TSTP Solution File: SWB024+2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB024+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 : n003.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 20:02:03 EDT 2023
% Result : Theorem 0.21s 0.57s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of formulae : 59 ( 9 unt; 23 typ; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 157 ( 61 ~; 58 |; 31 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-3 aty)
% Number of variables : 65 ( 0 sgn; 30 !; 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_minCardinality: $i ).
tff(decl_26,type,
dat_str_1: $i ).
tff(decl_27,type,
uri_xsd_nonNegativeInteger: $i ).
tff(decl_28,type,
literal_typed: ( $i * $i ) > $i ).
tff(decl_29,type,
uri_owl_onProperty: $i ).
tff(decl_30,type,
uri_rdfs_subClassOf: $i ).
tff(decl_31,type,
ic: $i > $o ).
tff(decl_32,type,
uri_owl_TransitiveProperty: $i ).
tff(decl_33,type,
ip: $i > $o ).
tff(decl_34,type,
uri_ex_hasAncestor: $i ).
tff(decl_35,type,
uri_ex_bob: $i ).
tff(decl_36,type,
uri_ex_alice: $i ).
tff(decl_37,type,
uri_ex_Person: $i ).
tff(decl_38,type,
uri_owl_Restriction: $i ).
tff(decl_39,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk3_1: $i > $i ).
tff(decl_42,type,
esk4_1: $i > $i ).
tff(decl_43,type,
esk5_1: $i > $i ).
tff(decl_44,type,
esk6_0: $i ).
fof(owl_char_transitive,axiom,
! [X4] :
( icext(uri_owl_TransitiveProperty,X4)
<=> ( ip(X4)
& ! [X1,X5,X3] :
( ( iext(X4,X1,X5)
& iext(X4,X5,X3) )
=> iext(X4,X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
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_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
? [X9] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X9)
& iext(uri_rdf_type,X9,uri_owl_Restriction)
& iext(uri_owl_onProperty,X9,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X9,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
? [X8] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X8)
& iext(uri_ex_hasAncestor,uri_ex_alice,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(owl_restrict_mincard_001,axiom,
! [X3,X4] :
( ( iext(uri_owl_minCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X3,X4) )
=> ! [X1] :
( icext(X3,X1)
<=> ? [X5] : iext(X4,X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
fof(owl_rdfsext_subclassof,axiom,
! [X6,X7] :
( iext(uri_rdfs_subClassOf,X6,X7)
<=> ( ic(X6)
& ic(X7)
& ! [X1] :
( icext(X6,X1)
=> icext(X7,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(c_0_6,plain,
! [X24,X25,X26,X27,X28] :
( ( ip(X24)
| ~ icext(uri_owl_TransitiveProperty,X24) )
& ( ~ iext(X24,X25,X26)
| ~ iext(X24,X26,X27)
| iext(X24,X25,X27)
| ~ icext(uri_owl_TransitiveProperty,X24) )
& ( iext(X28,esk3_1(X28),esk4_1(X28))
| ~ ip(X28)
| icext(uri_owl_TransitiveProperty,X28) )
& ( iext(X28,esk4_1(X28),esk5_1(X28))
| ~ ip(X28)
| icext(uri_owl_TransitiveProperty,X28) )
& ( ~ iext(X28,esk3_1(X28),esk5_1(X28))
| ~ ip(X28)
| icext(uri_owl_TransitiveProperty,X28) ) ),
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_transitive])])])])])]) ).
fof(c_0_7,plain,
! [X10,X11] :
( ( ~ iext(uri_rdf_type,X10,X11)
| icext(X11,X10) )
& ( ~ icext(X11,X10)
| iext(uri_rdf_type,X10,X11) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_8,plain,
( iext(X1,X2,X4)
| ~ iext(X1,X2,X3)
| ~ iext(X1,X3,X4)
| ~ icext(uri_owl_TransitiveProperty,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( icext(X2,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,esk6_0)
& iext(uri_rdf_type,esk6_0,uri_owl_Restriction)
& iext(uri_owl_onProperty,esk6_0,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,esk6_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties])]) ).
