%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NLP001-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:06:36 PM UTC 2026
% Result : Unsatisfiable 2.83s 1.29s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 56
% Syntax : Number of formulae : 179 ( 24 unt; 26 def)
% Number of atoms : 620 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 864 ( 423 ~; 415 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 42 ( 41 usr; 28 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
hollywood(skc15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
event(skc14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
street(skc13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
old(skc12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
hollywood(skc11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
event(skc10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
chevy(skc9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
lonely(skc8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
( ssSkC0
| chevy(skc12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f10,negated_conjecture,
( ssSkC0
| car(skc12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
( ssSkC0
| white(skc12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f12,negated_conjecture,
( ssSkC0
| dirty(skc12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f13,negated_conjecture,
( ssSkC0
| lonely(skc13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f14,negated_conjecture,
( ssSkC0
| way(skc13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f15,negated_conjecture,
( ssSkC0
| city(skc15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f16,negated_conjecture,
( ~ ssSkC0
| street(skc8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f17,negated_conjecture,
( ~ ssSkC0
| way(skc8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f18,negated_conjecture,
( ~ ssSkC0
| old(skc9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f19,negated_conjecture,
( ~ ssSkC0
| dirty(skc9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f20,negated_conjecture,
( ~ ssSkC0
| white(skc9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f21,negated_conjecture,
( ~ ssSkC0
| car(skc9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f22,negated_conjecture,
( ~ ssSkC0
| city(skc11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f23,negated_conjecture,
( ssSkC0
| barrel(skc14,skc12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f24,negated_conjecture,
( ssSkC0
| down(skc14,skc13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f25,negated_conjecture,
( ssSkC0
| in(skc14,skc15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f26,negated_conjecture,
( ~ ssSkC0
| barrel(skc10,skc9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f27,negated_conjecture,
( ~ ssSkC0
| down(skc10,skc8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f28,negated_conjecture,
( ~ ssSkC0
| in(skc10,skc11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ street(X0)
| ~ way(X0)
| ~ lonely(X0)
| ~ old(X1)
| ~ dirty(X1)
| ~ white(X1)
| ~ car(X1)
| ~ chevy(X1)
| ~ event(X2)
| ~ barrel(X2,X1)
| ~ down(X2,X0)
| ~ in(X2,X3)
| ~ city(X3)
| ~ hollywood(X3)
| ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ chevy(X0)
| ~ car(X0)
| ~ white(X0)
| ~ dirty(X0)
| ~ old(X0)
| ~ lonely(X1)
| ~ way(X1)
| ~ street(X1)
| ~ event(X2)
| ~ barrel(X2,X0)
| ~ down(X2,X1)
| ~ in(X2,X3)
| ~ city(X3)
| ~ hollywood(X3)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f32,definition,
( spl0_1
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f35,definition,
( spl0_2
<=> ! [X0,X3,X2,X1] :
( ~ chevy(X0)
| ~ hollywood(X3)
| ~ city(X3)
| ~ in(X2,X3)
| ~ down(X2,X1)
| ~ event(X2)
| ~ barrel(X2,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f36,plain,
( ! [X2,X3,X0,X1] :
( ~ in(X2,X3)
| ~ hollywood(X3)
| ~ city(X3)
| ~ chevy(X0)
| ~ down(X2,X1)
| ~ event(X2)
| ~ barrel(X2,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f35,f32]) ).
fof(f39,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f29,f35,f32]) ).
fof(f41,definition,
( spl0_3
<=> in(skc10,skc11) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f42,plain,
( in(skc10,skc11)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f28,f32,f41]) ).
fof(f45,definition,
( spl0_4
<=> down(skc10,skc8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f46,plain,
( down(skc10,skc8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f27,f32,f45]) ).
fof(f49,definition,
( spl0_5
<=> barrel(skc10,skc9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f50,plain,
( barrel(skc10,skc9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f26,f32,f49]) ).
fof(f53,definition,
( spl0_6
<=> in(skc14,skc15) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f54,plain,
( in(skc14,skc15)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f25,f32,f53]) ).
fof(f57,definition,
( spl0_7
<=> down(skc14,skc13) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f58,plain,
( down(skc14,skc13)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f24,f32,f57]) ).
fof(f61,definition,
( spl0_8
<=> barrel(skc14,skc12) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f62,plain,
( barrel(skc14,skc12)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f63,plain,
( spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f23,f32,f61]) ).
fof(f65,definition,
( spl0_9
<=> city(skc11) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f66,plain,
( city(skc11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f22,f32,f65]) ).
fof(f69,definition,
( spl0_10
<=> car(skc9) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f70,plain,
( car(skc9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f71,plain,
( spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f21,f32,f69]) ).
