TSTP Solution File: SWB027+2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB027+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 : n012.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 20:02:06 EDT 2023
% Result : Theorem 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 30
% Syntax : Number of formulae : 67 ( 17 unt; 23 typ; 0 def)
% Number of atoms : 205 ( 9 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 271 ( 110 ~; 114 |; 38 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 11 >; 17 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-5 aty)
% Number of variables : 97 ( 1 sgn; 45 !; 3 ?; 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_rdf_first: $i ).
tff(decl_27,type,
uri_rdf_rest: $i ).
tff(decl_28,type,
uri_rdf_nil: $i ).
tff(decl_29,type,
uri_owl_propertyChainAxiom: $i ).
tff(decl_30,type,
ip: $i > $o ).
tff(decl_31,type,
uri_owl_InverseFunctionalProperty: $i ).
tff(decl_32,type,
uri_owl_inverseOf: $i ).
tff(decl_33,type,
uri_ex_p: $i ).
tff(decl_34,type,
esk1_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk2_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk3_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk4_1: $i > $i ).
tff(decl_38,type,
esk5_1: $i > $i ).
tff(decl_39,type,
esk6_1: $i > $i ).
tff(decl_40,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk9_0: $i ).
tff(decl_43,type,
esk10_0: $i ).
tff(decl_44,type,
esk11_0: $i ).
fof(owl_chain_002,axiom,
! [X4,X5,X6,X7,X8] :
( ( iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,X7)
& iext(uri_rdf_first,X7,X8)
& iext(uri_rdf_rest,X7,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X4,X5)
<=> ( ip(X4)
& ip(X6)
& ip(X8)
& ! [X9,X10,X11] :
( ( iext(X6,X9,X10)
& iext(X8,X10,X11) )
=> iext(X4,X9,X11) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(testcase_premise_fullish_027_Inferred_Property_Characteristics_II,axiom,
? [X14,X15,X16] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X14)
& iext(uri_rdf_first,X14,uri_ex_p)
& iext(uri_rdf_rest,X14,X15)
& iext(uri_rdf_first,X15,X16)
& iext(uri_rdf_rest,X15,uri_rdf_nil)
& iext(uri_owl_inverseOf,X16,uri_ex_p) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(owl_inv,axiom,
! [X6,X8] :
( iext(uri_owl_inverseOf,X6,X8)
<=> ( ip(X6)
& ip(X8)
& ! [X1,X3] :
( iext(X6,X1,X3)
<=> iext(X8,X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
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(owl_char_inversefunctional,axiom,
! [X4] :
( icext(uri_owl_InverseFunctionalProperty,X4)
<=> ( ip(X4)
& ! [X12,X13,X3] :
( ( iext(X4,X12,X3)
& iext(X4,X13,X3) )
=> X12 = X13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
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(c_0_7,plain,
! [X21,X22,X23,X24,X25,X26,X27,X28] :
( ( ip(X21)
| ~ iext(uri_owl_propertyChainAxiom,X21,X22)
| ~ iext(uri_rdf_first,X22,X23)
| ~ iext(uri_rdf_rest,X22,X24)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_rdf_rest,X24,uri_rdf_nil) )
& ( ip(X23)
| ~ iext(uri_owl_propertyChainAxiom,X21,X22)
| ~ iext(uri_rdf_first,X22,X23)
| ~ iext(uri_rdf_rest,X22,X24)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_rdf_rest,X24,uri_rdf_nil) )
