%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NLP001+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:08:20 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 196 ( 5 unt; 20 def)
% Number of atoms : 877 ( 0 equ)
% Maximal formula atoms : 56 ( 4 avg)
% Number of connectives : 1158 ( 477 ~; 523 |; 134 &)
% ( 20 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 21 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 338 ( 0 sgn 298 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X0,X1,X2,X3] :
( hollywood(X0)
& city(X0)
& event(X1)
& street(X2)
& way(X2)
& lonely(X2)
& chevy(X3)
& car(X3)
& white(X3)
& dirty(X3)
& old(X3)
& barrel(X1,X3)
& down(X1,X2)
& in(X1,X0) )
=> ? [X4,X5,X6,X7] :
( hollywood(X4)
& city(X4)
& event(X5)
& chevy(X6)
& car(X6)
& white(X6)
& dirty(X6)
& old(X6)
& street(X7)
& way(X7)
& lonely(X7)
& barrel(X5,X6)
& down(X5,X7)
& in(X5,X4) ) )
& ( ? [X8,X9,X10,X11] :
( hollywood(X8)
& city(X8)
& event(X9)
& chevy(X10)
& car(X10)
& white(X10)
& dirty(X10)
& old(X10)
& street(X11)
& way(X11)
& lonely(X11)
& barrel(X9,X10)
& down(X9,X11)
& in(X9,X8) )
=> ? [X12,X13,X14,X15] :
( hollywood(X12)
& city(X12)
& event(X13)
& street(X14)
& way(X14)
& lonely(X14)
& chevy(X15)
& car(X15)
& white(X15)
& dirty(X15)
& old(X15)
& barrel(X13,X15)
& down(X13,X14)
& in(X13,X12) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0,X1,X2,X3] :
( hollywood(X0)
& city(X0)
& event(X1)
& street(X2)
& way(X2)
& lonely(X2)
& chevy(X3)
& car(X3)
& white(X3)
& dirty(X3)
& old(X3)
& barrel(X1,X3)
& down(X1,X2)
& in(X1,X0) )
=> ? [X4,X5,X6,X7] :
( hollywood(X4)
& city(X4)
& event(X5)
& chevy(X6)
& car(X6)
& white(X6)
& dirty(X6)
& old(X6)
& street(X7)
& way(X7)
& lonely(X7)
& barrel(X5,X6)
& down(X5,X7)
& in(X5,X4) ) )
& ( ? [X8,X9,X10,X11] :
( hollywood(X8)
& city(X8)
& event(X9)
& chevy(X10)
& car(X10)
& white(X10)
& dirty(X10)
& old(X10)
& street(X11)
& way(X11)
& lonely(X11)
& barrel(X9,X10)
& down(X9,X11)
& in(X9,X8) )
=> ? [X12,X13,X14,X15] :
( hollywood(X12)
& city(X12)
& event(X13)
& street(X14)
& way(X14)
& lonely(X14)
& chevy(X15)
& car(X15)
& white(X15)
& dirty(X15)
& old(X15)
& barrel(X13,X15)
& down(X13,X14)
& in(X13,X12) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ! [X4,X5,X6,X7] :
( ~ hollywood(X4)
| ~ city(X4)
| ~ event(X5)
| ~ chevy(X6)
| ~ car(X6)
| ~ white(X6)
| ~ dirty(X6)
| ~ old(X6)
| ~ street(X7)
| ~ way(X7)
| ~ lonely(X7)
| ~ barrel(X5,X6)
| ~ down(X5,X7)
| ~ in(X5,X4) )
& ? [X0,X1,X2,X3] :
( hollywood(X0)
& city(X0)
& event(X1)
& street(X2)
& way(X2)
& lonely(X2)
& chevy(X3)
& car(X3)
& white(X3)
& dirty(X3)
& old(X3)
& barrel(X1,X3)
& down(X1,X2)
& in(X1,X0) ) )
| ( ! [X12,X13,X14,X15] :
( ~ hollywood(X12)
| ~ city(X12)
| ~ event(X13)
| ~ street(X14)
| ~ way(X14)
| ~ lonely(X14)
| ~ chevy(X15)
| ~ car(X15)
| ~ white(X15)
| ~ dirty(X15)
| ~ old(X15)
| ~ barrel(X13,X15)
| ~ down(X13,X14)
| ~ in(X13,X12) )
& ? [X8,X9,X10,X11] :
( hollywood(X8)
& city(X8)
& event(X9)
& chevy(X10)
& car(X10)
& white(X10)
& dirty(X10)
& old(X10)
& street(X11)
& way(X11)
& lonely(X11)
& barrel(X9,X10)
& down(X9,X11)
& in(X9,X8) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X6,X7,X4,X5] :
( ~ in(X5,X4)
| ~ down(X5,X7)
| ~ barrel(X5,X6)
| ~ lonely(X7)
| ~ way(X7)
| ~ street(X7)
| ~ old(X6)
| ~ dirty(X6)
| ~ white(X6)
| ~ car(X6)
| ~ chevy(X6)
| ~ event(X5)
| ~ city(X4)
| ~ hollywood(X4)
| ~ sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( in(X1,X0)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( down(X1,X2)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( barrel(X1,X3)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( old(X3)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f9,plain,
! [X2,X3,X0,X1] :
( dirty(X3)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( white(X3)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( car(X3)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( chevy(X3)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( lonely(X2)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f14,plain,
