%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 11:42:23 AM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 124 ( 17 unt; 14 def)
% Number of atoms : 496 ( 94 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 601 ( 229 ~; 259 |; 83 &)
% ( 17 <=>; 10 =>; 0 <=; 3 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 130 ( 0 sgn 88 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f9,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
! [X0] :
( cc(X0)
=> ( ! [X1,X2,X3] :
( ( rp(X0,X1)
& rp(X0,X2)
& rp(X0,X3) )
=> ( X1 = X2
| X1 = X3
| X2 = X3 ) )
& ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cc(X0)
=> ( ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 )
& ! [X1,X2,X3] :
( ( rp(X0,X1)
& rp(X0,X2)
& rp(X0,X3) )
=> ( X1 = X2
| X1 = X3
| X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f12,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cc(X0)
=> ( ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 )
& ! [X1,X2,X3] :
( ( rp(X0,X1)
& rp(X0,X2)
& rp(X0,X3) )
=> ( X1 = X2
| X1 = X3
| X2 = X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
! [X0] :
( cc(X0)
=> ( ! [X1,X2,X3] :
( ( rp(X0,X1)
& rp(X0,X2)
& rp(X0,X3) )
=> ( X1 = X2
| X1 = X3
| X2 = X3 ) )
& ? [X4,X5] :
( rp(X0,X4)
& rp(X0,X5)
& X4 != X5 ) ) ),
inference(rectify,[],[f10]) ).
fof(f14,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cc(X2)
=> ( ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& ! [X5,X6,X7] :
( ( rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) )
=> ( X5 = X6
| X5 = X7
| X6 = X7 ) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f29,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X1 = X2
| X1 = X3
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3) )
& ? [X4,X5] :
( rp(X0,X4)
& rp(X0,X5)
& X4 != X5 ) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f30,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X1 = X2
| X1 = X3
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3) )
& ? [X4,X5] :
( rp(X0,X4)
& rp(X0,X5)
& X4 != X5 ) )
| ~ cc(X0) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ( ! [X3,X4] :
( ~ rp(X2,X3)
| ~ rp(X2,X4)
| X3 = X4 )
| ? [X5,X6,X7] :
( X5 != X6
& X5 != X7
& X6 != X7
& rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) ) )
& cc(X2) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f32,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ( ! [X3,X4] :
( ~ rp(X2,X3)
| ~ rp(X2,X4)
| X3 = X4 )
| ? [X5,X6,X7] :
( X5 != X6
& X5 != X7
& X6 != X7
& rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) ) )
& cc(X2) ) ),
inference(flattening,[],[f31]) ).
fof(f33,definition,
( ? [X2] :
( ( ! [X3,X4] :
( ~ rp(X2,X3)
| ~ rp(X2,X4)
| X3 = X4 )
| ? [X5,X6,X7] :
( X5 != X6
& X5 != X7
& X6 != X7
& rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) ) )
& cc(X2) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f34,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| sP0 ),
inference(definition_folding,[],[f32,f33]) ).
fof(f35,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] :
( ( ! [X1,X2,X3] :
( X1 = X2
| X1 = X3
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| ~ rp(X0,X3) )
& rp(X0,sK1(X0))
& rp(X0,sK2(X0))
& sK1(X0) != sK2(X0) )
| ~ cc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0))],[f30]) ).
fof(f37,plain,
( ? [X2] :
( ( ! [X3,X4] :
( ~ rp(X2,X3)
| ~ rp(X2,X4)
| X3 = X4 )
| ? [X5,X6,X7] :
( X5 != X6
& X5 != X7
& X6 != X7
& rp(X2,X5)
& rp(X2,X6)
& rp(X2,X7) ) )
& cc(X2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f33]) ).
fof(f38,plain,
( ? [X0] :
( ( ! [X1,X2] :
( ~ rp(X0,X1)
| ~ rp(X0,X2)
| X1 = X2 )
| ? [X3,X4,X5] :
( X3 != X4
& X3 != X5
& X4 != X5
& rp(X0,X3)
& rp(X0,X4)
& rp(X0,X5) ) )
& cc(X0) )
| ~ sP0 ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
( ( ( ! [X1,X2] :
( ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| X1 = X2 )
| ( sK4 != sK5
& sK4 != sK6
& sK5 != sK6
& rp(sK3,sK4)
& rp(sK3,sK5)
& rp(sK3,sK6) ) )
& cc(sK3) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6)],[f38]) ).
