TSTP Solution File: NLP001+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NLP001+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 : n016.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 17:54:49 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 179 ( 1 unt; 0 def)
% Number of atoms : 1087 ( 0 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 1465 ( 557 ~; 518 |; 347 &)
% ( 35 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 52 ( 51 usr; 38 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 152 ( 64 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f250,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f66,f71,f76,f81,f86,f95,f100,f105,f110,f115,f120,f125,f130,f135,f140,f145,f150,f155,f160,f161,f166,f167,f172,f177,f182,f187,f192,f198,f203,f214,f219,f226,f237,f242,f249]) ).
fof(f249,plain,
( ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_21
| ~ spl10_25
| ~ spl10_29
| ~ spl10_35 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| ~ spl10_1
| ~ spl10_6
| ~ spl10_8
| ~ spl10_21
| ~ spl10_25
| ~ spl10_29
| ~ spl10_35 ),
inference(subsumption_resolution,[],[f247,f85]) ).
fof(f85,plain,
( car(sK3)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl10_8
<=> car(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f247,plain,
( ~ car(sK3)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_21
| ~ spl10_25
| ~ spl10_29
| ~ spl10_35 ),
inference(subsumption_resolution,[],[f246,f52]) ).
fof(f52,plain,
( old(sK3)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl10_1
<=> old(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f246,plain,
( ~ old(sK3)
| ~ car(sK3)
| ~ spl10_6
| ~ spl10_21
| ~ spl10_25
| ~ spl10_29
| ~ spl10_35 ),
inference(subsumption_resolution,[],[f245,f191]) ).
fof(f191,plain,
( white(sK3)
| ~ spl10_29 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl10_29
<=> white(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).
fof(f245,plain,
( ~ white(sK3)
| ~ old(sK3)
| ~ car(sK3)
| ~ spl10_6
| ~ spl10_21
| ~ spl10_25
| ~ spl10_35 ),
inference(subsumption_resolution,[],[f244,f149]) ).
fof(f149,plain,
( chevy(sK3)
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl10_21
<=> chevy(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
fof(f244,plain,
( ~ chevy(sK3)
| ~ old(sK3)
| ~ car(sK3)
| ~ white(sK3)
| ~ spl10_6
| ~ spl10_25
| ~ spl10_35 ),
inference(subsumption_resolution,[],[f243,f171]) ).
fof(f171,plain,
( dirty(sK3)
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl10_25
<=> dirty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).
fof(f243,plain,
( ~ dirty(sK3)
| ~ car(sK3)
| ~ chevy(sK3)
| ~ white(sK3)
| ~ old(sK3)
| ~ spl10_6
| ~ spl10_35 ),
inference(resolution,[],[f236,f75]) ).
fof(f75,plain,
( barrel(sK4,sK3)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl10_6
<=> barrel(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f236,plain,
( ! [X0] :
( ~ barrel(sK4,X0)
| ~ chevy(X0)
| ~ old(X0)
| ~ white(X0)
| ~ car(X0)
| ~ dirty(X0) )
| ~ spl10_35 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl10_35
<=> ! [X0] :
( ~ white(X0)
| ~ car(X0)
| ~ dirty(X0)
| ~ chevy(X0)
| ~ barrel(sK4,X0)
| ~ old(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_35])]) ).
fof(f242,plain,
( ~ spl10_11
| ~ spl10_15
| ~ spl10_27
| ~ spl10_28
| ~ spl10_34 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| ~ spl10_11
| ~ spl10_15
| ~ spl10_27
| ~ spl10_28
| ~ spl10_34 ),
inference(subsumption_resolution,[],[f240,f186]) ).
fof(f186,plain,
( lonely(sK2)
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl10_28
<=> lonely(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
fof(f240,plain,
( ~ lonely(sK2)
| ~ spl10_11
| ~ spl10_15
| ~ spl10_27
| ~ spl10_34 ),
inference(subsumption_resolution,[],[f239,f119]) ).
fof(f119,plain,
( way(sK2)
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl10_15
<=> way(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f239,plain,
( ~ way(sK2)
| ~ lonely(sK2)
| ~ spl10_11
| ~ spl10_27
| ~ spl10_34 ),
inference(subsumption_resolution,[],[f238,f181]) ).
fof(f181,plain,
( street(sK2)
| ~ spl10_27 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl10_27
<=> street(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).