! [X2,X3,X0,X1] :
( way(X2)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( street(X2)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( event(X1)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( city(X0)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( hollywood(X0)
| ~ sP8(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f19,plain,
! [X6,X7,X14,X4,X15,X5,X12,X13] :
( ~ in(X13,X12)
| ~ down(X13,X14)
| ~ barrel(X13,X15)
| ~ old(X15)
| ~ dirty(X15)
| ~ white(X15)
| ~ car(X15)
| ~ chevy(X15)
| ~ lonely(X14)
| ~ way(X14)
| ~ street(X14)
| ~ event(X13)
| ~ city(X12)
| ~ hollywood(X12)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
! [X14,X15,X12,X13] :
( ~ in(X13,X12)
| ~ down(X13,X14)
| ~ barrel(X13,X15)
| ~ old(X15)
| ~ dirty(X15)
| ~ white(X15)
| ~ car(X15)
| ~ chevy(X15)
| ~ lonely(X14)
| ~ way(X14)
| ~ street(X14)
| ~ event(X13)
| ~ city(X12)
| ~ hollywood(X12)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X6,X7,X4,X5] :
( in(sK1,sK0)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X6,X7,X4,X5] :
( down(sK1,sK3)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
! [X6,X7,X4,X5] :
( barrel(sK1,sK2)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X6,X7,X4,X5] :
( lonely(sK3)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X6,X7,X4,X5] :
( way(sK3)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X6,X7,X4,X5] :
( street(sK3)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
! [X6,X7,X4,X5] :
( old(sK2)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X6,X7,X4,X5] :
( dirty(sK2)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
! [X6,X7,X4,X5] :
( white(sK2)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X6,X7,X4,X5] :
( car(sK2)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f31,plain,
! [X6,X7,X4,X5] :
( chevy(sK2)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X6,X7,X4,X5] :
( event(sK1)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X6,X7,X4,X5] :
( city(sK0)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X6,X7,X4,X5] :
( hollywood(sK0)
| sP9(X7,X6,X5,X4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
( in(sK1,sK0)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f36,plain,
( down(sK1,sK3)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
( barrel(sK1,sK2)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f38,plain,
( lonely(sK3)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
( way(sK3)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
( street(sK3)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
( old(sK2)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
( dirty(sK2)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f43,plain,
( white(sK2)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f44,plain,
( car(sK2)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f45,plain,
( chevy(sK2)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
( event(sK1)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
( city(sK0)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f48,plain,
( hollywood(sK0)
| sP8(sK7,sK6,sK5,sK4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f50,definition,
( spl10_1
<=> ! [X6,X4,X5,X7] : sP9(X7,X6,X5,X4) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f51,plain,
( ! [X6,X7,X4,X5] : sP9(X7,X6,X5,X4)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl10_2
<=> ! [X13,X14,X12,X15] :
( ~ in(X13,X12)
| ~ hollywood(X12)
| ~ city(X12)
| ~ event(X13)
| ~ street(X14)
| ~ way(X14)
| ~ lonely(X14)
| ~ chevy(X15)
| ~ car(X15)
| ~ white(X15)
| ~ dirty(X15)
| ~ old(X15)
| ~ barrel(X13,X15)
| ~ down(X13,X14) ) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f54,plain,
( ! [X14,X15,X12,X13] :
( ~ in(X13,X12)
| ~ hollywood(X12)
| ~ city(X12)
| ~ event(X13)
| ~ street(X14)
| ~ way(X14)
| ~ lonely(X14)
| ~ chevy(X15)
| ~ car(X15)
| ~ white(X15)
| ~ dirty(X15)
| ~ old(X15)
| ~ barrel(X13,X15)
| ~ down(X13,X14) )
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f19,f53,f50]) ).
