%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS140+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 : n013.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 0.16s 10.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 166 ( 27 unt; 14 def)
% Number of atoms : 544 ( 30 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 649 ( 271 ~; 330 |; 23 &)
% ( 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 : 73 ( 0 sgn 60 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f8,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f9,axiom,
! [X0,X1] :
( rsymProp(X0,X1)
=> ( X1 = ia
| X1 = ib ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f10,axiom,
! [X0,X1] :
( rsymProp(X0,X1)
=> rsymProp(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
rsymProp(ia,ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
rsymProp(ib,ib),
file('/export/starexec/sandbox/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/sandbox/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(f41,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f42,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f7]) ).
fof(f43,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f44,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f45,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| ib = X1
| ia = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f46,plain,
! [X0,X1] :
( ~ rsymProp(X0,X1)
| rsymProp(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f48,plain,
rsymProp(ia,ia),
inference(cnf_transformation,[],[f12]) ).
fof(f50,plain,
rsymProp(ib,ib),
inference(cnf_transformation,[],[f14]) ).
fof(f51,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| rsymProp(sK1,sK2)
| xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| rsymProp(sK1,sK2)
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| rsymProp(sK0,sK1)
| xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| rsymProp(sK0,sK1)
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| ~ rsymProp(sK0,sK2)
| xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f56,plain,
! [X5] :
( ~ cowlThing(X5)
| ~ rsymProp(ia,X5)
| ~ rsymProp(sK0,sK2)
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f66,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f67,plain,
! [X0] :
( ~ xsd_string(X0)
| xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f68,plain,
! [X0,X1] :
( rsymProp(X0,X1)
| ib = X1
| ia = X1 ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f69,plain,
! [X0,X1] :
( ~ rsymProp(X1,X0)
| rsymProp(X0,X1) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f70,plain,
~ rsymProp(ia,ia),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f71,plain,
~ rsymProp(ib,ib),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f72,plain,
! [X5] :
( ~ cowlThing(X5)
| rsymProp(ia,X5)
| rsymProp(sK0,sK2)
| ~ xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f73,plain,
! [X5] :
( ~ cowlThing(X5)
| rsymProp(ia,X5)
| rsymProp(sK0,sK2)
| xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f74,plain,
! [X5] :
( ~ cowlThing(X5)
| rsymProp(ia,X5)
| ~ rsymProp(sK0,sK1)
| ~ xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f75,plain,
! [X5] :
( ~ cowlThing(X5)
| rsymProp(ia,X5)
| ~ rsymProp(sK0,sK1)
| xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f76,plain,
! [X5] :
( ~ cowlThing(X5)
| rsymProp(ia,X5)
| ~ rsymProp(sK1,sK2)
| ~ xsd_integer(sK3)
| ~ xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f77,plain,
! [X5] :
( ~ cowlThing(X5)
| rsymProp(ia,X5)
| ~ rsymProp(sK1,sK2)
| xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f79,definition,
( spl5_1
<=> cowlThing(sK4) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f81,plain,
( ~ cowlThing(sK4)
| spl5_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl5_2
<=> cowlNothing(sK4) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f85,plain,
( cowlNothing(sK4)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl5_3
<=> xsd_string(sK3) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f89,plain,
( xsd_string(sK3)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl5_4
<=> xsd_integer(sK3) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f93,plain,
( xsd_integer(sK3)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl5_5
<=> rsymProp(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f97,plain,
( ~ rsymProp(sK1,sK2)
| spl5_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f99,definition,
( spl5_6
<=> ! [X5] :
( ~ cowlThing(X5)
| rsymProp(ia,X5) ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f100,plain,
( ! [X5] :
( ~ cowlThing(X5)
| rsymProp(ia,X5) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( ~ spl5_1
| spl5_2
| spl5_3
| spl5_4
| ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f77,f99,f95,f91,f87,f83,f79]) ).
fof(f102,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f76,f99,f95,f91,f87,f83,f79]) ).
