%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Sun Sep 27 08:51:37 AM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 18 unt; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 191 ( 69 ~; 82 |; 32 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_dat_dtype_relation_disjoint_plainliteral_real,axiom,
! [X] :
~ ( icext(uri_owl_real,X)
& icext(uri_rdf_PlainLiteral,X) ),
file('theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
fof(owl_dat_dtype_relation_subtype_string_plainliteral,axiom,
! [X] :
( icext(uri_xsd_string,X)
=> icext(uri_rdf_PlainLiteral,X) ),
file('theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
fof(owl_dat_dtype_relation_subtype_rational_real,axiom,
! [X] :
( icext(uri_owl_rational,X)
=> icext(uri_owl_real,X) ),
file('theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
fof(owl_dat_dtype_relation_subtype_decimal_rational,axiom,
! [X] :
( icext(uri_xsd_decimal,X)
=> icext(uri_owl_rational,X) ),
file('theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
fof(owl_dat_dtype_relation_subtype_integer_decimal,axiom,
! [X] :
( icext(uri_xsd_integer,X)
=> icext(uri_xsd_decimal,X) ),
file('theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
fof(owl_parts_idc_cond_set,axiom,
! [X] :
( idc(X)
=> ic(X) ),
file('theBenchmark.p',owl_parts_idc_cond_set) ).
fof(owl_rdfsext_subclassof,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_rdfsext_subclassof) ).
fof(owl_eqdis_disjointwith,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
~ ( icext(C2,X)
& icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_eqdis_disjointwith) ).
fof(testcase_conclusion_fullish_032_Datatype_Relationships,conjecture,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
& iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
file('theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).
fof(testcase_conclusion_fullish_032_Datatype_Relationships_neg,negated_conjecture,
~ ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
& iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_032_Datatype_Relationships]) ).
cnf(c_10,plain,
( ic(A)
| ~ idc(A) ),
inference(clausify,[status(thm)],[owl_parts_idc_cond_set]) ).
fof(owl_dat_dtype_integer_type,axiom,
idc(uri_xsd_integer),
file('theBenchmark.p',owl_dat_dtype_integer_type) ).
cnf(c_11,plain,
idc(uri_xsd_integer),
inference(clausify,[status(thm)],[owl_dat_dtype_integer_type]) ).
fof(owl_dat_dtype_decimal_type,axiom,
idc(uri_xsd_decimal),
file('theBenchmark.p',owl_dat_dtype_decimal_type) ).
cnf(c_12,plain,
idc(uri_xsd_decimal),
inference(clausify,[status(thm)],[owl_dat_dtype_decimal_type]) ).
fof(owl_dat_dtype_string_type,axiom,
idc(uri_xsd_string),
file('theBenchmark.p',owl_dat_dtype_string_type) ).
cnf(c_13,plain,
idc(uri_xsd_string),
inference(clausify,[status(thm)],[owl_dat_dtype_string_type]) ).
cnf(c_14,plain,
ic(uri_xsd_string),
inference(resolve,[status(thm)],[c_10,c_13]) ).
cnf(c_15,plain,
ic(uri_xsd_decimal),
inference(resolve,[status(thm)],[c_10,c_12]) ).
cnf(c_16,plain,
ic(uri_xsd_integer),
inference(resolve,[status(thm)],[c_10,c_11]) ).
cnf(c_17,negated_conjecture,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_032_Datatype_Relationships_neg]) ).
fof(nnf_8,plain,
! [C1,C2] :
( ( ? [X] :
( icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ( ( ! [X0] :
( ~ icext(C2,X0)
| ~ icext(C1,X0) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(fof_nnf,[status(thm)],[owl_eqdis_disjointwith]) ).
fof(sk_owl_eqdis_disjointwith_sk,plain,
! [C1,C2] :
( ( ( icext(C2,sK0(C1,C2))
& icext(C1,sK0(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ( ( ! [X0] :
( ~ icext(C2,X0)
| ~ icext(C1,X0) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X,sK0(C1,C2))],[nnf_8]) ).
fof(sk_owl_eqdis_disjointwith,plain,
( ! [VAR_0,VAR_1] :
( icext(VAR_1,sK0(VAR_0,VAR_1))
| ~ ic(VAR_1)
| ~ ic(VAR_0)
| iext(uri_owl_disjointWith,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( icext(VAR_0,sK0(VAR_0,VAR_1))
| ~ ic(VAR_1)
| ~ ic(VAR_0)
| iext(uri_owl_disjointWith,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ icext(VAR_1,VAR_2)
| ~ icext(VAR_0,VAR_2)
| ~ iext(uri_owl_disjointWith,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ic(VAR_1)
| ~ iext(uri_owl_disjointWith,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ic(VAR_0)
| ~ iext(uri_owl_disjointWith,VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_owl_eqdis_disjointwith_sk]) ).