fof(f238,plain,
( ~ street(sK2)
| ~ way(sK2)
| ~ lonely(sK2)
| ~ spl10_11
| ~ spl10_34 ),
inference(resolution,[],[f233,f99]) ).
fof(f99,plain,
( down(sK4,sK2)
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl10_11
<=> down(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f233,plain,
( ! [X1] :
( ~ down(sK4,X1)
| ~ street(X1)
| ~ way(X1)
| ~ lonely(X1) )
| ~ spl10_34 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl10_34
<=> ! [X1] :
( ~ down(sK4,X1)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_34])]) ).
fof(f237,plain,
( spl10_34
| spl10_35
| ~ spl10_9
| ~ spl10_12
| ~ spl10_20
| ~ spl10_22
| ~ spl10_30 ),
inference(avatar_split_clause,[],[f230,f195,f152,f142,f102,f88,f235,f232]) ).
fof(f88,plain,
( spl10_9
<=> ! [X0,X3,X2,X1] :
( ~ lonely(X2)
| ~ car(X3)
| ~ city(X1)
| ~ street(X2)
| ~ way(X2)
| ~ chevy(X3)
| ~ white(X3)
| ~ hollywood(X1)
| ~ dirty(X3)
| ~ event(X0)
| ~ down(X0,X2)
| ~ in(X0,X1)
| ~ old(X3)
| ~ barrel(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f102,plain,
( spl10_12
<=> hollywood(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f142,plain,
( spl10_20
<=> city(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f152,plain,
( spl10_22
<=> event(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f195,plain,
( spl10_30
<=> in(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_30])]) ).
fof(f230,plain,
( ! [X0,X1] :
( ~ white(X0)
| ~ old(X0)
| ~ barrel(sK4,X0)
| ~ chevy(X0)
| ~ dirty(X0)
| ~ down(sK4,X1)
| ~ car(X0)
| ~ street(X1)
| ~ way(X1)
| ~ lonely(X1) )
| ~ spl10_9
| ~ spl10_12
| ~ spl10_20
| ~ spl10_22
| ~ spl10_30 ),
inference(subsumption_resolution,[],[f229,f144]) ).
fof(f144,plain,
( city(sK5)
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f229,plain,
( ! [X0,X1] :
( ~ way(X1)
| ~ white(X0)
| ~ street(X1)
| ~ car(X0)
| ~ city(sK5)
| ~ down(sK4,X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ lonely(X1)
| ~ chevy(X0)
| ~ barrel(sK4,X0) )
| ~ spl10_9
| ~ spl10_12
| ~ spl10_22
| ~ spl10_30 ),
inference(subsumption_resolution,[],[f228,f104]) ).
fof(f104,plain,
( hollywood(sK5)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f228,plain,
( ! [X0,X1] :
( ~ hollywood(sK5)
| ~ dirty(X0)
| ~ city(sK5)
| ~ white(X0)
| ~ chevy(X0)
| ~ old(X0)
| ~ down(sK4,X1)
| ~ way(X1)
| ~ car(X0)
| ~ street(X1)
| ~ barrel(sK4,X0)
| ~ lonely(X1) )
| ~ spl10_9
| ~ spl10_22
| ~ spl10_30 ),
inference(subsumption_resolution,[],[f227,f154]) ).
fof(f154,plain,
( event(sK4)
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f227,plain,
( ! [X0,X1] :
( ~ barrel(sK4,X0)
| ~ white(X0)
| ~ way(X1)
| ~ chevy(X0)
| ~ old(X0)
| ~ event(sK4)
| ~ down(sK4,X1)
| ~ dirty(X0)
| ~ street(X1)
| ~ city(sK5)
| ~ car(X0)
| ~ lonely(X1)
| ~ hollywood(sK5) )
| ~ spl10_9
| ~ spl10_30 ),
inference(resolution,[],[f197,f89]) ).
fof(f89,plain,
( ! [X2,X3,X0,X1] :
( ~ in(X0,X1)
| ~ dirty(X3)
| ~ event(X0)
| ~ street(X2)
| ~ barrel(X0,X3)
| ~ lonely(X2)
| ~ car(X3)
| ~ hollywood(X1)
| ~ white(X3)
| ~ chevy(X3)
| ~ old(X3)
| ~ city(X1)
| ~ way(X2)
| ~ down(X0,X2) )
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f197,plain,
( in(sK4,sK5)
| ~ spl10_30 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f226,plain,
( ~ spl10_5
| ~ spl10_10
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_23
| ~ spl10_33 ),
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| ~ spl10_5
| ~ spl10_10
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_23
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f224,f159]) ).
