%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 : Unsatisfiable 0.04s 0.31s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 23 ~; 22 |; 15 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 39 ( 2 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(owl_restrict_hasself,axiom,
! [Z,P,V] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_hasSelf,Z,V) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,X) ) ),
file('theBenchmark.p',owl_restrict_hasself) ).
fof(owl_bool_complementof_class,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('theBenchmark.p',owl_bool_complementof_class) ).
fof(testcase_premise_fullish_030_Bad_Class,axiom,
? [BNODE_x] :
( iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
file('theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).
fof(nnf_4,plain,
? [BNODE_x] :
( iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_030_Bad_Class]) ).
fof(sk_testcase_premise_fullish_030_Bad_Class,plain,
( iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,sK0,uri_rdf_type)
& iext(uri_rdf_type,sK0,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,sK0)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(BNODE_x,sK0)],[nnf_4]) ).
cnf(c_5,plain,
iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_030_Bad_Class]) ).
cnf(c_6,plain,
iext(uri_owl_onProperty,sK0,uri_rdf_type),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_030_Bad_Class]) ).
cnf(c_8,plain,
iext(uri_owl_complementOf,uri_ex_c,sK0),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_030_Bad_Class]) ).
cnf(c_10,plain,
( icext(B,C)
| icext(A,C)
| ~ iext(uri_owl_complementOf,A,B) ),
inference(clausify,[status(thm)],[owl_bool_complementof_class]) ).
cnf(c_11,plain,
( ~ icext(B,C)
| ~ icext(A,C)
| ~ iext(uri_owl_complementOf,A,B) ),
inference(clausify,[status(thm)],[owl_bool_complementof_class]) ).
cnf(c_12,plain,
( ~ iext(C,D,D)
| icext(A,D)
| ~ iext(uri_owl_onProperty,A,C)
| ~ iext(uri_owl_hasSelf,A,B) ),
inference(clausify,[status(thm)],[owl_restrict_hasself]) ).
cnf(c_13,plain,
( iext(C,D,D)
| ~ icext(A,D)
| ~ iext(uri_owl_onProperty,A,C)
| ~ iext(uri_owl_hasSelf,A,B) ),
inference(clausify,[status(thm)],[owl_restrict_hasself]) ).
cnf(c_14,plain,
( ~ icext(B,A)
| iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
cnf(c_15,plain,
( icext(B,A)
| ~ iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
cnf(c_20,plain,
( icext(sK0,A)
| icext(uri_ex_c,A) ),
inference(resolve,[status(thm)],[c_10,c_8]) ).
cnf(c_21,plain,
( ~ icext(sK0,A)
| ~ icext(uri_ex_c,A) ),
inference(resolve,[status(thm)],[c_11,c_8]) ).
cnf(c_22,plain,
( ~ iext(A,B,B)
| icext(sK0,B)
| ~ iext(uri_owl_onProperty,sK0,A) ),
inference(resolve,[status(thm)],[c_12,c_5]) ).
cnf(c_24,plain,
( iext(A,B,B)
| ~ icext(sK0,B)
| ~ iext(uri_owl_onProperty,sK0,A) ),
inference(resolve,[status(thm)],[c_13,c_5]) ).
cnf(c_33,plain,
( ~ iext(uri_rdf_type,A,A)
| icext(sK0,A) ),
inference(resolve,[status(thm)],[c_22,c_6]) ).
cnf(c_34,plain,
( iext(uri_rdf_type,A,A)
| ~ icext(sK0,A) ),
inference(resolve,[status(thm)],[c_24,c_6]) ).
cnf(c_35,plain,
( icext(uri_ex_c,A)
| iext(uri_rdf_type,A,A) ),
inference(resolve,[status(thm)],[c_34,c_20]) ).
cnf(c_36,plain,
( icext(A,A)
| icext(uri_ex_c,A) ),
inference(resolve,[status(thm)],[c_35,c_15]) ).
cnf(c_38,plain,
icext(uri_ex_c,uri_ex_c),
inference(factor,[status(thm)],[c_36]) ).
cnf(c_40,plain,
iext(uri_rdf_type,uri_ex_c,uri_ex_c),
inference(resolve,[status(thm)],[c_38,c_14]) ).
cnf(c_41,plain,
~ icext(sK0,uri_ex_c),
inference(resolve,[status(thm)],[c_21,c_38]) ).
cnf(c_47,plain,
~ iext(uri_rdf_type,uri_ex_c,uri_ex_c),
inference(resolve,[status(thm)],[c_33,c_41]) ).
cnf(c_46,plain,
$false,
inference(resolve,[status(thm)],[c_40,c_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 11:52:35 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/0.30 % Process 515755 was started by sandbox2 on n012,
% 0.04/0.30 % Sat Sep 26 11:52:35 2026
% 0.04/0.30 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.04/0.30
% 0.04/0.30 % From the command line: assign(max_seconds, 300).
% 0.04/0.31
% 0.04/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.04/0.31
% 0.04/0.31 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.04/0.31 % Length of proof is 25.
% 0.04/0.31 % Level of proof is 8.
% 0.04/0.31 % Maximum clause weight is 15.000.
% 0.04/0.31 % Given clauses 30.
% 0.04/0.31
% 0.04/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------