%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS167+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 11:42:26 AM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 122 ( 12 unt; 6 def)
% Number of atoms : 449 ( 42 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 525 ( 198 ~; 241 |; 59 &)
% ( 21 <=>; 4 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-1 aty)
% Number of variables : 130 ( 0 sgn 98 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f10,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f11,axiom,
! [X0] :
( cc1(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X1,X2] :
( ( rp(X0,X1)
& rp(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f12,axiom,
! [X0] :
( cc2(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X1,X2] :
( ( rp(X0,X1)
& rp(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f13,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cc1(X0)
<=> cc2(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f14,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cc1(X0)
<=> cc2(X0) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0] :
( cc1(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( ( rp(X0,X2)
& rp(X0,X3) )
=> X2 = X3 ) ) ),
inference(rectify,[],[f11]) ).
fof(f16,plain,
! [X0] :
( cc2(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( ( rp(X0,X2)
& rp(X0,X3) )
=> X2 = X3 ) ) ),
inference(rectify,[],[f12]) ).
fof(f17,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cc1(X2)
<=> cc2(X2) ) ),
inference(rectify,[],[f14]) ).
fof(f34,plain,
! [X0] :
( cc1(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0] :
( cc1(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0] :
( cc2(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0] :
( cc2(X0)
<=> ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cc1(X2)
<~> cc2(X2) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f39,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f40,plain,
! [X0] :
( ( cc1(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) )
| ~ cc1(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f41,plain,
! [X0] :
( ( cc1(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) )
| ~ cc1(X0) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ( cc1(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X4] : rp(X0,X4)
& ! [X5,X6] :
( X5 = X6
| ~ rp(X0,X5)
| ~ rp(X0,X6) ) )
| ~ cc1(X0) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ( cc1(X0)
| ! [X1] : ~ rp(X0,X1)
| ( sK0(X0) != sK1(X0)
& rp(X0,sK0(X0))
& rp(X0,sK1(X0)) ) )
& ( ( rp(X0,sK2(X0))
& ! [X5,X6] :
( X5 = X6
| ~ rp(X0,X5)
| ~ rp(X0,X6) ) )
| ~ cc1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0)),skolemize(X3,sK1(X0)),skolemize(X4,sK2(X0))],[f42]) ).
fof(f44,plain,
! [X0] :
( ( cc2(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) )
| ~ cc2(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f45,plain,
! [X0] :
( ( cc2(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X1] : rp(X0,X1)
& ! [X2,X3] :
( X2 = X3
| ~ rp(X0,X2)
| ~ rp(X0,X3) ) )
| ~ cc2(X0) ) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( cc2(X0)
| ! [X1] : ~ rp(X0,X1)
| ? [X2,X3] :
( X2 != X3
& rp(X0,X2)
& rp(X0,X3) ) )
& ( ( ? [X4] : rp(X0,X4)
& ! [X5,X6] :
( X5 = X6
| ~ rp(X0,X5)
| ~ rp(X0,X6) ) )
| ~ cc2(X0) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ( cc2(X0)
| ! [X1] : ~ rp(X0,X1)
| ( sK3(X0) != sK4(X0)
& rp(X0,sK3(X0))
& rp(X0,sK4(X0)) ) )
& ( ( rp(X0,sK5(X0))
& ! [X5,X6] :
( X5 = X6
| ~ rp(X0,X5)
| ~ rp(X0,X6) ) )
| ~ cc2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0)),skolemize(X4,sK5(X0))],[f46]) ).
fof(f48,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ~ cc2(X2)
| ~ cc1(X2) )
& ( cc2(X2)
| cc1(X2) ) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f49,plain,
( ~ cowlThing(sK6)
| cowlNothing(sK6)
| ( ( xsd_integer(sK7)
| ~ xsd_string(sK7) )
& ( ~ xsd_integer(sK7)
| xsd_string(sK7) ) )
| ( ( ~ cc2(sK8)
| ~ cc1(sK8) )
& ( cc2(sK8)
| cc1(sK8) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f48]) ).
fof(f58,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f9]) ).
