TSTP Solution File: NLP147+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NLP147+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_sat --cores 0 -t %d %s
% Computer : n008.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 17:55:43 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 90 ( 15 unt; 0 def)
% Number of atoms : 580 ( 51 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 582 ( 92 ~; 77 |; 364 &)
% ( 3 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 310 ( 169 !; 141 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f482,plain,
$false,
inference(subsumption_resolution,[],[f471,f367]) ).
fof(f367,plain,
~ unisex(sK5,sK1(sK5,sK4)),
inference(resolution,[],[f365,f259]) ).
fof(f259,plain,
! [X0,X1] :
( ~ male(X0,X1)
| ~ unisex(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ~ unisex(X0,X1)
| ~ male(X0,X1) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X1,X0] :
( ~ unisex(X1,X0)
| ~ male(X1,X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( unisex(X1,X0)
=> ~ male(X1,X0) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X1,X0] :
( unisex(X0,X1)
=> ~ male(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
fof(f365,plain,
male(sK5,sK1(sK5,sK4)),
inference(resolution,[],[f364,f258]) ).
fof(f258,plain,
! [X0,X1] :
( ~ man(X0,X1)
| male(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( male(X0,X1)
| ~ man(X0,X1) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X1,X0] :
( male(X1,X0)
| ~ man(X1,X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( man(X1,X0)
=> male(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X1,X0] :
( man(X0,X1)
=> male(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f364,plain,
man(sK5,sK1(sK5,sK4)),
inference(resolution,[],[f362,f269]) ).
fof(f269,plain,
! [X0,X1] :
( ~ fellow(X1,X0)
| man(X1,X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( man(X1,X0)
| ~ fellow(X1,X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,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/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(f362,plain,
fellow(sK5,sK1(sK5,sK4)),
inference(subsumption_resolution,[],[f358,f278]) ).
fof(f278,plain,
two(sK5,sK4),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( ! [X6] :
( ( fellow(sK5,X6)
& young(sK5,X6) )
| ~ member(sK5,X6,sK4) )
& old(sK5,sK6)
& of(sK5,sK7,sK6)
& chevy(sK5,sK6)
& street(sK5,sK8)
& event(sK5,sK3)
& hollywood_placename(sK5,sK7)
& ! [X7] :
( ( be(sK5,sK10(X7),X7,sK9(X7))
& state(sK5,sK10(X7))
& frontseat(sK5,sK9(X7)) )
| ~ member(sK5,X7,sK4) )
& placename(sK5,sK7)
& barrel(sK5,sK3)
& city(sK5,sK6)
& two(sK5,sK4)
& group(sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f211,f213,f212]) ).
fof(f212,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ! [X6] :
( ( fellow(X2,X6)
& young(X2,X6) )
| ~ member(X2,X6,X1) )
& old(X2,X3)
& of(X2,X4,X3)
& chevy(X2,X3)
& street(X2,X5)
& event(X2,X0)
& hollywood_placename(X2,X4)
& ! [X7] :
( ? [X8,X9] :
( be(X2,X9,X7,X8)
& state(X2,X9)
& frontseat(X2,X8) )
| ~ member(X2,X7,X1) )
& placename(X2,X4)
& barrel(X2,X0)
& city(X2,X3)
& two(X2,X1)
& group(X2,X1) )
=> ( ! [X6] :
( ( fellow(sK5,X6)
& young(sK5,X6) )
| ~ member(sK5,X6,sK4) )
& old(sK5,sK6)
& of(sK5,sK7,sK6)
& chevy(sK5,sK6)
& street(sK5,sK8)
& event(sK5,sK3)
