%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS140+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:41:45 AM UTC 2026
% Result : Theorem 2.73s 1.29s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 155 ( 25 unt; 14 def)
% Number of atoms : 508 ( 28 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 603 ( 250 ~; 298 |; 30 &)
% ( 18 <=>; 5 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 69 ( 0 sgn 51 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f8,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f9,axiom,
! [X0,X1] :
( rsymProp(X0,X1)
=> ( X1 = ia
| X1 = ib ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f10,axiom,
! [X0,X1] :
( rsymProp(X0,X1)
=> rsymProp(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
rsymProp(ia,ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
rsymProp(ib,ib),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f15,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1,X2] :
( ( rsymProp(X0,X1)
& rsymProp(X1,X2) )
=> rsymProp(X0,X2) )
& ? [X0] :
( rsymProp(ia,X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f16,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1,X2] :
( ( rsymProp(X0,X1)
& rsymProp(X1,X2) )
=> rsymProp(X0,X2) )
& ? [X0] :
( rsymProp(ia,X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2,X3,X4] :
( ( rsymProp(X2,X3)
& rsymProp(X3,X4) )
=> rsymProp(X2,X4) )
& ? [X5] :
( rsymProp(ia,X5)
& cowlThing(X5) ) ),
inference(rectify,[],[f16]) ).
fof(f30,plain,
! [X0,X1] :
( X1 = ia
| X1 = ib
| ~ rsymProp(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0,X1] :
( X1 = ia
| X1 = ib
| ~ rsymProp(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( rsymProp(X1,X0)
| ~ rsymProp(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f33,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2,X3,X4] :
( ~ rsymProp(X2,X4)
& rsymProp(X2,X3)
& rsymProp(X3,X4) )
| ! [X5] :
( ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f34,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2,X3,X4] :
( ~ rsymProp(X2,X4)
& rsymProp(X2,X3)
& rsymProp(X3,X4) )
| ! [X5] :
( ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f36,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2,X3,X4] :
( ~ rsymProp(X2,X4)
& rsymProp(X2,X3)
& rsymProp(X3,X4) )
| ! [X5] :
( ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f37,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ( ~ rsymProp(sK2,sK4)
& rsymProp(sK2,sK3)
& rsymProp(sK3,sK4) )
| ! [X5] :
( ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f36]) ).
fof(f44,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| ib = X1
| ia = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f49,plain,
! [X0,X1] :
( rsymProp(X1,X0)
| ~ rsymProp(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
rsymProp(ia,ia),
inference(cnf_transformation,[],[f12]) ).
fof(f53,plain,
rsymProp(ib,ib),
inference(cnf_transformation,[],[f14]) ).
fof(f54,plain,
! [X5] :
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| rsymProp(sK3,sK4)
| ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
! [X5] :
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| rsymProp(sK2,sK3)
| ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X5] :
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f57,plain,
! [X5] :
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| rsymProp(sK3,sK4)
| ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f58,plain,
! [X5] :
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| rsymProp(sK2,sK3)
| ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
! [X5] :
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rsymProp(sK2,sK4)
| ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,definition,
( spl5_1
<=> ! [X5] :
( ~ rsymProp(ia,X5)
| ~ cowlThing(X5) ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f68,plain,
( ! [X5] :
( ~ rsymProp(ia,X5)
| ~ cowlThing(X5) )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl5_2
<=> rsymProp(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f72,plain,
( rsymProp(sK3,sK4)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl5_3
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f75,plain,
( ~ xsd_string(sK1)
| spl5_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( xsd_string(sK1)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl5_4
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f80,plain,
( ~ xsd_integer(sK1)
| spl5_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f82,definition,
( spl5_5
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f84,plain,
( cowlNothing(sK0)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl5_6
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f88,plain,
( ~ cowlThing(sK0)
| spl5_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( spl5_1
| spl5_2
| spl5_3
| ~ spl5_4
| spl5_5
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f54,f86,f82,f78,f74,f70,f67]) ).
fof(f91,definition,
( spl5_7
<=> rsymProp(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f93,plain,
( rsymProp(sK2,sK3)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( spl5_1
| spl5_7
| spl5_3
| ~ spl5_4
| spl5_5
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f55,f86,f82,f78,f74,f91,f67]) ).
