%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS138+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 : n011.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 11:41:44 AM UTC 2026
% Result : Theorem 2.76s 6.30s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 160 ( 31 unt; 19 def)
% Number of atoms : 574 ( 69 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 707 ( 293 ~; 322 |; 58 &)
% ( 23 <=>; 8 =>; 0 <=; 3 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 20 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 81 ( 0 sgn 51 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f9,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
! [X0] :
( cA(X0)
<=> ( X0 = ib
| X0 = ia ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( requalityOnA(X1,X0)
& requalityOnA(X2,X0) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
! [X0,X1] :
( requalityOnA(X0,X1)
=> cA(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f13,axiom,
cowlThing(ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
requalityOnA(ia,ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f15,axiom,
cowlThing(ib),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f16,axiom,
requalityOnA(ib,ib),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f17,axiom,
cowlThing(ic),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f18,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1] :
( requalityOnA(X0,X1)
=> ( X0 = ia
| X0 = ib
| X0 = ic ) )
& ! [X0,X1] :
( requalityOnA(X0,X1)
=> requalityOnA(X1,X0) )
& cowlThing(ia)
& requalityOnA(ia,ia)
& cowlThing(ib)
& cowlThing(ic) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f19,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1] :
( requalityOnA(X0,X1)
=> ( X0 = ia
| X0 = ib
| X0 = ic ) )
& ! [X0,X1] :
( requalityOnA(X0,X1)
=> requalityOnA(X1,X0) )
& cowlThing(ia)
& requalityOnA(ia,ia)
& cowlThing(ib)
& cowlThing(ic) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2,X3] :
( requalityOnA(X2,X3)
=> ( ia = X2
| ib = X2
| ic = X2 ) )
& ! [X4,X5] :
( requalityOnA(X4,X5)
=> requalityOnA(X5,X4) )
& cowlThing(ia)
& requalityOnA(ia,ia)
& cowlThing(ib)
& cowlThing(ic) ),
inference(rectify,[],[f19]) ).
fof(f35,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ requalityOnA(X1,X0)
| ~ requalityOnA(X2,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f36,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ requalityOnA(X1,X0)
| ~ requalityOnA(X2,X0) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( cA(X1)
| ~ requalityOnA(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f38,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2,X3] :
( ia != X2
& ib != X2
& ic != X2
& requalityOnA(X2,X3) )
| ? [X4,X5] :
( ~ requalityOnA(X5,X4)
& requalityOnA(X4,X5) )
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(ennf_transformation,[],[f20]) ).
fof(f39,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2,X3] :
( ia != X2
& ib != X2
& ic != X2
& requalityOnA(X2,X3) )
| ? [X4,X5] :
( ~ requalityOnA(X5,X4)
& requalityOnA(X4,X5) )
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(flattening,[],[f38]) ).
fof(f40,definition,
( ? [X2,X3] :
( ia != X2
& ib != X2
& ic != X2
& requalityOnA(X2,X3) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f41,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| sP0
| ? [X4,X5] :
( ~ requalityOnA(X5,X4)
& requalityOnA(X4,X5) )
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(definition_folding,[],[f39,f40]) ).
fof(f42,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f43,plain,
! [X0] :
( ( cA(X0)
| ( ib != X0
& ia != X0 ) )
& ( X0 = ib
| X0 = ia
| ~ cA(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f44,plain,
! [X0] :
( ( cA(X0)
| ( ib != X0
& ia != X0 ) )
& ( X0 = ib
| X0 = ia
| ~ cA(X0) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
( ? [X2,X3] :
( ia != X2
& ib != X2
& ic != X2
& requalityOnA(X2,X3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f40]) ).
fof(f46,plain,
( ? [X0,X1] :
( ia != X0
& ib != X0
& ic != X0
& requalityOnA(X0,X1) )
| ~ sP0 ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
( ( ia != sK1
& ib != sK1
& ic != sK1
& requalityOnA(sK1,sK2) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f46]) ).
fof(f48,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| sP0
| ? [X4,X5] :
( ~ requalityOnA(X5,X4)
& requalityOnA(X4,X5) )
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(nnf_transformation,[],[f41]) ).
fof(f49,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| sP0
| ? [X2,X3] :
( ~ requalityOnA(X3,X2)
& requalityOnA(X2,X3) )
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
( ~ cowlThing(sK3)
| cowlNothing(sK3)
| ( ( xsd_integer(sK4)
| ~ xsd_string(sK4) )
& ( ~ xsd_integer(sK4)
| xsd_string(sK4) ) )
| sP0
| ( ~ requalityOnA(sK6,sK5)
& requalityOnA(sK5,sK6) )
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f49]) ).