fof(f159,plain,
( old(sK8)
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl10_23
<=> old(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
fof(f224,plain,
( ~ old(sK8)
| ~ spl10_5
| ~ spl10_10
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f223,f70]) ).
fof(f70,plain,
( white(sK8)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl10_5
<=> white(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f223,plain,
( ~ white(sK8)
| ~ old(sK8)
| ~ spl10_10
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f222,f94]) ).
fof(f94,plain,
( car(sK8)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl10_10
<=> car(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f222,plain,
( ~ car(sK8)
| ~ white(sK8)
| ~ old(sK8)
| ~ spl10_17
| ~ spl10_18
| ~ spl10_19
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f221,f129]) ).
fof(f129,plain,
( chevy(sK8)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl10_17
<=> chevy(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f221,plain,
( ~ chevy(sK8)
| ~ car(sK8)
| ~ old(sK8)
| ~ white(sK8)
| ~ spl10_18
| ~ spl10_19
| ~ spl10_33 ),
inference(subsumption_resolution,[],[f220,f139]) ).
fof(f139,plain,
( dirty(sK8)
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl10_19
<=> dirty(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
fof(f220,plain,
( ~ dirty(sK8)
| ~ old(sK8)
| ~ white(sK8)
| ~ car(sK8)
| ~ chevy(sK8)
| ~ spl10_18
| ~ spl10_33 ),
inference(resolution,[],[f213,f134]) ).
fof(f134,plain,
( barrel(sK9,sK8)
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl10_18
<=> barrel(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f213,plain,
( ! [X0] :
( ~ barrel(sK9,X0)
| ~ chevy(X0)
| ~ car(X0)
| ~ old(X0)
| ~ white(X0)
| ~ dirty(X0) )
| ~ spl10_33 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl10_33
<=> ! [X0] :
( ~ old(X0)
| ~ car(X0)
| ~ white(X0)
| ~ dirty(X0)
| ~ chevy(X0)
| ~ barrel(sK9,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_33])]) ).
fof(f219,plain,
( ~ spl10_3
| ~ spl10_13
| ~ spl10_26
| ~ spl10_31
| ~ spl10_32 ),
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| ~ spl10_3
| ~ spl10_13
| ~ spl10_26
| ~ spl10_31
| ~ spl10_32 ),
inference(subsumption_resolution,[],[f217,f202]) ).
fof(f202,plain,
( way(sK7)
| ~ spl10_31 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl10_31
<=> way(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).
fof(f217,plain,
( ~ way(sK7)
| ~ spl10_3
| ~ spl10_13
| ~ spl10_26
| ~ spl10_32 ),
inference(subsumption_resolution,[],[f216,f176]) ).
fof(f176,plain,
( lonely(sK7)
| ~ spl10_26 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl10_26
<=> lonely(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).
fof(f216,plain,
( ~ lonely(sK7)
| ~ way(sK7)
| ~ spl10_3
| ~ spl10_13
| ~ spl10_32 ),
inference(subsumption_resolution,[],[f215,f109]) ).
fof(f109,plain,
( street(sK7)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl10_13
<=> street(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f215,plain,
( ~ street(sK7)
| ~ lonely(sK7)
| ~ way(sK7)
| ~ spl10_3
| ~ spl10_32 ),
inference(resolution,[],[f210,f61]) ).
fof(f61,plain,
( down(sK9,sK7)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl10_3
<=> down(sK9,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f210,plain,
( ! [X1] :
( ~ down(sK9,X1)
| ~ way(X1)
| ~ lonely(X1)
| ~ street(X1) )
| ~ spl10_32 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl10_32
<=> ! [X1] :
( ~ lonely(X1)
| ~ down(sK9,X1)
| ~ way(X1)
| ~ street(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_32])]) ).
fof(f214,plain,
( spl10_32
| spl10_33
| ~ spl10_7
| ~ spl10_9
| ~ spl10_14
| ~ spl10_16
| ~ spl10_24 ),
inference(avatar_split_clause,[],[f207,f163,f122,f112,f88,f78,f212,f209]) ).
