TSTP Solution File: KRS144+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:29:50 EDT 2022
% Result : Theorem 1.77s 0.59s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 216 ( 5 unt; 0 def)
% Number of atoms : 1098 ( 204 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 1370 ( 488 ~; 722 |; 117 &)
% ( 22 <=>; 19 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 18 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 227 ( 168 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f331,plain,
$false,
inference(avatar_sat_refutation,[],[f129,f137,f143,f149,f151,f157,f159,f165,f167,f169,f171,f173,f179,f182,f185,f188,f191,f194,f197,f201,f205,f209,f213,f217,f221,f225,f229,f233,f235,f238,f263,f273,f276,f282,f294,f307,f327,f330]) ).
fof(f330,plain,
( ~ spl9_2
| ~ spl9_6 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl9_2
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f328,f128]) ).
fof(f128,plain,
( xsd_integer(sK3)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl9_6
<=> xsd_integer(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f328,plain,
( ~ xsd_integer(sK3)
| ~ spl9_2 ),
inference(resolution,[],[f111,f92]) ).
fof(f92,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f111,plain,
( xsd_string(sK3)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl9_2
<=> xsd_string(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f327,plain,
( ~ spl9_1
| ~ spl9_8 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl9_1
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f325,f108]) ).
fof(f108,plain,
( cc(sK2)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl9_1
<=> cc(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f325,plain,
( ~ cc(sK2)
| ~ spl9_1
| ~ spl9_8 ),
inference(trivial_inequality_removal,[],[f323]) ).
fof(f323,plain,
( ~ cc(sK2)
| sK0(sK2) != sK0(sK2)
| ~ spl9_1
| ~ spl9_8 ),
inference(superposition,[],[f57,f321]) ).
fof(f321,plain,
( sK0(sK2) = sK1(sK2)
| ~ spl9_1
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f320,f108]) ).
fof(f320,plain,
( sK0(sK2) = sK1(sK2)
| ~ cc(sK2)
| ~ spl9_1
| ~ spl9_8 ),
inference(resolution,[],[f317,f59]) ).
fof(f59,plain,
! [X0] :
( rp(X0,sK1(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( rp(X0,sK1(X0))
& rp(X0,sK0(X0))
& sK1(X0) != sK0(X0)
& ! [X3,X4,X5] :
( ~ rp(X0,X3)
| ~ rp(X0,X5)
| X3 = X5
| ~ rp(X0,X4)
| X3 = X4
| X4 = X5 ) )
| ~ cc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f40,f41]) ).
fof(f41,plain,
! [X0] :
( ? [X1,X2] :
( rp(X0,X2)
& rp(X0,X1)
& X1 != X2 )
=> ( rp(X0,sK1(X0))
& rp(X0,sK0(X0))
& sK1(X0) != sK0(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ( ? [X1,X2] :
( rp(X0,X2)
& rp(X0,X1)
& X1 != X2 )
& ! [X3,X4,X5] :
( ~ rp(X0,X3)
| ~ rp(X0,X5)
| X3 = X5
| ~ rp(X0,X4)
| X3 = X4
| X4 = X5 ) )
| ~ cc(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( ? [X4,X5] :
( rp(X0,X5)
& rp(X0,X4)
& X4 != X5 )
& ! [X2,X3,X1] :
( ~ rp(X0,X2)
| ~ rp(X0,X1)
| X1 = X2
| ~ rp(X0,X3)
| X2 = X3
| X1 = X3 ) )
| ~ cc(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ? [X4,X5] :
( rp(X0,X5)
& rp(X0,X4)
& X4 != X5 )
& ! [X3,X1,X2] :
( X1 = X3
| X1 = X2
| X2 = X3
| ~ rp(X0,X1)
| ~ rp(X0,X3)
| ~ rp(X0,X2) ) )
| ~ cc(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( cc(X0)
=> ( ? [X4,X5] :
( rp(X0,X5)
& rp(X0,X4)
& X4 != X5 )
& ! [X3,X1,X2] :
( ( rp(X0,X1)
& rp(X0,X3)
& rp(X0,X2) )
=> ( X1 = X3
| X1 = X2
| X2 = X3 ) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3] :
( cc(X3)
=> ( ! [X5,X4,X6] :
( ( rp(X3,X5)
& rp(X3,X6)
& rp(X3,X4) )
=> ( X5 = X6
| X4 = X5
| X4 = X6 ) )
& ? [X4,X5] :
( X4 != X5
& rp(X3,X5)
& rp(X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f317,plain,
( ! [X0] :
( ~ rp(sK2,X0)
| sK0(sK2) = X0 )
| ~ spl9_1
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f315,f108]) ).
fof(f315,plain,
( ! [X0] :
( ~ cc(sK2)
| ~ rp(sK2,X0)
| sK0(sK2) = X0 )
| ~ spl9_8 ),
inference(resolution,[],[f136,f58]) ).
fof(f58,plain,
! [X0] :
( rp(X0,sK0(X0))
| ~ cc(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f136,plain,
( ! [X2,X1] :
( ~ rp(sK2,X2)
| X1 = X2
| ~ rp(sK2,X1) )
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl9_8
<=> ! [X2,X1] :
( ~ rp(sK2,X1)
| ~ rp(sK2,X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f57,plain,
! [X0] :
( sK1(X0) != sK0(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f307,plain,
( ~ spl9_4
| spl9_7
| ~ spl9_9
| spl9_10
| spl9_11
| ~ spl9_17 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl9_4
| spl9_7
| ~ spl9_9
| spl9_10
| spl9_11
| ~ spl9_17 ),
inference(subsumption_resolution,[],[f305,f148]) ).
fof(f148,plain,
( sK6 != sK5
| spl9_10 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl9_10
<=> sK6 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f305,plain,
( sK6 = sK5
| ~ spl9_4
| spl9_7
| ~ spl9_9
| spl9_11
| ~ spl9_17 ),
inference(backward_demodulation,[],[f301,f304]) ).