fof(f40,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| sP0 ),
inference(nnf_transformation,[],[f34]) ).
fof(f41,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ( ( xsd_integer(sK8)
| ~ xsd_string(sK8) )
& ( ~ xsd_integer(sK8)
| xsd_string(sK8) ) )
| sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f40]) ).
fof(f49,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f50,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f51,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f52,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
! [X0] :
( rp(X0,sK2(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
! [X0] :
( rp(X0,sK1(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ rp(X0,X3)
| X1 = X3
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X2)
| X1 = X2
| ~ cc(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
( cc(sK3)
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
! [X2,X1] :
( ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| X1 = X2
| rp(sK3,sK6)
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f59,plain,
! [X2,X1] :
( ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| X1 = X2
| rp(sK3,sK5)
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
! [X2,X1] :
( ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| X1 = X2
| rp(sK3,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f61,plain,
! [X2,X1] :
( ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| X1 = X2
| sK5 != sK6
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X2,X1] :
( ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| X1 = X2
| sK4 != sK6
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f63,plain,
! [X2,X1] :
( ~ rp(sK3,X1)
| ~ rp(sK3,X2)
| X1 = X2
| sK4 != sK5
| ~ sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f64,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| ~ xsd_integer(sK8)
| xsd_string(sK8)
| sP0 ),
inference(cnf_transformation,[],[f41]) ).
fof(f65,plain,
( ~ cowlThing(sK7)
| cowlNothing(sK7)
| xsd_integer(sK8)
| ~ xsd_string(sK8)
| sP0 ),
inference(cnf_transformation,[],[f41]) ).
fof(f74,definition,
( spl9_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f78,definition,
( spl9_2
<=> xsd_string(sK8) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f79,plain,
( ~ xsd_string(sK8)
| spl9_2 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( xsd_string(sK8)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl9_3
<=> xsd_integer(sK8) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f84,plain,
( ~ xsd_integer(sK8)
| spl9_3 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl9_4
<=> cowlNothing(sK7) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f88,plain,
( cowlNothing(sK7)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl9_5
<=> cowlThing(sK7) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f92,plain,
( ~ cowlThing(sK7)
| spl9_5 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl9_1
| spl9_2
| ~ spl9_3
| spl9_4
| ~ spl9_5 ),
inference(avatar_split_clause,[],[f64,f90,f86,f82,f78,f74]) ).
fof(f94,plain,
( spl9_1
| ~ spl9_2
| spl9_3
| spl9_4
| ~ spl9_5 ),
inference(avatar_split_clause,[],[f65,f90,f86,f82,f78,f74]) ).
fof(f96,definition,
( spl9_6
<=> cc(sK3) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f98,plain,
( cc(sK3)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( ~ spl9_1
| spl9_6 ),
inference(avatar_split_clause,[],[f57,f96,f74]) ).
fof(f101,definition,
( spl9_7
<=> rp(sK3,sK6) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f103,plain,
( rp(sK3,sK6)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl9_8
<=> ! [X2,X1] :
( ~ rp(sK3,X1)
| X1 = X2
| ~ rp(sK3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
fof(f106,plain,
( ! [X2,X1] :
( ~ rp(sK3,X2)
| X1 = X2
| ~ rp(sK3,X1) )
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( ~ spl9_1
| spl9_7
| spl9_8 ),
inference(avatar_split_clause,[],[f58,f105,f101,f74]) ).
fof(f109,definition,
( spl9_9
<=> rp(sK3,sK5) ),
introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).
fof(f111,plain,
( rp(sK3,sK5)
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( ~ spl9_1
| spl9_9
| spl9_8 ),
inference(avatar_split_clause,[],[f59,f105,f109,f74]) ).
fof(f114,definition,
( spl9_10
<=> rp(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
fof(f116,plain,
( rp(sK3,sK4)
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( ~ spl9_1
| spl9_10
| spl9_8 ),
inference(avatar_split_clause,[],[f60,f105,f114,f74]) ).
fof(f119,definition,
( spl9_11
<=> sK5 = sK6 ),
introduced(definition,[new_symbols(definition,[spl9_11])],[avatar_definition]) ).
fof(f121,plain,
( sK5 != sK6
| spl9_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( ~ spl9_1
| ~ spl9_11
| spl9_8 ),
inference(avatar_split_clause,[],[f61,f105,f119,f74]) ).