fof(f78,plain,
( spl10_7
<=> in(sK9,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f112,plain,
( spl10_14
<=> event(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f122,plain,
( spl10_16
<=> city(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f163,plain,
( spl10_24
<=> hollywood(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
fof(f207,plain,
( ! [X0,X1] :
( ~ old(X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ barrel(sK9,X0)
| ~ chevy(X0)
| ~ down(sK9,X1)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl10_7
| ~ spl10_9
| ~ spl10_14
| ~ spl10_16
| ~ spl10_24 ),
inference(subsumption_resolution,[],[f206,f114]) ).
fof(f114,plain,
( event(sK9)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f206,plain,
( ! [X0,X1] :
( ~ lonely(X1)
| ~ barrel(sK9,X0)
| ~ way(X1)
| ~ dirty(X0)
| ~ car(X0)
| ~ event(sK9)
| ~ white(X0)
| ~ down(sK9,X1)
| ~ chevy(X0)
| ~ old(X0)
| ~ street(X1) )
| ~ spl10_7
| ~ spl10_9
| ~ spl10_16
| ~ spl10_24 ),
inference(subsumption_resolution,[],[f205,f124]) ).
fof(f124,plain,
( city(sK6)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f205,plain,
( ! [X0,X1] :
( ~ street(X1)
| ~ car(X0)
| ~ down(sK9,X1)
| ~ old(X0)
| ~ barrel(sK9,X0)
| ~ city(sK6)
| ~ white(X0)
| ~ chevy(X0)
| ~ way(X1)
| ~ lonely(X1)
| ~ event(sK9)
| ~ dirty(X0) )
| ~ spl10_7
| ~ spl10_9
| ~ spl10_24 ),
inference(subsumption_resolution,[],[f204,f165]) ).
fof(f165,plain,
( hollywood(sK6)
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f204,plain,
( ! [X0,X1] :
( ~ hollywood(sK6)
| ~ way(X1)
| ~ old(X0)
| ~ lonely(X1)
| ~ dirty(X0)
| ~ barrel(sK9,X0)
| ~ city(sK6)
| ~ chevy(X0)
| ~ car(X0)
| ~ event(sK9)
| ~ white(X0)
| ~ street(X1)
| ~ down(sK9,X1) )
| ~ spl10_7
| ~ spl10_9 ),
inference(resolution,[],[f89,f80]) ).
fof(f80,plain,
( in(sK9,sK6)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f203,plain,
( spl10_31
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f41,f63,f200]) ).
fof(f63,plain,
( spl10_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f41,plain,
( ~ sP0
| way(sK7) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( city(sK6)
& in(sK9,sK6)
& hollywood(sK6)
& way(sK7)
& dirty(sK8)
& street(sK7)
& lonely(sK7)
& old(sK8)
& car(sK8)
& down(sK9,sK7)
& white(sK8)
& barrel(sK9,sK8)
& chevy(sK8)
& event(sK9) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f13,f14]) ).
fof(f14,plain,
( ? [X0,X1,X2,X3] :
( city(X0)
& in(X3,X0)
& hollywood(X0)
& way(X1)
& dirty(X2)
& street(X1)
& lonely(X1)
& old(X2)
& car(X2)
& down(X3,X1)
& white(X2)
& barrel(X3,X2)
& chevy(X2)
& event(X3) )
=> ( city(sK6)
& in(sK9,sK6)
& hollywood(sK6)
& way(sK7)
& dirty(sK8)
& street(sK7)
& lonely(sK7)
& old(sK8)
& car(sK8)
& down(sK9,sK7)
& white(sK8)
& barrel(sK9,sK8)
& chevy(sK8)
& event(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X0,X1,X2,X3] :
( city(X0)
& in(X3,X0)
& hollywood(X0)
& way(X1)
& dirty(X2)
& street(X1)
& lonely(X1)
& old(X2)
& car(X2)
& down(X3,X1)
& white(X2)
& barrel(X3,X2)
& chevy(X2)
& event(X3) )
| ~ sP0 ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
( ? [X3,X2,X0,X1] :
( city(X3)
& in(X1,X3)
& hollywood(X3)
& way(X2)
& dirty(X0)
& street(X2)
& lonely(X2)
& old(X0)
& car(X0)
& down(X1,X2)
& white(X0)
& barrel(X1,X0)
& chevy(X0)
& event(X1) )
| ~ sP0 ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( ? [X3,X2,X0,X1] :
( city(X3)
& in(X1,X3)
& hollywood(X3)
& way(X2)
& dirty(X0)
& street(X2)
& lonely(X2)
& old(X0)
& car(X0)
& down(X1,X2)
& white(X0)
& barrel(X1,X0)
& chevy(X0)
& event(X1) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f198,plain,
( ~ spl10_2
| spl10_30 ),
inference(avatar_split_clause,[],[f20,f195,f54]) ).
