TSTP Solution File: NLP143+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NLP143+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 : n002.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 17:53:48 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 92 ( 17 unt; 0 def)
% Number of atoms : 582 ( 49 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 579 ( 89 ~; 75 |; 364 &)
% ( 3 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 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 : 317 ( 176 !; 141 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f447,plain,
$false,
inference(unit_resulting_resolution,[],[f419,f439,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ~ object(X0,X1)
| nonliving(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( nonliving(X0,X1)
| ~ object(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( object(X0,X1)
=> nonliving(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f439,plain,
object(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f427,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ artifact(X1,X0)
| object(X1,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ artifact(X1,X0)
| object(X1,X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( artifact(X1,X0)
=> object(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X1,X0] :
( artifact(X0,X1)
=> object(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f427,plain,
artifact(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f407,f264]) ).
fof(f264,plain,
! [X0,X1] :
( ~ instrumentality(X1,X0)
| artifact(X1,X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( artifact(X1,X0)
| ~ instrumentality(X1,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,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(f407,plain,
instrumentality(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f385,f291]) ).
fof(f291,plain,
! [X0,X1] :
( ~ furniture(X1,X0)
| instrumentality(X1,X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( instrumentality(X1,X0)
| ~ furniture(X1,X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,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(f385,plain,
furniture(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f380,f267]) ).
fof(f267,plain,
! [X0,X1] :
( ~ seat(X1,X0)
| furniture(X1,X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( furniture(X1,X0)
| ~ seat(X1,X0) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( furniture(X0,X1)
| ~ seat(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( seat(X0,X1)
=> furniture(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f380,plain,
seat(sK8,sK1(sK8,sK7)),
inference(backward_demodulation,[],[f355,f362]) ).
fof(f362,plain,
sK9(sK1(sK8,sK7)) = sK1(sK8,sK7),
inference(resolution,[],[f315,f226]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( ~ be(X2,X3,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| ~ be(X2,X3,X0,X1) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X3,X0,X1,X2] :
( X0 = X3
| ~ be(X1,X2,X3,X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X2,X1,X3,X0] :
( be(X1,X2,X3,X0)
=> X0 = X3 ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X3,X0,X1,X2] :
( be(X0,X1,X2,X3)
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f315,plain,
be(sK8,sK10(sK1(sK8,sK7)),sK1(sK8,sK7),sK9(sK1(sK8,sK7))),
inference(resolution,[],[f294,f282]) ).
fof(f282,plain,
! [X6] :
( ~ member(sK8,X6,sK7)
| be(sK8,sK10(X6),X6,sK9(X6)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( chevy(sK8,sK5)
& street(sK8,sK4)
& placename(sK8,sK3)
& old(sK8,sK5)
& of(sK8,sK3,sK5)
& ! [X6] :
( ( frontseat(sK8,sK9(X6))
& be(sK8,sK10(X6),X6,sK9(X6))
& state(sK8,sK10(X6)) )
| ~ member(sK8,X6,sK7) )
& hollywood_placename(sK8,sK3)
& ! [X9] :
( ~ member(sK8,X9,sK7)
| ( fellow(sK8,X9)
& young(sK8,X9) ) )
& event(sK8,sK6)
& group(sK8,sK7)
& two(sK8,sK7)
& barrel(sK8,sK6)
& city(sK8,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f205,f207,f206]) ).