fof(f96,definition,
( spl5_8
<=> rsymProp(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
fof(f98,plain,
( ~ rsymProp(sK2,sK4)
| spl5_8 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl5_1
| ~ spl5_8
| spl5_3
| ~ spl5_4
| spl5_5
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f56,f86,f82,f78,f74,f96,f67]) ).
fof(f100,plain,
( spl5_1
| spl5_2
| ~ spl5_3
| spl5_4
| spl5_5
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f57,f86,f82,f78,f74,f70,f67]) ).
fof(f101,plain,
( spl5_1
| spl5_7
| ~ spl5_3
| spl5_4
| spl5_5
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f58,f86,f82,f78,f74,f91,f67]) ).
fof(f102,plain,
( spl5_1
| ~ spl5_8
| ~ spl5_3
| spl5_4
| spl5_5
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f59,f86,f82,f78,f74,f96,f67]) ).
fof(f103,plain,
( $false
| spl5_6 ),
inference(resolution,[],[f45,f88]) ).
fof(f104,plain,
spl5_6,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f105,plain,
( xsd_string(sK1)
| spl5_4 ),
inference(resolution,[],[f47,f80]) ).
fof(f106,plain,
( $false
| spl5_3
| spl5_4 ),
inference(forward_subsumption_resolution,[],[f105,f75]) ).
fof(f107,plain,
( spl5_3
| spl5_4 ),
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f108,plain,
( $false
| ~ spl5_5 ),
inference(forward_subsumption_resolution,[],[f84,f44]) ).
fof(f109,plain,
~ spl5_5,
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f110,plain,
( ! [X5] : ~ rsymProp(ia,X5)
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f68,f45]) ).
fof(f111,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f110,f51]) ).
fof(f112,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f113,plain,
( ~ xsd_integer(sK1)
| ~ spl5_3 ),
inference(resolution,[],[f76,f46]) ).
fof(f116,plain,
( ~ spl5_4
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f113,f74,f78]) ).
fof(f119,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| ia = X0
| ib = X0 ),
inference(resolution,[],[f48,f49]) ).
fof(f123,plain,
( ib = sK4
| ia = sK4
| ~ spl5_2 ),
inference(resolution,[],[f48,f72]) ).
fof(f125,definition,
( spl5_9
<=> ia = sK4 ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
fof(f127,plain,
( ia = sK4
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,definition,
( spl5_10
<=> ib = sK4 ),
introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).
fof(f131,plain,
( ib = sK4
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( spl5_9
| spl5_10
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f123,f70,f129,f125]) ).
fof(f134,definition,
( spl5_11
<=> ia = sK3 ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
fof(f136,plain,
( ia = sK3
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f138,definition,
( spl5_12
<=> ib = sK3 ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f140,plain,
( ib = sK3
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f144,plain,
( ~ rsymProp(sK2,ia)
| spl5_8
| ~ spl5_9 ),
inference(superposition,[],[f98,f127]) ).
fof(f146,plain,
( rsymProp(sK2,ia)
| ~ spl5_7
| ~ spl5_11 ),
inference(superposition,[],[f93,f136]) ).
fof(f147,plain,
( rsymProp(ia,sK4)
| ~ spl5_2
| ~ spl5_11 ),
inference(superposition,[],[f72,f136]) ).
fof(f152,plain,
( ia = sK2
| ib = sK2
| ~ spl5_7 ),
inference(resolution,[],[f119,f93]) ).
fof(f153,plain,
( ia = sK3
| ib = sK3
| ~ spl5_2 ),
inference(resolution,[],[f119,f72]) ).
fof(f155,definition,
( spl5_13
<=> ib = sK2 ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
fof(f157,plain,
( ib = sK2
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f159,definition,
( spl5_14
<=> ia = sK2 ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
fof(f161,plain,
( ia = sK2
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,plain,
( spl5_13
| spl5_14
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f152,f91,f159,f155]) ).
fof(f166,plain,
( $false
| ~ spl5_7
| spl5_8
| ~ spl5_9
| ~ spl5_11 ),
inference(forward_subsumption_resolution,[],[f146,f144]) ).
fof(f167,plain,
( ~ spl5_7
| spl5_8
| ~ spl5_9
| ~ spl5_11 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f168,plain,
( spl5_12
| spl5_11
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f153,f70,f134,f138]) ).