fof(f54,plain,
( spl10_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f20,plain,
( in(sK4,sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( down(sK4,sK2)
& hollywood(sK5)
& street(sK2)
& car(sK3)
& barrel(sK4,sK3)
& dirty(sK3)
& way(sK2)
& white(sK3)
& chevy(sK3)
& lonely(sK2)
& in(sK4,sK5)
& city(sK5)
& event(sK4)
& old(sK3) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f9,f10]) ).
fof(f10,plain,
( ? [X0,X1,X2,X3] :
( down(X2,X0)
& hollywood(X3)
& street(X0)
& car(X1)
& barrel(X2,X1)
& dirty(X1)
& way(X0)
& white(X1)
& chevy(X1)
& lonely(X0)
& in(X2,X3)
& city(X3)
& event(X2)
& old(X1) )
=> ( down(sK4,sK2)
& hollywood(sK5)
& street(sK2)
& car(sK3)
& barrel(sK4,sK3)
& dirty(sK3)
& way(sK2)
& white(sK3)
& chevy(sK3)
& lonely(sK2)
& in(sK4,sK5)
& city(sK5)
& event(sK4)
& old(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ? [X0,X1,X2,X3] :
( down(X2,X0)
& hollywood(X3)
& street(X0)
& car(X1)
& barrel(X2,X1)
& dirty(X1)
& way(X0)
& white(X1)
& chevy(X1)
& lonely(X0)
& in(X2,X3)
& city(X3)
& event(X2)
& old(X1) )
| ~ sP1 ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
( ? [X10,X9,X11,X8] :
( down(X11,X10)
& hollywood(X8)
& street(X10)
& car(X9)
& barrel(X11,X9)
& dirty(X9)
& way(X10)
& white(X9)
& chevy(X9)
& lonely(X10)
& in(X11,X8)
& city(X8)
& event(X11)
& old(X9) )
| ~ sP1 ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ? [X10,X9,X11,X8] :
( down(X11,X10)
& hollywood(X8)
& street(X10)
& car(X9)
& barrel(X11,X9)
& dirty(X9)
& way(X10)
& white(X9)
& chevy(X9)
& lonely(X10)
& in(X11,X8)
& city(X8)
& event(X11)
& old(X9) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f192,plain,
( ~ spl10_2
| spl10_29 ),
inference(avatar_split_clause,[],[f23,f189,f54]) ).
fof(f23,plain,
( white(sK3)
| ~ sP1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f187,plain,
( spl10_28
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f21,f54,f184]) ).
fof(f21,plain,
( ~ sP1
| lonely(sK2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f182,plain,
( spl10_27
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f28,f54,f179]) ).
fof(f28,plain,
( ~ sP1
| street(sK2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f177,plain,
( spl10_26
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f38,f63,f174]) ).
fof(f38,plain,
( ~ sP0
| lonely(sK7) ),
inference(cnf_transformation,[],[f15]) ).
fof(f172,plain,
( spl10_25
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f25,f54,f169]) ).
fof(f25,plain,
( ~ sP1
| dirty(sK3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f167,plain,
( spl10_2
| spl10_4 ),
inference(avatar_split_clause,[],[f47,f63,f54]) ).