fof(c_0_11,negated_conjecture,
~ ? [X8] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X8)
& iext(uri_ex_hasAncestor,uri_ex_alice,X8) ),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties]) ).
cnf(c_0_12,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_type,X1,uri_owl_TransitiveProperty)
| ~ iext(X1,X4,X3)
| ~ iext(X1,X2,X4) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X12,X13,X14,X16,X17] :
( ( ~ icext(X12,X14)
| iext(X13,X14,esk1_3(X12,X13,X14))
| ~ iext(uri_owl_minCardinality,X12,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X12,X13) )
& ( ~ iext(X13,X16,X17)
| icext(X12,X16)
| ~ iext(uri_owl_minCardinality,X12,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X12,X13) ) ),
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_mincard_001])])])])])]) ).
fof(c_0_15,plain,
! [X18,X19,X20,X21,X22] :
( ( ic(X18)
| ~ iext(uri_rdfs_subClassOf,X18,X19) )
& ( ic(X19)
| ~ iext(uri_rdfs_subClassOf,X18,X19) )
& ( ~ icext(X18,X20)
| icext(X19,X20)
| ~ iext(uri_rdfs_subClassOf,X18,X19) )
& ( icext(X21,esk2_2(X21,X22))
| ~ ic(X21)
| ~ ic(X22)
| iext(uri_rdfs_subClassOf,X21,X22) )
& ( ~ icext(X22,esk2_2(X21,X22))
| ~ ic(X21)
| ~ ic(X22)
| iext(uri_rdfs_subClassOf,X21,X22) ) ),
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_rdfsext_subclassof])])])])])]) ).
fof(c_0_16,negated_conjecture,
! [X32] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X32)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
cnf(c_0_17,plain,
( iext(uri_ex_hasAncestor,X1,X2)
| ~ iext(uri_ex_hasAncestor,X3,X2)
| ~ iext(uri_ex_hasAncestor,X1,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( iext(X3,X2,esk1_3(X1,X3,X2))
| ~ icext(X1,X2)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X1)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( iext(uri_ex_hasAncestor,X1,esk1_3(X2,uri_ex_hasAncestor,X3))
| ~ icext(X2,X3)
| ~ iext(uri_owl_minCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X2,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,X1,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( icext(esk6_0,X1)
| ~ icext(uri_ex_Person,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( ~ icext(X1,X2)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,esk1_3(X1,uri_ex_hasAncestor,X2))
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,plain,
( icext(esk6_0,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_Person) ),
inference(spm,[status(thm)],[c_0_23,c_0_9]) ).
cnf(c_0_28,negated_conjecture,
( ~ icext(X1,uri_ex_bob)
| ~ iext(uri_owl_minCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_hasAncestor) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_18]),c_0_25])]) ).
cnf(c_0_29,plain,
iext(uri_owl_minCardinality,esk6_0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,plain,
iext(uri_owl_onProperty,esk6_0,uri_ex_hasAncestor),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
( iext(uri_rdf_type,X1,esk6_0)
| ~ iext(uri_rdf_type,X1,uri_ex_Person) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
~ icext(esk6_0,uri_ex_bob),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_34,plain,
iext(uri_rdf_type,uri_ex_bob,esk6_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_9]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 06:23:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.57 % Version : CSE_E---1.5
% 0.21/0.57 % Problem : theBenchmark.p
% 0.21/0.57 % Proof found
% 0.21/0.57 % SZS status Theorem for theBenchmark.p
% 0.21/0.57 % SZS output start Proof
% See solution above
% 0.21/0.58 % Total time : 0.010000 s
% 0.21/0.58 % SZS output end Proof
% 0.21/0.58 % Total time : 0.013000 s
%------------------------------------------------------------------------------