fof(f304,plain,
( sK5 = sK1(sK4)
| ~ spl9_9
| spl9_11
| ~ spl9_17 ),
inference(subsumption_resolution,[],[f297,f156]) ).
fof(f156,plain,
( sK7 != sK5
| spl9_11 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl9_11
<=> sK7 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f297,plain,
( sK5 = sK1(sK4)
| sK7 = sK5
| ~ spl9_9
| ~ spl9_17 ),
inference(resolution,[],[f272,f142]) ).
fof(f142,plain,
( rp(sK4,sK5)
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl9_9
<=> rp(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f272,plain,
( ! [X4] :
( ~ rp(sK4,X4)
| sK7 = X4
| sK1(sK4) = X4 )
| ~ spl9_17 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl9_17
<=> ! [X4] :
( sK7 = X4
| ~ rp(sK4,X4)
| sK1(sK4) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_17])]) ).
fof(f301,plain,
( sK6 = sK1(sK4)
| ~ spl9_4
| spl9_7
| ~ spl9_17 ),
inference(subsumption_resolution,[],[f296,f133]) ).
fof(f133,plain,
( sK7 != sK6
| spl9_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl9_7
<=> sK7 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f296,plain,
( sK6 = sK1(sK4)
| sK7 = sK6
| ~ spl9_4
| ~ spl9_17 ),
inference(resolution,[],[f272,f120]) ).
fof(f120,plain,
( rp(sK4,sK6)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl9_4
<=> rp(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f294,plain,
( ~ spl9_4
| spl9_7
| ~ spl9_9
| spl9_10
| spl9_11
| ~ spl9_14 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl9_4
| spl9_7
| ~ spl9_9
| spl9_10
| spl9_11
| ~ spl9_14 ),
inference(subsumption_resolution,[],[f292,f148]) ).
fof(f292,plain,
( sK6 = sK5
| ~ spl9_4
| spl9_7
| ~ spl9_9
| spl9_11
| ~ spl9_14 ),
inference(forward_demodulation,[],[f291,f288]) ).
fof(f288,plain,
( sK5 = sK0(sK4)
| ~ spl9_9
| spl9_11
| ~ spl9_14 ),
inference(subsumption_resolution,[],[f284,f156]) ).
fof(f284,plain,
( sK7 = sK5
| sK5 = sK0(sK4)
| ~ spl9_9
| ~ spl9_14 ),
inference(resolution,[],[f258,f142]) ).
fof(f258,plain,
( ! [X3] :
( ~ rp(sK4,X3)
| sK7 = X3
| sK0(sK4) = X3 )
| ~ spl9_14 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl9_14
<=> ! [X3] :
( ~ rp(sK4,X3)
| sK0(sK4) = X3
| sK7 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
fof(f291,plain,
( sK6 = sK0(sK4)
| ~ spl9_4
| spl9_7
| ~ spl9_14 ),
inference(subsumption_resolution,[],[f283,f133]) ).
fof(f283,plain,
( sK7 = sK6
| sK6 = sK0(sK4)
| ~ spl9_4
| ~ spl9_14 ),
inference(resolution,[],[f258,f120]) ).
fof(f282,plain,
( ~ spl9_15
| ~ spl9_13
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f281,f267,f176,f260]) ).
fof(f260,plain,
( spl9_15
<=> sK7 = sK0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).
fof(f176,plain,
( spl9_13
<=> cc(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).
fof(f267,plain,
( spl9_16
<=> sK7 = sK1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f281,plain,
( sK7 != sK0(sK4)
| ~ spl9_13
| ~ spl9_16 ),
inference(subsumption_resolution,[],[f279,f178]) ).
fof(f178,plain,
( cc(sK4)
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f279,plain,
( ~ cc(sK4)
| sK7 != sK0(sK4)
| ~ spl9_16 ),
inference(superposition,[],[f57,f269]) ).
fof(f269,plain,
( sK7 = sK1(sK4)
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f276,plain,
~ spl9_5,
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f124,f61]) ).
fof(f61,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f124,plain,
( cowlNothing(sK8)
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl9_5
<=> cowlNothing(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f273,plain,
( spl9_16
| spl9_17
| ~ spl9_12
| ~ spl9_13 ),
inference(avatar_split_clause,[],[f265,f176,f162,f271,f267]) ).
fof(f162,plain,
( spl9_12
<=> rp(sK4,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f265,plain,
( ! [X4] :
( sK7 = X4
| sK1(sK4) = X4
| ~ rp(sK4,X4)
| sK7 = sK1(sK4) )
| ~ spl9_12
| ~ spl9_13 ),
inference(subsumption_resolution,[],[f253,f178]) ).
fof(f253,plain,
( ! [X4] :
( sK1(sK4) = X4
| ~ cc(sK4)
| ~ rp(sK4,X4)
| sK7 = X4
| sK7 = sK1(sK4) )
| ~ spl9_12
| ~ spl9_13 ),
inference(resolution,[],[f246,f59]) ).
fof(f246,plain,
( ! [X4,X5] :
( ~ rp(sK4,X5)
| ~ rp(sK4,X4)
| sK7 = X4
| X4 = X5
| sK7 = X5 )
| ~ spl9_12
| ~ spl9_13 ),
inference(subsumption_resolution,[],[f241,f178]) ).
fof(f241,plain,
( ! [X4,X5] :
( X4 = X5
| ~ rp(sK4,X5)
| ~ rp(sK4,X4)
| sK7 = X5
| sK7 = X4
| ~ cc(sK4) )
| ~ spl9_12 ),
inference(resolution,[],[f56,f164]) ).