fof(f206,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( chevy(X5,X2)
& street(X5,X1)
& placename(X5,X0)
& old(X5,X2)
& of(X5,X0,X2)
& ! [X6] :
( ? [X7,X8] :
( frontseat(X5,X7)
& be(X5,X8,X6,X7)
& state(X5,X8) )
| ~ member(X5,X6,X4) )
& hollywood_placename(X5,X0)
& ! [X9] :
( ~ member(X5,X9,X4)
| ( fellow(X5,X9)
& young(X5,X9) ) )
& event(X5,X3)
& group(X5,X4)
& two(X5,X4)
& barrel(X5,X3)
& city(X5,X2) )
=> ( chevy(sK8,sK5)
& street(sK8,sK4)
& placename(sK8,sK3)
& old(sK8,sK5)
& of(sK8,sK3,sK5)
& ! [X6] :
( ? [X8,X7] :
( frontseat(sK8,X7)
& be(sK8,X8,X6,X7)
& state(sK8,X8) )
| ~ member(sK8,X6,sK7) )
& hollywood_placename(sK8,sK3)
& ! [X9] :
( ~ member(sK8,X9,sK7)
| ( fellow(sK8,X9)
& young(sK8,X9) ) )
& event(sK8,sK6)
& group(sK8,sK7)
& two(sK8,sK7)
& barrel(sK8,sK6)
& city(sK8,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X6] :
( ? [X8,X7] :
( frontseat(sK8,X7)
& be(sK8,X8,X6,X7)
& state(sK8,X8) )
=> ( frontseat(sK8,sK9(X6))
& be(sK8,sK10(X6),X6,sK9(X6))
& state(sK8,sK10(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
? [X0,X1,X2,X3,X4,X5] :
( chevy(X5,X2)
& street(X5,X1)
& placename(X5,X0)
& old(X5,X2)
& of(X5,X0,X2)
& ! [X6] :
( ? [X7,X8] :
( frontseat(X5,X7)
& be(X5,X8,X6,X7)
& state(X5,X8) )
| ~ member(X5,X6,X4) )
& hollywood_placename(X5,X0)
& ! [X9] :
( ~ member(X5,X9,X4)
| ( fellow(X5,X9)
& young(X5,X9) ) )
& event(X5,X3)
& group(X5,X4)
& two(X5,X4)
& barrel(X5,X3)
& city(X5,X2) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
? [X3,X5,X1,X4,X2,X0] :
( chevy(X0,X1)
& street(X0,X5)
& placename(X0,X3)
& old(X0,X1)
& of(X0,X3,X1)
& ! [X7] :
( ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) )
| ~ member(X0,X7,X2) )
& hollywood_placename(X0,X3)
& ! [X6] :
( ~ member(X0,X6,X2)
| ( fellow(X0,X6)
& young(X0,X6) ) )
& event(X0,X4)
& group(X0,X2)
& two(X0,X2)
& barrel(X0,X4)
& city(X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
? [X0,X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) ) )
& two(X0,X2)
& chevy(X0,X1)
& barrel(X0,X4)
& placename(X0,X3)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& group(X0,X2) ),
inference(pure_predicate_removal,[],[f102]) ).
fof(f102,plain,
? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) ) )
& two(X0,X2)
& chevy(X0,X1)
& barrel(X0,X4)
& placename(X0,X3)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& group(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f101]) ).
fof(f101,plain,
? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) ) )
& two(X0,X2)
& white(X0,X1)
& chevy(X0,X1)
& barrel(X0,X4)
& placename(X0,X3)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& group(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f100]) ).
fof(f100,plain,
? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) ) )
& two(X0,X2)
& white(X0,X1)
& chevy(X0,X1)
& barrel(X0,X4)
& placename(X0,X3)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& group(X0,X2)
& dirty(X0,X1) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) ) )
& two(X0,X2)
& white(X0,X1)
& chevy(X0,X1)
& barrel(X0,X4)
& placename(X0,X3)
& lonely(X0,X5)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& group(X0,X2)
& dirty(X0,X1) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) ) )
& two(X0,X2)
& white(X0,X1)
& chevy(X0,X1)
& barrel(X0,X4)
& placename(X0,X3)
& lonely(X0,X5)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& group(X0,X2)
& agent(X0,X4,X1)
& dirty(X0,X1) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f97,plain,
? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) ) )
& two(X0,X2)
& white(X0,X1)
& chevy(X0,X1)
& barrel(X0,X4)
& present(X0,X4)
& placename(X0,X3)
& lonely(X0,X5)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& group(X0,X2)
& agent(X0,X4,X1)
& dirty(X0,X1) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f96]) ).