fof(f124,definition,
( spl9_12
<=> sK4 = sK6 ),
introduced(definition,[new_symbols(definition,[spl9_12])],[avatar_definition]) ).
fof(f126,plain,
( sK4 != sK6
| spl9_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( ~ spl9_1
| ~ spl9_12
| spl9_8 ),
inference(avatar_split_clause,[],[f62,f105,f124,f74]) ).
fof(f129,definition,
( spl9_13
<=> sK4 = sK5 ),
introduced(definition,[new_symbols(definition,[spl9_13])],[avatar_definition]) ).
fof(f131,plain,
( sK4 != sK5
| spl9_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( ~ spl9_1
| ~ spl9_13
| spl9_8 ),
inference(avatar_split_clause,[],[f63,f105,f129,f74]) ).
fof(f133,plain,
( $false
| spl9_5 ),
inference(resolution,[],[f50,f92]) ).
fof(f134,plain,
spl9_5,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f135,plain,
( xsd_integer(sK8)
| spl9_2 ),
inference(resolution,[],[f52,f79]) ).
fof(f137,plain,
( $false
| spl9_2
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f135,f84]) ).
fof(f138,plain,
( spl9_2
| spl9_3 ),
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f139,plain,
( $false
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f88,f49]) ).
fof(f140,plain,
~ spl9_4,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f141,plain,
( ~ xsd_integer(sK8)
| ~ spl9_2 ),
inference(resolution,[],[f80,f51]) ).
fof(f142,plain,
( ~ spl9_3
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f141,f78,f82]) ).
fof(f143,plain,
( ! [X0,X1] :
( sK6 = X0
| sK6 = X1
| ~ rp(sK3,X0)
| ~ rp(sK3,X1)
| X0 = X1
| ~ cc(sK3) )
| ~ spl9_7 ),
inference(resolution,[],[f56,f103]) ).
fof(f152,plain,
( ! [X0,X1] :
( ~ rp(sK3,X1)
| sK6 = X1
| ~ rp(sK3,X0)
| sK6 = X0
| X0 = X1 )
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f143,f98]) ).
fof(f182,plain,
( ! [X0] :
( sK1(sK3) = X0
| ~ rp(sK3,X0)
| ~ cc(sK3) )
| ~ spl9_8 ),
inference(resolution,[],[f106,f55]) ).
fof(f183,plain,
( ! [X0] :
( ~ rp(sK3,X0)
| sK1(sK3) = X0 )
| ~ spl9_6
| ~ spl9_8 ),
inference(forward_subsumption_resolution,[],[f182,f98]) ).
fof(f194,plain,
( sK2(sK3) = sK1(sK3)
| ~ cc(sK3)
| ~ spl9_6
| ~ spl9_8 ),
inference(resolution,[],[f183,f54]) ).
fof(f196,plain,
( ~ cc(sK3)
| ~ spl9_6
| ~ spl9_8 ),
inference(forward_subsumption_resolution,[],[f194,f53]) ).
fof(f197,plain,
( $false
| ~ spl9_6
| ~ spl9_8 ),
inference(forward_subsumption_resolution,[],[f196,f98]) ).
fof(f198,plain,
( ~ spl9_6
| ~ spl9_8 ),
inference(avatar_contradiction_clause,[],[f197]) ).
fof(f209,plain,
( ! [X0] :
( sK4 = sK6
| ~ rp(sK3,X0)
| sK6 = X0
| sK4 = X0 )
| ~ spl9_6
| ~ spl9_7
| ~ spl9_10 ),
inference(resolution,[],[f152,f116]) ).
fof(f215,plain,
( ! [X0] :
( ~ rp(sK3,X0)
| sK6 = X0
| sK4 = X0 )
| ~ spl9_6
| ~ spl9_7
| ~ spl9_10
| spl9_12 ),
inference(forward_subsumption_resolution,[],[f209,f126]) ).
fof(f250,plain,
( sK5 = sK6
| sK4 = sK5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_10
| spl9_12 ),
inference(resolution,[],[f215,f111]) ).
fof(f255,plain,
( sK4 = sK5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_10
| spl9_11
| spl9_12 ),
inference(forward_subsumption_resolution,[],[f250,f121]) ).
fof(f257,plain,
( $false
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_10
| spl9_11
| spl9_12
| spl9_13 ),
inference(forward_subsumption_resolution,[],[f255,f131]) ).