fof(f47,plain,
( sP0
| sP1 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( sP1
& ! [X0,X1,X2,X3] :
( ~ chevy(X3)
| ~ barrel(X0,X3)
| ~ car(X3)
| ~ old(X3)
| ~ in(X0,X1)
| ~ dirty(X3)
| ~ way(X2)
| ~ city(X1)
| ~ white(X3)
| ~ event(X0)
| ~ lonely(X2)
| ~ down(X0,X2)
| ~ hollywood(X1)
| ~ street(X2) ) )
| ( ! [X4,X5,X6,X7] :
( ~ barrel(X4,X6)
| ~ city(X7)
| ~ street(X5)
| ~ old(X6)
| ~ lonely(X5)
| ~ down(X4,X5)
| ~ dirty(X6)
| ~ chevy(X6)
| ~ car(X6)
| ~ hollywood(X7)
| ~ white(X6)
| ~ way(X5)
| ~ in(X4,X7)
| ~ event(X4) )
& sP0 ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
( ( sP1
& ! [X14,X12,X15,X13] :
( ~ chevy(X13)
| ~ barrel(X14,X13)
| ~ car(X13)
| ~ old(X13)
| ~ in(X14,X12)
| ~ dirty(X13)
| ~ way(X15)
| ~ city(X12)
| ~ white(X13)
| ~ event(X14)
| ~ lonely(X15)
| ~ down(X14,X15)
| ~ hollywood(X12)
| ~ street(X15) ) )
| ( ! [X7,X5,X6,X4] :
( ~ barrel(X7,X6)
| ~ city(X4)
| ~ street(X5)
| ~ old(X6)
| ~ lonely(X5)
| ~ down(X7,X5)
| ~ dirty(X6)
| ~ chevy(X6)
| ~ car(X6)
| ~ hollywood(X4)
| ~ white(X6)
| ~ way(X5)
| ~ in(X7,X4)
| ~ event(X7) )
& sP0 ) ),
inference(definition_folding,[],[f4,f6,f5]) ).
fof(f4,plain,
( ( ? [X10,X9,X11,X8] :
( down(X11,X10)
& hollywood(X8)
& street(X10)
& car(X9)
& barrel(X11,X9)
& dirty(X9)
& way(X10)
& white(X9)
& chevy(X9)
& lonely(X10)
& in(X11,X8)
& city(X8)
& event(X11)
& old(X9) )
& ! [X14,X12,X15,X13] :
( ~ chevy(X13)
| ~ barrel(X14,X13)
| ~ car(X13)
| ~ old(X13)
| ~ in(X14,X12)
| ~ dirty(X13)
| ~ way(X15)
| ~ city(X12)
| ~ white(X13)
| ~ event(X14)
| ~ lonely(X15)
| ~ down(X14,X15)
| ~ hollywood(X12)
| ~ street(X15) ) )
| ( ! [X7,X5,X6,X4] :
( ~ barrel(X7,X6)
| ~ city(X4)
| ~ street(X5)
| ~ old(X6)
| ~ lonely(X5)
| ~ down(X7,X5)
| ~ dirty(X6)
| ~ chevy(X6)
| ~ car(X6)
| ~ hollywood(X4)
| ~ white(X6)
| ~ way(X5)
| ~ in(X7,X4)
| ~ event(X7) )
& ? [X3,X2,X0,X1] :
( city(X3)
& in(X1,X3)
& hollywood(X3)
& way(X2)
& dirty(X0)
& street(X2)
& lonely(X2)
& old(X0)
& car(X0)
& down(X1,X2)
& white(X0)
& barrel(X1,X0)
& chevy(X0)
& event(X1) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ? [X10,X9,X11,X8] :
( down(X11,X10)
& hollywood(X8)
& street(X10)
& car(X9)
& barrel(X11,X9)
& dirty(X9)
& way(X10)
& white(X9)
& chevy(X9)
& lonely(X10)
& in(X11,X8)
& city(X8)
& event(X11)
& old(X9) )
=> ? [X12,X14,X15,X13] :
( barrel(X14,X13)
& chevy(X13)
& city(X12)
& down(X14,X15)
& car(X13)
& dirty(X13)
& in(X14,X12)
& white(X13)
& way(X15)
& event(X14)
& lonely(X15)
& old(X13)
& street(X15)
& hollywood(X12) ) )
& ( ? [X3,X2,X0,X1] :
( city(X3)
& in(X1,X3)
& hollywood(X3)
& way(X2)
& dirty(X0)
& street(X2)
& lonely(X2)
& old(X0)
& car(X0)
& down(X1,X2)
& white(X0)
& barrel(X1,X0)
& chevy(X0)
& event(X1) )
=> ? [X5,X6,X7,X4] :
( barrel(X7,X6)
& city(X4)
& lonely(X5)