& hollywood_placename(sK5,sK7)
& ! [X7] :
( ? [X9,X8] :
( be(sK5,X9,X7,X8)
& state(sK5,X9)
& frontseat(sK5,X8) )
| ~ member(sK5,X7,sK4) )
& placename(sK5,sK7)
& barrel(sK5,sK3)
& city(sK5,sK6)
& two(sK5,sK4)
& group(sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X7] :
( ? [X9,X8] :
( be(sK5,X9,X7,X8)
& state(sK5,X9)
& frontseat(sK5,X8) )
=> ( be(sK5,sK10(X7),X7,sK9(X7))
& state(sK5,sK10(X7))
& frontseat(sK5,sK9(X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
? [X0,X1,X2,X3,X4,X5] :
( ! [X6] :
( ( fellow(X2,X6)
& young(X2,X6) )
| ~ member(X2,X6,X1) )
& old(X2,X3)
& of(X2,X4,X3)
& chevy(X2,X3)
& street(X2,X5)
& event(X2,X0)
& hollywood_placename(X2,X4)
& ! [X7] :
( ? [X8,X9] :
( be(X2,X9,X7,X8)
& state(X2,X9)
& frontseat(X2,X8) )
| ~ member(X2,X7,X1) )
& placename(X2,X4)
& barrel(X2,X0)
& city(X2,X3)
& two(X2,X1)
& group(X2,X1) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
? [X2,X1,X0,X3,X5,X4] :
( ! [X9] :
( ( fellow(X0,X9)
& young(X0,X9) )
| ~ member(X0,X9,X1) )
& old(X0,X3)
& of(X0,X5,X3)
& chevy(X0,X3)
& street(X0,X4)
& event(X0,X2)
& hollywood_placename(X0,X5)
& ! [X6] :
( ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) )
| ~ member(X0,X6,X1) )
& placename(X0,X5)
& barrel(X0,X2)
& city(X0,X3)
& two(X0,X1)
& group(X0,X1) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
? [X0,X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) ) )
& two(X0,X1)
& hollywood_placename(X0,X5)
& event(X0,X2) ),
inference(pure_predicate_removal,[],[f110]) ).
fof(f110,plain,
? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) ) )
& two(X0,X1)
& hollywood_placename(X0,X5)
& event(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f109]) ).
fof(f109,plain,
? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& lonely(X0,X4)
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) ) )
& two(X0,X1)
& hollywood_placename(X0,X5)
& event(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f108]) ).
fof(f108,plain,
? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& lonely(X0,X4)
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) ) )
& two(X0,X1)
& white(X0,X3)
& hollywood_placename(X0,X5)
& event(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f107]) ).
fof(f107,plain,
? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& lonely(X0,X4)
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& dirty(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) ) )
& two(X0,X1)
& white(X0,X3)
& hollywood_placename(X0,X5)
& event(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f106]) ).
fof(f106,plain,
? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& lonely(X0,X4)
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& dirty(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) ) )
& two(X0,X1)
& white(X0,X3)
& hollywood_placename(X0,X5)
& agent(X0,X2,X3)
& event(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f105]) ).
fof(f105,plain,
? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& lonely(X0,X4)
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& dirty(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) ) )
& two(X0,X1)
& white(X0,X3)
& hollywood_placename(X0,X5)
& agent(X0,X2,X3)
& event(X0,X2)
& present(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f104]) ).