fof(f57,definition,
( spl10_3
<=> sP8(sK7,sK6,sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f59,plain,
( sP8(sK7,sK6,sK5,sK4)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( spl10_3
| spl10_2 ),
inference(avatar_split_clause,[],[f20,f53,f57]) ).
fof(f62,definition,
( spl10_4
<=> in(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f64,plain,
( in(sK1,sK0)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( spl10_1
| spl10_4 ),
inference(avatar_split_clause,[],[f21,f62,f50]) ).
fof(f67,definition,
( spl10_5
<=> down(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f69,plain,
( down(sK1,sK3)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( spl10_1
| spl10_5 ),
inference(avatar_split_clause,[],[f22,f67,f50]) ).
fof(f72,definition,
( spl10_6
<=> barrel(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f74,plain,
( barrel(sK1,sK2)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f75,plain,
( spl10_1
| spl10_6 ),
inference(avatar_split_clause,[],[f23,f72,f50]) ).
fof(f77,definition,
( spl10_7
<=> lonely(sK3) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f79,plain,
( lonely(sK3)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl10_1
| spl10_7 ),
inference(avatar_split_clause,[],[f24,f77,f50]) ).
fof(f82,definition,
( spl10_8
<=> way(sK3) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f84,plain,
( way(sK3)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,plain,
( spl10_1
| spl10_8 ),
inference(avatar_split_clause,[],[f25,f82,f50]) ).
fof(f87,definition,
( spl10_9
<=> street(sK3) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f89,plain,
( street(sK3)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl10_1
| spl10_9 ),
inference(avatar_split_clause,[],[f26,f87,f50]) ).
fof(f92,definition,
( spl10_10
<=> old(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f94,plain,
( old(sK2)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
( spl10_1
| spl10_10 ),
inference(avatar_split_clause,[],[f27,f92,f50]) ).
fof(f97,definition,
( spl10_11
<=> dirty(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f99,plain,
( dirty(sK2)
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl10_1
| spl10_11 ),
inference(avatar_split_clause,[],[f28,f97,f50]) ).
fof(f102,definition,
( spl10_12
<=> white(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f104,plain,
( white(sK2)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl10_1
| spl10_12 ),
inference(avatar_split_clause,[],[f29,f102,f50]) ).
fof(f107,definition,
( spl10_13
<=> car(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
fof(f109,plain,
( car(sK2)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl10_1
| spl10_13 ),
inference(avatar_split_clause,[],[f30,f107,f50]) ).
fof(f112,definition,
( spl10_14
<=> chevy(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
fof(f114,plain,
( chevy(sK2)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl10_1
| spl10_14 ),
inference(avatar_split_clause,[],[f31,f112,f50]) ).
fof(f117,definition,
( spl10_15
<=> event(sK1) ),
introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).
fof(f119,plain,
( event(sK1)
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl10_1
| spl10_15 ),
inference(avatar_split_clause,[],[f32,f117,f50]) ).
fof(f122,definition,
( spl10_16
<=> city(sK0) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f124,plain,
( city(sK0)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl10_1
| spl10_16 ),
inference(avatar_split_clause,[],[f33,f122,f50]) ).
fof(f127,definition,
( spl10_17
<=> hollywood(sK0) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f129,plain,
( hollywood(sK0)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl10_1
| spl10_17 ),
inference(avatar_split_clause,[],[f34,f127,f50]) ).
fof(f131,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f35,f62,f57]) ).
fof(f132,plain,
( spl10_3
| spl10_5 ),
inference(avatar_split_clause,[],[f36,f67,f57]) ).