cnf(c_18,plain,
( icext(B,sK0(A,B))
| ~ ic(B)
| ~ ic(A)
| iext(uri_owl_disjointWith,A,B) ),
inference(split_conjunct,[status(thm)],[sk_owl_eqdis_disjointwith]) ).
cnf(c_19,plain,
( icext(A,sK0(A,B))
| ~ ic(B)
| ~ ic(A)
| iext(uri_owl_disjointWith,A,B) ),
inference(split_conjunct,[status(thm)],[sk_owl_eqdis_disjointwith]) ).
fof(nnf_7,plain,
! [C1,C2] :
( ( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X0] :
( icext(C2,X0)
| ~ icext(C1,X0) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof]) ).
fof(sk_owl_rdfsext_subclassof_sk,plain,
! [C1,C2] :
( ( ( ~ icext(C2,sK1(C1,C2))
& icext(C1,sK1(C1,C2)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X0] :
( icext(C2,X0)
| ~ icext(C1,X0) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X,sK1(C1,C2))],[nnf_7]) ).
fof(sk_owl_rdfsext_subclassof,plain,
( ! [VAR_0,VAR_1] :
( ~ icext(VAR_1,sK1(VAR_0,VAR_1))
| ~ ic(VAR_1)
| ~ ic(VAR_0)
| iext(uri_rdfs_subClassOf,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( icext(VAR_0,sK1(VAR_0,VAR_1))
| ~ ic(VAR_1)
| ~ ic(VAR_0)
| iext(uri_rdfs_subClassOf,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( icext(VAR_1,VAR_2)
| ~ icext(VAR_0,VAR_2)
| ~ iext(uri_rdfs_subClassOf,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ic(VAR_1)
| ~ iext(uri_rdfs_subClassOf,VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( ic(VAR_0)
| ~ iext(uri_rdfs_subClassOf,VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_owl_rdfsext_subclassof_sk]) ).
cnf(c_23,plain,
( ~ icext(B,sK1(A,B))
| ~ ic(B)
| ~ ic(A)
| iext(uri_rdfs_subClassOf,A,B) ),
inference(split_conjunct,[status(thm)],[sk_owl_rdfsext_subclassof]) ).
cnf(c_24,plain,
( icext(A,sK1(A,B))
| ~ ic(B)
| ~ ic(A)
| iext(uri_rdfs_subClassOf,A,B) ),
inference(split_conjunct,[status(thm)],[sk_owl_rdfsext_subclassof]) ).
cnf(c_28,plain,
( icext(uri_xsd_decimal,A)
| ~ icext(uri_xsd_integer,A) ),
inference(clausify,[status(thm)],[owl_dat_dtype_relation_subtype_integer_decimal]) ).
cnf(c_29,plain,
( icext(uri_owl_rational,A)
| ~ icext(uri_xsd_decimal,A) ),
inference(clausify,[status(thm)],[owl_dat_dtype_relation_subtype_decimal_rational]) ).
cnf(c_30,plain,
( icext(uri_owl_real,A)
| ~ icext(uri_owl_rational,A) ),
inference(clausify,[status(thm)],[owl_dat_dtype_relation_subtype_rational_real]) ).
cnf(c_31,plain,
( icext(uri_rdf_PlainLiteral,A)
| ~ icext(uri_xsd_string,A) ),
inference(clausify,[status(thm)],[owl_dat_dtype_relation_subtype_string_plainliteral]) ).
cnf(c_32,plain,
( ~ icext(uri_owl_real,A)
| ~ icext(uri_rdf_PlainLiteral,A) ),
inference(clausify,[status(thm)],[owl_dat_dtype_relation_disjoint_plainliteral_real]) ).
cnf(c_38,plain,
( icext(A,sK0(uri_xsd_decimal,A))
| ~ ic(A)
| iext(uri_owl_disjointWith,uri_xsd_decimal,A) ),
inference(resolve,[status(thm)],[c_18,c_15]) ).
cnf(c_44,plain,
( icext(uri_xsd_decimal,sK0(uri_xsd_decimal,A))
| ~ ic(A)
| iext(uri_owl_disjointWith,uri_xsd_decimal,A) ),
inference(resolve,[status(thm)],[c_19,c_15]) ).
cnf(c_49,plain,
( icext(uri_xsd_integer,sK1(uri_xsd_integer,A))
| ~ ic(A)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,A) ),
inference(resolve,[status(thm)],[c_24,c_16]) ).
cnf(c_66,plain,
( icext(uri_xsd_string,sK0(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(resolve,[status(thm)],[c_38,c_14]) ).
cnf(c_74,plain,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| icext(uri_xsd_string,sK0(uri_xsd_decimal,uri_xsd_string)) ),
inference(resolve,[status(thm)],[c_66,c_17]) ).