fof(f104,plain,
? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& lonely(X0,X4)
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& dirty(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( be(X0,X8,X6,X7)
& state(X0,X8)
& frontseat(X0,X7) ) )
& two(X0,X1)
& white(X0,X3)
& down(X0,X2,X4)
& hollywood_placename(X0,X5)
& agent(X0,X2,X3)
& event(X0,X2)
& present(X0,X2) )
& actual_world(X0) ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f97,plain,
? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& lonely(X0,X4)
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& dirty(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( state(X0,X8)
& in(X0,X7,X7)
& be(X0,X8,X6,X7)
& frontseat(X0,X7) ) )
& two(X0,X1)
& in(X0,X2,X3)
& white(X0,X3)
& down(X0,X2,X4)
& hollywood_placename(X0,X5)
& agent(X0,X2,X3)
& event(X0,X2)
& present(X0,X2) )
& actual_world(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
~ ~ ? [X0] :
( ? [X3,X2,X5,X1,X4] :
( barrel(X0,X2)
& ! [X9] :
( member(X0,X9,X1)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& lonely(X0,X4)
& street(X0,X4)
& of(X0,X5,X3)
& chevy(X0,X3)
& group(X0,X1)
& placename(X0,X5)
& old(X0,X3)
& dirty(X0,X3)
& city(X0,X3)
& ! [X6] :
( member(X0,X6,X1)
=> ? [X7,X8] :
( state(X0,X8)
& in(X0,X7,X7)
& be(X0,X8,X6,X7)
& frontseat(X0,X7) ) )
& two(X0,X1)
& in(X0,X2,X3)
& white(X0,X3)
& down(X0,X2,X4)
& hollywood_placename(X0,X5)
& agent(X0,X2,X3)
& event(X0,X2)
& present(X0,X2) )
& actual_world(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,negated_conjecture,
~ ~ ? [X0] :
( ? [X5,X4,X3,X1,X2] :
( of(X0,X2,X3)
& event(X0,X4)
& white(X0,X3)
& chevy(X0,X3)
& street(X0,X1)
& ! [X6] :
( member(X0,X6,X5)
=> ? [X8,X7] :
( be(X0,X7,X6,X8)
& frontseat(X0,X8)
& in(X0,X8,X8)
& state(X0,X7) ) )
& group(X0,X5)
& city(X0,X3)
& in(X0,X4,X3)
& old(X0,X3)
& two(X0,X5)
& agent(X0,X4,X3)
& hollywood_placename(X0,X2)
& ! [X9] :
( member(X0,X9,X5)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& down(X0,X4,X1)
& present(X0,X4)
& lonely(X0,X1)
& placename(X0,X2)
& barrel(X0,X4)
& dirty(X0,X3) )
& actual_world(X0) ),
inference(negated_conjecture,[],[f62]) ).
fof(f62,conjecture,
~ ? [X0] :
( ? [X5,X4,X3,X1,X2] :
( of(X0,X2,X3)
& event(X0,X4)
& white(X0,X3)
& chevy(X0,X3)
& street(X0,X1)
& ! [X6] :
( member(X0,X6,X5)
=> ? [X8,X7] :
( be(X0,X7,X6,X8)
& frontseat(X0,X8)
& in(X0,X8,X8)
& state(X0,X7) ) )
& group(X0,X5)
& city(X0,X3)
& in(X0,X4,X3)
& old(X0,X3)
& two(X0,X5)
& agent(X0,X4,X3)
& hollywood_placename(X0,X2)
& ! [X9] :
( member(X0,X9,X5)
=> ( fellow(X0,X9)
& young(X0,X9) ) )
& down(X0,X4,X1)
& present(X0,X4)
& lonely(X0,X1)
& placename(X0,X2)
& barrel(X0,X4)
& dirty(X0,X3) )
& actual_world(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f358,plain,
( fellow(sK5,sK1(sK5,sK4))
| ~ two(sK5,sK4) ),
inference(resolution,[],[f251,f292]) ).
fof(f292,plain,
! [X6] :
( ~ member(sK5,X6,sK4)
| fellow(sK5,X6) ),
inference(cnf_transformation,[],[f214]) ).