fof(f164,plain,
( rp(sK4,sK7)
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f56,plain,
! [X3,X0,X4,X5] :
( ~ rp(X0,X5)
| X3 = X5
| ~ cc(X0)
| ~ rp(X0,X4)
| X4 = X5
| ~ rp(X0,X3)
| X3 = X4 ),
inference(cnf_transformation,[],[f42]) ).
fof(f263,plain,
( spl9_14
| spl9_15
| ~ spl9_12
| ~ spl9_13 ),
inference(avatar_split_clause,[],[f255,f176,f162,f260,f257]) ).
fof(f255,plain,
( ! [X3] :
( sK7 = sK0(sK4)
| ~ rp(sK4,X3)
| sK7 = X3
| sK0(sK4) = X3 )
| ~ spl9_12
| ~ spl9_13 ),
inference(subsumption_resolution,[],[f252,f178]) ).
fof(f252,plain,
( ! [X3] :
( sK7 = sK0(sK4)
| sK0(sK4) = X3
| ~ cc(sK4)
| sK7 = X3
| ~ rp(sK4,X3) )
| ~ spl9_12
| ~ spl9_13 ),
inference(resolution,[],[f246,f58]) ).
fof(f238,plain,
( spl9_6
| spl9_2 ),
inference(avatar_split_clause,[],[f236,f110,f126]) ).
fof(f236,plain,
( xsd_integer(sK3)
| spl9_2 ),
inference(resolution,[],[f93,f112]) ).
fof(f112,plain,
( ~ xsd_string(sK3)
| spl9_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f93,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f235,plain,
spl9_3,
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| spl9_3 ),
inference(subsumption_resolution,[],[f116,f62]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f19]) ).
fof(f116,plain,
( ~ cowlThing(sK8)
| spl9_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl9_3
<=> cowlThing(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f233,plain,
( spl9_2
| spl9_1
| spl9_13 ),
inference(avatar_split_clause,[],[f232,f176,f106,f110]) ).
fof(f232,plain,
( cc(sK4)
| cc(sK2)
| xsd_string(sK3) ),
inference(subsumption_resolution,[],[f231,f93]) ).
fof(f231,plain,
( cc(sK4)
| xsd_string(sK3)
| cc(sK2)
| ~ xsd_integer(sK3) ),
inference(subsumption_resolution,[],[f230,f61]) ).
fof(f230,plain,
( xsd_string(sK3)
| cowlNothing(sK8)
| cc(sK2)
| cc(sK4)
| ~ xsd_integer(sK3) ),
inference(subsumption_resolution,[],[f77,f62]) ).
fof(f77,plain,
( ~ xsd_integer(sK3)
| ~ cowlThing(sK8)
| cc(sK2)
| cowlNothing(sK8)
| cc(sK4)
| xsd_string(sK3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( cc(sK2)
& ! [X1,X2] :
( X1 = X2
| ~ rp(sK2,X2)
| ~ rp(sK2,X1) ) )
| ( ( ~ xsd_string(sK3)
| xsd_integer(sK3) )
& ( xsd_string(sK3)
| ~ xsd_integer(sK3) ) )
| ( sK7 != sK5
& sK6 != sK5
& rp(sK4,sK5)
& rp(sK4,sK6)
& sK7 != sK6
& rp(sK4,sK7)
& cc(sK4) )
| ~ cowlThing(sK8)
| cowlNothing(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f44,f49,f48,f47,f46,f45]) ).
fof(f45,plain,
( ? [X0] :
( cc(X0)
& ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) ) )
=> ( cc(sK2)
& ! [X2,X1] :
( X1 = X2
| ~ rp(sK2,X2)
| ~ rp(sK2,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
=> ( ( ~ xsd_string(sK3)
| xsd_integer(sK3) )
& ( xsd_string(sK3)
| ~ xsd_integer(sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ? [X4] :
( ? [X5,X6,X7] :
( X5 != X7
& X5 != X6
& rp(X4,X5)
& rp(X4,X6)
& X6 != X7
& rp(X4,X7) )
& cc(X4) )
=> ( ? [X7,X6,X5] :
( X5 != X7
& X5 != X6
& rp(sK4,X5)
& rp(sK4,X6)
& X6 != X7
& rp(sK4,X7) )
& cc(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X7,X6,X5] :
( X5 != X7
& X5 != X6
& rp(sK4,X5)
& rp(sK4,X6)
& X6 != X7
& rp(sK4,X7) )
=> ( sK7 != sK5
& sK6 != sK5
& rp(sK4,sK5)
& rp(sK4,sK6)
& sK7 != sK6
& rp(sK4,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X8] :
( ~ cowlThing(X8)
| cowlNothing(X8) )
=> ( ~ cowlThing(sK8)
| cowlNothing(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X0] :
( cc(X0)
& ! [X1,X2] :
( X1 = X2
| ~ rp(X0,X2)
| ~ rp(X0,X1) ) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ? [X4] :
( ? [X5,X6,X7] :
( X5 != X7
& X5 != X6
& rp(X4,X5)
& rp(X4,X6)
& X6 != X7
& rp(X4,X7) )
& cc(X4) )
| ? [X8] :
( ~ cowlThing(X8)
| cowlNothing(X8) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
( ? [X0] :
( cc(X0)
& ! [X2,X1] :
( X1 = X2
| ~ rp(X0,X1)
| ~ rp(X0,X2) ) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ? [X4] :
( ? [X6,X5,X7] :
( X6 != X7
