%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS138+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 : 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 11:42:22 AM UTC 2026
% Result : Theorem 0.11s 5.68s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 31
% Syntax : Number of formulae : 175 ( 31 unt; 19 def)
% Number of atoms : 619 ( 78 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 764 ( 320 ~; 350 |; 59 &)
% ( 23 <=>; 9 =>; 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 : 98 ( 0 sgn 68 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( ( X0 = X1
& requalityOnA(X0,X2) )
=> requalityOnA(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',requalityOnA_substitution_1) ).
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] :
( cA(X0)
<=> ( X0 = ib
| X0 = ia ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( requalityOnA(X1,X0)
& requalityOnA(X2,X0) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
! [X0,X1] :
( requalityOnA(X0,X1)
=> cA(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f13,axiom,
cowlThing(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
requalityOnA(ia,ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f15,axiom,
cowlThing(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f16,axiom,
requalityOnA(ib,ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f17,axiom,
cowlThing(ic),
file('/export/starexec/sandbox/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/sandbox/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(f27,plain,
! [X0,X1,X2] :
( requalityOnA(X1,X2)
| X0 != X1
| ~ requalityOnA(X0,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1,X2] :
( requalityOnA(X1,X2)
| X0 != X1
| ~ requalityOnA(X0,X2) ),
inference(flattening,[],[f27]) ).
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(f54,plain,
! [X2,X0,X1] :
( ~ requalityOnA(X0,X2)
| X0 != X1
| requalityOnA(X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
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_string(X0)
| xsd_integer(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] :
( ~ requalityOnA(X0,X1)
| cA(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(f81,definition,
( spl7_1
<=> cowlThing(ic) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f85,definition,
( spl7_2
<=> cowlThing(ib) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f89,definition,
( spl7_3
<=> requalityOnA(ia,ia) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f90,plain,
( requalityOnA(ia,ia)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl7_4
<=> cowlThing(ia) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f97,definition,
( spl7_5
<=> requalityOnA(sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f99,plain,
( requalityOnA(sK5,sK6)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f101,definition,
( spl7_6
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f105,definition,
( spl7_7
<=> xsd_string(sK4) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f106,plain,
( ~ xsd_string(sK4)
| spl7_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( xsd_string(sK4)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f109,definition,
( spl7_8
<=> xsd_integer(sK4) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f110,plain,
( xsd_integer(sK4)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f111,plain,
( ~ xsd_integer(sK4)
| spl7_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f113,definition,
( spl7_9
<=> cowlNothing(sK3) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
fof(f115,plain,
( cowlNothing(sK3)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl7_10
<=> cowlThing(sK3) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f119,plain,
( ~ cowlThing(sK3)
| spl7_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,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,f117,f113,f109,f105,f101,f97,f93,f89,f85,f81]) ).
fof(f122,definition,
( spl7_11
<=> requalityOnA(sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
fof(f124,plain,
( ~ requalityOnA(sK6,sK5)
| spl7_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,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,f117,f113,f109,f105,f101,f122,f93,f89,f85,f81]) ).
fof(f126,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,f117,f113,f109,f105,f101,f97,f93,f89,f85,f81]) ).
fof(f127,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,f117,f113,f109,f105,f101,f122,f93,f89,f85,f81]) ).
fof(f129,definition,
( spl7_12
<=> requalityOnA(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f131,plain,
( requalityOnA(sK1,sK2)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( ~ spl7_6
| spl7_12 ),
inference(avatar_split_clause,[],[f72,f129,f101]) ).
fof(f139,definition,
( spl7_14
<=> ib = sK1 ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
fof(f141,plain,
( ib != sK1
| spl7_14 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( ~ spl7_6
| ~ spl7_14 ),
inference(avatar_split_clause,[],[f74,f139,f101]) ).
fof(f144,definition,
( spl7_15
<=> ia = sK1 ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
fof(f146,plain,
( ia != sK1
| spl7_15 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( ~ spl7_6
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f75,f144,f101]) ).
fof(f148,plain,
spl7_1,
inference(avatar_split_clause,[],[f71,f81]) ).
fof(f149,plain,
spl7_2,
inference(avatar_split_clause,[],[f69,f85]) ).
