TSTP Solution File: SWB008+2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : Thu Aug 31 20:01:50 EDT 2023
% Result : Theorem 0.12s 0.46s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 37 ( 9 unt; 15 typ; 0 def)
% Number of atoms : 62 ( 12 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 65 ( 25 ~; 25 |; 11 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 7 >; 3 *; 0 +; 0 <<)
% 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 : 34 ( 0 sgn; 17 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_rdf_type: $i ).
tff(decl_23,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
icext: ( $i * $i ) > $o ).
tff(decl_25,type,
uri_owl_sameAs: $i ).
tff(decl_26,type,
uri_owl_InverseFunctionalProperty: $i ).
tff(decl_27,type,
ip: $i > $o ).
tff(decl_28,type,
uri_ex_bob: $i ).
tff(decl_29,type,
uri_ex_robert: $i ).
tff(decl_30,type,
uri_foaf_mbox_sha1sum: $i ).
tff(decl_31,type,
uri_owl_DatatypeProperty: $i ).
tff(decl_32,type,
dat_str_xyz: $i ).
tff(decl_33,type,
literal_plain: $i > $i ).
tff(decl_34,type,
esk1_1: $i > $i ).
tff(decl_35,type,
esk2_1: $i > $i ).
tff(decl_36,type,
esk3_1: $i > $i ).
fof(owl_char_inversefunctional,axiom,
! [X4] :
( icext(uri_owl_InverseFunctionalProperty,X4)
<=> ( ip(X4)
& ! [X5,X6,X3] :
( ( iext(X4,X5,X3)
& iext(X4,X6,X3) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
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/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(owl_eqdis_sameas,axiom,
! [X1,X3] :
( iext(uri_owl_sameAs,X1,X3)
<=> X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
fof(c_0_5,plain,
! [X11,X12,X13,X14,X15] :
( ( ip(X11)
| ~ icext(uri_owl_InverseFunctionalProperty,X11) )
& ( ~ iext(X11,X12,X14)
| ~ iext(X11,X13,X14)
| X12 = X13
| ~ icext(uri_owl_InverseFunctionalProperty,X11) )
& ( iext(X15,esk1_1(X15),esk3_1(X15))
| ~ ip(X15)
| icext(uri_owl_InverseFunctionalProperty,X15) )
& ( iext(X15,esk2_1(X15),esk3_1(X15))
| ~ ip(X15)
| icext(uri_owl_InverseFunctionalProperty,X15) )
& ( esk1_1(X15) != esk2_1(X15)
| ~ ip(X15)
| icext(uri_owl_InverseFunctionalProperty,X15) ) ),
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])])])])])]) ).
fof(c_0_6,plain,
! [X7,X8] :
( ( ~ iext(uri_rdf_type,X7,X8)
| icext(X8,X7) )
& ( ~ icext(X8,X7)
| iext(uri_rdf_type,X7,X8) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_7,plain,
( X2 = X4
| ~ iext(X1,X2,X3)
| ~ iext(X1,X4,X3)
| ~ icext(uri_owl_InverseFunctionalProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 = X2
| ~ iext(uri_rdf_type,X3,uri_owl_InverseFunctionalProperty)
| ~ iext(X3,X2,X4)
| ~ iext(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,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_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,
! [X9,X10] :
( ( ~ iext(uri_owl_sameAs,X9,X10)
| X9 = X10 )
& ( X9 != X10
| iext(uri_owl_sameAs,X9,X10) ) ),
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
% 0.00/0.08 % Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Sun Aug 27 06:32:44 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.12/0.45 start to proof: theBenchmark
% 0.12/0.46 % Version : CSE_E---1.5
% 0.12/0.46 % Problem : theBenchmark.p
% 0.12/0.46 % Proof found
% 0.12/0.46 % SZS status Theorem for theBenchmark.p
% 0.12/0.46 % SZS output start Proof
% See solution above
% 0.12/0.46 % Total time : 0.004000 s
% 0.12/0.46 % SZS output end Proof
% 0.12/0.46 % Total time : 0.006000 s
%------------------------------------------------------------------------------