fof(f104,definition,
( spl5_7
<=> rsymProp(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f106,plain,
( ~ rsymProp(sK0,sK1)
| spl5_7 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( ~ spl5_1
| spl5_2
| spl5_3
| spl5_4
| ~ spl5_7
| spl5_6 ),
inference(avatar_split_clause,[],[f75,f99,f104,f91,f87,f83,f79]) ).
fof(f108,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_7
| spl5_6 ),
inference(avatar_split_clause,[],[f74,f99,f104,f91,f87,f83,f79]) ).
fof(f110,definition,
( spl5_8
<=> rsymProp(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
fof(f112,plain,
( rsymProp(sK0,sK2)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( ~ spl5_1
| spl5_2
| spl5_3
| spl5_4
| spl5_8
| spl5_6 ),
inference(avatar_split_clause,[],[f73,f99,f110,f91,f87,f83,f79]) ).
fof(f114,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| spl5_8
| spl5_6 ),
inference(avatar_split_clause,[],[f72,f99,f110,f91,f87,f83,f79]) ).
fof(f115,plain,
( $false
| spl5_1 ),
inference(backward_subsumption_resolution,[],[f81,f42]) ).
fof(f116,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f117,plain,
( xsd_integer(sK3)
| ~ spl5_3 ),
inference(resolution,[],[f67,f89]) ).
fof(f120,plain,
( ! [X5] : rsymProp(ia,X5)
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f100,f42]) ).
fof(f121,plain,
( spl5_4
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f117,f87,f91]) ).
fof(f122,plain,
( xsd_string(sK3)
| ~ spl5_4 ),
inference(resolution,[],[f93,f66]) ).
fof(f123,plain,
( $false
| ~ spl5_6 ),
inference(backward_subsumption_resolution,[],[f70,f120]) ).
fof(f124,plain,
~ spl5_6,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f125,plain,
( rsymProp(sK2,sK0)
| ~ spl5_8 ),
inference(resolution,[],[f69,f112]) ).
fof(f126,plain,
! [X0,X1] :
( rsymProp(X0,X1)
| ia = X0
| ib = X0 ),
inference(resolution,[],[f68,f69]) ).
fof(f132,definition,
( spl5_9
<=> ia = sK2 ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
fof(f134,plain,
( ia = sK2
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl5_10
<=> ib = sK2 ),
introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).
fof(f138,plain,
( ib = sK2
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f141,definition,
( spl5_11
<=> ia = sK1 ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
fof(f143,plain,
( ia = sK1
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f145,definition,
( spl5_12
<=> ib = sK1 ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f147,plain,
( ib = sK1
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f149,plain,
( spl5_3
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f122,f91,f87]) ).
fof(f152,plain,
( ib = sK2
| ia = sK2
| spl5_5 ),
inference(resolution,[],[f97,f68]) ).
fof(f153,plain,
( spl5_9
| spl5_10
| spl5_5 ),
inference(avatar_split_clause,[],[f152,f95,f136,f132]) ).
fof(f154,plain,
( ib = sK1
| ia = sK1
| spl5_7 ),
inference(resolution,[],[f106,f68]) ).
fof(f157,plain,
( rsymProp(ia,sK0)
| ~ spl5_8
| ~ spl5_9 ),
inference(superposition,[],[f125,f134]) ).
fof(f158,plain,
( ~ rsymProp(sK1,ia)
| spl5_5
| ~ spl5_9 ),
inference(superposition,[],[f97,f134]) ).
fof(f166,plain,
( ia = sK0
| ib = sK0
| spl5_7 ),
inference(resolution,[],[f126,f106]) ).
fof(f169,definition,
( spl5_13
<=> ib = sK0 ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
fof(f171,plain,
( ib = sK0
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f173,definition,
( spl5_14
<=> ia = sK0 ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
fof(f175,plain,
( ia = sK0
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f177,plain,
( $false
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f85,f41]) ).
fof(f178,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f180,plain,
( ~ rsymProp(sK0,ia)
| spl5_7
| ~ spl5_11 ),
inference(forward_demodulation,[],[f106,f143]) ).