& X5 != X6
& rp(X4,X6)
& rp(X4,X5)
& X5 != X7
& rp(X4,X7) )
& cc(X4) )
| ? [X8] :
( ~ cowlThing(X8)
| cowlNothing(X8) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ? [X0] :
( cc(X0)
& ! [X2,X1] :
( X1 = X2
| ~ rp(X0,X1)
| ~ rp(X0,X2) ) )
| ? [X3] :
( ~ xsd_integer(X3)
<~> xsd_string(X3) )
| ? [X4] :
( ? [X6,X5,X7] :
( X6 != X7
& X5 != X6
& rp(X4,X6)
& rp(X4,X5)
& X5 != X7
& rp(X4,X7) )
& cc(X4) )
| ? [X8] :
( ~ cowlThing(X8)
| cowlNothing(X8) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
( ? [X0] :
( cc(X0)
& ! [X2,X1] :
( X1 = X2
| ~ rp(X0,X1)
| ~ rp(X0,X2) ) )
| ? [X3] :
( ~ xsd_integer(X3)
<~> xsd_string(X3) )
| ? [X4] :
( ? [X5,X7,X6] :
( X5 != X7
& X5 != X6
& X6 != X7
& rp(X4,X5)
& rp(X4,X7)
& rp(X4,X6) )
& cc(X4) )
| ? [X8] :
( ~ cowlThing(X8)
| cowlNothing(X8) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ( ! [X0] :
( cc(X0)
=> ? [X2,X1] :
( rp(X0,X2)
& rp(X0,X1)
& X1 != X2 ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X4] :
( cc(X4)
=> ! [X5,X7,X6] :
( ( rp(X4,X5)
& rp(X4,X7)
& rp(X4,X6) )
=> ( X5 = X7
| X5 = X6
| X6 = X7 ) ) )
& ! [X8] :
( ~ cowlNothing(X8)
& cowlThing(X8) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ( ! [X3] :
( cc(X3)
=> ? [X5,X4] :
( rp(X3,X4)
& X4 != X5
& rp(X3,X5) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( cc(X3)
=> ! [X5,X4,X6] :
( ( rp(X3,X5)
& rp(X3,X6)
& rp(X3,X4) )
=> ( X4 = X6
| X5 = X6
| X4 = X5 ) ) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
( ! [X3] :
( cc(X3)
=> ? [X5,X4] :
( rp(X3,X4)
& X4 != X5
& rp(X3,X5) ) )
& ! [X3] :
( xsd_string(X3)
<=> ~ xsd_integer(X3) )
& ! [X3] :
( cc(X3)
=> ! [X5,X4,X6] :
( ( rp(X3,X5)
& rp(X3,X6)
& rp(X3,X4) )
=> ( X4 = X6
| X5 = X6
| X4 = X5 ) ) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f229,plain,
( spl9_9
| spl9_2
| spl9_1 ),
inference(avatar_split_clause,[],[f228,f106,f110,f140]) ).
fof(f228,plain,
( cc(sK2)
| xsd_string(sK3)
| rp(sK4,sK5) ),
inference(subsumption_resolution,[],[f227,f93]) ).
fof(f227,plain,
( rp(sK4,sK5)
| cc(sK2)
| ~ xsd_integer(sK3)
| xsd_string(sK3) ),
inference(subsumption_resolution,[],[f226,f62]) ).
fof(f226,plain,
( rp(sK4,sK5)
| xsd_string(sK3)
| ~ xsd_integer(sK3)
| cc(sK2)
| ~ cowlThing(sK8) ),
inference(subsumption_resolution,[],[f81,f61]) ).
fof(f81,plain,
( ~ xsd_integer(sK3)
| cowlNothing(sK8)
| rp(sK4,sK5)
| cc(sK2)
| ~ cowlThing(sK8)
| xsd_string(sK3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f225,plain,
( spl9_13
| spl9_8
| spl9_2 ),
inference(avatar_split_clause,[],[f224,f110,f135,f176]) ).
fof(f224,plain,
! [X2,X1] :
( xsd_string(sK3)
| ~ rp(sK2,X2)
| ~ rp(sK2,X1)
| X1 = X2
| cc(sK4) ),
inference(subsumption_resolution,[],[f223,f93]) ).
fof(f223,plain,
! [X2,X1] :
( ~ xsd_integer(sK3)
| xsd_string(sK3)
| ~ rp(sK2,X2)
| X1 = X2
| ~ rp(sK2,X1)
| cc(sK4) ),
inference(subsumption_resolution,[],[f222,f61]) ).
fof(f222,plain,
! [X2,X1] :
( ~ rp(sK2,X1)
| ~ xsd_integer(sK3)
| cc(sK4)
| ~ rp(sK2,X2)
| X1 = X2
| xsd_string(sK3)
| cowlNothing(sK8) ),
inference(subsumption_resolution,[],[f63,f62]) ).
fof(f63,plain,
! [X2,X1] :
( X1 = X2
| ~ cowlThing(sK8)
| ~ rp(sK2,X2)
| ~ rp(sK2,X1)
| ~ xsd_integer(sK3)
| cowlNothing(sK8)
| xsd_string(sK3)
| cc(sK4) ),
inference(cnf_transformation,[],[f50]) ).
fof(f221,plain,
( ~ spl9_2
| spl9_4
| spl9_8 ),
inference(avatar_split_clause,[],[f220,f135,f118,f110]) ).
fof(f220,plain,
! [X2,X1] :
( X1 = X2
| ~ rp(sK2,X2)
| rp(sK4,sK6)
| ~ rp(sK2,X1)
| ~ xsd_string(sK3) ),
inference(subsumption_resolution,[],[f219,f92]) ).
fof(f219,plain,
! [X2,X1] :
( rp(sK4,sK6)
| ~ rp(sK2,X1)
| X1 = X2
| ~ xsd_string(sK3)
| xsd_integer(sK3)
| ~ rp(sK2,X2) ),
inference(subsumption_resolution,[],[f218,f62]) ).
fof(f218,plain,
! [X2,X1] :
( ~ rp(sK2,X1)
| xsd_integer(sK3)
| ~ xsd_string(sK3)
| rp(sK4,sK6)
| X1 = X2
| ~ cowlThing(sK8)
| ~ rp(sK2,X2) ),
inference(subsumption_resolution,[],[f73,f61]) ).
