%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB018+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 : n005.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 08:51:32 AM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 28 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 7 |; 2 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 24 ( 4 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_domain_main,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('theBenchmark.p',rdfs_domain_main) ).
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('theBenchmark.p',owl_eqdis_sameas) ).
fof(testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics,axiom,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
file('theBenchmark.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).
fof(testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics,conjecture,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
file('theBenchmark.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).
fof(testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics_neg,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
cnf(c_6,plain,
( ~ icext(B,A)
| iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
cnf(c_8,plain,
( icext(B,C)
| ~ iext(A,C,D)
| ~ iext(uri_rdfs_domain,A,B) ),
inference(clausify,[status(thm)],[rdfs_domain_main]) ).
cnf(c_9,plain,
( iext(uri_rdf_type,C,B)
| ~ iext(A,C,D)
| ~ iext(uri_rdfs_domain,A,B) ),
inference(resolve,[status(thm)],[c_8,c_6]) ).
cnf(c_10,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics_neg]) ).
cnf(c_12,plain,
iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
inference(clausify,[status(thm)],[testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
cnf(c_13,plain,
( B != A
| iext(uri_owl_sameAs,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_sameas]) ).
cnf(c_19,plain,
( iext(uri_rdf_type,A,uri_ex_Person)
| ~ iext(uri_owl_sameAs,A,B) ),
inference(resolve,[status(thm)],[c_9,c_12]) ).
cnf(c_16,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_u,A),
inference(resolve,[status(thm)],[c_19,c_10]) ).
cnf(c_17,plain,
iext(uri_owl_sameAs,A,A),
inference(xxres,[status(thm)],[c_13]) ).
cnf(c_18,plain,
$false,
inference(resolve,[status(thm)],[c_17,c_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 11:46:32 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 2038232 was started by sandbox on n005,
% 0.17/0.44 % Sat Sep 26 11:46:32 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 0.17/0.46
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46
% 0.17/0.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/0.46 % Length of proof is 14.
% 0.17/0.46 % Level of proof is 4.
% 0.17/0.46 % Maximum clause weight is 12.000.
% 0.17/0.46 % Given clauses 5.
% 0.17/0.46
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------