fof(f150,plain,
spl7_3,
inference(avatar_split_clause,[],[f68,f89]) ).
fof(f151,plain,
spl7_4,
inference(avatar_split_clause,[],[f67,f93]) ).
fof(f152,plain,
( $false
| spl7_10 ),
inference(forward_subsumption_resolution,[],[f119,f59]) ).
fof(f153,plain,
spl7_10,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f154,plain,
( xsd_integer(sK4)
| spl7_7 ),
inference(resolution,[],[f61,f106]) ).
fof(f156,plain,
( $false
| spl7_7
| spl7_8 ),
inference(forward_subsumption_resolution,[],[f154,f111]) ).
fof(f157,plain,
( spl7_7
| spl7_8 ),
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f158,plain,
( $false
| ~ spl7_9 ),
inference(forward_subsumption_resolution,[],[f115,f58]) ).
fof(f159,plain,
~ spl7_9,
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f160,plain,
( ~ xsd_integer(sK4)
| ~ spl7_7 ),
inference(resolution,[],[f107,f60]) ).
fof(f165,plain,
( cA(sK2)
| ~ spl7_12 ),
inference(resolution,[],[f66,f131]) ).
fof(f174,plain,
( ia = sK2
| ib = sK2
| ~ spl7_12 ),
inference(resolution,[],[f62,f165]) ).
fof(f176,definition,
( spl7_16
<=> ib = sK2 ),
introduced(definition,[new_symbols(definition,[spl7_16])],[avatar_definition]) ).
fof(f178,plain,
( ib = sK2
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl7_17
<=> ia = sK2 ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
fof(f182,plain,
( ia = sK2
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,plain,
( spl7_16
| spl7_17
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f174,f129,f180,f176]) ).
fof(f184,plain,
( cA(sK6)
| ~ spl7_5 ),
inference(resolution,[],[f99,f66]) ).
fof(f185,plain,
( ia = sK6
| ib = sK6
| ~ spl7_5 ),
inference(resolution,[],[f184,f62]) ).
fof(f188,definition,
( spl7_18
<=> ib = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).
fof(f190,plain,
( ib = sK6
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl7_19
<=> ia = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
fof(f194,plain,
( ia = sK6
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl7_18
| spl7_19
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f185,f97,f192,f188]) ).
fof(f198,plain,
( requalityOnA(sK5,ib)
| ~ spl7_5
| ~ spl7_18 ),
inference(superposition,[],[f99,f190]) ).
fof(f201,plain,
( ! [X0] :
( sK5 != X0
| requalityOnA(X0,sK6) )
| ~ spl7_5 ),
inference(resolution,[],[f54,f99]) ).
fof(f211,plain,
( ! [X0] :
( ~ requalityOnA(X0,ia)
| ia = X0 )
| ~ spl7_3 ),
inference(resolution,[],[f65,f90]) ).
fof(f212,plain,
! [X0] :
( ~ requalityOnA(X0,ib)
| ib = X0 ),
inference(resolution,[],[f65,f70]) ).
fof(f214,plain,
( ! [X0] :
( ~ requalityOnA(X0,ib)
| sK5 = X0 )
| ~ spl7_5
| ~ spl7_18 ),
inference(resolution,[],[f65,f198]) ).
fof(f225,plain,
( ib = sK5
| ~ spl7_5
| ~ spl7_18 ),
inference(resolution,[],[f214,f70]) ).
fof(f232,plain,
( ~ requalityOnA(sK6,ib)
| ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(superposition,[],[f124,f225]) ).
fof(f235,plain,
( ~ requalityOnA(ib,ib)
| ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(forward_demodulation,[],[f232,f190]) ).
fof(f238,plain,
( $false
| ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(forward_subsumption_resolution,[],[f235,f70]) ).
fof(f239,plain,
( ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f241,plain,
( $false
| ~ spl7_7
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f160,f110]) ).
fof(f242,plain,
( ~ spl7_7
| ~ spl7_8 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f246,plain,
( ! [X0] :
( sK1 != X0
| requalityOnA(X0,sK2) )
| ~ spl7_12 ),
inference(resolution,[],[f131,f54]) ).