fof(f73,plain,
! [X2,X1] :
( cowlNothing(sK8)
| X1 = X2
| ~ rp(sK2,X2)
| ~ rp(sK2,X1)
| ~ xsd_string(sK3)
| ~ cowlThing(sK8)
| rp(sK4,sK6)
| xsd_integer(sK3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f217,plain,
( ~ spl9_10
| ~ spl9_2
| spl9_8 ),
inference(avatar_split_clause,[],[f216,f135,f110,f146]) ).
fof(f216,plain,
! [X2,X1] :
( X1 = X2
| ~ xsd_string(sK3)
| ~ rp(sK2,X1)
| sK6 != sK5
| ~ rp(sK2,X2) ),
inference(subsumption_resolution,[],[f215,f92]) ).
fof(f215,plain,
! [X2,X1] :
( ~ rp(sK2,X1)
| sK6 != sK5
| xsd_integer(sK3)
| ~ rp(sK2,X2)
| X1 = X2
| ~ xsd_string(sK3) ),
inference(subsumption_resolution,[],[f214,f62]) ).
fof(f214,plain,
! [X2,X1] :
( sK6 != sK5
| ~ rp(sK2,X2)
| ~ cowlThing(sK8)
| xsd_integer(sK3)
| ~ rp(sK2,X1)
| X1 = X2
| ~ xsd_string(sK3) ),
inference(subsumption_resolution,[],[f75,f61]) ).
fof(f75,plain,
! [X2,X1] :
( xsd_integer(sK3)
| sK6 != sK5
| ~ xsd_string(sK3)
| ~ rp(sK2,X1)
| X1 = X2
| cowlNothing(sK8)
| ~ rp(sK2,X2)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f213,plain,
( spl9_1
| ~ spl9_11
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f212,f110,f154,f106]) ).
fof(f212,plain,
( ~ xsd_string(sK3)
| sK7 != sK5
| cc(sK2) ),
inference(subsumption_resolution,[],[f211,f92]) ).
fof(f211,plain,
( cc(sK2)
| ~ xsd_string(sK3)
| sK7 != sK5
| xsd_integer(sK3) ),
inference(subsumption_resolution,[],[f210,f62]) ).
fof(f210,plain,
( ~ xsd_string(sK3)
| sK7 != sK5
| ~ cowlThing(sK8)
| xsd_integer(sK3)
| cc(sK2) ),
inference(subsumption_resolution,[],[f90,f61]) ).
fof(f90,plain,
( ~ xsd_string(sK3)
| cowlNothing(sK8)
| xsd_integer(sK3)
| cc(sK2)
| sK7 != sK5
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f209,plain,
( ~ spl9_2
| spl9_13
| spl9_1 ),
inference(avatar_split_clause,[],[f208,f106,f176,f110]) ).
fof(f208,plain,
( cc(sK2)
| cc(sK4)
| ~ xsd_string(sK3) ),
inference(subsumption_resolution,[],[f207,f92]) ).
fof(f207,plain,
( xsd_integer(sK3)
| cc(sK2)
| ~ xsd_string(sK3)
| cc(sK4) ),
inference(subsumption_resolution,[],[f206,f62]) ).
fof(f206,plain,
( ~ xsd_string(sK3)
| ~ cowlThing(sK8)
| cc(sK2)
| cc(sK4)
| xsd_integer(sK3) ),
inference(subsumption_resolution,[],[f84,f61]) ).
fof(f84,plain,
( ~ xsd_string(sK3)
| cowlNothing(sK8)
| cc(sK2)
| ~ cowlThing(sK8)
| xsd_integer(sK3)
| cc(sK4) ),
inference(cnf_transformation,[],[f50]) ).
fof(f205,plain,
( spl9_4
| spl9_2
| spl9_1 ),
inference(avatar_split_clause,[],[f204,f106,f110,f118]) ).
fof(f204,plain,
( cc(sK2)
| xsd_string(sK3)
| rp(sK4,sK6) ),
inference(subsumption_resolution,[],[f203,f93]) ).
fof(f203,plain,
( rp(sK4,sK6)
| xsd_string(sK3)
| cc(sK2)
| ~ xsd_integer(sK3) ),
inference(subsumption_resolution,[],[f202,f61]) ).
fof(f202,plain,
( rp(sK4,sK6)
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| cc(sK2)
| cowlNothing(sK8) ),
inference(subsumption_resolution,[],[f80,f62]) ).
fof(f80,plain,
( ~ cowlThing(sK8)
| cc(sK2)
| rp(sK4,sK6)
| xsd_string(sK3)
| cowlNothing(sK8)
| ~ xsd_integer(sK3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f201,plain,
( ~ spl9_2
| ~ spl9_11
| spl9_8 ),
inference(avatar_split_clause,[],[f200,f135,f154,f110]) ).
fof(f200,plain,
! [X2,X1] :
( X1 = X2
| ~ rp(sK2,X1)
| sK7 != sK5
| ~ xsd_string(sK3)
| ~ rp(sK2,X2) ),
inference(subsumption_resolution,[],[f199,f92]) ).
fof(f199,plain,
! [X2,X1] :
( ~ rp(sK2,X1)
| xsd_integer(sK3)
| ~ rp(sK2,X2)
| X1 = X2
| ~ xsd_string(sK3)
| sK7 != sK5 ),
inference(subsumption_resolution,[],[f198,f61]) ).
fof(f198,plain,
! [X2,X1] :
( ~ xsd_string(sK3)
| xsd_integer(sK3)
| ~ rp(sK2,X2)
| cowlNothing(sK8)
| X1 = X2
| ~ rp(sK2,X1)
| sK7 != sK5 ),
inference(subsumption_resolution,[],[f76,f62]) ).