fof(f59,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f61,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X0,X6,X5] :
( ~ cc1(X0)
| ~ rp(X0,X5)
| ~ rp(X0,X6)
| X5 = X6 ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
! [X0] :
( ~ cc1(X0)
| rp(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f64,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc1(X0)
| rp(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f65,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc1(X0)
| rp(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f66,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc1(X0)
| sK0(X0) != sK1(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f67,plain,
! [X0,X6,X5] :
( ~ cc2(X0)
| ~ rp(X0,X5)
| ~ rp(X0,X6)
| X5 = X6 ),
inference(cnf_transformation,[],[f47]) ).
fof(f68,plain,
! [X0] :
( ~ cc2(X0)
| rp(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f69,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc2(X0)
| rp(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f70,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc2(X0)
| rp(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cc2(X0)
| sK3(X0) != sK4(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f72,plain,
( ~ cowlThing(sK6)
| cowlNothing(sK6)
| ~ xsd_integer(sK7)
| xsd_string(sK7)
| cc2(sK8)
| cc1(sK8) ),
inference(cnf_transformation,[],[f49]) ).
fof(f73,plain,
( ~ cowlThing(sK6)
| cowlNothing(sK6)
| ~ xsd_integer(sK7)
| xsd_string(sK7)
| ~ cc2(sK8)
| ~ cc1(sK8) ),
inference(cnf_transformation,[],[f49]) ).
fof(f74,plain,
( ~ cowlThing(sK6)
| cowlNothing(sK6)
| xsd_integer(sK7)
| ~ xsd_string(sK7)
| cc2(sK8)
| cc1(sK8) ),
inference(cnf_transformation,[],[f49]) ).
fof(f75,plain,
( ~ cowlThing(sK6)
| cowlNothing(sK6)
| xsd_integer(sK7)
| ~ xsd_string(sK7)
| ~ cc2(sK8)
| ~ cc1(sK8) ),
inference(cnf_transformation,[],[f49]) ).
fof(f77,definition,
( spl9_1
<=> cc1(sK8) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f78,plain,
( ~ cc1(sK8)
| spl9_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f79,plain,
( cc1(sK8)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f81,definition,
( spl9_2
<=> cc2(sK8) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f82,plain,
( ~ cc2(sK8)
| spl9_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( cc2(sK8)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl9_3
<=> xsd_string(sK7) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f86,plain,
( ~ xsd_string(sK7)
| spl9_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( xsd_string(sK7)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl9_4
<=> xsd_integer(sK7) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f90,plain,
( xsd_integer(sK7)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( ~ xsd_integer(sK7)
| spl9_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl9_5
<=> cowlNothing(sK6) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f95,plain,
( cowlNothing(sK6)
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f97,definition,
( spl9_6
<=> cowlThing(sK6) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f99,plain,
( ~ cowlThing(sK6)
| spl9_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl9_1
| spl9_2
| spl9_3
| ~ spl9_4
| spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f72,f97,f93,f89,f85,f81,f77]) ).
fof(f101,plain,
( ~ spl9_1
| ~ spl9_2
| spl9_3
| ~ spl9_4
| spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f73,f97,f93,f89,f85,f81,f77]) ).
fof(f102,plain,
( spl9_1
| spl9_2
| ~ spl9_3
| spl9_4
| spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f74,f97,f93,f89,f85,f81,f77]) ).
fof(f103,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_4
| spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f75,f97,f93,f89,f85,f81,f77]) ).
fof(f104,plain,
( $false
| spl9_6 ),
inference(forward_subsumption_resolution,[],[f99,f59]) ).
fof(f105,plain,
spl9_6,
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f106,plain,
( xsd_integer(sK7)
| spl9_3 ),
inference(resolution,[],[f61,f86]) ).
fof(f108,plain,
( $false
| spl9_3
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f106,f91]) ).
fof(f109,plain,
( spl9_3
| spl9_4 ),
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f110,plain,
( $false
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f95,f58]) ).
fof(f111,plain,
~ spl9_5,
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f112,plain,
( rp(sK8,sK2(sK8))
| ~ spl9_1 ),
inference(resolution,[],[f63,f79]) ).