fof(f73,definition,
( spl0_11
<=> white(skc9) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f74,plain,
( white(skc9)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f20,f32,f73]) ).
fof(f77,definition,
( spl0_12
<=> dirty(skc9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f78,plain,
( dirty(skc9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f79,plain,
( spl0_12
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f19,f32,f77]) ).
fof(f81,definition,
( spl0_13
<=> old(skc9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f82,plain,
( old(skc9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( spl0_13
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f18,f32,f81]) ).
fof(f85,definition,
( spl0_14
<=> way(skc8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f86,plain,
( way(skc8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f17,f32,f85]) ).
fof(f89,definition,
( spl0_15
<=> street(skc8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f90,plain,
( street(skc8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f16,f32,f89]) ).
fof(f93,definition,
( spl0_16
<=> city(skc15) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f95,plain,
( spl0_16
| spl0_1 ),
inference(avatar_split_clause,[],[f15,f32,f93]) ).
fof(f97,definition,
( spl0_17
<=> way(skc13) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f98,plain,
( way(skc13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f99,plain,
( spl0_17
| spl0_1 ),
inference(avatar_split_clause,[],[f14,f32,f97]) ).
fof(f101,definition,
( spl0_18
<=> lonely(skc13) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f102,plain,
( lonely(skc13)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( spl0_18
| spl0_1 ),
inference(avatar_split_clause,[],[f13,f32,f101]) ).
fof(f105,definition,
( spl0_19
<=> dirty(skc12) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f106,plain,
( dirty(skc12)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( spl0_19
| spl0_1 ),
inference(avatar_split_clause,[],[f12,f32,f105]) ).
fof(f109,definition,
( spl0_20
<=> white(skc12) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f110,plain,
( white(skc12)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f111,plain,
( spl0_20
| spl0_1 ),
inference(avatar_split_clause,[],[f11,f32,f109]) ).
fof(f113,definition,
( spl0_21
<=> car(skc12) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f114,plain,
( car(skc12)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f115,plain,
( spl0_21
| spl0_1 ),
inference(avatar_split_clause,[],[f10,f32,f113]) ).
fof(f117,definition,
( spl0_22
<=> chevy(skc12) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f118,plain,
( chevy(skc12)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( spl0_22
| spl0_1 ),
inference(avatar_split_clause,[],[f9,f32,f117]) ).
fof(f120,plain,
( ! [X0,X1] :
( ~ hollywood(skc15)
| ~ city(skc15)
| ~ chevy(X0)
| ~ down(skc14,X1)
| ~ event(skc14)
| ~ barrel(skc14,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f36,f54]) ).
fof(f121,plain,
( ! [X0,X1] :
( ~ city(skc15)
| ~ chevy(X0)
| ~ down(skc14,X1)
| ~ event(skc14)
| ~ barrel(skc14,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f120,f1]) ).
fof(f125,definition,
( spl0_23
<=> ! [X1] :
( ~ down(skc14,X1)
| ~ way(X1)
| ~ street(X1)
| ~ lonely(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f126,plain,
( ! [X1] :
( ~ down(skc14,X1)
| ~ way(X1)
| ~ street(X1)
| ~ lonely(X1) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,definition,
( spl0_24
<=> ! [X0] :
( ~ chevy(X0)
| ~ car(X0)
| ~ white(X0)
| ~ dirty(X0)
| ~ old(X0)
| ~ barrel(skc14,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f129,plain,
( ! [X0] :
( ~ barrel(skc14,X0)
| ~ car(X0)
| ~ white(X0)
| ~ dirty(X0)
| ~ old(X0)
| ~ chevy(X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( ~ way(skc13)
| ~ street(skc13)
| ~ lonely(skc13)
| ~ spl0_7
| ~ spl0_23 ),
inference(resolution,[],[f126,f58]) ).
fof(f132,plain,
( ~ street(skc13)
| ~ lonely(skc13)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f131,f98]) ).
fof(f133,plain,
( ~ lonely(skc13)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f132,f3]) ).
fof(f134,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f133,f102]) ).
fof(f135,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f136,plain,
( ~ car(skc12)
| ~ white(skc12)
| ~ dirty(skc12)
| ~ old(skc12)
| ~ chevy(skc12)
| ~ spl0_8
| ~ spl0_24 ),
inference(resolution,[],[f129,f62]) ).
fof(f137,plain,
( ~ white(skc12)
| ~ dirty(skc12)
| ~ old(skc12)
| ~ chevy(skc12)
| ~ spl0_8
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f136,f114]) ).
fof(f138,plain,
( ~ dirty(skc12)
| ~ old(skc12)
| ~ chevy(skc12)
| ~ spl0_8
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f137,f110]) ).