fof(f248,plain,
( ! [X0] :
( sK1 != X0
| requalityOnA(X0,ib) )
| ~ spl7_12
| ~ spl7_16 ),
inference(forward_demodulation,[],[f246,f178]) ).
fof(f254,plain,
( requalityOnA(sK1,ib)
| ~ spl7_12
| ~ spl7_16 ),
inference(equality_resolution,[],[f248]) ).
fof(f258,plain,
( ib = sK1
| ~ spl7_12
| ~ spl7_16 ),
inference(resolution,[],[f254,f212]) ).
fof(f265,plain,
( $false
| ~ spl7_12
| spl7_14
| ~ spl7_16 ),
inference(forward_subsumption_resolution,[],[f258,f141]) ).
fof(f266,plain,
( ~ spl7_12
| spl7_14
| ~ spl7_16 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f270,plain,
( ! [X0] :
( sK5 != X0
| requalityOnA(X0,ia) )
| ~ spl7_5
| ~ spl7_19 ),
inference(forward_demodulation,[],[f201,f194]) ).
fof(f273,plain,
( requalityOnA(sK5,ia)
| ~ spl7_5
| ~ spl7_19 ),
inference(equality_resolution,[],[f270]) ).
fof(f280,plain,
( ia = sK5
| ~ spl7_3
| ~ spl7_5
| ~ spl7_19 ),
inference(resolution,[],[f273,f211]) ).
fof(f291,plain,
( ~ requalityOnA(sK6,ia)
| ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(superposition,[],[f124,f280]) ).
fof(f294,plain,
( ~ requalityOnA(ia,ia)
| ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(forward_demodulation,[],[f291,f194]) ).
fof(f297,plain,
( $false
| ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f294,f90]) ).
fof(f298,plain,
( ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f321,plain,
( ! [X0] :
( sK1 = X0
| ~ requalityOnA(X0,sK2) )
| ~ spl7_12 ),
inference(resolution,[],[f131,f65]) ).
fof(f327,plain,
( ! [X0] :
( ~ requalityOnA(X0,ia)
| sK1 = X0 )
| ~ spl7_12
| ~ spl7_17 ),
inference(forward_demodulation,[],[f321,f182]) ).
fof(f349,plain,
( ia = sK1
| ~ spl7_3
| ~ spl7_12
| ~ spl7_17 ),
inference(resolution,[],[f327,f90]) ).
fof(f350,plain,
( $false
| ~ spl7_3
| ~ spl7_12
| spl7_15
| ~ spl7_17 ),
inference(forward_subsumption_resolution,[],[f349,f146]) ).
fof(f351,plain,
( ~ spl7_3
| ~ spl7_12
| spl7_15
| ~ spl7_17 ),
inference(avatar_contradiction_clause,[],[f350]) ).
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,[],[f120]) ).
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,[],[f125]) ).
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,[],[f126]) ).
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,[],[f127]) ).
cnf(s5,plain,
( ~ spl7_6
| spl7_12 ),
inference(sat_conversion,[],[f132]) ).
cnf(s7,plain,
( ~ spl7_6
| ~ spl7_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s8,plain,
( ~ spl7_6
| ~ spl7_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s9,plain,
spl7_1,
inference(sat_conversion,[],[f148]) ).
cnf(s10,plain,
spl7_2,
inference(sat_conversion,[],[f149]) ).
cnf(s11,plain,
spl7_3,
inference(sat_conversion,[],[f150]) ).
cnf(s12,plain,
spl7_4,
inference(sat_conversion,[],[f151]) ).
cnf(s13,plain,
spl7_10,
inference(sat_conversion,[],[f153]) ).
cnf(s14,plain,
( spl7_7
| spl7_8 ),
inference(sat_conversion,[],[f157]) ).
cnf(s15,plain,
~ spl7_9,
inference(sat_conversion,[],[f159]) ).
cnf(s16,plain,
( ~ spl7_12
| spl7_16
| spl7_17 ),
inference(sat_conversion,[],[f183]) ).
cnf(s17,plain,
( ~ spl7_5
| spl7_18
| spl7_19 ),
inference(sat_conversion,[],[f195]) ).
