%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB008+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 08:51:28 AM UTC 2026
% Result : Theorem 0.02s 0.38s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 36 ( 7 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 29 ( 12 ~; 8 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 17 ( 0 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(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('theBenchmark.p',owl_eqdis_sameas) ).
fof(owl_char_inversefunctional,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( ( iext(P,X2,Y)
& iext(P,X1,Y) )
=> X1 = X2 )
& ip(P) ) ),
file('theBenchmark.p',owl_char_inversefunctional) ).
fof(testcase_premise_fullish_008_Inverse_Functional_Data_Properties,axiom,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
file('theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties_neg,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties]) ).
cnf(c_10,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties_neg]) ).
cnf(c_11,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(clausify,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).
cnf(c_12,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(clausify,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).
cnf(c_13,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(clausify,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).
cnf(c_15,plain,
( D = B
| ~ iext(A,D,C)
| ~ iext(A,B,C)
| ~ icext(uri_owl_InverseFunctionalProperty,A) ),
inference(clausify,[status(thm)],[owl_char_inversefunctional]) ).
cnf(c_16,plain,
( B != A
| iext(uri_owl_sameAs,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_sameas]) ).
cnf(c_19,plain,
( icext(B,A)
| ~ iext(uri_rdf_type,A,B) ),
inference(clausify,[status(thm)],[rdfs_cext_def]) ).
cnf(c_21,negated_conjecture,
uri_ex_robert != uri_ex_bob,
inference(resolve,[status(thm)],[c_16,c_10]) ).
cnf(c_23,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(resolve,[status(thm)],[c_19,c_13]) ).
cnf(c_26,plain,
( A = uri_ex_bob
| ~ iext(uri_foaf_mbox_sha1sum,A,literal_plain(dat_str_xyz))
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(resolve,[status(thm)],[c_15,c_12]) ).
cnf(c_27,plain,
( uri_ex_robert = uri_ex_bob
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(resolve,[status(thm)],[c_26,c_11]) ).
cnf(c_24,plain,
~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(resolve,[status(thm)],[c_27,c_21]) ).
cnf(c_25,plain,
$false,
inference(resolve,[status(thm)],[c_24,c_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.36 % Computer : n015.cluster.edu
% 0.02/0.36 % Model : x86_64 x86_64
% 0.02/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.36 % Memory : 8046.5625MB
% 0.02/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sat Sep 26 11:44:28 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.37 % Process 3951381 was started by sandbox on n015,
% 0.02/0.37 % Sat Sep 26 11:44:28 2026
% 0.02/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.02/0.37
% 0.02/0.37 % From the command line: assign(max_seconds, 300).
% 0.02/0.38
% 0.02/0.38 % SZS status Theorem for theBenchmark
% 0.02/0.38
% 0.02/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.02/0.38 % Length of proof is 16.
% 0.02/0.38 % Level of proof is 4.
% 0.02/0.38 % Maximum clause weight is 14.000.
% 0.02/0.38 % Given clauses 12.
% 0.02/0.38
% 0.02/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------