fof(f58,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f59,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f61,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f62,plain,
! [X0] :
( ~ cA(X0)
| ia = X0
| ib = X0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ requalityOnA(X1,X0)
| X1 = X2
| ~ requalityOnA(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f66,plain,
! [X0,X1] :
( cA(X1)
| ~ requalityOnA(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
cowlThing(ia),
inference(cnf_transformation,[],[f13]) ).
fof(f68,plain,
requalityOnA(ia,ia),
inference(cnf_transformation,[],[f14]) ).
fof(f69,plain,
cowlThing(ib),
inference(cnf_transformation,[],[f15]) ).
fof(f70,plain,
requalityOnA(ib,ib),
inference(cnf_transformation,[],[f16]) ).
fof(f71,plain,
cowlThing(ic),
inference(cnf_transformation,[],[f17]) ).
fof(f72,plain,
( requalityOnA(sK1,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f74,plain,
( ib != sK1
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f75,plain,
( ia != sK1
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f76,plain,
( ~ cowlThing(sK3)
| cowlNothing(sK3)
| ~ xsd_integer(sK4)
| xsd_string(sK4)
| sP0
| requalityOnA(sK5,sK6)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(cnf_transformation,[],[f50]) ).
fof(f77,plain,
( ~ cowlThing(sK3)
| cowlNothing(sK3)
| ~ xsd_integer(sK4)
| xsd_string(sK4)
| sP0
| ~ requalityOnA(sK6,sK5)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(cnf_transformation,[],[f50]) ).
fof(f78,plain,
( ~ cowlThing(sK3)
| cowlNothing(sK3)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| sP0
| requalityOnA(sK5,sK6)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(cnf_transformation,[],[f50]) ).
fof(f79,plain,
( ~ cowlThing(sK3)
| cowlNothing(sK3)
| xsd_integer(sK4)
| ~ xsd_string(sK4)
| sP0
| ~ requalityOnA(sK6,sK5)
| ~ cowlThing(ia)
| ~ requalityOnA(ia,ia)
| ~ cowlThing(ib)
| ~ cowlThing(ic) ),
inference(cnf_transformation,[],[f50]) ).
fof(f90,definition,
( spl7_1
<=> cowlThing(ic) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f94,definition,
( spl7_2
<=> cowlThing(ib) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f98,definition,
( spl7_3
<=> requalityOnA(ia,ia) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f99,plain,
( requalityOnA(ia,ia)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f102,definition,
( spl7_4
<=> cowlThing(ia) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f106,definition,
( spl7_5
<=> requalityOnA(sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f108,plain,
( requalityOnA(sK5,sK6)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl7_6
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f114,definition,
( spl7_7
<=> xsd_string(sK4) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f116,plain,
( xsd_string(sK4)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl7_8
<=> xsd_integer(sK4) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f120,plain,
( ~ xsd_integer(sK4)
| spl7_8 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl7_9
<=> cowlNothing(sK3) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
fof(f124,plain,
( cowlNothing(sK3)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f126,definition,
( spl7_10
<=> cowlThing(sK3) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f128,plain,
( ~ cowlThing(sK3)
| spl7_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| spl7_5
| spl7_6
| spl7_7
| ~ spl7_8
| spl7_9
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f76,f126,f122,f118,f114,f110,f106,f102,f98,f94,f90]) ).
fof(f131,definition,
( spl7_11
<=> requalityOnA(sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
fof(f133,plain,
( ~ requalityOnA(sK6,sK5)
| spl7_11 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_11
| spl7_6
| spl7_7
| ~ spl7_8
| spl7_9
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f77,f126,f122,f118,f114,f110,f131,f102,f98,f94,f90]) ).
fof(f135,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| spl7_5
| spl7_6
| ~ spl7_7
| spl7_8
| spl7_9
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f78,f126,f122,f118,f114,f110,f106,f102,f98,f94,f90]) ).
fof(f136,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| ~ spl7_11
| spl7_6
| ~ spl7_7
| spl7_8
| spl7_9
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f79,f126,f122,f118,f114,f110,f131,f102,f98,f94,f90]) ).
fof(f138,definition,
( spl7_12
<=> requalityOnA(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f140,plain,
( requalityOnA(sK1,sK2)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( ~ spl7_6
| spl7_12 ),
inference(avatar_split_clause,[],[f72,f138,f110]) ).
fof(f148,definition,
( spl7_14
<=> ib = sK1 ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
fof(f150,plain,
( ib != sK1
| spl7_14 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( ~ spl7_6
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f74,f148,f110]) ).