fof(f76,plain,
! [X2,X1] :
( sK7 != sK5
| xsd_integer(sK3)
| ~ rp(sK2,X2)
| ~ xsd_string(sK3)
| ~ cowlThing(sK8)
| X1 = X2
| cowlNothing(sK8)
| ~ rp(sK2,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f197,plain,
( spl9_5
| spl9_1
| ~ spl9_2
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f196,f146,f110,f106,f122]) ).
fof(f196,plain,
( sK6 != sK5
| ~ xsd_string(sK3)
| cc(sK2)
| cowlNothing(sK8) ),
inference(subsumption_resolution,[],[f195,f92]) ).
fof(f195,plain,
( ~ xsd_string(sK3)
| xsd_integer(sK3)
| sK6 != sK5
| cowlNothing(sK8)
| cc(sK2) ),
inference(subsumption_resolution,[],[f89,f62]) ).
fof(f89,plain,
( sK6 != sK5
| ~ xsd_string(sK3)
| xsd_integer(sK3)
| cc(sK2)
| cowlNothing(sK8)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f194,plain,
( spl9_1
| ~ spl9_7
| spl9_5
| spl9_2 ),
inference(avatar_split_clause,[],[f193,f110,f122,f131,f106]) ).
fof(f193,plain,
( xsd_string(sK3)
| cowlNothing(sK8)
| sK7 != sK6
| cc(sK2) ),
inference(subsumption_resolution,[],[f192,f93]) ).
fof(f192,plain,
( ~ xsd_integer(sK3)
| cowlNothing(sK8)
| cc(sK2)
| xsd_string(sK3)
| sK7 != sK6 ),
inference(subsumption_resolution,[],[f79,f62]) ).
fof(f79,plain,
( xsd_string(sK3)
| sK7 != sK6
| cc(sK2)
| ~ xsd_integer(sK3)
| ~ cowlThing(sK8)
| cowlNothing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f191,plain,
( ~ spl9_7
| ~ spl9_2
| spl9_5
| spl9_8 ),
inference(avatar_split_clause,[],[f190,f135,f122,f110,f131]) ).
fof(f190,plain,
! [X2,X1] :
( X1 = X2
| cowlNothing(sK8)
| ~ rp(sK2,X1)
| ~ xsd_string(sK3)
| sK7 != sK6
| ~ rp(sK2,X2) ),
inference(subsumption_resolution,[],[f189,f92]) ).
fof(f189,plain,
! [X2,X1] :
( X1 = X2
| cowlNothing(sK8)
| ~ rp(sK2,X2)
| ~ xsd_string(sK3)
| sK7 != sK6
| ~ rp(sK2,X1)
| xsd_integer(sK3) ),
inference(subsumption_resolution,[],[f72,f62]) ).
fof(f72,plain,
! [X2,X1] :
( sK7 != sK6
| ~ rp(sK2,X2)
| X1 = X2
| ~ rp(sK2,X1)
| ~ xsd_string(sK3)
| cowlNothing(sK8)
| xsd_integer(sK3)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f188,plain,
( spl9_5
| ~ spl9_2
| spl9_12
| spl9_8 ),
inference(avatar_split_clause,[],[f187,f135,f162,f110,f122]) ).
fof(f187,plain,
! [X2,X1] :
( ~ rp(sK2,X1)
| X1 = X2
| rp(sK4,sK7)
| ~ xsd_string(sK3)
| ~ rp(sK2,X2)
| cowlNothing(sK8) ),
inference(subsumption_resolution,[],[f186,f92]) ).
fof(f186,plain,
! [X2,X1] :
( rp(sK4,sK7)
| ~ xsd_string(sK3)
| ~ rp(sK2,X1)
| xsd_integer(sK3)
| X1 = X2
| cowlNothing(sK8)
| ~ rp(sK2,X2) ),
inference(subsumption_resolution,[],[f71,f62]) ).
fof(f71,plain,
! [X2,X1] :
( cowlNothing(sK8)
| rp(sK4,sK7)
| ~ rp(sK2,X1)
| ~ xsd_string(sK3)
| xsd_integer(sK3)
| ~ cowlThing(sK8)
| X1 = X2
| ~ rp(sK2,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f185,plain,
( spl9_12
| spl9_1
| spl9_5
| spl9_2 ),
inference(avatar_split_clause,[],[f184,f110,f122,f106,f162]) ).
fof(f184,plain,
( xsd_string(sK3)
| cowlNothing(sK8)
| cc(sK2)
| rp(sK4,sK7) ),
inference(subsumption_resolution,[],[f183,f93]) ).
fof(f183,plain,
( cowlNothing(sK8)
| cc(sK2)
| xsd_string(sK3)
| rp(sK4,sK7)
| ~ xsd_integer(sK3) ),
inference(subsumption_resolution,[],[f78,f62]) ).
fof(f78,plain,
( rp(sK4,sK7)
| cc(sK2)
| ~ cowlThing(sK8)
| cowlNothing(sK8)
| ~ xsd_integer(sK3)
| xsd_string(sK3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f182,plain,
( ~ spl9_10
| spl9_2
| spl9_1
| spl9_5 ),
inference(avatar_split_clause,[],[f181,f122,f106,f110,f146]) ).
fof(f181,plain,
( cowlNothing(sK8)
| cc(sK2)
| xsd_string(sK3)
| sK6 != sK5 ),
inference(subsumption_resolution,[],[f180,f93]) ).
fof(f180,plain,
( sK6 != sK5
| ~ xsd_integer(sK3)
| xsd_string(sK3)
| cowlNothing(sK8)
| cc(sK2) ),
inference(subsumption_resolution,[],[f82,f62]) ).
fof(f82,plain,
( cc(sK2)
| xsd_string(sK3)
| ~ xsd_integer(sK3)
| ~ cowlThing(sK8)
| sK6 != sK5
| cowlNothing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f179,plain,
( ~ spl9_3
| spl9_5
| spl9_13
| ~ spl9_2
| spl9_8 ),
inference(avatar_split_clause,[],[f174,f135,f110,f176,f122,f114]) ).