& ( ip(X25)
| ~ iext(uri_owl_propertyChainAxiom,X21,X22)
| ~ iext(uri_rdf_first,X22,X23)
| ~ iext(uri_rdf_rest,X22,X24)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_rdf_rest,X24,uri_rdf_nil) )
& ( ~ iext(X23,X26,X27)
| ~ iext(X25,X27,X28)
| iext(X21,X26,X28)
| ~ iext(uri_owl_propertyChainAxiom,X21,X22)
| ~ iext(uri_rdf_first,X22,X23)
| ~ iext(uri_rdf_rest,X22,X24)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_rdf_rest,X24,uri_rdf_nil) )
& ( iext(X23,esk1_5(X21,X22,X23,X24,X25),esk2_5(X21,X22,X23,X24,X25))
| ~ ip(X21)
| ~ ip(X23)
| ~ ip(X25)
| iext(uri_owl_propertyChainAxiom,X21,X22)
| ~ iext(uri_rdf_first,X22,X23)
| ~ iext(uri_rdf_rest,X22,X24)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_rdf_rest,X24,uri_rdf_nil) )
& ( iext(X25,esk2_5(X21,X22,X23,X24,X25),esk3_5(X21,X22,X23,X24,X25))
| ~ ip(X21)
| ~ ip(X23)
| ~ ip(X25)
| iext(uri_owl_propertyChainAxiom,X21,X22)
| ~ iext(uri_rdf_first,X22,X23)
| ~ iext(uri_rdf_rest,X22,X24)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_rdf_rest,X24,uri_rdf_nil) )
& ( ~ iext(X21,esk1_5(X21,X22,X23,X24,X25),esk3_5(X21,X22,X23,X24,X25))
| ~ ip(X21)
| ~ ip(X23)
| ~ ip(X25)
| iext(uri_owl_propertyChainAxiom,X21,X22)
| ~ iext(uri_rdf_first,X22,X23)
| ~ iext(uri_rdf_rest,X22,X24)
| ~ iext(uri_rdf_first,X24,X25)
| ~ iext(uri_rdf_rest,X24,uri_rdf_nil) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_chain_002])])])])]) ).
fof(c_0_8,plain,
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0)
& iext(uri_rdf_first,esk9_0,uri_ex_p)
& iext(uri_rdf_rest,esk9_0,esk10_0)
& iext(uri_rdf_first,esk10_0,esk11_0)
& iext(uri_rdf_rest,esk10_0,uri_rdf_nil)
& iext(uri_owl_inverseOf,esk11_0,uri_ex_p) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_027_Inferred_Property_Characteristics_II])]) ).
cnf(c_0_9,plain,
( iext(X6,X2,X5)
| ~ iext(X1,X2,X3)
| ~ iext(X4,X3,X5)
| ~ iext(uri_owl_propertyChainAxiom,X6,X7)
| ~ iext(uri_rdf_first,X7,X1)
| ~ iext(uri_rdf_rest,X7,X8)
| ~ iext(uri_rdf_first,X8,X4)
| ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
iext(uri_rdf_rest,esk10_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_first,esk10_0,X4)
| ~ iext(uri_rdf_rest,X5,esk10_0)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_owl_propertyChainAxiom,X1,X5)
| ~ iext(X4,X7,X3)
| ~ iext(X6,X2,X7) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
iext(uri_rdf_first,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X40,X41,X42,X43,X44,X45,X46,X47] :
( ( ip(X40)
| ~ iext(uri_owl_inverseOf,X40,X41) )
& ( ip(X41)
| ~ iext(uri_owl_inverseOf,X40,X41) )
& ( ~ iext(X40,X42,X43)
| iext(X41,X43,X42)
| ~ iext(uri_owl_inverseOf,X40,X41) )
& ( ~ iext(X41,X45,X44)
| iext(X40,X44,X45)
| ~ iext(uri_owl_inverseOf,X40,X41) )
& ( ~ iext(X46,esk7_2(X46,X47),esk8_2(X46,X47))
| ~ iext(X47,esk8_2(X46,X47),esk7_2(X46,X47))
| ~ ip(X46)
| ~ ip(X47)
| iext(uri_owl_inverseOf,X46,X47) )
& ( iext(X46,esk7_2(X46,X47),esk8_2(X46,X47))
| iext(X47,esk8_2(X46,X47),esk7_2(X46,X47))
| ~ ip(X46)
| ~ ip(X47)
| iext(uri_owl_inverseOf,X46,X47) ) ),
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_inv])])])])])]) ).
