%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB008+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 : Tue May 5 05:16:40 PM UTC 2026
% Result : Theorem 2.46s 2.06s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 59 ( 11 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 59 ( 22 ~; 22 |; 11 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
fof(owl_char_inversefunctional,axiom,
! [X2] :
( icext(uri_owl_InverseFunctionalProperty,X2)
<=> ( ip(X2)
& ! [X37,X38,X7] :
( ( iext(X2,X37,X7)
& iext(X2,X38,X7) )
=> X37 = X38 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).
fof(testcase_premise_fullish_008_Inverse_Functional_Data_Properties,axiom,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(owl_eqdis_sameas,axiom,
! [X4,X7] :
( iext(uri_owl_sameAs,X4,X7)
<=> X4 = X7 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).
fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
fof(c_0_5,plain,
! [X1021,X1022] :
( ( ~ iext(uri_rdf_type,X1021,X1022)
| icext(X1022,X1021) )
& ( ~ icext(X1022,X1021)
| iext(uri_rdf_type,X1021,X1022) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
fof(c_0_6,plain,
! [X2011,X2012,X2013,X2014,X2015] :
( ( ip(X2011)
| ~ icext(uri_owl_InverseFunctionalProperty,X2011) )
& ( ~ iext(X2011,X2012,X2014)
| ~ iext(X2011,X2013,X2014)
| X2012 = X2013
| ~ icext(uri_owl_InverseFunctionalProperty,X2011) )
& ( iext(X2015,esk166_1(X2015),esk168_1(X2015))
| ~ ip(X2015)
| icext(uri_owl_InverseFunctionalProperty,X2015) )
& ( iext(X2015,esk167_1(X2015),esk168_1(X2015))
| ~ ip(X2015)
| icext(uri_owl_InverseFunctionalProperty,X2015) )
& ( esk166_1(X2015) != esk167_1(X2015)
| ~ ip(X2015)
| icext(uri_owl_InverseFunctionalProperty,X2015) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_char_inversefunctional])])])])])]) ).
cnf(c_0_7,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).
cnf(c_0_9,plain,
( X2 = X4
| ~ iext(X1,X2,X3)
| ~ iext(X1,X4,X3)
| ~ icext(uri_owl_InverseFunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ iext(uri_foaf_mbox_sha1sum,X2,X3)
| ~ iext(uri_foaf_mbox_sha1sum,X1,X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).
fof(c_0_13,plain,
! [X1812,X1813] :
( ( ~ iext(uri_owl_sameAs,X1812,X1813)
| X1812 = X1813 )
& ( X1812 != X1813
| iext(uri_owl_sameAs,X1812,X1813) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).
fof(c_0_14,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties])]) ).
cnf(c_0_15,plain,
( X1 = uri_ex_robert
| ~ iext(uri_foaf_mbox_sha1sum,X1,literal_plain(dat_str_xyz)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).
cnf(c_0_17,plain,
( iext(uri_owl_sameAs,X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
uri_ex_robert = uri_ex_bob,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
iext(uri_owl_sameAs,X1,X1),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB008+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:07:00 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.46/2.06 % Version : CSE_E---1.7
% 2.46/2.06 % Problem : theBenchmark.p
% 2.46/2.06 % SZS status Theorem for theBenchmark.p
% 2.46/2.06 % SZS output start CNFRefutation
% See solution above
% 2.46/2.07 % Total time : 1.479s
%------------------------------------------------------------------------------