fof(f181,plain,
( spl5_13
| spl5_14
| spl5_7 ),
inference(avatar_split_clause,[],[f166,f104,f173,f169]) ).
fof(f185,plain,
( rsymProp(sK0,ia)
| ~ spl5_8
| ~ spl5_9 ),
inference(resolution,[],[f157,f69]) ).
fof(f186,plain,
( $false
| spl5_7
| ~ spl5_8
| ~ spl5_9
| ~ spl5_11 ),
inference(forward_subsumption_resolution,[],[f185,f180]) ).
fof(f187,plain,
( spl5_7
| ~ spl5_8
| ~ spl5_9
| ~ spl5_11 ),
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f191,plain,
( rsymProp(ib,sK0)
| ~ spl5_8
| ~ spl5_10 ),
inference(superposition,[],[f125,f138]) ).
fof(f192,plain,
( ~ rsymProp(sK1,ib)
| spl5_5
| ~ spl5_10 ),
inference(superposition,[],[f97,f138]) ).
fof(f193,plain,
( rsymProp(sK0,ib)
| ~ spl5_8
| ~ spl5_10 ),
inference(superposition,[],[f112,f138]) ).
fof(f194,plain,
( ~ rsymProp(ia,ib)
| spl5_5
| ~ spl5_10
| ~ spl5_11 ),
inference(forward_demodulation,[],[f192,f143]) ).
fof(f197,plain,
( rsymProp(sK2,ib)
| ~ spl5_8
| ~ spl5_13 ),
inference(superposition,[],[f125,f171]) ).
fof(f198,plain,
( rsymProp(ib,sK2)
| ~ spl5_8
| ~ spl5_13 ),
inference(superposition,[],[f112,f171]) ).
fof(f200,plain,
( rsymProp(ib,ib)
| ~ spl5_8
| ~ spl5_10
| ~ spl5_13 ),
inference(forward_demodulation,[],[f197,f138]) ).
fof(f203,plain,
( $false
| ~ spl5_8
| ~ spl5_10
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f200,f71]) ).
fof(f204,plain,
( ~ spl5_8
| ~ spl5_10
| ~ spl5_13 ),
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f211,plain,
( rsymProp(ib,ia)
| ~ spl5_8
| ~ spl5_10
| ~ spl5_14 ),
inference(forward_demodulation,[],[f191,f175]) ).
fof(f212,plain,
( rsymProp(ia,ib)
| ~ spl5_8
| ~ spl5_10
| ~ spl5_14 ),
inference(forward_demodulation,[],[f193,f175]) ).
fof(f215,plain,
( rsymProp(ia,ib)
| ~ spl5_8
| ~ spl5_10
| ~ spl5_14 ),
inference(resolution,[],[f211,f69]) ).
fof(f216,plain,
( $false
| spl5_5
| ~ spl5_8
| ~ spl5_10
| ~ spl5_11
| ~ spl5_14 ),
inference(forward_subsumption_resolution,[],[f215,f194]) ).
fof(f217,plain,
( spl5_5
| ~ spl5_8
| ~ spl5_10
| ~ spl5_11
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f219,plain,
( ~ rsymProp(ia,sK1)
| spl5_7
| ~ spl5_14 ),
inference(forward_demodulation,[],[f106,f175]) ).
fof(f221,plain,
( spl5_11
| spl5_12
| spl5_7 ),
inference(avatar_split_clause,[],[f154,f104,f145,f141]) ).
fof(f226,plain,
( ~ rsymProp(ia,ib)
| spl5_7
| ~ spl5_12
| ~ spl5_14 ),
inference(superposition,[],[f219,f147]) ).
fof(f231,plain,
( $false
| spl5_7
| ~ spl5_8
| ~ spl5_10
| ~ spl5_12
| ~ spl5_14 ),
inference(forward_subsumption_resolution,[],[f226,f212]) ).