fof(f251,plain,
! [X0,X1] :
( member(X0,sK1(X0,X1),X1)
| ~ two(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( ( member(X0,sK0(X0,X1),X1)
& sK1(X0,X1) != sK0(X0,X1)
& ! [X4] :
( ~ member(X0,X4,X1)
| sK1(X0,X1) = X4
| sK0(X0,X1) = X4 )
& member(X0,sK1(X0,X1),X1) )
| ~ two(X0,X1) )
& ( two(X0,X1)
| ! [X5] :
( ~ member(X0,X5,X1)
| ! [X6] :
( X5 = X6
| ( member(X0,sK2(X0,X1,X5,X6),X1)
& sK2(X0,X1,X5,X6) != X6
& sK2(X0,X1,X5,X6) != X5 )
| ~ member(X0,X6,X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f194,f197,f196,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X2] :
( member(X0,X2,X1)
& ? [X3] :
( X2 != X3
& ! [X4] :
( ~ member(X0,X4,X1)
| X3 = X4
| X2 = X4 )
& member(X0,X3,X1) ) )
=> ( member(X0,sK0(X0,X1),X1)
& ? [X3] :
( sK0(X0,X1) != X3
& ! [X4] :
( ~ member(X0,X4,X1)
| X3 = X4
| sK0(X0,X1) = X4 )
& member(X0,X3,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0,X1] :
( ? [X3] :
( sK0(X0,X1) != X3
& ! [X4] :
( ~ member(X0,X4,X1)
| X3 = X4
| sK0(X0,X1) = X4 )
& member(X0,X3,X1) )
=> ( sK1(X0,X1) != sK0(X0,X1)
& ! [X4] :
( ~ member(X0,X4,X1)
| sK1(X0,X1) = X4
| sK0(X0,X1) = X4 )
& member(X0,sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0,X1,X5,X6] :
( ? [X7] :
( member(X0,X7,X1)
& X6 != X7
& X5 != X7 )
=> ( member(X0,sK2(X0,X1,X5,X6),X1)
& sK2(X0,X1,X5,X6) != X6
& sK2(X0,X1,X5,X6) != X5 ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X0,X2,X1)
& ? [X3] :
( X2 != X3
& ! [X4] :
( ~ member(X0,X4,X1)
| X3 = X4
| X2 = X4 )
& member(X0,X3,X1) ) )
| ~ two(X0,X1) )
& ( two(X0,X1)
| ! [X5] :
( ~ member(X0,X5,X1)
| ! [X6] :
( X5 = X6
| ? [X7] :
( member(X0,X7,X1)
& X6 != X7
& X5 != X7 )
| ~ member(X0,X6,X1) ) ) ) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X0,X2,X1)
& ? [X3] :
( X2 != X3
& ! [X4] :
( ~ member(X0,X4,X1)
| X3 = X4
| X2 = X4 )
& member(X0,X3,X1) ) )
| ~ two(X0,X1) )
& ( two(X0,X1)
| ! [X2] :
( ~ member(X0,X2,X1)
| ! [X3] :
( X2 = X3
| ? [X4] :
( member(X0,X4,X1)
& X3 != X4
& X2 != X4 )
| ~ member(X0,X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ? [X2] :
( member(X0,X2,X1)
& ? [X3] :
( X2 != X3
& ! [X4] :
( ~ member(X0,X4,X1)
| X3 = X4
| X2 = X4 )
& member(X0,X3,X1) ) )
<=> two(X0,X1) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ? [X2] :
( member(X0,X2,X1)
& ? [X3] :
( X2 != X3
& member(X0,X3,X1)
& ! [X4] :
( X3 = X4
| X2 = X4
| ~ member(X0,X4,X1) ) ) )
<=> two(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
( ? [X2] :
( member(X0,X2,X1)
& ? [X3] :
( X2 != X3
& member(X0,X3,X1)
& ! [X4] :
( member(X0,X4,X1)
=> ( X3 = X4
| X2 = X4 ) ) ) )
<=> two(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f471,plain,
unisex(sK5,sK1(sK5,sK4)),
inference(superposition,[],[f398,f463]) ).
fof(f463,plain,
sK9(sK1(sK5,sK4)) = sK1(sK5,sK4),
inference(subsumption_resolution,[],[f461,f278]) ).
fof(f461,plain,
( ~ two(sK5,sK4)
| sK9(sK1(sK5,sK4)) = sK1(sK5,sK4) ),
inference(resolution,[],[f456,f251]) ).