fof(f139,plain,
( ~ old(skc12)
| ~ chevy(skc12)
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f138,f106]) ).
fof(f140,plain,
( ~ chevy(skc12)
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f139,f4]) ).
fof(f141,plain,
( $false
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f140,f118]) ).
fof(f142,plain,
( ~ spl0_8
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f143,plain,
( ! [X0,X1] :
( ~ city(skc15)
| ~ chevy(X0)
| ~ down(skc14,X1)
| ~ barrel(skc14,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f121,f2]) ).
fof(f145,plain,
( spl0_23
| spl0_24
| ~ spl0_16
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f143,f53,f35,f93,f128,f125]) ).
fof(f146,plain,
( ! [X0,X1] :
( ~ hollywood(skc11)
| ~ city(skc11)
| ~ chevy(X0)
| ~ down(skc10,X1)
| ~ event(skc10)
| ~ barrel(skc10,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f42,f36]) ).
fof(f147,plain,
( ! [X0,X1] :
( ~ city(skc11)
| ~ chevy(X0)
| ~ down(skc10,X1)
| ~ event(skc10)
| ~ barrel(skc10,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f146,f5]) ).
fof(f148,plain,
( ! [X0,X1] :
( ~ chevy(X0)
| ~ down(skc10,X1)
| ~ event(skc10)
| ~ barrel(skc10,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f147,f66]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ chevy(X0)
| ~ down(skc10,X1)
| ~ barrel(skc10,X0)
| ~ lonely(X1)
| ~ street(X1)
| ~ way(X1)
| ~ old(X0)
| ~ dirty(X0)
| ~ white(X0)
| ~ car(X0) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f148,f6]) ).
fof(f151,definition,
( spl0_25
<=> ! [X1] :
( ~ down(skc10,X1)
| ~ way(X1)
| ~ street(X1)
| ~ lonely(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f152,plain,
( ! [X1] :
( ~ down(skc10,X1)
| ~ way(X1)
| ~ street(X1)
| ~ lonely(X1) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,definition,
( spl0_26
<=> ! [X0] :
( ~ chevy(X0)
| ~ car(X0)
| ~ white(X0)
| ~ dirty(X0)
| ~ old(X0)
| ~ barrel(skc10,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f155,plain,
( ! [X0] :
( ~ barrel(skc10,X0)
| ~ car(X0)
| ~ white(X0)
| ~ dirty(X0)
| ~ old(X0)
| ~ chevy(X0) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( spl0_25
| spl0_26
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f149,f65,f41,f35,f154,f151]) ).
fof(f157,plain,
( ~ car(skc9)
| ~ white(skc9)
| ~ dirty(skc9)
| ~ old(skc9)
| ~ chevy(skc9)
| ~ spl0_5
| ~ spl0_26 ),
inference(resolution,[],[f155,f50]) ).
fof(f158,plain,
( ~ white(skc9)
| ~ dirty(skc9)
| ~ old(skc9)
| ~ chevy(skc9)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f157,f70]) ).
fof(f159,plain,
( ~ dirty(skc9)
| ~ old(skc9)
| ~ chevy(skc9)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f158,f74]) ).
fof(f160,plain,
( ~ old(skc9)
| ~ chevy(skc9)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f159,f78]) ).
fof(f161,plain,
( ~ chevy(skc9)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f160,f82]) ).
fof(f162,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f161,f7]) ).
fof(f163,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f164,plain,
( ~ way(skc8)
| ~ street(skc8)
| ~ lonely(skc8)
| ~ spl0_4
| ~ spl0_25 ),
inference(resolution,[],[f152,f46]) ).
fof(f165,plain,
( ~ street(skc8)
| ~ lonely(skc8)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f164,f86]) ).
fof(f166,plain,
( ~ lonely(skc8)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f165,f90]) ).
fof(f167,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f166,f8]) ).
fof(f168,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f167]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f37]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f43]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f47]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f51]) ).
cnf(s6,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f55]) ).
cnf(s7,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f59]) ).
cnf(s8,plain,
( spl0_1
| spl0_8 ),
inference(sat_conversion,[],[f63]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f67]) ).
cnf(s10,plain,
( ~ spl0_1
| spl0_10 ),
inference(sat_conversion,[],[f71]) ).
cnf(s11,plain,
( ~ spl0_1
| spl0_11 ),
inference(sat_conversion,[],[f75]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_12 ),
inference(sat_conversion,[],[f79]) ).
cnf(s13,plain,
( ~ spl0_1
| spl0_13 ),
inference(sat_conversion,[],[f83]) ).