fof(f96,plain,
? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( frontseat(X0,X9)
& be(X0,X8,X7,X9)
& state(X0,X8) ) )
& two(X0,X2)
& white(X0,X1)
& chevy(X0,X1)
& barrel(X0,X4)
& present(X0,X4)
& placename(X0,X3)
& lonely(X0,X5)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& down(X0,X4,X5)
& group(X0,X2)
& agent(X0,X4,X1)
& dirty(X0,X1) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f92]) ).
fof(f92,plain,
? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( in(X0,X9,X9)
& state(X0,X8)
& frontseat(X0,X9)
& be(X0,X8,X7,X9) ) )
& two(X0,X2)
& white(X0,X1)
& chevy(X0,X1)
& barrel(X0,X4)
& present(X0,X4)
& placename(X0,X3)
& lonely(X0,X5)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& down(X0,X4,X5)
& group(X0,X2)
& in(X0,X4,X1)
& agent(X0,X4,X1)
& dirty(X0,X1) )
& actual_world(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
~ ~ ? [X0] :
( ? [X4,X1,X2,X5,X3] :
( ! [X7] :
( member(X0,X7,X2)
=> ? [X9,X8] :
( in(X0,X9,X9)
& state(X0,X8)
& frontseat(X0,X9)
& be(X0,X8,X7,X9) ) )
& two(X0,X2)
& white(X0,X1)
& chevy(X0,X1)
& barrel(X0,X4)
& present(X0,X4)
& placename(X0,X3)
& lonely(X0,X5)
& event(X0,X4)
& ! [X6] :
( member(X0,X6,X2)
=> ( fellow(X0,X6)
& young(X0,X6) ) )
& hollywood_placename(X0,X3)
& city(X0,X1)
& street(X0,X5)
& old(X0,X1)
& of(X0,X3,X1)
& down(X0,X4,X5)
& group(X0,X2)
& in(X0,X4,X1)
& agent(X0,X4,X1)
& dirty(X0,X1) )
& actual_world(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,negated_conjecture,
~ ~ ? [X0] :
( actual_world(X0)
& ? [X2,X5,X1,X4,X3] :
( white(X0,X2)
& barrel(X0,X4)
& down(X0,X4,X3)
& agent(X0,X4,X2)
& present(X0,X4)
& ! [X9] :
( member(X0,X9,X5)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& placename(X0,X1)
& chevy(X0,X2)
& in(X0,X4,X2)
& ! [X6] :
( member(X0,X6,X5)
=> ? [X7,X8] :
( in(X0,X8,X8)
& be(X0,X7,X6,X8)
& frontseat(X0,X8)
& state(X0,X7) ) )
& hollywood_placename(X0,X1)
& event(X0,X4)
& dirty(X0,X2)
& street(X0,X3)
& two(X0,X5)
& city(X0,X2)
& lonely(X0,X3)
& group(X0,X5)
& of(X0,X1,X2)
& old(X0,X2) ) ),
inference(negated_conjecture,[],[f62]) ).
fof(f62,conjecture,
~ ? [X0] :
( actual_world(X0)
& ? [X2,X5,X1,X4,X3] :
( white(X0,X2)
& barrel(X0,X4)
& down(X0,X4,X3)
& agent(X0,X4,X2)
& present(X0,X4)
& ! [X9] :
( member(X0,X9,X5)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& placename(X0,X1)
& chevy(X0,X2)
& in(X0,X4,X2)
& ! [X6] :
( member(X0,X6,X5)
=> ? [X7,X8] :
( in(X0,X8,X8)
& be(X0,X7,X6,X8)
& frontseat(X0,X8)
& state(X0,X7) ) )
& hollywood_placename(X0,X1)
& event(X0,X4)
& dirty(X0,X2)
& street(X0,X3)
& two(X0,X5)
& city(X0,X2)
& lonely(X0,X3)
& group(X0,X5)
& of(X0,X1,X2)
& old(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f294,plain,
member(sK8,sK1(sK8,sK7),sK7),
inference(resolution,[],[f275,f241]) ).