fof(f153,definition,
( spl7_15
<=> ia = sK1 ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
fof(f155,plain,
( ia != sK1
| spl7_15 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( ~ spl7_6
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f75,f153,f110]) ).
fof(f157,plain,
spl7_1,
inference(avatar_split_clause,[],[f71,f90]) ).
fof(f158,plain,
spl7_2,
inference(avatar_split_clause,[],[f69,f94]) ).
fof(f159,plain,
spl7_3,
inference(avatar_split_clause,[],[f68,f98]) ).
fof(f160,plain,
spl7_4,
inference(avatar_split_clause,[],[f67,f102]) ).
fof(f161,plain,
( $false
| spl7_10 ),
inference(resolution,[],[f59,f128]) ).
fof(f162,plain,
spl7_10,
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f163,plain,
( xsd_string(sK4)
| spl7_8 ),
inference(resolution,[],[f61,f120]) ).
fof(f166,plain,
( $false
| ~ spl7_9 ),
inference(forward_subsumption_resolution,[],[f124,f58]) ).
fof(f167,plain,
~ spl7_9,
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f168,plain,
( spl7_7
| spl7_8 ),
inference(avatar_split_clause,[],[f163,f118,f114]) ).
fof(f169,plain,
( ~ xsd_integer(sK4)
| ~ spl7_7 ),
inference(resolution,[],[f116,f60]) ).
fof(f172,plain,
! [X0,X1] :
( ~ requalityOnA(X1,X0)
| ib = X0
| ia = X0 ),
inference(resolution,[],[f62,f66]) ).
fof(f173,plain,
( ! [X0] :
( ~ requalityOnA(X0,ia)
| ia = X0 )
| ~ spl7_3 ),
inference(resolution,[],[f65,f99]) ).
fof(f174,plain,
! [X0] :
( ~ requalityOnA(X0,ib)
| ib = X0 ),
inference(resolution,[],[f65,f70]) ).
fof(f183,definition,
( spl7_16
<=> ia = sK2 ),
introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition]) ).
fof(f185,plain,
( ia = sK2
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f187,definition,
( spl7_17
<=> ib = sK2 ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
fof(f189,plain,
( ib = sK2
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f191,plain,
( ib = sK6
| ia = sK6
| ~ spl7_5 ),
inference(resolution,[],[f108,f172]) ).
fof(f194,definition,
( spl7_18
<=> ia = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).
fof(f196,plain,
( ia = sK6
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f198,definition,
( spl7_19
<=> ib = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
fof(f200,plain,
( ib = sK6
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,plain,
( spl7_18
| spl7_19
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f191,f106,f198,f194]) ).
fof(f205,plain,
( requalityOnA(sK5,ia)
| ~ spl7_5
| ~ spl7_18 ),
inference(superposition,[],[f108,f196]) ).
fof(f206,plain,
( ia = sK5
| ~ spl7_3
| ~ spl7_5
| ~ spl7_18 ),
inference(resolution,[],[f205,f173]) ).
fof(f213,plain,
( ~ requalityOnA(sK6,ia)
| ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(superposition,[],[f133,f206]) ).
fof(f216,plain,
( ~ requalityOnA(ia,ia)
| ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(forward_demodulation,[],[f213,f196]) ).
fof(f219,plain,
( $false
| ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(forward_subsumption_resolution,[],[f216,f99]) ).
fof(f220,plain,
( ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f222,plain,
( ~ spl7_8
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f169,f114,f118]) ).
fof(f228,plain,
( requalityOnA(sK1,ia)
| ~ spl7_12
| ~ spl7_16 ),
inference(superposition,[],[f140,f185]) ).
fof(f230,plain,
( ia = sK1
| ~ spl7_3
| ~ spl7_12
| ~ spl7_16 ),
inference(resolution,[],[f228,f173]) ).
fof(f233,plain,
( $false
| ~ spl7_3
| ~ spl7_12
| spl7_15
| ~ spl7_16 ),
inference(forward_subsumption_resolution,[],[f230,f155]) ).
fof(f234,plain,
( ~ spl7_3
| ~ spl7_12
| spl7_15
| ~ spl7_16 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f242,plain,
( requalityOnA(sK5,ib)
| ~ spl7_5
| ~ spl7_19 ),
inference(superposition,[],[f108,f200]) ).
fof(f243,plain,
( ib = sK5
| ~ spl7_5
| ~ spl7_19 ),
inference(resolution,[],[f242,f174]) ).
fof(f248,plain,
( ~ requalityOnA(sK6,ib)
| ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(superposition,[],[f133,f243]) ).