cnf(s19,plain,
( ~ spl7_5
| spl7_11
| ~ spl7_18 ),
inference(sat_conversion,[],[f239]) ).
cnf(s20,plain,
( ~ spl7_7
| ~ spl7_8 ),
inference(sat_conversion,[],[f242]) ).
cnf(s21,plain,
( ~ spl7_12
| spl7_14
| ~ spl7_16 ),
inference(sat_conversion,[],[f266]) ).
cnf(s24,plain,
( ~ spl7_3
| ~ spl7_5
| spl7_11
| ~ spl7_19 ),
inference(sat_conversion,[],[f298]) ).
cnf(s25,plain,
( ~ spl7_3
| ~ spl7_12
| spl7_15
| ~ spl7_17 ),
inference(sat_conversion,[],[f351]) ).
cnf(s26,plain,
( spl7_6
| ~ spl7_7
| spl7_8
| ~ spl7_11 ),
inference(rat,[],[s4,s13,s15,s12,s11,s10,s9]) ).
cnf(s27,plain,
( spl7_5
| spl7_6
| ~ spl7_7
| spl7_8 ),
inference(rat,[],[s3,s13,s15,s12,s11,s10,s9]) ).
cnf(s28,plain,
( spl7_6
| spl7_7
| ~ spl7_8
| ~ spl7_11 ),
inference(rat,[],[s2,s13,s15,s12,s11,s10,s9]) ).
cnf(s29,plain,
( spl7_5
| spl7_6
| spl7_7
| ~ spl7_8 ),
inference(rat,[],[s1,s13,s15,s12,s11,s10,s9]) ).
cnf(s30,plain,
( spl7_7
| spl7_6
| spl7_5 ),
inference(rat,[],[s29,s14]) ).
cnf(s31,plain,
( spl7_6
| spl7_5 ),
inference(rat,[],[s27,s20,s30]) ).
cnf(s32,plain,
~ spl7_6,
inference(rat,[],[s16,s21,s25,s5,s7,s8,s11]) ).
cnf(s33,plain,
spl7_5,
inference(rat,[],[s31,s32]) ).
cnf(s34,plain,
spl7_11,
inference(rat,[],[s17,s24,s19,s33,s11]) ).
cnf(s35,plain,
spl7_7,
inference(rat,[],[s28,s14,s32,s34]) ).
cnf(s36,plain,
~ spl7_8,
inference(rat,[],[s20,s35]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s26,s34,s32,s35,s36]) ).
fof(f352,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.23 % Problem : KRS138+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.26 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.60 % Computer : n002.cluster.edu
% 0.11/5.60 % Model : x86_64 x86_64
% 0.11/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.60 % Memory : 8046.5625MB
% 0.11/5.60 % OS : Linux 6.8.0-71-generic
% 0.11/5.61 % CPULimit : 300
% 0.11/5.61 % WCLimit : 300
% 0.11/5.61 % DateTime : Sun Sep 27 13:31:15 UTC 2026
% 0.11/5.61 % CPUTime :
% 0.11/5.61 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.64 Running first-order model finding
% 0.11/5.64 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
% 0.11/5.68 % (3531594)Will run a generic schedule for satisfiability detection.
% 0.11/5.68 % (3531604)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=50872979:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/5.68 % (3531600)% WARNING: option uhcvi not known.
% 0.11/5.68 % (3531604) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3531594-3531604"...
% 0.11/5.68 % (3531604)...printing done.
% 0.11/5.68 % (3531604)Refutation found. Thanks to Tanya!
% 0.11/5.68 % SZS status Theorem for theBenchmark
% 0.11/5.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/5.68 % (3531604)------------------------------
% 0.11/5.68 % (3531604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/5.68 % (3531604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/5.68 % (3531604)CaDiCaL version: 2.1.3
% 0.11/5.68 % (3531604)Termination reason: Refutation
% 0.11/5.68 % (3531604)Time elapsed: 0.004 s
% 0.11/5.68 % (3531604)Peak memory usage: 12 MB
% 0.11/5.68 % (3531604)Instructions burned: 9 (million)
% 0.11/5.68 % (3531594)Success in time 0.03 s
% 0.11/5.68 % Vampire exiting
%------------------------------------------------------------------------------