fof(f125,plain,
( cc2(sK8)
| rp(sK8,sK4(sK8))
| ~ spl9_1 ),
inference(resolution,[],[f69,f112]) ).
fof(f126,plain,
( rp(sK8,sK4(sK8))
| ~ spl9_1
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f125,f82]) ).
fof(f127,plain,
( cc2(sK8)
| rp(sK8,sK3(sK8))
| ~ spl9_1 ),
inference(resolution,[],[f70,f112]) ).
fof(f128,plain,
( rp(sK8,sK3(sK8))
| ~ spl9_1
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f127,f82]) ).
fof(f146,plain,
( cc2(sK8)
| sK4(sK8) != sK3(sK8)
| ~ spl9_1
| spl9_2 ),
inference(resolution,[],[f71,f128]) ).
fof(f147,plain,
( sK4(sK8) != sK3(sK8)
| ~ spl9_1
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f146,f82]) ).
fof(f150,plain,
( ! [X0,X1] :
( ~ rp(sK8,X0)
| ~ rp(sK8,X1)
| X0 = X1 )
| ~ spl9_1 ),
inference(resolution,[],[f62,f79]) ).
fof(f153,plain,
( ! [X0] :
( ~ rp(sK8,X0)
| sK2(sK8) = X0 )
| ~ spl9_1 ),
inference(resolution,[],[f150,f112]) ).
fof(f157,plain,
( sK2(sK8) = sK4(sK8)
| ~ spl9_1
| spl9_2 ),
inference(resolution,[],[f153,f126]) ).
fof(f158,plain,
( sK2(sK8) = sK3(sK8)
| ~ spl9_1
| spl9_2 ),
inference(resolution,[],[f153,f128]) ).
fof(f160,plain,
( sK2(sK8) != sK3(sK8)
| ~ spl9_1
| spl9_2 ),
inference(superposition,[],[f147,f157]) ).
fof(f162,plain,
( $false
| ~ spl9_1
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f160,f158]) ).
fof(f163,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f164,plain,
( ! [X0,X1] :
( ~ rp(sK8,X0)
| ~ rp(sK8,X1)
| X0 = X1 )
| ~ spl9_2 ),
inference(resolution,[],[f83,f67]) ).
fof(f166,plain,
( rp(sK8,sK5(sK8))
| ~ spl9_2 ),
inference(resolution,[],[f83,f68]) ).
fof(f168,plain,
( ~ xsd_integer(sK7)
| ~ spl9_3 ),
inference(resolution,[],[f87,f60]) ).
fof(f169,plain,
( $false
| ~ spl9_3
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f168,f90]) ).
fof(f170,plain,
( ~ spl9_3
| ~ spl9_4 ),
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f174,plain,
( cc1(sK8)
| rp(sK8,sK1(sK8))
| ~ spl9_2 ),
inference(resolution,[],[f166,f64]) ).
fof(f175,plain,
( cc1(sK8)
| rp(sK8,sK0(sK8))
| ~ spl9_2 ),
inference(resolution,[],[f166,f65]) ).
fof(f176,plain,
( cc1(sK8)
| sK1(sK8) != sK0(sK8)
| ~ spl9_2 ),
inference(resolution,[],[f166,f66]) ).
fof(f180,plain,
( sK1(sK8) != sK0(sK8)
| spl9_1
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f176,f78]) ).
fof(f181,plain,
( rp(sK8,sK0(sK8))
| spl9_1
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f175,f78]) ).
fof(f182,plain,
( rp(sK8,sK1(sK8))
| spl9_1
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f174,f78]) ).
fof(f192,plain,
( ! [X0] :
( ~ rp(sK8,X0)
| sK5(sK8) = X0 )
| ~ spl9_2 ),
inference(resolution,[],[f164,f166]) ).
fof(f206,plain,
( sK0(sK8) = sK5(sK8)
| spl9_1
| ~ spl9_2 ),
inference(resolution,[],[f192,f181]) ).
fof(f207,plain,
( sK1(sK8) = sK5(sK8)
| spl9_1
| ~ spl9_2 ),
inference(resolution,[],[f192,f182]) ).