fof(f251,plain,
( ~ requalityOnA(ib,ib)
| ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(forward_demodulation,[],[f248,f200]) ).
fof(f254,plain,
( $false
| ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f251,f70]) ).
fof(f255,plain,
( ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f256,plain,
( ib = sK2
| ia = sK2
| ~ spl7_12 ),
inference(resolution,[],[f140,f172]) ).
fof(f258,plain,
( spl7_16
| spl7_17
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f256,f138,f187,f183]) ).
fof(f260,plain,
( requalityOnA(sK1,ib)
| ~ spl7_12
| ~ spl7_17 ),
inference(superposition,[],[f140,f189]) ).
fof(f262,plain,
( ib = sK1
| ~ spl7_12
| ~ spl7_17 ),
inference(resolution,[],[f260,f174]) ).
fof(f265,plain,
( $false
| ~ spl7_12
| spl7_14
| ~ spl7_17 ),
inference(forward_subsumption_resolution,[],[f262,f150]) ).
fof(f266,plain,
( ~ spl7_12
| spl7_14
| ~ spl7_17 ),
inference(avatar_contradiction_clause,[],[f265]) ).
cnf(s1,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| spl7_5
| spl7_6
| spl7_7
| ~ spl7_8
| spl7_9
| ~ spl7_10 ),
inference(sat_conversion,[],[f129]) ).
cnf(s2,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| spl7_6
| spl7_7
| ~ spl7_8
| spl7_9
| ~ spl7_10
| ~ spl7_11 ),
inference(sat_conversion,[],[f134]) ).
cnf(s3,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| spl7_5
| spl7_6
| ~ spl7_7
| spl7_8
| spl7_9
| ~ spl7_10 ),
inference(sat_conversion,[],[f135]) ).
cnf(s4,plain,
( ~ spl7_1
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4
| spl7_6
| ~ spl7_7
| spl7_8
| spl7_9
| ~ spl7_10
| ~ spl7_11 ),
inference(sat_conversion,[],[f136]) ).
cnf(s5,plain,
( ~ spl7_6
| spl7_12 ),
inference(sat_conversion,[],[f141]) ).
cnf(s7,plain,
( ~ spl7_6
| ~ spl7_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s8,plain,
( ~ spl7_6
| ~ spl7_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s9,plain,
spl7_1,
inference(sat_conversion,[],[f157]) ).
cnf(s10,plain,
spl7_2,
inference(sat_conversion,[],[f158]) ).
cnf(s11,plain,
spl7_3,
inference(sat_conversion,[],[f159]) ).
cnf(s12,plain,
spl7_4,
inference(sat_conversion,[],[f160]) ).
cnf(s13,plain,
spl7_10,
inference(sat_conversion,[],[f162]) ).
cnf(s15,plain,
~ spl7_9,
inference(sat_conversion,[],[f167]) ).
cnf(s16,plain,
( spl7_7
| spl7_8 ),
inference(sat_conversion,[],[f168]) ).
cnf(s18,plain,
( ~ spl7_5
| spl7_18
| spl7_19 ),
inference(sat_conversion,[],[f201]) ).
cnf(s20,plain,
( ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(sat_conversion,[],[f220]) ).
cnf(s21,plain,
( ~ spl7_7
| ~ spl7_8 ),
inference(sat_conversion,[],[f222]) ).
cnf(s23,plain,
( ~ spl7_3
| ~ spl7_12
| spl7_15
| ~ spl7_16 ),
inference(sat_conversion,[],[f234]) ).
cnf(s26,plain,
( ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(sat_conversion,[],[f255]) ).
cnf(s27,plain,
( ~ spl7_12
| spl7_16
| spl7_17 ),
inference(sat_conversion,[],[f258]) ).
cnf(s28,plain,
( ~ spl7_12
| spl7_14
| ~ spl7_17 ),
inference(sat_conversion,[],[f266]) ).
cnf(s29,plain,
( spl7_6
| ~ spl7_7
| spl7_8
| ~ spl7_11 ),
inference(rat,[],[s4,s13,s15,s12,s11,s10,s9]) ).
cnf(s30,plain,
( spl7_5
| spl7_6
| ~ spl7_7
| spl7_8 ),
inference(rat,[],[s3,s13,s15,s12,s11,s10,s9]) ).
cnf(s31,plain,
( spl7_6
| spl7_7
| ~ spl7_8
| ~ spl7_11 ),
inference(rat,[],[s2,s13,s15,s12,s11,s10,s9]) ).
cnf(s32,plain,
( spl7_5
| spl7_6
| spl7_7
| ~ spl7_8 ),
inference(rat,[],[s1,s13,s15,s12,s11,s10,s9]) ).
