TSTP Solution File: SWB009+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB009+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 : n018.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 20:01:51 EDT 2023
% Result : Theorem 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 39 ( 8 unt; 13 typ; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 79 ( 31 ~; 28 |; 17 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 3 >; 6 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 38 ( 0 sgn; 15 !; 4 ?; 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_someValuesFrom: $i ).
tff(decl_26,type,
uri_owl_onProperty: $i ).
tff(decl_27,type,
uri_ex_p: $i ).
tff(decl_28,type,
uri_ex_s: $i ).
tff(decl_29,type,
uri_ex_c: $i ).
tff(decl_30,type,
uri_owl_ObjectProperty: $i ).
tff(decl_31,type,
uri_owl_Class: $i ).
tff(decl_32,type,
uri_owl_Restriction: $i ).
tff(decl_33,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
esk2_0: $i ).
fof(owl_restrict_somevaluesfrom,axiom,
! [X3,X4,X2] :
( ( iext(uri_owl_someValuesFrom,X3,X2)
& iext(uri_owl_onProperty,X3,X4) )
=> ! [X1] :
( icext(X3,X1)
<=> ? [X5] :
( iext(X4,X1,X5)
& icext(X2,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
? [X7] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,X7)
& iext(uri_rdf_type,X7,uri_owl_Restriction)
& iext(uri_owl_onProperty,X7,uri_ex_p)
& iext(uri_owl_someValuesFrom,X7,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
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_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [X6] :
( iext(uri_ex_p,uri_ex_s,X6)
& iext(uri_rdf_type,X6,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
fof(c_0_4,plain,
! [X10,X11,X12,X13,X15,X16] :
( ( iext(X11,X13,esk1_4(X10,X11,X12,X13))
| ~ icext(X10,X13)
| ~ iext(uri_owl_someValuesFrom,X10,X12)
| ~ iext(uri_owl_onProperty,X10,X11) )
& ( icext(X12,esk1_4(X10,X11,X12,X13))
| ~ icext(X10,X13)
| ~ iext(uri_owl_someValuesFrom,X10,X12)
| ~ iext(uri_owl_onProperty,X10,X11) )
& ( ~ iext(X11,X15,X16)
| ~ icext(X12,X16)
| icext(X10,X15)
| ~ iext(uri_owl_someValuesFrom,X10,X12)
| ~ iext(uri_owl_onProperty,X10,X11) ) ),
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_restrict_somevaluesfrom])])])])])]) ).
fof(c_0_5,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,esk2_0)
& iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk2_0,uri_ex_p)
& iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments])]) ).
cnf(c_0_6,plain,
( icext(X1,esk1_4(X2,X3,X1,X4))
| ~ icext(X2,X4)
| ~ iext(uri_owl_someValuesFrom,X2,X1)
| ~ iext(uri_owl_onProperty,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X8,X9] :
( ( ~ iext(uri_rdf_type,X8,X9)
| icext(X9,X8) )
& ( ~ icext(X9,X8)
| iext(uri_rdf_type,X8,X9) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_9,plain,
( icext(uri_ex_c,esk1_4(esk2_0,X1,uri_ex_c,X2))
| ~ icext(esk2_0,X2)
| ~ iext(uri_owl_onProperty,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
iext(uri_owl_onProperty,esk2_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
iext(uri_rdf_type,uri_ex_s,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( iext(X1,X2,esk1_4(X3,X1,X4,X2))
| ~ icext(X3,X2)
| ~ iext(uri_owl_someValuesFrom,X3,X4)
| ~ iext(uri_owl_onProperty,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_14,negated_conjecture,
~ ? [X6] :
( iext(uri_ex_p,uri_ex_s,X6)
& iext(uri_rdf_type,X6,uri_ex_c) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).
cnf(c_0_15,plain,
( icext(uri_ex_c,esk1_4(esk2_0,uri_ex_p,uri_ex_c,X1))
| ~ icext(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,plain,
icext(esk2_0,uri_ex_s),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( iext(X1,X2,esk1_4(esk2_0,X1,uri_ex_c,X2))
| ~ icext(esk2_0,X2)
| ~ iext(uri_owl_onProperty,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
fof(c_0_18,negated_conjecture,
! [X17] :
( ~ iext(uri_ex_p,uri_ex_s,X17)
| ~ iext(uri_rdf_type,X17,uri_ex_c) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
cnf(c_0_19,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,plain,
icext(uri_ex_c,esk1_4(esk2_0,uri_ex_p,uri_ex_c,uri_ex_s)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( iext(uri_ex_p,X1,esk1_4(esk2_0,uri_ex_p,uri_ex_c,X1))
| ~ icext(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_10]) ).
cnf(c_0_22,negated_conjecture,
( ~ iext(uri_ex_p,uri_ex_s,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_c) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
iext(uri_rdf_type,esk1_4(esk2_0,uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
iext(uri_ex_p,uri_ex_s,esk1_4(esk2_0,uri_ex_p,uri_ex_c,uri_ex_s)),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34 % Computer : n018.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 07:15:31 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.56 % Version : CSE_E---1.5
% 0.19/0.56 % Problem : theBenchmark.p
% 0.19/0.56 % Proof found
% 0.19/0.56 % SZS status Theorem for theBenchmark.p
% 0.19/0.56 % SZS output start Proof
% See solution above
% 0.19/0.56 % Total time : 0.007000 s
% 0.19/0.56 % SZS output end Proof
% 0.19/0.56 % Total time : 0.010000 s
%------------------------------------------------------------------------------