fof(f170,plain,
( rsymProp(sK2,ib)
| ~ spl5_7
| ~ spl5_12 ),
inference(superposition,[],[f93,f140]) ).
fof(f171,plain,
( rsymProp(ib,sK4)
| ~ spl5_2
| ~ spl5_12 ),
inference(superposition,[],[f72,f140]) ).
fof(f172,plain,
( rsymProp(ib,ia)
| ~ spl5_2
| ~ spl5_9
| ~ spl5_12 ),
inference(forward_demodulation,[],[f171,f127]) ).
fof(f174,plain,
( ~ rsymProp(ib,ia)
| spl5_8
| ~ spl5_9
| ~ spl5_13 ),
inference(superposition,[],[f144,f157]) ).
fof(f177,plain,
( ~ rsymProp(ib,sK4)
| spl5_8
| ~ spl5_13 ),
inference(superposition,[],[f98,f157]) ).
fof(f185,plain,
( $false
| ~ spl5_2
| spl5_8
| ~ spl5_9
| ~ spl5_12
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f174,f172]) ).
fof(f186,plain,
( ~ spl5_2
| spl5_8
| ~ spl5_9
| ~ spl5_12
| ~ spl5_13 ),
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f188,plain,
( ~ rsymProp(ia,sK4)
| spl5_8
| ~ spl5_14 ),
inference(superposition,[],[f98,f161]) ).
fof(f198,plain,
( ~ rsymProp(ia,ia)
| spl5_8
| ~ spl5_9
| ~ spl5_14 ),
inference(forward_demodulation,[],[f188,f127]) ).
fof(f202,plain,
( $false
| spl5_8
| ~ spl5_9
| ~ spl5_14 ),
inference(forward_subsumption_resolution,[],[f198,f51]) ).
fof(f203,plain,
( spl5_8
| ~ spl5_9
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f206,plain,
( ~ rsymProp(sK2,ib)
| spl5_8
| ~ spl5_10 ),
inference(superposition,[],[f98,f131]) ).
fof(f209,plain,
( ~ rsymProp(ia,ib)
| spl5_8
| ~ spl5_10
| ~ spl5_14 ),
inference(forward_demodulation,[],[f206,f161]) ).
fof(f211,plain,
( rsymProp(ia,ib)
| ~ spl5_7
| ~ spl5_12
| ~ spl5_14 ),
inference(forward_demodulation,[],[f170,f161]) ).
fof(f215,plain,
( $false
| ~ spl5_7
| spl5_8
| ~ spl5_10
| ~ spl5_12
| ~ spl5_14 ),
inference(forward_subsumption_resolution,[],[f211,f209]) ).
fof(f216,plain,
( ~ spl5_7
| spl5_8
| ~ spl5_10
| ~ spl5_12
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f218,plain,
( ~ rsymProp(ib,ib)
| spl5_8
| ~ spl5_10
| ~ spl5_13 ),
inference(forward_demodulation,[],[f177,f131]) ).
fof(f222,plain,
( $false
| spl5_8
| ~ spl5_10
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f218,f53]) ).
fof(f223,plain,
( spl5_8
| ~ spl5_10
| ~ spl5_13 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f224,plain,
( rsymProp(ia,ib)
| ~ spl5_2
| ~ spl5_10
| ~ spl5_11 ),
inference(forward_demodulation,[],[f147,f131]) ).
fof(f247,plain,
( $false
| ~ spl5_2
| spl5_8
| ~ spl5_10
| ~ spl5_11
| ~ spl5_14 ),
inference(forward_subsumption_resolution,[],[f224,f209]) ).
fof(f248,plain,
( ~ spl5_2
| spl5_8
| ~ spl5_10
| ~ spl5_11
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f247]) ).
cnf(s1,plain,
( spl5_1
| spl5_2
| spl5_3
| ~ spl5_4
| spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f89]) ).
cnf(s2,plain,
( spl5_1
| spl5_3
| ~ spl5_4
| spl5_5
| ~ spl5_6
| spl5_7 ),
inference(sat_conversion,[],[f94]) ).
cnf(s3,plain,
( spl5_1
| spl5_3
| ~ spl5_4
| spl5_5
| ~ spl5_6
| ~ spl5_8 ),
inference(sat_conversion,[],[f99]) ).
cnf(s4,plain,
( spl5_1
| spl5_2
| ~ spl5_3
| spl5_4
| spl5_5
| ~ spl5_6 ),
inference(sat_conversion,[],[f100]) ).