fof(f241,plain,
! [X0,X1] :
( ~ two(X0,X1)
| member(X0,sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( two(X0,X1)
| ! [X2] :
( ~ member(X0,X2,X1)
| ! [X3] :
( ( sK0(X0,X1,X2,X3) != X3
& member(X0,sK0(X0,X1,X2,X3),X1)
& sK0(X0,X1,X2,X3) != X2 )
| ~ member(X0,X3,X1)
| X2 = X3 ) ) )
& ( ( member(X0,sK1(X0,X1),X1)
& ! [X7] :
( sK2(X0,X1) = X7
| ~ member(X0,X7,X1)
| sK1(X0,X1) = X7 )
& member(X0,sK2(X0,X1),X1)
& sK1(X0,X1) != sK2(X0,X1) )
| ~ two(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f187,f190,f189,f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( X3 != X4
& member(X0,X4,X1)
& X2 != X4 )
=> ( sK0(X0,X1,X2,X3) != X3
& member(X0,sK0(X0,X1,X2,X3),X1)
& sK0(X0,X1,X2,X3) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X5] :
( member(X0,X5,X1)
& ? [X6] :
( ! [X7] :
( X6 = X7
| ~ member(X0,X7,X1)
| X5 = X7 )
& member(X0,X6,X1)
& X5 != X6 ) )
=> ( member(X0,sK1(X0,X1),X1)
& ? [X6] :
( ! [X7] :
( X6 = X7
| ~ member(X0,X7,X1)
| sK1(X0,X1) = X7 )
& member(X0,X6,X1)
& sK1(X0,X1) != X6 ) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
! [X0,X1] :
( ? [X6] :
( ! [X7] :
( X6 = X7
| ~ member(X0,X7,X1)
| sK1(X0,X1) = X7 )
& member(X0,X6,X1)
& sK1(X0,X1) != X6 )
=> ( ! [X7] :
( sK2(X0,X1) = X7
| ~ member(X0,X7,X1)
| sK1(X0,X1) = X7 )
& member(X0,sK2(X0,X1),X1)
& sK1(X0,X1) != sK2(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0,X1] :
( ( two(X0,X1)
| ! [X2] :
( ~ member(X0,X2,X1)
| ! [X3] :
( ? [X4] :
( X3 != X4
& member(X0,X4,X1)
& X2 != X4 )
| ~ member(X0,X3,X1)
| X2 = X3 ) ) )
& ( ? [X5] :
( member(X0,X5,X1)
& ? [X6] :
( ! [X7] :
( X6 = X7
| ~ member(X0,X7,X1)
| X5 = X7 )
& member(X0,X6,X1)
& X5 != X6 ) )
| ~ two(X0,X1) ) ),
inference(rectify,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( ( two(X0,X1)
| ! [X2] :
( ~ member(X0,X2,X1)
| ! [X3] :
( ? [X4] :
( X3 != X4
& member(X0,X4,X1)
& X2 != X4 )
| ~ member(X0,X3,X1)
| X2 = X3 ) ) )
& ( ? [X2] :
( member(X0,X2,X1)
& ? [X3] :
( ! [X4] :
( X3 = X4
| ~ member(X0,X4,X1)
| X2 = X4 )
& member(X0,X3,X1)
& X2 != X3 ) )
| ~ two(X0,X1) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( two(X0,X1)
<=> ? [X2] :
( member(X0,X2,X1)
& ? [X3] :
( ! [X4] :
( X3 = X4
| ~ member(X0,X4,X1)
| X2 = X4 )
& member(X0,X3,X1)
& X2 != X3 ) ) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( X3 = X4
| X2 = X4
| ~ member(X0,X4,X1) )
& X2 != X3
& member(X0,X3,X1) )
& member(X0,X2,X1) )
<=> two(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( ! [X4] :
( member(X0,X4,X1)
=> ( X3 = X4
| X2 = X4 ) )
& X2 != X3
& member(X0,X3,X1) )
& member(X0,X2,X1) )
<=> two(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f275,plain,
two(sK8,sK7),
inference(cnf_transformation,[],[f208]) ).