cnf(s14,plain,
( ~ spl0_1
| spl0_14 ),
inference(sat_conversion,[],[f87]) ).
cnf(s15,plain,
( ~ spl0_1
| spl0_15 ),
inference(sat_conversion,[],[f91]) ).
cnf(s16,plain,
( spl0_1
| spl0_16 ),
inference(sat_conversion,[],[f95]) ).
cnf(s17,plain,
( spl0_1
| spl0_17 ),
inference(sat_conversion,[],[f99]) ).
cnf(s18,plain,
( spl0_1
| spl0_18 ),
inference(sat_conversion,[],[f103]) ).
cnf(s19,plain,
( spl0_1
| spl0_19 ),
inference(sat_conversion,[],[f107]) ).
cnf(s20,plain,
( spl0_1
| spl0_20 ),
inference(sat_conversion,[],[f111]) ).
cnf(s21,plain,
( spl0_1
| spl0_21 ),
inference(sat_conversion,[],[f115]) ).
cnf(s22,plain,
( spl0_1
| spl0_22 ),
inference(sat_conversion,[],[f119]) ).
cnf(s24,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f135]) ).
cnf(s25,plain,
( ~ spl0_8
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f142]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_16
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f145]) ).
cnf(s27,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f156]) ).
cnf(s28,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_26 ),
inference(sat_conversion,[],[f163]) ).
cnf(s29,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_25 ),
inference(sat_conversion,[],[f168]) ).
cnf(s30,plain,
spl0_1,
inference(rat,[],[s26,s24,s25,s2,s6,s7,s8,s16,s17,s18,s19,s20,s21,s22]) ).
cnf(s31,plain,
spl0_15,
inference(rat,[],[s15,s30]) ).
cnf(s32,plain,
spl0_14,
inference(rat,[],[s14,s30]) ).
cnf(s33,plain,
spl0_13,
inference(rat,[],[s13,s30]) ).
cnf(s34,plain,
spl0_12,
inference(rat,[],[s12,s30]) ).
cnf(s35,plain,
spl0_11,
inference(rat,[],[s11,s30]) ).
cnf(s36,plain,
spl0_10,
inference(rat,[],[s10,s30]) ).
cnf(s37,plain,
spl0_9,
inference(rat,[],[s9,s30]) ).
cnf(s38,plain,
spl0_5,
inference(rat,[],[s5,s30]) ).
cnf(s39,plain,
spl0_4,
inference(rat,[],[s4,s30]) ).
cnf(s40,plain,
spl0_3,
inference(rat,[],[s3,s30]) ).
cnf(s41,plain,
spl0_2,
inference(rat,[],[s1,s30]) ).
cnf(s42,plain,
~ spl0_26,
inference(rat,[],[s28,s36,s33,s34,s35,s38]) ).
cnf(s43,plain,
~ spl0_25,
inference(rat,[],[s29,s32,s31,s39]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s27,s42,s43,s37,s40,s41]) ).
fof(f169,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 17:48:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.83/1.29 % (3774022)Input is clausal, will run a generic CNF schedule.
% 2.83/1.29 % (3774028)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2971845382:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.83/1.29 % (3774027)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2632460208:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.83/1.29 % (3774033)dis-21_1_sil=8000:lcm=predicate:random_seed=230535783:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.83/1.29 % (3774031)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3840837202:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.83/1.29 % (3774030)lrs+10_1_sil=8000:sp=occurrence:random_seed=1197175537:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.83/1.29 % (3774029)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=742941427:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.83/1.29 % (3774032)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=438422148:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.83/1.29 % (3774030)Also succeeded, but the first one will report.
% 2.83/1.29 % (3774033)Also succeeded, but the first one will report.
% 2.83/1.29 % (3774031)First to succeed.
% 2.83/1.29 % (3774032)Also succeeded, but the first one will report.
% 2.83/1.29 % (3774031)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3774022"
% 2.83/1.29 % (3774031)Refutation found. Thanks to Tanya!
% 2.83/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.83/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.49 % (3774031)------------------------------
% 3.65/1.49 % (3774031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.49 % (3774031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.49 % (3774031)CaDiCaL version: 2.1.3
% 3.65/1.49 % (3774031)Termination reason: Refutation
% 3.65/1.49 % (3774031)Time elapsed: 0.004 s
% 3.65/1.49 % (3774031)Peak memory usage: 88 MB
% 3.65/1.49 % (3774031)Instructions burned: 5 (million)
% 3.65/1.49 % (3774031)------------------------------
% 3.65/1.49 % (3774031)------------------------------
% 3.65/1.49 % (3774022)Success in time 0.437 s
% 3.65/1.49 % Vampire exiting
%------------------------------------------------------------------------------