fof(f174,plain,
! [X2,X1] :
( X1 = X2
| ~ xsd_string(sK3)
| cc(sK4)
| ~ rp(sK2,X2)
| cowlNothing(sK8)
| ~ cowlThing(sK8)
| ~ rp(sK2,X1) ),
inference(subsumption_resolution,[],[f70,f92]) ).
fof(f70,plain,
! [X2,X1] :
( cowlNothing(sK8)
| xsd_integer(sK3)
| ~ rp(sK2,X2)
| ~ cowlThing(sK8)
| cc(sK4)
| ~ rp(sK2,X1)
| ~ xsd_string(sK3)
| X1 = X2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f173,plain,
( ~ spl9_2
| spl9_5
| ~ spl9_3
| spl9_1
| ~ spl9_7 ),
inference(avatar_split_clause,[],[f172,f131,f106,f114,f122,f110]) ).
fof(f172,plain,
( sK7 != sK6
| cc(sK2)
| ~ cowlThing(sK8)
| cowlNothing(sK8)
| ~ xsd_string(sK3) ),
inference(subsumption_resolution,[],[f86,f92]) ).
fof(f86,plain,
( sK7 != sK6
| cowlNothing(sK8)
| xsd_integer(sK3)
| ~ xsd_string(sK3)
| ~ cowlThing(sK8)
| cc(sK2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f171,plain,
( ~ spl9_3
| ~ spl9_2
| spl9_5
| spl9_12
| spl9_1 ),
inference(avatar_split_clause,[],[f170,f106,f162,f122,f110,f114]) ).
fof(f170,plain,
( cc(sK2)
| rp(sK4,sK7)
| cowlNothing(sK8)
| ~ xsd_string(sK3)
| ~ cowlThing(sK8) ),
inference(subsumption_resolution,[],[f85,f92]) ).
fof(f85,plain,
( cowlNothing(sK8)
| rp(sK4,sK7)
| ~ xsd_string(sK3)
| cc(sK2)
| xsd_integer(sK3)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f169,plain,
( ~ spl9_11
| spl9_5
| ~ spl9_3
| spl9_2
| spl9_8 ),
inference(avatar_split_clause,[],[f168,f135,f110,f114,f122,f154]) ).
fof(f168,plain,
! [X2,X1] :
( ~ rp(sK2,X2)
| X1 = X2
| xsd_string(sK3)
| ~ cowlThing(sK8)
| cowlNothing(sK8)
| ~ rp(sK2,X1)
| sK7 != sK5 ),
inference(subsumption_resolution,[],[f69,f93]) ).
fof(f69,plain,
! [X2,X1] :
( cowlNothing(sK8)
| xsd_string(sK3)
| ~ xsd_integer(sK3)
| ~ rp(sK2,X2)
| sK7 != sK5
| ~ rp(sK2,X1)
| X1 = X2
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f167,plain,
( spl9_5
| ~ spl9_3
| spl9_2
| spl9_9
| spl9_8 ),
inference(avatar_split_clause,[],[f166,f135,f140,f110,f114,f122]) ).
fof(f166,plain,
! [X2,X1] :
( ~ rp(sK2,X2)
| rp(sK4,sK5)
| xsd_string(sK3)
| ~ cowlThing(sK8)
| X1 = X2
| cowlNothing(sK8)
| ~ rp(sK2,X1) ),
inference(subsumption_resolution,[],[f67,f93]) ).
fof(f67,plain,
! [X2,X1] :
( ~ xsd_integer(sK3)
| ~ cowlThing(sK8)
| rp(sK4,sK5)
| cowlNothing(sK8)
| xsd_string(sK3)
| X1 = X2
| ~ rp(sK2,X2)
| ~ rp(sK2,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f165,plain,
( spl9_2
| ~ spl9_3
| spl9_12
| spl9_5
| spl9_8 ),
inference(avatar_split_clause,[],[f160,f135,f122,f162,f114,f110]) ).
fof(f160,plain,
! [X2,X1] :
( ~ rp(sK2,X2)
| cowlNothing(sK8)
| rp(sK4,sK7)
| ~ cowlThing(sK8)
| X1 = X2
| ~ rp(sK2,X1)
| xsd_string(sK3) ),
inference(subsumption_resolution,[],[f64,f93]) ).
fof(f64,plain,
! [X2,X1] :
( ~ rp(sK2,X1)
| X1 = X2
| ~ xsd_integer(sK3)
| ~ rp(sK2,X2)
| ~ cowlThing(sK8)
| rp(sK4,sK7)
| xsd_string(sK3)
| cowlNothing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f159,plain,
( spl9_4
| ~ spl9_3
| spl9_2
| spl9_5
| spl9_8 ),
inference(avatar_split_clause,[],[f158,f135,f122,f110,f114,f118]) ).
fof(f158,plain,
! [X2,X1] :
( ~ rp(sK2,X1)
| cowlNothing(sK8)
| xsd_string(sK3)
| ~ cowlThing(sK8)
| ~ rp(sK2,X2)
| rp(sK4,sK6)
| X1 = X2 ),
inference(subsumption_resolution,[],[f66,f93]) ).
fof(f66,plain,
! [X2,X1] :
( ~ rp(sK2,X2)
| xsd_string(sK3)
| ~ rp(sK2,X1)
| ~ cowlThing(sK8)
| ~ xsd_integer(sK3)
| X1 = X2
| rp(sK4,sK6)
| cowlNothing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f157,plain,
( ~ spl9_11
| ~ spl9_3
| spl9_5
| spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f152,f110,f106,f122,f114,f154]) ).
fof(f152,plain,
( xsd_string(sK3)
| cc(sK2)
| cowlNothing(sK8)
| ~ cowlThing(sK8)
| sK7 != sK5 ),
inference(subsumption_resolution,[],[f83,f93]) ).