cnf(c_82,plain,
( icext(uri_xsd_decimal,sK0(uri_xsd_decimal,uri_xsd_string))
| iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
inference(resolve,[status(thm)],[c_44,c_14]) ).
cnf(c_85,plain,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| icext(uri_xsd_decimal,sK0(uri_xsd_decimal,uri_xsd_string)) ),
inference(resolve,[status(thm)],[c_82,c_17]) ).
cnf(c_90,plain,
( icext(uri_xsd_integer,sK1(uri_xsd_integer,uri_xsd_decimal))
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolve,[status(thm)],[c_49,c_15]) ).
cnf(c_92,plain,
( icext(uri_xsd_decimal,sK0(uri_xsd_decimal,uri_xsd_string))
| icext(uri_xsd_integer,sK1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(resolve,[status(thm)],[c_90,c_85]) ).
cnf(c_93,plain,
( icext(uri_xsd_string,sK0(uri_xsd_decimal,uri_xsd_string))
| icext(uri_xsd_integer,sK1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(resolve,[status(thm)],[c_90,c_74]) ).
cnf(c_96,plain,
( icext(uri_xsd_decimal,sK1(uri_xsd_integer,uri_xsd_decimal))
| icext(uri_xsd_decimal,sK0(uri_xsd_decimal,uri_xsd_string)) ),
inference(resolve,[status(thm)],[c_92,c_28]) ).
cnf(c_98,plain,
( icext(uri_rdf_PlainLiteral,sK0(uri_xsd_decimal,uri_xsd_string))
| icext(uri_xsd_integer,sK1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(resolve,[status(thm)],[c_93,c_31]) ).
cnf(c_105,plain,
( icext(uri_owl_rational,sK0(uri_xsd_decimal,uri_xsd_string))
| icext(uri_xsd_decimal,sK1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(resolve,[status(thm)],[c_96,c_29]) ).
cnf(c_111,plain,
( ~ icext(uri_owl_real,sK0(uri_xsd_decimal,uri_xsd_string))
| icext(uri_xsd_integer,sK1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(resolve,[status(thm)],[c_98,c_32]) ).
cnf(c_115,plain,
( icext(uri_owl_real,sK0(uri_xsd_decimal,uri_xsd_string))
| icext(uri_xsd_decimal,sK1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(resolve,[status(thm)],[c_105,c_30]) ).
cnf(c_131,plain,
( icext(uri_xsd_integer,sK1(uri_xsd_integer,uri_xsd_decimal))
| icext(uri_xsd_decimal,sK1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(resolve,[status(thm)],[c_115,c_111]) ).
cnf(c_164,plain,
( icext(uri_xsd_decimal,sK1(uri_xsd_integer,uri_xsd_decimal))
| icext(uri_xsd_decimal,sK1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(resolve,[status(thm)],[c_131,c_28]) ).
cnf(c_135,plain,
icext(uri_xsd_decimal,sK1(uri_xsd_integer,uri_xsd_decimal)),
inference(copy,[status(thm)],[c_164]) ).
cnf(c_165,plain,
( ~ ic(uri_xsd_decimal)
| ~ ic(uri_xsd_integer)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolve,[status(thm)],[c_135,c_23]) ).
cnf(c_166,plain,
( ~ ic(uri_xsd_decimal)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(resolve,[status(thm)],[c_16,c_165]) ).
cnf(c_138,plain,
iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
inference(resolve,[status(thm)],[c_15,c_166]) ).
cnf(c_139,plain,
icext(uri_xsd_decimal,sK0(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[status(thm)],[c_138,c_85]) ).
cnf(c_140,plain,
icext(uri_xsd_string,sK0(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[status(thm)],[c_138,c_74]) ).
cnf(c_148,plain,
icext(uri_owl_rational,sK0(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[status(thm)],[c_139,c_29]) ).
cnf(c_151,plain,
icext(uri_rdf_PlainLiteral,sK0(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[status(thm)],[c_140,c_31]) ).
cnf(c_157,plain,
icext(uri_owl_real,sK0(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[status(thm)],[c_148,c_30]) ).
cnf(c_167,plain,
~ icext(uri_owl_real,sK0(uri_xsd_decimal,uri_xsd_string)),
inference(resolve,[status(thm)],[c_151,c_32]) ).
cnf(c_163,plain,
$false,
inference(resolve,[status(thm)],[c_157,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB032+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n015.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 11:56:43 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 3968500 was started by sandbox on n015,
% 0.18/0.45 % Sat Sep 26 11:56:43 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 0.18/0.50
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50
% 0.18/0.50 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.18/0.50 % Length of proof is 50.
% 0.18/0.50 % Level of proof is 16.
% 0.18/0.50 % Maximum clause weight is 13.000.
% 0.18/0.50 % Given clauses 118.
% 0.18/0.50
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------