fof(f232,plain,
( spl5_7
| ~ spl5_8
| ~ spl5_10
| ~ spl5_12
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f234,plain,
( ~ rsymProp(ib,ia)
| spl5_5
| ~ spl5_9
| ~ spl5_12 ),
inference(forward_demodulation,[],[f158,f147]) ).
fof(f236,plain,
( rsymProp(ia,ia)
| ~ spl5_8
| ~ spl5_9
| ~ spl5_14 ),
inference(forward_demodulation,[],[f185,f175]) ).
fof(f241,plain,
( $false
| ~ spl5_8
| ~ spl5_9
| ~ spl5_14 ),
inference(forward_subsumption_resolution,[],[f236,f70]) ).
fof(f242,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f266,plain,
( rsymProp(ib,ia)
| ~ spl5_8
| ~ spl5_9
| ~ spl5_13 ),
inference(forward_demodulation,[],[f198,f134]) ).
fof(f267,plain,
( $false
| spl5_5
| ~ spl5_8
| ~ spl5_9
| ~ spl5_12
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f266,f234]) ).
fof(f268,plain,
( spl5_5
| ~ spl5_8
| ~ spl5_9
| ~ spl5_12
| ~ spl5_13 ),
inference(avatar_contradiction_clause,[],[f267]) ).
cnf(s1,plain,
( ~ spl5_1
| spl5_2
| spl5_3
| spl5_4
| ~ spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f101]) ).
cnf(s2,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| ~ spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f102]) ).
cnf(s3,plain,
( ~ spl5_1
| spl5_2
| spl5_3
| spl5_4
| spl5_6
| ~ spl5_7 ),
inference(sat_conversion,[],[f107]) ).
cnf(s4,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| spl5_6
| ~ spl5_7 ),
inference(sat_conversion,[],[f108]) ).
cnf(s5,plain,
( ~ spl5_1
| spl5_2
| spl5_3
| spl5_4
| spl5_6
| spl5_8 ),
inference(sat_conversion,[],[f113]) ).
cnf(s6,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3
| ~ spl5_4
| spl5_6
| spl5_8 ),
inference(sat_conversion,[],[f114]) ).
cnf(s7,plain,
spl5_1,
inference(sat_conversion,[],[f116]) ).
cnf(s9,plain,
( ~ spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f121]) ).
cnf(s10,plain,
~ spl5_6,
inference(sat_conversion,[],[f124]) ).
cnf(s13,plain,
( spl5_3
| ~ spl5_4 ),
inference(sat_conversion,[],[f149]) ).
cnf(s16,plain,
( spl5_5
| spl5_9
| spl5_10 ),
inference(sat_conversion,[],[f153]) ).
cnf(s19,plain,
~ spl5_2,
inference(sat_conversion,[],[f178]) ).
cnf(s20,plain,
( spl5_7
| spl5_13
| spl5_14 ),
inference(sat_conversion,[],[f181]) ).
cnf(s22,plain,
( spl5_7
| ~ spl5_8
| ~ spl5_9
| ~ spl5_11 ),
inference(sat_conversion,[],[f187]) ).
cnf(s27,plain,
( ~ spl5_8
| ~ spl5_10
| ~ spl5_13 ),
inference(sat_conversion,[],[f204]) ).
cnf(s28,plain,
( spl5_5
| ~ spl5_8
| ~ spl5_10
| ~ spl5_11
| ~ spl5_14 ),
inference(sat_conversion,[],[f217]) ).
cnf(s31,plain,
( spl5_7
| spl5_11
| spl5_12 ),
inference(sat_conversion,[],[f221]) ).
cnf(s33,plain,
( spl5_7
| ~ spl5_8
| ~ spl5_10
| ~ spl5_12
| ~ spl5_14 ),
inference(sat_conversion,[],[f232]) ).
cnf(s36,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_14 ),
inference(sat_conversion,[],[f242]) ).
cnf(s38,plain,
( spl5_5
| ~ spl5_8
| ~ spl5_9
| ~ spl5_12
| ~ spl5_13 ),
inference(sat_conversion,[],[f268]) ).