fof(f133,plain,
( spl10_3
| spl10_6 ),
inference(avatar_split_clause,[],[f37,f72,f57]) ).
fof(f134,plain,
( spl10_3
| spl10_7 ),
inference(avatar_split_clause,[],[f38,f77,f57]) ).
fof(f135,plain,
( spl10_3
| spl10_8 ),
inference(avatar_split_clause,[],[f39,f82,f57]) ).
fof(f136,plain,
( spl10_3
| spl10_9 ),
inference(avatar_split_clause,[],[f40,f87,f57]) ).
fof(f137,plain,
( spl10_3
| spl10_10 ),
inference(avatar_split_clause,[],[f41,f92,f57]) ).
fof(f138,plain,
( spl10_3
| spl10_11 ),
inference(avatar_split_clause,[],[f42,f97,f57]) ).
fof(f139,plain,
( spl10_3
| spl10_12 ),
inference(avatar_split_clause,[],[f43,f102,f57]) ).
fof(f140,plain,
( spl10_3
| spl10_13 ),
inference(avatar_split_clause,[],[f44,f107,f57]) ).
fof(f141,plain,
( spl10_3
| spl10_14 ),
inference(avatar_split_clause,[],[f45,f112,f57]) ).
fof(f142,plain,
( spl10_3
| spl10_15 ),
inference(avatar_split_clause,[],[f46,f117,f57]) ).
fof(f143,plain,
( spl10_3
| spl10_16 ),
inference(avatar_split_clause,[],[f47,f122,f57]) ).
fof(f144,plain,
( spl10_3
| spl10_17 ),
inference(avatar_split_clause,[],[f48,f127,f57]) ).
fof(f145,plain,
( ! [X0,X1] :
( ~ hollywood(sK0)
| ~ city(sK0)
| ~ event(sK1)
| ~ street(X0)
| ~ way(X0)
| ~ lonely(X0)
| ~ chevy(X1)
| ~ car(X1)
| ~ white(X1)
| ~ dirty(X1)
| ~ old(X1)
| ~ barrel(sK1,X1)
| ~ down(sK1,X0) )
| ~ spl10_2
| ~ spl10_4 ),
inference(resolution,[],[f54,f64]) ).
fof(f148,plain,
( ! [X0,X1] :
( ~ city(sK0)
| ~ event(sK1)
| ~ street(X0)
| ~ way(X0)
| ~ lonely(X0)
| ~ chevy(X1)
| ~ car(X1)
| ~ white(X1)
| ~ dirty(X1)
| ~ old(X1)
| ~ barrel(sK1,X1)
| ~ down(sK1,X0) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_17 ),
inference(forward_subsumption_resolution,[],[f145,f129]) ).
fof(f150,plain,
( ! [X0,X1] :
( ~ event(sK1)
| ~ street(X0)
| ~ way(X0)
| ~ lonely(X0)
| ~ chevy(X1)
| ~ car(X1)
| ~ white(X1)
| ~ dirty(X1)
| ~ old(X1)
| ~ barrel(sK1,X1)
| ~ down(sK1,X0) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_16
| ~ spl10_17 ),
inference(forward_subsumption_resolution,[],[f148,f124]) ).
fof(f152,plain,
( ! [X0,X1] :
( ~ street(X0)
| ~ way(X0)
| ~ lonely(X0)
| ~ chevy(X1)
| ~ car(X1)
| ~ white(X1)
| ~ dirty(X1)
| ~ old(X1)
| ~ barrel(sK1,X1)
| ~ down(sK1,X0) )
| ~ spl10_2
| ~ spl10_4
| ~ spl10_15
| ~ spl10_16
| ~ spl10_17 ),
inference(forward_subsumption_resolution,[],[f150,f119]) ).
fof(f154,definition,
( spl10_18
<=> ! [X1] :
( ~ chevy(X1)
| ~ barrel(sK1,X1)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1) ) ),
introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).
fof(f155,plain,
( ! [X1] :
( ~ barrel(sK1,X1)
| ~ chevy(X1)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1) )
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,definition,
( spl10_19
<=> ! [X0] :
( ~ street(X0)
| ~ down(sK1,X0)
| ~ lonely(X0)
| ~ way(X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition]) ).