& hollywood(X4)
& old(X6)
& event(X7)
& white(X6)
& street(X5)
& in(X7,X4)
& car(X6)
& chevy(X6)
& dirty(X6)
& way(X5)
& down(X7,X5) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ? [X3,X1,X2,X0] :
( chevy(X3)
& way(X2)
& lonely(X2)
& dirty(X3)
& white(X3)
& old(X3)
& city(X0)
& street(X2)
& in(X1,X0)
& car(X3)
& down(X1,X2)
& hollywood(X0)
& barrel(X1,X3)
& event(X1) )
=> ? [X4,X7,X6,X5] :
( down(X5,X7)
& chevy(X6)
& way(X7)
& dirty(X6)
& white(X6)
& street(X7)
& barrel(X5,X6)
& hollywood(X4)
& in(X5,X4)
& lonely(X7)
& city(X4)
& old(X6)
& event(X5)
& car(X6) ) )
& ( ? [X8,X10,X11,X9] :
( barrel(X9,X10)
& dirty(X10)
& in(X9,X8)
& lonely(X11)
& hollywood(X8)
& old(X10)
& white(X10)
& chevy(X10)
& car(X10)
& way(X11)
& event(X9)
& city(X8)
& street(X11)
& down(X9,X11) )
=> ? [X12,X15,X13,X14] :
( old(X15)
& white(X15)
& event(X13)
& down(X13,X14)
& chevy(X15)
& car(X15)
& hollywood(X12)
& lonely(X14)
& barrel(X13,X15)
& in(X13,X12)
& dirty(X15)
& street(X14)
& way(X14)
& city(X12) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ? [X3,X1,X2,X0] :
( chevy(X3)
& way(X2)
& lonely(X2)
& dirty(X3)
& white(X3)
& old(X3)
& city(X0)
& street(X2)
& in(X1,X0)
& car(X3)
& down(X1,X2)
& hollywood(X0)
& barrel(X1,X3)
& event(X1) )
=> ? [X4,X7,X6,X5] :
( down(X5,X7)
& chevy(X6)
& way(X7)
& dirty(X6)
& white(X6)
& street(X7)
& barrel(X5,X6)
& hollywood(X4)
& in(X5,X4)
& lonely(X7)
& city(X4)
& old(X6)
& event(X5)
& car(X6) ) )
& ( ? [X8,X10,X11,X9] :
( barrel(X9,X10)
& dirty(X10)
& in(X9,X8)
& lonely(X11)
& hollywood(X8)
& old(X10)
& white(X10)
& chevy(X10)
& car(X10)
& way(X11)
& event(X9)
& city(X8)
& street(X11)
& down(X9,X11) )
=> ? [X12,X15,X13,X14] :
( old(X15)
& white(X15)
& event(X13)
& down(X13,X14)
& chevy(X15)
& car(X15)
& hollywood(X12)
& lonely(X14)
& barrel(X13,X15)
& in(X13,X12)
& dirty(X15)
& street(X14)
& way(X14)
& city(X12) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f166,plain,
( ~ spl10_4
| spl10_24 ),
inference(avatar_split_clause,[],[f42,f163,f63]) ).
fof(f42,plain,
( hollywood(sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f161,plain,
( spl10_9
| spl10_9 ),
inference(avatar_split_clause,[],[f46,f88,f88]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ barrel(X4,X6)
| ~ old(X3)
| ~ in(X0,X1)
| ~ hollywood(X7)
| ~ old(X6)
| ~ street(X5)
| ~ city(X7)
| ~ barrel(X0,X3)
| ~ car(X6)
| ~ car(X3)
| ~ white(X3)
| ~ down(X4,X5)
| ~ dirty(X3)
| ~ lonely(X2)
| ~ chevy(X3)
| ~ street(X2)
| ~ white(X6)
| ~ event(X4)
| ~ down(X0,X2)
| ~ event(X0)
| ~ in(X4,X7)
| ~ lonely(X5)
| ~ way(X2)
| ~ city(X1)
| ~ way(X5)
| ~ dirty(X6)
| ~ hollywood(X1)
| ~ chevy(X6) ),
inference(cnf_transformation,[],[f16]) ).
fof(f160,plain,
( spl10_23
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f37,f63,f157]) ).