cnf(s39,plain,
( ~ spl5_3
| ~ spl5_4
| spl5_8 ),
inference(rat,[],[s6,s10,s19,s7]) ).
cnf(s40,plain,
( spl5_3
| spl5_4
| spl5_8 ),
inference(rat,[],[s5,s10,s19,s7]) ).
cnf(s41,plain,
( ~ spl5_3
| ~ spl5_4
| ~ spl5_7 ),
inference(rat,[],[s4,s10,s19,s7]) ).
cnf(s42,plain,
( spl5_3
| spl5_4
| ~ spl5_7 ),
inference(rat,[],[s3,s10,s19,s7]) ).
cnf(s43,plain,
( ~ spl5_3
| ~ spl5_4
| ~ spl5_5 ),
inference(rat,[],[s2,s10,s19,s7]) ).
cnf(s44,plain,
( spl5_3
| spl5_4
| ~ spl5_5 ),
inference(rat,[],[s1,s10,s19,s7]) ).
cnf(s45,plain,
( ~ spl5_10
| spl5_3 ),
inference(rat,[],[s31,s28,s33,s20,s27,s40,s42,s44,s13]) ).
cnf(s46,plain,
( spl5_4
| spl5_3 ),
inference(rat,[],[s38,s31,s20,s22,s36,s16,s45,s44,s42,s40]) ).
cnf(s47,plain,
spl5_3,
inference(rat,[],[s46,s13]) ).
cnf(s48,plain,
spl5_4,
inference(rat,[],[s9,s47]) ).
cnf(s49,plain,
spl5_8,
inference(rat,[],[s39,s47,s48]) ).
cnf(s50,plain,
~ spl5_7,
inference(rat,[],[s41,s47,s48]) ).
cnf(s51,plain,
~ spl5_5,
inference(rat,[],[s43,s47,s48]) ).
cnf(s52,plain,
( ~ spl5_14
| ~ spl5_10 ),
inference(rat,[],[s31,s28,s33,s51,s49,s50]) ).
cnf(s53,plain,
~ spl5_10,
inference(rat,[],[s52,s20,s27,s50,s49]) ).
cnf(s54,plain,
spl5_9,
inference(rat,[],[s16,s51,s53]) ).
cnf(s55,plain,
~ spl5_14,
inference(rat,[],[s36,s49,s54]) ).
cnf(s56,plain,
~ spl5_11,
inference(rat,[],[s22,s50,s49,s54]) ).
cnf(s57,plain,
spl5_13,
inference(rat,[],[s20,s50,s55]) ).
cnf(s58,plain,
spl5_12,
inference(rat,[],[s31,s50,s56]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s38,s54,s51,s49,s57,s58]) ).
fof(f269,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/10.39 % Computer : n013.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Sun Sep 27 13:28:01 UTC 2026
% 0.16/10.40 % CPUTime :
% 0.16/10.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/10.43 Running first-order model finding
% 0.16/10.43 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
% 0.16/10.47 % (230696)Will run a generic schedule for satisfiability detection.
% 0.16/10.47 % (230702)% WARNING: option uhcvi not known.
% 0.16/10.47 % (230702)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1646222817:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/10.47 % (230702) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-230696-230702"...
% 0.16/10.47 % (230702)...printing done.
% 0.16/10.47 % (230702)Refutation found. Thanks to Tanya!
% 0.16/10.47 % SZS status Theorem for theBenchmark
% 0.16/10.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/10.47 % (230702)------------------------------
% 0.16/10.47 % (230702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/10.47 % (230702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/10.47 % (230702)CaDiCaL version: 2.1.3
% 0.16/10.47 % (230702)Termination reason: Refutation
% 0.16/10.47 % (230702)Time elapsed: 0.004 s
% 0.16/10.47 % (230702)Peak memory usage: 12 MB
% 0.16/10.47 % (230702)Instructions burned: 7 (million)
% 0.16/10.47 % (230696)Success in time 0.032 s
% 0.16/10.47 % Vampire exiting
%------------------------------------------------------------------------------