fof(f158,plain,
( ! [X0] :
( ~ down(sK1,X0)
| ~ street(X0)
| ~ lonely(X0)
| ~ way(X0) )
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f159,plain,
( spl10_18
| spl10_19
| ~ spl10_2
| ~ spl10_4
| ~ spl10_15
| ~ spl10_16
| ~ spl10_17 ),
inference(avatar_split_clause,[],[f152,f127,f122,f117,f62,f53,f157,f154]) ).
fof(f161,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ down(X0,X1)
| ~ barrel(X0,X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ event(X0)
| ~ city(X3)
| ~ hollywood(X3)
| ~ sP9(X1,X2,X0,X3)
| ~ sP8(X4,X5,X0,X3) ),
inference(resolution,[],[f4,f5]) ).
fof(f162,plain,
( ~ chevy(sK2)
| ~ old(sK2)
| ~ dirty(sK2)
| ~ white(sK2)
| ~ car(sK2)
| ~ spl10_6
| ~ spl10_18 ),
inference(resolution,[],[f155,f74]) ).
fof(f165,plain,
( ~ old(sK2)
| ~ dirty(sK2)
| ~ white(sK2)
| ~ car(sK2)
| ~ spl10_6
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_subsumption_resolution,[],[f162,f114]) ).
fof(f167,plain,
( ~ dirty(sK2)
| ~ white(sK2)
| ~ car(sK2)
| ~ spl10_6
| ~ spl10_10
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_subsumption_resolution,[],[f165,f94]) ).
fof(f169,plain,
( ~ white(sK2)
| ~ car(sK2)
| ~ spl10_6
| ~ spl10_10
| ~ spl10_11
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_subsumption_resolution,[],[f167,f99]) ).
fof(f171,plain,
( ~ car(sK2)
| ~ spl10_6
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_subsumption_resolution,[],[f169,f104]) ).
fof(f173,plain,
( $false
| ~ spl10_6
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(forward_subsumption_resolution,[],[f171,f109]) ).
fof(f174,plain,
( ~ spl10_6
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f175,plain,
( ~ street(sK3)
| ~ lonely(sK3)
| ~ way(sK3)
| ~ spl10_5
| ~ spl10_19 ),
inference(resolution,[],[f158,f69]) ).
fof(f178,plain,
( ~ lonely(sK3)
| ~ way(sK3)
| ~ spl10_5
| ~ spl10_9
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f175,f89]) ).
fof(f180,plain,
( ~ way(sK3)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f178,f79]) ).
fof(f182,plain,
( $false
| ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f180,f84]) ).
fof(f183,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_19 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f208,definition,
( spl10_21
<=> ! [X4,X5,X3] : ~ sP8(X3,X4,sK5,X5) ),
introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).
fof(f209,plain,
( ! [X3,X4,X5] : ~ sP8(X3,X4,sK5,X5)
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f213,plain,
( $false
| ~ spl10_3
| ~ spl10_21 ),
inference(resolution,[],[f209,f59]) ).
fof(f214,plain,
( ~ spl10_3
| ~ spl10_21 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ down(X0,X1)
| ~ barrel(X0,X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ city(X3)
| ~ hollywood(X3)
| ~ sP9(X1,X2,X0,X3)
| ~ sP8(X4,X5,X0,X3) ),
inference(forward_subsumption_resolution,[],[f161,f16]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ down(X0,X1)
| ~ barrel(X0,X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ hollywood(X3)
| ~ sP9(X1,X2,X0,X3)
| ~ sP8(X4,X5,X0,X3) ),
inference(forward_subsumption_resolution,[],[f215,f17]) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ down(X0,X1)
| ~ barrel(X0,X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ sP9(X1,X2,X0,X3)
| ~ sP8(X4,X5,X0,X3) ),
inference(forward_subsumption_resolution,[],[f216,f18]) ).
fof(f218,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ down(X0,X1)
| ~ barrel(X0,X2)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ old(X2)
| ~ dirty(X2)
| ~ white(X2)
| ~ car(X2)
| ~ chevy(X2)
| ~ sP8(X4,X5,X0,X3) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f217,f51]) ).