cnf(s33,plain,
( spl7_7
| spl7_6
| spl7_5 ),
inference(rat,[],[s32,s16]) ).
cnf(s34,plain,
( spl7_6
| spl7_5 ),
inference(rat,[],[s30,s21,s33]) ).
cnf(s35,plain,
~ spl7_6,
inference(rat,[],[s23,s27,s28,s5,s7,s8,s11]) ).
cnf(s36,plain,
spl7_5,
inference(rat,[],[s34,s35]) ).
cnf(s37,plain,
spl7_11,
inference(rat,[],[s18,s20,s26,s36,s11]) ).
cnf(s38,plain,
spl7_7,
inference(rat,[],[s31,s16,s35,s37]) ).
cnf(s39,plain,
~ spl7_8,
inference(rat,[],[s21,s38]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s29,s37,s35,s38,s39]) ).
fof(f267,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS138+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.39 % Computer : n011.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sun Sep 27 13:28:36 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.43 Running first-order theorem proving
% 0.14/5.43 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
% 2.76/6.30 % (2410715)Detected formulas, will run a generic FOF schedule.
% 2.76/6.30 % (2410720)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=3733258393:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.76/6.30 % (2410724)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=280948700:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.76/6.30 % (2410722)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=2971053823:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.76/6.30 % (2410725)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2116053268:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.76/6.30 % (2410723)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=363056051:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.76/6.30 % (2410723)Refutation not found, incomplete strategy
% 2.76/6.30 % (2410723)------------------------------
% 2.76/6.30 % (2410723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/6.30 % (2410723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/6.30 % (2410724)Refutation not found, incomplete strategy
% 2.76/6.30 % (2410724)------------------------------
% 2.76/6.30 % (2410724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/6.30 % (2410724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/6.30 % (2410723)CaDiCaL version: 2.1.3
% 2.76/6.30 % (2410723)Termination reason: Refutation not found, incomplete strategy
% 2.76/6.30 % (2410723)Time elapsed: 0.002 s
% 2.76/6.30 % (2410723)Peak memory usage: 88 MB
% 2.76/6.30 % (2410724)CaDiCaL version: 2.1.3
% 2.76/6.30 % (2410724)Termination reason: Refutation not found, incomplete strategy
% 2.76/6.30 % (2410724)Time elapsed: 0.002 s
% 2.76/6.30 % (2410723)Instructions burned: 2 (million)
% 2.76/6.30 % (2410724)Peak memory usage: 88 MB
% 2.76/6.30 % (2410724)Instructions burned: 2 (million)
% 2.76/6.30 % (2410725)First to succeed.
% 2.76/6.30 % (2410725)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2410715"
% 2.76/6.30 % (2410726)dis-21_1_sil=8000:lcm=predicate:random_seed=945078011: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)
% 2.76/6.30 % (2410726)Refutation not found, incomplete strategy
% 2.76/6.30 % (2410726)------------------------------
% 2.76/6.30 % (2410726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/6.30 % (2410726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/6.30 % (2410726)CaDiCaL version: 2.1.3
% 2.76/6.30 % (2410726)Termination reason: Refutation not found, incomplete strategy
% 2.76/6.30 % (2410726)Time elapsed: 0.003 s
% 2.76/6.30 % (2410726)Peak memory usage: 88 MB
% 2.76/6.30 % (2410726)Instructions burned: 2 (million)
% 2.76/6.30 % (2410721)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=2431289919:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.76/6.30 % (2410723)------------------------------
% 2.76/6.30 % (2410723)------------------------------
% 2.76/6.30 % (2410724)------------------------------
% 2.76/6.30 % (2410724)------------------------------
% 2.76/6.30 % (2410725)Refutation found. Thanks to Tanya!
% 2.76/6.30 % SZS status Theorem for theBenchmark
% 2.76/6.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/6.49 % (2410725)------------------------------
% 3.58/6.49 % (2410725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/6.49 % (2410725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/6.49 % (2410725)CaDiCaL version: 2.1.3
% 3.58/6.49 % (2410725)Termination reason: Refutation
% 3.58/6.49 % (2410725)Time elapsed: 0.007 s
% 3.58/6.49 % (2410725)Peak memory usage: 89 MB
% 3.58/6.49 % (2410725)Instructions burned: 7 (million)
% 3.58/6.49 % (2410725)------------------------------
% 3.58/6.49 % (2410725)------------------------------
% 3.58/6.49 % (2410715)Success in time 0.426 s
% 3.58/6.49 % Vampire exiting
%------------------------------------------------------------------------------