cnf(s5,plain,
( spl5_1
| ~ spl5_3
| spl5_4
| spl5_5
| ~ spl5_6
| spl5_7 ),
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
( spl5_1
| ~ spl5_3
| spl5_4
| spl5_5
| ~ spl5_6
| ~ spl5_8 ),
inference(sat_conversion,[],[f102]) ).
cnf(s7,plain,
spl5_6,
inference(sat_conversion,[],[f104]) ).
cnf(s8,plain,
( spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f107]) ).
cnf(s9,plain,
~ spl5_5,
inference(sat_conversion,[],[f109]) ).
cnf(s10,plain,
~ spl5_1,
inference(sat_conversion,[],[f112]) ).
cnf(s12,plain,
( ~ spl5_3
| ~ spl5_4 ),
inference(sat_conversion,[],[f116]) ).
cnf(s13,plain,
( ~ spl5_2
| spl5_9
| spl5_10 ),
inference(sat_conversion,[],[f132]) ).
cnf(s15,plain,
( ~ spl5_7
| spl5_13
| spl5_14 ),
inference(sat_conversion,[],[f162]) ).
cnf(s16,plain,
( ~ spl5_7
| spl5_8
| ~ spl5_9
| ~ spl5_11 ),
inference(sat_conversion,[],[f167]) ).
cnf(s17,plain,
( ~ spl5_2
| spl5_11
| spl5_12 ),
inference(sat_conversion,[],[f168]) ).
cnf(s18,plain,
( ~ spl5_2
| spl5_8
| ~ spl5_9
| ~ spl5_12
| ~ spl5_13 ),
inference(sat_conversion,[],[f186]) ).
cnf(s22,plain,
( spl5_8
| ~ spl5_9
| ~ spl5_14 ),
inference(sat_conversion,[],[f203]) ).
cnf(s23,plain,
( ~ spl5_7
| spl5_8
| ~ spl5_10
| ~ spl5_12
| ~ spl5_14 ),
inference(sat_conversion,[],[f216]) ).
cnf(s25,plain,
( spl5_8
| ~ spl5_10
| ~ spl5_13 ),
inference(sat_conversion,[],[f223]) ).
cnf(s27,plain,
( ~ spl5_2
| spl5_8
| ~ spl5_10
| ~ spl5_11
| ~ spl5_14 ),
inference(sat_conversion,[],[f248]) ).
cnf(s28,plain,
( ~ spl5_3
| spl5_4
| ~ spl5_8 ),
inference(rat,[],[s6,s7,s9,s10]) ).
cnf(s29,plain,
( ~ spl5_3
| spl5_4
| spl5_7 ),
inference(rat,[],[s5,s7,s9,s10]) ).
cnf(s30,plain,
( spl5_2
| ~ spl5_3
| spl5_4 ),
inference(rat,[],[s4,s7,s9,s10]) ).
cnf(s31,plain,
( spl5_3
| ~ spl5_4
| ~ spl5_8 ),
inference(rat,[],[s3,s7,s9,s10]) ).
cnf(s32,plain,
( spl5_3
| ~ spl5_4
| spl5_7 ),
inference(rat,[],[s2,s7,s9,s10]) ).
cnf(s33,plain,
( spl5_2
| spl5_3
| ~ spl5_4 ),
inference(rat,[],[s1,s7,s9,s10]) ).
cnf(s34,plain,
( spl5_3
| spl5_2 ),
inference(rat,[],[s33,s8]) ).
cnf(s35,plain,
spl5_2,
inference(rat,[],[s30,s12,s34]) ).
cnf(s36,plain,
( ~ spl5_10
| spl5_3 ),
inference(rat,[],[s17,s23,s27,s15,s25,s31,s32,s8,s35]) ).
cnf(s37,plain,
( ~ spl5_4
| spl5_3 ),
inference(rat,[],[s18,s17,s15,s16,s22,s13,s36,s32,s31,s35]) ).
cnf(s38,plain,
spl5_3,
inference(rat,[],[s37,s8]) ).
cnf(s39,plain,
~ spl5_4,
inference(rat,[],[s12,s38]) ).
cnf(s40,plain,
~ spl5_8,
inference(rat,[],[s28,s38,s39]) ).