fof(f220,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ barrel(X0,X1)
| ~ lonely(X2)
| ~ way(X2)
| ~ street(X2)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ sP8(X3,X4,X0,X5)
| ~ sP8(X6,X2,X0,X7) )
| ~ spl10_1 ),
inference(resolution,[],[f218,f6]) ).
fof(f221,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ barrel(X0,X1)
| ~ way(X2)
| ~ street(X2)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ sP8(X3,X4,X0,X5)
| ~ sP8(X6,X2,X0,X7) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f220,f13]) ).
fof(f222,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ barrel(X0,X1)
| ~ street(X2)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ sP8(X3,X4,X0,X5)
| ~ sP8(X6,X2,X0,X7) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f221,f14]) ).
fof(f223,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ barrel(X0,X1)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ sP8(X3,X4,X0,X5)
| ~ sP8(X6,X2,X0,X7) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f222,f15]) ).
fof(f225,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0)
| ~ chevy(X0)
| ~ sP8(X1,X2,X3,X4)
| ~ sP8(X5,X6,X3,X7)
| ~ sP8(X0,X8,X3,X9) )
| ~ spl10_1 ),
inference(resolution,[],[f223,f7]) ).
fof(f226,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ dirty(X0)
| ~ white(X0)
| ~ car(X0)
| ~ chevy(X0)
| ~ sP8(X1,X2,X3,X4)
| ~ sP8(X5,X6,X3,X7)
| ~ sP8(X0,X8,X3,X9) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f225,f8]) ).
fof(f227,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ white(X0)
| ~ car(X0)
| ~ chevy(X0)
| ~ sP8(X1,X2,X3,X4)
| ~ sP8(X5,X6,X3,X7)
| ~ sP8(X0,X8,X3,X9) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f226,f9]) ).
fof(f228,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ car(X0)
| ~ chevy(X0)
| ~ sP8(X1,X2,X3,X4)
| ~ sP8(X5,X6,X3,X7)
| ~ sP8(X0,X8,X3,X9) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f227,f10]) ).
fof(f229,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ chevy(X0)
| ~ sP8(X1,X2,X3,X4)
| ~ sP8(X5,X6,X3,X7)
| ~ sP8(X0,X8,X3,X9) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f228,f11]) ).
fof(f230,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP8(X1,X2,X3,X4)
| ~ sP8(X5,X6,X3,X7)
| ~ sP8(X0,X8,X3,X9) )
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f229,f12]) ).
fof(f231,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sP8(X0,X1,sK5,X2)
| ~ sP8(X3,X4,sK5,X5) )
| ~ spl10_1
| ~ spl10_3 ),
inference(resolution,[],[f230,f59]) ).
fof(f236,plain,
( spl10_21
| spl10_21
| ~ spl10_1
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f231,f57,f50,f208,f208]) ).
cnf(s1,plain,
( spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s2,plain,
( spl10_2
| spl10_3 ),
inference(sat_conversion,[],[f60]) ).
cnf(s3,plain,
( spl10_1
| spl10_4 ),
inference(sat_conversion,[],[f65]) ).
cnf(s4,plain,
( spl10_1
| spl10_5 ),
inference(sat_conversion,[],[f70]) ).
cnf(s5,plain,
( spl10_1
| spl10_6 ),
inference(sat_conversion,[],[f75]) ).
cnf(s6,plain,
( spl10_1
| spl10_7 ),
inference(sat_conversion,[],[f80]) ).
cnf(s7,plain,
( spl10_1
| spl10_8 ),
inference(sat_conversion,[],[f85]) ).
cnf(s8,plain,
( spl10_1
| spl10_9 ),
inference(sat_conversion,[],[f90]) ).
cnf(s9,plain,
( spl10_1
| spl10_10 ),
inference(sat_conversion,[],[f95]) ).
cnf(s10,plain,
( spl10_1
| spl10_11 ),
inference(sat_conversion,[],[f100]) ).
cnf(s11,plain,
( spl10_1
| spl10_12 ),
inference(sat_conversion,[],[f105]) ).
cnf(s12,plain,
( spl10_1
| spl10_13 ),
inference(sat_conversion,[],[f110]) ).
cnf(s13,plain,
( spl10_1
| spl10_14 ),
inference(sat_conversion,[],[f115]) ).
