),X0)
| ~ two(X1,X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( ( ( ! [X4] :
( sK8(X0,X1) = X4
| sK9(X0,X1) = X4
| ~ member(X1,X4,X0) )
& sK8(X0,X1) != sK9(X0,X1)
& member(X1,sK9(X0,X1),X0)
& member(X1,sK8(X0,X1),X0) )
| ~ two(X1,X0) )
& ( two(X1,X0)
| ! [X5] :
( ! [X6] :
( ( sK10(X0,X1,X5,X6) != X5
& sK10(X0,X1,X5,X6) != X6
& member(X1,sK10(X0,X1,X5,X6),X0) )
| X5 = X6
| ~ member(X1,X6,X0) )
| ~ member(X1,X5,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f201,f204,f203,f202]) ).
fof(f202,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( X2 = X4
| X3 = X4
| ~ member(X1,X4,X0) )
& X2 != X3
& member(X1,X3,X0) )
& member(X1,X2,X0) )
=> ( ? [X3] :
( ! [X4] :
( sK8(X0,X1) = X4
| X3 = X4
| ~ member(X1,X4,X0) )
& sK8(X0,X1) != X3
& member(X1,X3,X0) )
& member(X1,sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X3] :
( ! [X4] :
( sK8(X0,X1) = X4
| X3 = X4
| ~ member(X1,X4,X0) )
& sK8(X0,X1) != X3
& member(X1,X3,X0) )
=> ( ! [X4] :
( sK8(X0,X1) = X4
| sK9(X0,X1) = X4
| ~ member(X1,X4,X0) )
& sK8(X0,X1) != sK9(X0,X1)
& member(X1,sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0,X1,X5,X6] :
( ? [X7] :
( X5 != X7
& X6 != X7
& member(X1,X7,X0) )
=> ( sK10(X0,X1,X5,X6) != X5
& sK10(X0,X1,X5,X6) != X6
& member(X1,sK10(X0,X1,X5,X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X0,X1] :
( ( ? [X2] :
( ? [X3] :
( ! [X4] :
( X2 = X4
| X3 = X4
| ~ member(X1,X4,X0) )
& X2 != X3
& member(X1,X3,X0) )
& member(X1,X2,X0) )
| ~ two(X1,X0) )
& ( two(X1,X0)
| ! [X5] :
( ! [X6] :
( ? [X7] :
( X5 != X7
& X6 != X7
& member(X1,X7,X0) )
| X5 = X6
| ~ member(X1,X6,X0) )
| ~ member(X1,X5,X0) ) ) ),
inference(rectify,[],[f200]) ).
fof(f200,plain,
! [X1,X0] :
( ( ? [X2] :
( ? [X3] :
( ! [X4] :
( X2 = X4
| X3 = X4
| ~ member(X0,X4,X1) )
& X2 != X3
& member(X0,X3,X1) )
& member(X0,X2,X1) )
| ~ two(X0,X1) )
& ( two(X0,X1)
| ! [X2] :
( ! [X3] :
( ? [X4] :
( X2 != X4
& X3 != X4
& member(X0,X4,X1) )
| X2 = X3
| ~ member(X0,X3,X1) )
| ~ member(X0,X2,X1) ) ) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( X2 = X4
| X3 = X4
| ~ member(X0,X4,X1) )
& X2 != X3
& member(X0,X3,X1) )
& member(X0,X2,X1) )
<=> two(X0,X1) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( member(X0,X3,X1)
& ! [X4] :
( X3 = X4
| X2 = X4
| ~ member(X0,X4,X1) )
& X2 != X3 )
& member(X0,X2,X1) )
<=> two(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( member(X0,X3,X1)
& ! [X4] :
( member(X0,X4,X1)
=> ( X3 = X4
| X2 = X4 ) )
& X2 != X3 )
& member(X0,X2,X1) )
<=> two(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f555,plain,
furniture(sK2,sK9(sK5,sK2)),
inference(backward_demodulation,[],[f467,f551]) ).
fof(f551,plain,
sK9(sK5,sK2) = sK6(sK9(sK5,sK2)),
inference(subsumption_resolution,[],[f549,f245]) ).
fof(f549,plain,
( ~ two(sK2,sK5)
| sK9(sK5,sK2) = sK6(sK9(sK5,sK2)) ),
inference(resolution,[],[f408,f278]) ).
fof(f408,plain,
! [X0] :
( ~ member(sK2,X0,sK5)
| sK6(X0) = X0 ),
inference(resolution,[],[f238,f285]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ be(X2,X0,X3,X1)
| X1 = X3 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ~ be(X2,X0,X3,X1)
| X1 = X3 ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1,X3,X2,X0] :
( ~ be(X2,X1,X0,X3)
| X0 = X3 ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X3,X2,X1,X0] :
( be(X2,X1,X0,X3)
=> X0 = X3 ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X2,X1,X0,X3] :
( be(X0,X1,X2,X3)
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f238,plain,
! [X7] :
( be(sK2,sK7(X7),X7,sK6(X7))
| ~ member(sK2,X7,sK5) ),
inference(cnf_transformation,[],[f183]) ).