fof(f456,plain,
! [X0] :
( ~ member(sK5,X0,sK4)
| sK9(X0) = X0 ),
inference(resolution,[],[f284,f273]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ be(X0,X2,X3,X1)
| X1 = X3 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ be(X0,X2,X3,X1) ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
! [X1,X2,X0,X3] :
( X2 = X3
| ~ be(X1,X0,X3,X2) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X3,X2,X0] :
( be(X1,X0,X3,X2)
=> X2 = X3 ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X1,X0,X3,X2] :
( be(X0,X1,X2,X3)
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(f284,plain,
! [X7] :
( be(sK5,sK10(X7),X7,sK9(X7))
| ~ member(sK5,X7,sK4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f398,plain,
unisex(sK5,sK9(sK1(sK5,sK4))),
inference(resolution,[],[f397,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ object(X0,X1)
| unisex(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( unisex(X0,X1)
| ~ object(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( object(X0,X1)
=> unisex(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f397,plain,
object(sK5,sK9(sK1(sK5,sK4))),
inference(resolution,[],[f395,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ~ artifact(X1,X0)
| object(X1,X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( object(X1,X0)
| ~ artifact(X1,X0) ),
inference(rectify,[],[f125]) ).
fof(f125,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/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f395,plain,
artifact(sK5,sK9(sK1(sK5,sK4))),
inference(resolution,[],[f392,f260]) ).
fof(f260,plain,
! [X0,X1] :
( ~ instrumentality(X1,X0)
| artifact(X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( artifact(X1,X0)
| ~ instrumentality(X1,X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,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/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f392,plain,
instrumentality(sK5,sK9(sK1(sK5,sK4))),
inference(resolution,[],[f386,f296]) ).
fof(f296,plain,
! [X0,X1] :
( ~ furniture(X0,X1)
| instrumentality(X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( instrumentality(X0,X1)
| ~ furniture(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( furniture(X0,X1)
=> instrumentality(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f386,plain,
furniture(sK5,sK9(sK1(sK5,sK4))),
inference(resolution,[],[f383,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ seat(X1,X0)
| furniture(X1,X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ seat(X1,X0)
| furniture(X1,X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f383,plain,
seat(sK5,sK9(sK1(sK5,sK4))),
inference(resolution,[],[f361,f261]) ).
fof(f261,plain,
! [X0,X1] :
( ~ frontseat(X1,X0)
| seat(X1,X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ~ frontseat(X1,X0)
| seat(X1,X0) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X1,X0] :
( ~ frontseat(X0,X1)
| seat(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( frontseat(X0,X1)
=> seat(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f361,plain,
frontseat(sK5,sK9(sK1(sK5,sK4))),
inference(subsumption_resolution,[],[f357,f278]) ).
fof(f357,plain,
( frontseat(sK5,sK9(sK1(sK5,sK4)))
| ~ two(sK5,sK4) ),
inference(resolution,[],[f251,f282]) ).
fof(f282,plain,
! [X7] :
( ~ member(sK5,X7,sK4)
| frontseat(sK5,sK9(X7)) ),
inference(cnf_transformation,[],[f214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NLP147+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 04:45:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (21990)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49 % (21981)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (21996)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (21982)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (21998)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50 % (21991)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (21995)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (22000)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (21988)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (22004)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (21978)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (21992)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (21990)First to succeed.
% 0.19/0.51 % (21987)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (21979)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (22006)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (22003)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (21984)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (21980)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (22001)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (22005)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (21983)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (21993)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (21996)Also succeeded, but the first one will report.
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (21990)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (21990)------------------------------
% 0.19/0.53 % (21990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (21990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (21990)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (21990)Memory used [KB]: 5884
% 0.19/0.53 % (21990)Time elapsed: 0.119 s
% 0.19/0.53 % (21990)Instructions burned: 9 (million)
% 0.19/0.53 % (21990)------------------------------
% 0.19/0.53 % (21990)------------------------------
% 0.19/0.53 % (21977)Success in time 0.184 s
%------------------------------------------------------------------------------