cnf(s14,plain,
( spl10_1
| spl10_15 ),
inference(sat_conversion,[],[f120]) ).
cnf(s15,plain,
( spl10_1
| spl10_16 ),
inference(sat_conversion,[],[f125]) ).
cnf(s16,plain,
( spl10_1
| spl10_17 ),
inference(sat_conversion,[],[f130]) ).
cnf(s17,plain,
( spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f131]) ).
cnf(s18,plain,
( spl10_3
| spl10_5 ),
inference(sat_conversion,[],[f132]) ).
cnf(s19,plain,
( spl10_3
| spl10_6 ),
inference(sat_conversion,[],[f133]) ).
cnf(s20,plain,
( spl10_3
| spl10_7 ),
inference(sat_conversion,[],[f134]) ).
cnf(s21,plain,
( spl10_3
| spl10_8 ),
inference(sat_conversion,[],[f135]) ).
cnf(s22,plain,
( spl10_3
| spl10_9 ),
inference(sat_conversion,[],[f136]) ).
cnf(s23,plain,
( spl10_3
| spl10_10 ),
inference(sat_conversion,[],[f137]) ).
cnf(s24,plain,
( spl10_3
| spl10_11 ),
inference(sat_conversion,[],[f138]) ).
cnf(s25,plain,
( spl10_3
| spl10_12 ),
inference(sat_conversion,[],[f139]) ).
cnf(s26,plain,
( spl10_3
| spl10_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s27,plain,
( spl10_3
| spl10_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s28,plain,
( spl10_3
| spl10_15 ),
inference(sat_conversion,[],[f142]) ).
cnf(s29,plain,
( spl10_3
| spl10_16 ),
inference(sat_conversion,[],[f143]) ).
cnf(s30,plain,
( spl10_3
| spl10_17 ),
inference(sat_conversion,[],[f144]) ).
cnf(s31,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_15
| ~ spl10_16
| ~ spl10_17
| spl10_18
| spl10_19 ),
inference(sat_conversion,[],[f159]) ).
cnf(s32,plain,
( ~ spl10_6
| ~ spl10_10
| ~ spl10_11
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14
| ~ spl10_18 ),
inference(sat_conversion,[],[f174]) ).
cnf(s33,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_19 ),
inference(sat_conversion,[],[f183]) ).
cnf(s41,plain,
( ~ spl10_3
| ~ spl10_21 ),
inference(sat_conversion,[],[f214]) ).
cnf(s46,plain,
( spl10_21
| ~ spl10_3
| ~ spl10_1
| spl10_21 ),
inference(sat_conversion,[],[f236]) ).
cnf(s47,plain,
( ~ spl10_1
| ~ spl10_3
| spl10_21 ),
inference(rat,[],[s46]) ).
cnf(s48,plain,
spl10_1,
inference(rat,[],[s31,s33,s32,s1,s3,s4,s5,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16]) ).
cnf(s49,plain,
( spl10_3
| ~ spl10_2 ),
inference(rat,[],[s31,s33,s32,s17,s18,s19,s20,s21,s22,s23,s24,s25,s26,s27,s28,s29,s30]) ).
cnf(s50,plain,
~ spl10_3,
inference(rat,[],[s41,s47,s48]) ).
cnf(s65,plain,
spl10_2,
inference(rat,[],[s2,s50]) ).
cnf(s66,plain,
$false,
inference(rat,[],[s49,s65,s50]) ).
fof(f237,plain,
$false,
inference(avatar_sat_refutation,[],[s66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP001+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:47:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (819036)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (819051)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3955893789:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (819051) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-819036-819051"...
% 0.11/0.45 % (819051)...printing done.
% 0.11/0.45 % (819051)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (819051)------------------------------
% 0.11/0.46 % (819051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (819051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (819051)CaDiCaL version: 2.1.3
% 0.11/0.46 % (819051)Termination reason: Refutation
% 0.11/0.46 % (819051)Time elapsed: 0.004 s
% 0.11/0.46 % (819051)Peak memory usage: 12 MB
% 0.11/0.46 % (819051)Instructions burned: 11 (million)
% 0.11/0.46 % (819036)Success in time 0.032 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------