fof(f258,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_10
| spl9_11
| spl9_12
| spl9_13 ),
inference(avatar_contradiction_clause,[],[f257]) ).
cnf(s1,plain,
( spl9_1
| spl9_2
| ~ spl9_3
| spl9_4
| ~ spl9_5 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( spl9_1
| ~ spl9_2
| spl9_3
| spl9_4
| ~ spl9_5 ),
inference(sat_conversion,[],[f94]) ).
cnf(s3,plain,
( ~ spl9_1
| spl9_6 ),
inference(sat_conversion,[],[f99]) ).
cnf(s4,plain,
( ~ spl9_1
| spl9_7
| spl9_8 ),
inference(sat_conversion,[],[f107]) ).
cnf(s5,plain,
( ~ spl9_1
| spl9_8
| spl9_9 ),
inference(sat_conversion,[],[f112]) ).
cnf(s6,plain,
( ~ spl9_1
| spl9_8
| spl9_10 ),
inference(sat_conversion,[],[f117]) ).
cnf(s7,plain,
( ~ spl9_1
| spl9_8
| ~ spl9_11 ),
inference(sat_conversion,[],[f122]) ).
cnf(s8,plain,
( ~ spl9_1
| spl9_8
| ~ spl9_12 ),
inference(sat_conversion,[],[f127]) ).
cnf(s9,plain,
( ~ spl9_1
| spl9_8
| ~ spl9_13 ),
inference(sat_conversion,[],[f132]) ).
cnf(s10,plain,
spl9_5,
inference(sat_conversion,[],[f134]) ).
cnf(s11,plain,
( spl9_2
| spl9_3 ),
inference(sat_conversion,[],[f138]) ).
cnf(s12,plain,
~ spl9_4,
inference(sat_conversion,[],[f140]) ).
cnf(s13,plain,
( ~ spl9_2
| ~ spl9_3 ),
inference(sat_conversion,[],[f142]) ).
cnf(s17,plain,
( ~ spl9_6
| ~ spl9_8 ),
inference(sat_conversion,[],[f198]) ).
cnf(s21,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_10
| spl9_11
| spl9_12
| spl9_13 ),
inference(sat_conversion,[],[f258]) ).
cnf(s23,plain,
( spl9_1
| ~ spl9_2
| spl9_3 ),
inference(rat,[],[s2,s10,s12]) ).
cnf(s24,plain,
( spl9_1
| spl9_2
| ~ spl9_3 ),
inference(rat,[],[s1,s10,s12]) ).
cnf(s25,plain,
( spl9_2
| spl9_1 ),
inference(rat,[],[s24,s11]) ).
cnf(s26,plain,
spl9_1,
inference(rat,[],[s23,s13,s25]) ).
cnf(s27,plain,
spl9_6,
inference(rat,[],[s3,s26]) ).
cnf(s28,plain,
~ spl9_8,
inference(rat,[],[s17,s27]) ).
cnf(s29,plain,
~ spl9_13,
inference(rat,[],[s9,s26,s28]) ).
cnf(s30,plain,
~ spl9_12,
inference(rat,[],[s8,s26,s28]) ).
cnf(s31,plain,
~ spl9_11,
inference(rat,[],[s7,s26,s28]) ).
cnf(s32,plain,
spl9_10,
inference(rat,[],[s6,s26,s28]) ).
cnf(s33,plain,
spl9_9,
inference(rat,[],[s5,s26,s28]) ).
cnf(s34,plain,
spl9_7,
inference(rat,[],[s4,s26,s28]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s21,s29,s30,s31,s32,s27,s33,s34]) ).
fof(f260,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.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 13:30:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % (3385634)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (3385642)dis+10_1_sil=32000:sp=arity:random_seed=324139894:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (3385642) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3385634-3385642"...
% 0.11/0.46 % (3385642)...printing done.
% 0.11/0.46 % (3385642)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3385642)------------------------------
% 0.11/0.46 % (3385642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3385642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3385642)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3385642)Termination reason: Refutation
% 0.11/0.46 % (3385642)Time elapsed: 0.004 s
% 0.11/0.46 % (3385642)Peak memory usage: 12 MB
% 0.11/0.46 % (3385642)Instructions burned: 7 (million)
% 0.11/0.46 % (3385634)Success in time 0.037 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------