fof(f355,plain,
seat(sK8,sK9(sK1(sK8,sK7))),
inference(resolution,[],[f316,f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ frontseat(X0,X1)
| seat(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( seat(X0,X1)
| ~ frontseat(X0,X1) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X1,X0] :
( seat(X1,X0)
| ~ frontseat(X1,X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,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(f316,plain,
frontseat(sK8,sK9(sK1(sK8,sK7))),
inference(resolution,[],[f294,f283]) ).
fof(f283,plain,
! [X6] :
( ~ member(sK8,X6,sK7)
| frontseat(sK8,sK9(X6)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f419,plain,
~ nonliving(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f399,f211]) ).
fof(f211,plain,
! [X0,X1] :
( ~ animate(X1,X0)
| ~ nonliving(X1,X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ~ nonliving(X1,X0)
| ~ animate(X1,X0) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X1,X0] :
( ~ nonliving(X0,X1)
| ~ animate(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X1,X0] :
( animate(X0,X1)
=> ~ nonliving(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f399,plain,
animate(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f365,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ~ human_person(X0,X1)
| animate(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ human_person(X0,X1)
| animate(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X1,X0] :
( human_person(X0,X1)
=> animate(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f365,plain,
human_person(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f338,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ man(X1,X0)
| human_person(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ~ man(X1,X0)
| human_person(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(f338,plain,
man(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f318,f263]) ).
fof(f263,plain,
! [X0,X1] :
( ~ fellow(X0,X1)
| man(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( man(X0,X1)
| ~ fellow(X0,X1) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X1,X0] :
( man(X1,X0)
| ~ fellow(X1,X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( fellow(X1,X0)
=> man(X1,X0) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X1,X0] :
( fellow(X0,X1)
=> man(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f318,plain,
fellow(sK8,sK1(sK8,sK7)),
inference(resolution,[],[f294,f279]) ).
fof(f279,plain,
! [X9] :
( ~ member(sK8,X9,sK7)
| fellow(sK8,X9) ),
inference(cnf_transformation,[],[f208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 04:53:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (22214)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.48 % (22209)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (22206)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (22209)Instruction limit reached!
% 0.20/0.49 % (22209)------------------------------
% 0.20/0.49 % (22209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (22209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (22209)Termination reason: Unknown
% 0.20/0.49 % (22209)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (22209)Memory used [KB]: 1535
% 0.20/0.49 % (22209)Time elapsed: 0.005 s
% 0.20/0.49 % (22209)Instructions burned: 3 (million)
% 0.20/0.49 % (22209)------------------------------
% 0.20/0.49 % (22209)------------------------------
% 0.20/0.50 % (22206)Instruction limit reached!
% 0.20/0.50 % (22206)------------------------------
% 0.20/0.50 % (22206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (22206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (22206)Termination reason: Unknown
% 0.20/0.50 % (22206)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (22206)Memory used [KB]: 6140
% 0.20/0.50 % (22206)Time elapsed: 0.086 s
% 0.20/0.50 % (22206)Instructions burned: 7 (million)
% 0.20/0.50 % (22206)------------------------------
% 0.20/0.50 % (22206)------------------------------
% 0.20/0.50 % (22198)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (22214)First to succeed.
% 0.20/0.51 % (22214)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (22214)------------------------------
% 0.20/0.51 % (22214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (22214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (22214)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (22214)Memory used [KB]: 1918
% 0.20/0.51 % (22214)Time elapsed: 0.088 s
% 0.20/0.51 % (22214)Instructions burned: 12 (million)
% 0.20/0.51 % (22214)------------------------------
% 0.20/0.51 % (22214)------------------------------
% 0.20/0.51 % (22185)Success in time 0.153 s
%------------------------------------------------------------------------------