fof(f210,plain,
( sK1(sK8) = sK0(sK8)
| spl9_1
| ~ spl9_2 ),
inference(superposition,[],[f207,f206]) ).
fof(f216,plain,
( $false
| spl9_1
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f210,f180]) ).
fof(f217,plain,
( spl9_1
| ~ spl9_2 ),
inference(avatar_contradiction_clause,[],[f216]) ).
cnf(s1,plain,
( spl9_1
| spl9_2
| spl9_3
| ~ spl9_4
| spl9_5
| ~ spl9_6 ),
inference(sat_conversion,[],[f100]) ).
cnf(s2,plain,
( ~ spl9_1
| ~ spl9_2
| spl9_3
| ~ spl9_4
| spl9_5
| ~ spl9_6 ),
inference(sat_conversion,[],[f101]) ).
cnf(s3,plain,
( spl9_1
| spl9_2
| ~ spl9_3
| spl9_4
| spl9_5
| ~ spl9_6 ),
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_4
| spl9_5
| ~ spl9_6 ),
inference(sat_conversion,[],[f103]) ).
cnf(s5,plain,
spl9_6,
inference(sat_conversion,[],[f105]) ).
cnf(s6,plain,
( spl9_3
| spl9_4 ),
inference(sat_conversion,[],[f109]) ).
cnf(s7,plain,
~ spl9_5,
inference(sat_conversion,[],[f111]) ).
cnf(s8,plain,
( ~ spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f163]) ).
cnf(s9,plain,
( ~ spl9_3
| ~ spl9_4 ),
inference(sat_conversion,[],[f170]) ).
cnf(s11,plain,
( spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f217]) ).
cnf(s12,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_4 ),
inference(rat,[],[s4,s5,s7]) ).
cnf(s13,plain,
( spl9_1
| spl9_2
| ~ spl9_3
| spl9_4 ),
inference(rat,[],[s3,s5,s7]) ).
cnf(s14,plain,
( ~ spl9_1
| ~ spl9_2
| spl9_3
| ~ spl9_4 ),
inference(rat,[],[s2,s5,s7]) ).
cnf(s15,plain,
( spl9_1
| spl9_2
| spl9_3
| ~ spl9_4 ),
inference(rat,[],[s1,s5,s7]) ).
cnf(s16,plain,
( spl9_3
| spl9_1 ),
inference(rat,[],[s15,s6,s11]) ).
cnf(s17,plain,
spl9_1,
inference(rat,[],[s13,s9,s16,s11]) ).
cnf(s18,plain,
spl9_2,
inference(rat,[],[s8,s17]) ).
cnf(s19,plain,
spl9_3,
inference(rat,[],[s14,s6,s17,s18]) ).
cnf(s20,plain,
~ spl9_4,
inference(rat,[],[s9,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s12,s18,s17,s20,s19]) ).
fof(f218,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS167+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 13:39:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 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
% 0.12/0.42 % (3576612)Will run a generic schedule for satisfiability detection.
% 0.12/0.42 % (3576622)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=676882805:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.42 % (3576622) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3576612-3576622"...
% 0.12/0.42 % (3576622)...printing done.
% 0.12/0.42 % (3576618)% WARNING: option uhcvi not known.
% 0.12/0.42 % (3576622)Refutation found. Thanks to Tanya!
% 0.12/0.42 % SZS status Theorem for theBenchmark
% 0.12/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.42 % (3576622)------------------------------
% 0.12/0.42 % (3576622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.42 % (3576622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.42 % (3576622)CaDiCaL version: 2.1.3
% 0.12/0.42 % (3576622)Termination reason: Refutation
% 0.12/0.42 % (3576622)Time elapsed: 0.003 s
% 0.12/0.42 % (3576622)Peak memory usage: 12 MB
% 0.12/0.42 % (3576622)Instructions burned: 6 (million)
% 0.12/0.42 % (3576612)Success in time 0.026 s
% 0.12/0.42 % Vampire exiting
%------------------------------------------------------------------------------