fof(f83,plain,
( cc(sK2)
| ~ xsd_integer(sK3)
| cowlNothing(sK8)
| xsd_string(sK3)
| sK7 != sK5
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f151,plain,
( spl9_6
| spl9_8
| spl9_9
| spl9_5
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f150,f114,f122,f140,f135,f126]) ).
fof(f150,plain,
! [X2,X1] :
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| rp(sK4,sK5)
| X1 = X2
| ~ rp(sK2,X1)
| ~ rp(sK2,X2)
| xsd_integer(sK3) ),
inference(subsumption_resolution,[],[f74,f93]) ).
fof(f74,plain,
! [X2,X1] :
( X1 = X2
| ~ rp(sK2,X1)
| ~ xsd_string(sK3)
| ~ rp(sK2,X2)
| rp(sK4,sK5)
| cowlNothing(sK8)
| xsd_integer(sK3)
| ~ cowlThing(sK8) ),
inference(cnf_transformation,[],[f50]) ).
fof(f149,plain,
( spl9_2
| spl9_5
| ~ spl9_3
| spl9_8
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f144,f146,f135,f114,f122,f110]) ).
fof(f144,plain,
! [X2,X1] :
( sK6 != sK5
| ~ rp(sK2,X1)
| ~ cowlThing(sK8)
| X1 = X2
| cowlNothing(sK8)
| ~ rp(sK2,X2)
| xsd_string(sK3) ),
inference(subsumption_resolution,[],[f68,f93]) ).
fof(f68,plain,
! [X2,X1] :
( sK6 != sK5
| X1 = X2
| ~ rp(sK2,X1)
| ~ cowlThing(sK8)
| ~ xsd_integer(sK3)
| cowlNothing(sK8)
| ~ rp(sK2,X2)
| xsd_string(sK3) ),
inference(cnf_transformation,[],[f50]) ).
fof(f143,plain,
( spl9_9
| spl9_1
| ~ spl9_3
| spl9_6
| spl9_5 ),
inference(avatar_split_clause,[],[f138,f122,f126,f114,f106,f140]) ).
fof(f138,plain,
( cowlNothing(sK8)
| xsd_integer(sK3)
| ~ cowlThing(sK8)
| cc(sK2)
| rp(sK4,sK5) ),
inference(subsumption_resolution,[],[f88,f93]) ).
fof(f88,plain,
( xsd_integer(sK3)
| ~ xsd_string(sK3)
| ~ cowlThing(sK8)
| cowlNothing(sK8)
| cc(sK2)
| rp(sK4,sK5) ),
inference(cnf_transformation,[],[f50]) ).
fof(f137,plain,
( ~ spl9_6
| spl9_5
| ~ spl9_3
| ~ spl9_7
| spl9_2
| spl9_8 ),
inference(avatar_split_clause,[],[f65,f135,f110,f131,f114,f122,f126]) ).
fof(f65,plain,
! [X2,X1] :
( ~ rp(sK2,X1)
| xsd_string(sK3)
| sK7 != sK6
| ~ cowlThing(sK8)
| X1 = X2
| cowlNothing(sK8)
| ~ xsd_integer(sK3)
| ~ rp(sK2,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f129,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_4
| spl9_5
| spl9_6 ),
inference(avatar_split_clause,[],[f87,f126,f122,f118,f114,f110,f106]) ).
fof(f87,plain,
( xsd_integer(sK3)
| cowlNothing(sK8)
| rp(sK4,sK6)
| ~ cowlThing(sK8)
| ~ xsd_string(sK3)
| cc(sK2) ),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:44:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (3859)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.56/0.56 % (3861)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.56/0.56 % (3877)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.56/0.56 % (3884)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.56/0.57 % (3859)First to succeed.
% 1.77/0.58 % (3855)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.77/0.58 % (3868)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.77/0.58 % (3865)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.77/0.58 % (3860)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.77/0.58 % (3865)Refutation not found, incomplete strategy% (3865)------------------------------
% 1.77/0.58 % (3865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58 % (3865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58 % (3865)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.58
% 1.77/0.58 % (3865)Memory used [KB]: 6012
% 1.77/0.58 % (3865)Time elapsed: 0.171 s
% 1.77/0.58 % (3865)Instructions burned: 3 (million)
% 1.77/0.58 % (3865)------------------------------
% 1.77/0.58 % (3865)------------------------------
% 1.77/0.58 % (3864)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.77/0.58 % (3866)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.77/0.59 % (3860)Refutation not found, incomplete strategy% (3860)------------------------------
% 1.77/0.59 % (3860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59 % (3860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59 % (3860)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.59
% 1.77/0.59 % (3860)Memory used [KB]: 1535
% 1.77/0.59 % (3860)Time elapsed: 0.172 s
% 1.77/0.59 % (3860)Instructions burned: 4 (million)
% 1.77/0.59 % (3860)------------------------------
% 1.77/0.59 % (3860)------------------------------
% 1.77/0.59 % (3879)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.77/0.59 % (3869)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.77/0.59 % (3859)Refutation found. Thanks to Tanya!
% 1.77/0.59 % SZS status Theorem for theBenchmark
% 1.77/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.59 % (3859)------------------------------
% 1.77/0.59 % (3859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59 % (3859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59 % (3859)Termination reason: Refutation
% 1.77/0.59
% 1.77/0.59 % (3859)Memory used [KB]: 6140
% 1.77/0.59 % (3859)Time elapsed: 0.165 s
% 1.77/0.59 % (3859)Instructions burned: 8 (million)
% 1.77/0.59 % (3859)------------------------------
% 1.77/0.59 % (3859)------------------------------
% 1.77/0.59 % (3854)Success in time 0.238 s
%------------------------------------------------------------------------------