cnf(s41,plain,
spl5_7,
inference(rat,[],[s29,s38,s39]) ).
cnf(s42,plain,
( ~ spl5_14
| ~ spl5_10 ),
inference(rat,[],[s17,s23,s27,s41,s40,s35]) ).
cnf(s43,plain,
~ spl5_10,
inference(rat,[],[s42,s15,s25,s41,s40]) ).
cnf(s44,plain,
spl5_9,
inference(rat,[],[s13,s35,s43]) ).
cnf(s45,plain,
~ spl5_14,
inference(rat,[],[s22,s40,s44]) ).
cnf(s46,plain,
~ spl5_11,
inference(rat,[],[s16,s41,s40,s44]) ).
cnf(s47,plain,
spl5_13,
inference(rat,[],[s15,s41,s45]) ).
cnf(s48,plain,
spl5_12,
inference(rat,[],[s17,s35,s46]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s18,s40,s35,s44,s48,s47]) ).
fof(f249,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS140+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.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 13:28:18 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.29 % (819366)Detected formulas, will run a generic FOF schedule.
% 2.73/1.29 % (819375)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4124835168:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.29 % (819375)Refutation not found, incomplete strategy
% 2.73/1.29 % (819375)------------------------------
% 2.73/1.29 % (819375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.29 % (819375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.29 % (819375)CaDiCaL version: 2.1.3
% 2.73/1.29 % (819375)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.29 % (819375)Time elapsed: 0.001 s
% 2.73/1.29 % (819375)Peak memory usage: 88 MB
% 2.73/1.29 % (819375)Instructions burned: 1 (million)
% 2.73/1.29 % (819371)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=319951750:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.29 % (819377)dis-21_1_sil=8000:lcm=predicate:random_seed=668308064:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.73/1.29 % (819373)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3234172890:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.29 % (819376)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=379275227:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.29 % (819372)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1228895950:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.29 % (819374)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2221043767:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.29 % (819377)Refutation not found, incomplete strategy
% 2.73/1.29 % (819377)------------------------------
% 2.73/1.29 % (819377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.29 % (819377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.29 % (819374)Refutation not found, incomplete strategy
% 2.73/1.29 % (819374)------------------------------
% 2.73/1.29 % (819374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.29 % (819377)CaDiCaL version: 2.1.3
% 2.73/1.29 % (819374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.29 % (819377)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.29 % (819377)Time elapsed: 0.002 s
% 2.73/1.29 % (819377)Peak memory usage: 88 MB
% 2.73/1.29 % (819377)Instructions burned: 1 (million)
% 2.73/1.29 % (819374)CaDiCaL version: 2.1.3
% 2.73/1.29 % (819374)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.29 % (819374)Time elapsed: 0.002 s
% 2.73/1.29 % (819374)Peak memory usage: 88 MB
% 2.73/1.29 % (819374)Instructions burned: 2 (million)
% 2.73/1.29 % (819376)First to succeed.
% 2.73/1.29 % (819376)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-819366"
% 2.73/1.29 % (819375)------------------------------
% 2.73/1.29 % (819375)------------------------------
% 2.73/1.29 % (819377)------------------------------
% 2.73/1.29 % (819377)------------------------------
% 2.73/1.29 % (819374)------------------------------
% 2.73/1.29 % (819374)------------------------------
% 2.73/1.29 % (819385)lrs+10_1_sil=8000:sp=occurrence:random_seed=1758185895:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.73/1.29 % (819385)Also succeeded, but the first one will report.
% 2.73/1.29 % (819376)Refutation found. Thanks to Tanya!
% 2.73/1.29 % SZS status Theorem for theBenchmark
% 2.73/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.49 % (819376)------------------------------
% 3.58/1.49 % (819376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.49 % (819376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.49 % (819376)CaDiCaL version: 2.1.3
% 3.58/1.49 % (819376)Termination reason: Refutation
% 3.58/1.49 % (819376)Time elapsed: 0.006 s
% 3.58/1.49 % (819376)Peak memory usage: 89 MB
% 3.58/1.49 % (819376)Instructions burned: 6 (million)
% 3.58/1.49 % (819376)------------------------------
% 3.58/1.49 % (819376)------------------------------
% 3.58/1.49 % (819366)Success in time 0.427 s
% 3.58/1.49 % Vampire exiting
%------------------------------------------------------------------------------