fof(f467,plain,
furniture(sK2,sK6(sK9(sK5,sK2))),
inference(resolution,[],[f416,f281]) ).
fof(f281,plain,
! [X0,X1] :
( ~ seat(X1,X0)
| furniture(X1,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( furniture(X1,X0)
| ~ seat(X1,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( seat(X1,X0)
=> furniture(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( seat(X0,X1)
=> furniture(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f416,plain,
seat(sK2,sK6(sK9(sK5,sK2))),
inference(resolution,[],[f380,f251]) ).
fof(f251,plain,
! [X0,X1] :
( ~ frontseat(X0,X1)
| seat(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( seat(X0,X1)
| ~ frontseat(X0,X1) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X1,X0] :
( seat(X1,X0)
| ~ frontseat(X1,X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( frontseat(X1,X0)
=> seat(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( frontseat(X0,X1)
=> seat(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f380,plain,
frontseat(sK2,sK6(sK9(sK5,sK2))),
inference(subsumption_resolution,[],[f375,f245]) ).
fof(f375,plain,
( frontseat(sK2,sK6(sK9(sK5,sK2)))
| ~ two(sK2,sK5) ),
inference(resolution,[],[f278,f239]) ).
fof(f239,plain,
! [X7] :
( ~ member(sK2,X7,sK5)
| frontseat(sK2,sK6(X7)) ),
inference(cnf_transformation,[],[f183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NLP149+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n025.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 Aug 30 04:51:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.42 % (2330)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.43 % (2330)Refutation not found, incomplete strategy% (2330)------------------------------
% 0.19/0.43 % (2330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44 % (2347)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.44 % (2330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44 % (2330)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.44
% 0.19/0.44 % (2330)Memory used [KB]: 1663
% 0.19/0.44 % (2330)Time elapsed: 0.056 s
% 0.19/0.44 % (2330)Instructions burned: 6 (million)
% 0.19/0.44 % (2330)------------------------------
% 0.19/0.44 % (2330)------------------------------
% 0.19/0.45 % (2339)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.45 % (2339)Instruction limit reached!
% 0.19/0.45 % (2339)------------------------------
% 0.19/0.45 % (2339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45 % (2339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45 % (2339)Termination reason: Unknown
% 0.19/0.45 % (2339)Termination phase: Preprocessing 3
% 0.19/0.45
% 0.19/0.45 % (2339)Memory used [KB]: 1535
% 0.19/0.45 % (2339)Time elapsed: 0.004 s
% 0.19/0.45 % (2339)Instructions burned: 3 (million)
% 0.19/0.45 % (2339)------------------------------
% 0.19/0.45 % (2339)------------------------------
% 0.19/0.48 % (2325)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49 % (2341)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (2326)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (2347)Instruction limit reached!
% 0.19/0.50 % (2347)------------------------------
% 0.19/0.50 % (2347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2347)Termination reason: Unknown
% 0.19/0.50 % (2347)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (2347)Memory used [KB]: 7291
% 0.19/0.50 % (2347)Time elapsed: 0.120 s
% 0.19/0.50 % (2347)Instructions burned: 82 (million)
% 0.19/0.50 % (2347)------------------------------
% 0.19/0.50 % (2347)------------------------------
% 0.19/0.50 % (2336)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (2335)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51 % (2328)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (2337)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51 % (2336)Instruction limit reached!
% 0.19/0.51 % (2336)------------------------------
% 0.19/0.51 % (2336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2336)Termination reason: Unknown
% 0.19/0.51 % (2336)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (2336)Memory used [KB]: 6140
% 0.19/0.51 % (2336)Time elapsed: 0.110 s
% 0.19/0.51 % (2336)Instructions burned: 7 (million)
% 0.19/0.51 % (2336)------------------------------
% 0.19/0.51 % (2336)------------------------------
% 0.19/0.51 % (2376)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.19/0.51 % (2325)First to succeed.
% 0.19/0.51 % (2325)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (2325)------------------------------
% 0.19/0.52 % (2325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (2325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2325)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (2325)Memory used [KB]: 6268
% 0.19/0.52 % (2325)Time elapsed: 0.115 s
% 0.19/0.52 % (2325)Instructions burned: 15 (million)
% 0.19/0.52 % (2325)------------------------------
% 0.19/0.52 % (2325)------------------------------
% 0.19/0.52 % (2324)Success in time 0.167 s
%------------------------------------------------------------------------------