fof(f37,plain,
( ~ sP0
| old(sK8) ),
inference(cnf_transformation,[],[f15]) ).
fof(f155,plain,
( spl10_22
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f18,f54,f152]) ).
fof(f18,plain,
( ~ sP1
| event(sK4) ),
inference(cnf_transformation,[],[f11]) ).
fof(f150,plain,
( spl10_21
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f22,f54,f147]) ).
fof(f22,plain,
( ~ sP1
| chevy(sK3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f145,plain,
( ~ spl10_2
| spl10_20 ),
inference(avatar_split_clause,[],[f19,f142,f54]) ).
fof(f19,plain,
( city(sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f140,plain,
( spl10_19
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f40,f63,f137]) ).
fof(f40,plain,
( ~ sP0
| dirty(sK8) ),
inference(cnf_transformation,[],[f15]) ).
fof(f135,plain,
( ~ spl10_4
| spl10_18 ),
inference(avatar_split_clause,[],[f33,f132,f63]) ).
fof(f33,plain,
( barrel(sK9,sK8)
| ~ sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f130,plain,
( spl10_17
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f32,f63,f127]) ).
fof(f32,plain,
( ~ sP0
| chevy(sK8) ),
inference(cnf_transformation,[],[f15]) ).
fof(f125,plain,
( ~ spl10_4
| spl10_16 ),
inference(avatar_split_clause,[],[f44,f122,f63]) ).
fof(f44,plain,
( city(sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f120,plain,
( ~ spl10_2
| spl10_15 ),
inference(avatar_split_clause,[],[f24,f117,f54]) ).
fof(f24,plain,
( way(sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f115,plain,
( ~ spl10_4
| spl10_14 ),
inference(avatar_split_clause,[],[f31,f112,f63]) ).
fof(f31,plain,
( event(sK9)
| ~ sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f110,plain,
( spl10_13
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f39,f63,f107]) ).
fof(f39,plain,
( ~ sP0
| street(sK7) ),
inference(cnf_transformation,[],[f15]) ).
fof(f105,plain,
( ~ spl10_2
| spl10_12 ),
inference(avatar_split_clause,[],[f29,f102,f54]) ).
fof(f29,plain,
( hollywood(sK5)
| ~ sP1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f100,plain,
( spl10_11
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f30,f54,f97]) ).
fof(f30,plain,
( ~ sP1
| down(sK4,sK2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f95,plain,
( spl10_10
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f36,f63,f92]) ).
fof(f36,plain,
( ~ sP0
| car(sK8) ),
inference(cnf_transformation,[],[f15]) ).
fof(f86,plain,
( spl10_8
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f27,f54,f83]) ).
fof(f27,plain,
( ~ sP1
| car(sK3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f81,plain,
( spl10_7
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f43,f63,f78]) ).
fof(f43,plain,
( ~ sP0
| in(sK9,sK6) ),
inference(cnf_transformation,[],[f15]) ).
fof(f76,plain,
( spl10_6
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f26,f54,f73]) ).
fof(f26,plain,
( ~ sP1
| barrel(sK4,sK3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f71,plain,
( spl10_5
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f34,f63,f68]) ).
fof(f34,plain,
( ~ sP0
| white(sK8) ),
inference(cnf_transformation,[],[f15]) ).
fof(f66,plain,
( spl10_3
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f35,f63,f59]) ).
fof(f35,plain,
( ~ sP0
| down(sK9,sK7) ),
inference(cnf_transformation,[],[f15]) ).
fof(f57,plain,
( spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f17,f54,f50]) ).
fof(f17,plain,
( ~ sP1
| old(sK3) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NLP001+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
% 0.13/0.34 % Computer : n016.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 04:01:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (11151)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (11144)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)
% 0.20/0.49 % (11151)First to succeed.
% 0.20/0.49 % (11167)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)
% 0.20/0.49 % (11151)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (11151)------------------------------
% 0.20/0.49 % (11151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11151)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (11151)Memory used [KB]: 5628
% 0.20/0.49 % (11151)Time elapsed: 0.091 s
% 0.20/0.49 % (11151)Instructions burned: 3 (million)
% 0.20/0.49 % (11151)------------------------------
% 0.20/0.49 % (11151)------------------------------
% 0.20/0.49 % (11143)Success in time 0.147 s
%------------------------------------------------------------------------------