fof(c_0_14,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II])]) ).
fof(c_0_15,plain,
! [X17,X18] :
( ( ~ iext(uri_rdf_type,X17,X18)
| icext(X18,X17) )
& ( ~ icext(X18,X17)
| iext(uri_rdf_type,X17,X18) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_16,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_rest,X4,esk10_0)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_owl_propertyChainAxiom,X1,X4)
| ~ iext(esk11_0,X6,X3)
| ~ iext(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
iext(uri_rdf_rest,esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_18,plain,
! [X32,X33,X34,X35,X36] :
( ( ip(X32)
| ~ icext(uri_owl_InverseFunctionalProperty,X32) )
& ( ~ iext(X32,X33,X35)
| ~ iext(X32,X34,X35)
| X33 = X34
| ~ icext(uri_owl_InverseFunctionalProperty,X32) )
& ( iext(X36,esk4_1(X36),esk6_1(X36))
| ~ ip(X36)
| icext(uri_owl_InverseFunctionalProperty,X36) )
& ( iext(X36,esk5_1(X36),esk6_1(X36))
| ~ ip(X36)
| icext(uri_owl_InverseFunctionalProperty,X36) )
& ( esk4_1(X36) != esk5_1(X36)
| ~ ip(X36)
| icext(uri_owl_InverseFunctionalProperty,X36) ) ),
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_19,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
iext(uri_owl_inverseOf,esk11_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( iext(X1,X2,X3)
| ~ iext(uri_rdf_first,esk9_0,X4)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk9_0)
| ~ iext(esk11_0,X5,X3)
| ~ iext(X4,X2,X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
iext(uri_rdf_first,esk9_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,plain,
( iext(X1,esk5_1(X1),esk6_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( iext(X1,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk9_0)
| ~ iext(esk11_0,X4,X3)
| ~ iext(uri_ex_p,X2,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,plain,
( iext(esk11_0,X1,X2)
| ~ iext(uri_ex_p,X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_32,plain,
iext(uri_ex_p,esk5_1(uri_ex_p),esk6_1(uri_ex_p)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_33,plain,
( iext(uri_owl_sameAs,X1,X2)
| ~ iext(esk11_0,X3,X2)
| ~ iext(uri_ex_p,X1,X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
iext(esk11_0,esk6_1(uri_ex_p),esk5_1(uri_ex_p)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
( iext(X1,esk4_1(X1),esk6_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_36,plain,
! [X19,X20] :
( ( ~ iext(uri_owl_sameAs,X19,X20)
| X19 = X20 )
& ( X19 != X20
| iext(uri_owl_sameAs,X19,X20) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).
cnf(c_0_37,plain,
( iext(uri_owl_sameAs,X1,esk5_1(uri_ex_p))
| ~ iext(uri_ex_p,X1,esk6_1(uri_ex_p)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
iext(uri_ex_p,esk4_1(uri_ex_p),esk6_1(uri_ex_p)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_28]) ).
cnf(c_0_39,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| esk4_1(X1) != esk5_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_40,plain,
( X1 = X2
| ~ iext(uri_owl_sameAs,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
iext(uri_owl_sameAs,esk4_1(uri_ex_p),esk5_1(uri_ex_p)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
esk5_1(uri_ex_p) != esk4_1(uri_ex_p),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_28]) ).
cnf(c_0_43,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 07:29:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.57 % Version : CSE_E---1.5
% 0.20/0.57 % Problem : theBenchmark.p
% 0.20/0.57 % Proof found
% 0.20/0.57 % SZS status Theorem for theBenchmark.p
% 0.20/0.57 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.015000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.018000 s
%------------------------------------------------------------------------------