TSTP Solution File: SWB016+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 20:01:57 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 26
% Syntax : Number of formulae : 62 ( 16 unt; 15 typ; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 171 ( 65 ~; 72 |; 24 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 8 >; 7 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 74 ( 4 sgn; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
uri_rdf_type: $i ).
tff(decl_23,type,
uri_rdf_Property: $i ).
tff(decl_24,type,
iext: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
ip: $i > $o ).
tff(decl_26,type,
icext: ( $i * $i ) > $o ).
tff(decl_27,type,
uri_rdfs_domain: $i ).
tff(decl_28,type,
uri_rdfs_subClassOf: $i ).
tff(decl_29,type,
uri_rdfs_Class: $i ).
tff(decl_30,type,
uri_owl_equivalentClass: $i ).
tff(decl_31,type,
ic: $i > $o ).
tff(decl_32,type,
uri_rdfs_subPropertyOf: $i ).
tff(decl_33,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_34,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk4_2: ( $i * $i ) > $i ).
fof(rdfs_domain_main,axiom,
! [X1,X3,X2,X4] :
( ( iext(uri_rdfs_domain,X1,X3)
& iext(X1,X2,X4) )
=> icext(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(rdf_type_ip,axiom,
! [X1] :
( iext(uri_rdf_type,X1,uri_rdf_Property)
<=> ip(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
fof(rdfs_cext_def,axiom,
! [X2,X3] :
( iext(uri_rdf_type,X2,X3)
<=> icext(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_domain_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
fof(rdfs_subclassof_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
fof(owl_rdfsext_subpropertyof,axiom,
! [X7,X8] :
( iext(uri_rdfs_subPropertyOf,X7,X8)
<=> ( ip(X7)
& ip(X8)
& ! [X2,X4] :
( iext(X7,X2,X4)
=> iext(X8,X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
fof(owl_prop_equivalentclass_ext,axiom,
! [X2,X4] :
( iext(uri_owl_equivalentClass,X2,X4)
=> ( ic(X2)
& ic(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(owl_prop_equivalentclass_type,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
fof(owl_eqdis_equivalentclass,axiom,
! [X5,X6] :
( iext(uri_owl_equivalentClass,X5,X6)
<=> ( ic(X5)
& ic(X6)
& ! [X2] :
( icext(X5,X2)
<=> icext(X6,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(owl_rdfsext_subclassof,axiom,
! [X5,X6] :
( iext(uri_rdfs_subClassOf,X5,X6)
<=> ( ic(X5)
& ic(X6)
& ! [X2] :
( icext(X5,X2)
=> icext(X6,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(c_0_11,plain,
! [X12,X13,X14,X15] :
( ~ iext(uri_rdfs_domain,X12,X13)
| ~ iext(X12,X14,X15)
| icext(X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_domain_main])]) ).
fof(c_0_12,plain,
! [X9] :
( ( ~ iext(uri_rdf_type,X9,uri_rdf_Property)
| ip(X9) )
& ( ~ ip(X9)
| iext(uri_rdf_type,X9,uri_rdf_Property) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdf_type_ip])]) ).
fof(c_0_13,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_14,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_domain,X1,X2)
| ~ iext(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(split_conjunct,[status(thm)],[rdfs_domain_domain]) ).
cnf(c_0_16,plain,
( ip(X1)
| ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( icext(uri_rdf_Property,X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(split_conjunct,[status(thm)],[rdfs_subclassof_domain]) ).
fof(c_0_20,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( ip(X24)
| ~ iext(uri_rdfs_subPropertyOf,X24,X25) )
& ( ip(X25)
| ~ iext(uri_rdfs_subPropertyOf,X24,X25) )
& ( ~ iext(X24,X26,X27)
| iext(X25,X26,X27)
| ~ iext(uri_rdfs_subPropertyOf,X24,X25) )
& ( iext(X28,esk2_2(X28,X29),esk3_2(X28,X29))
| ~ ip(X28)
| ~ ip(X29)
| iext(uri_rdfs_subPropertyOf,X28,X29) )
& ( ~ iext(X29,esk2_2(X28,X29),esk3_2(X28,X29))
| ~ ip(X28)
| ~ ip(X29)
| iext(uri_rdfs_subPropertyOf,X28,X29) ) ),
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_subpropertyof])])])])])]) ).
cnf(c_0_21,plain,
( ip(X1)
| ~ icext(uri_rdf_Property,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
icext(uri_rdf_Property,uri_rdfs_subClassOf),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( iext(X1,esk2_2(X1,X2),esk3_2(X1,X2))
| iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ ip(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
ip(uri_rdfs_subClassOf),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_25,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_016_Reflective_Tautologies_II])]) ).
fof(c_0_26,plain,
! [X16,X17] :
( ( ic(X16)
| ~ iext(uri_owl_equivalentClass,X16,X17) )
& ( ic(X17)
| ~ iext(uri_owl_equivalentClass,X16,X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).
cnf(c_0_27,plain,
( iext(X1,esk2_2(X1,uri_rdfs_subClassOf),esk3_2(X1,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,X1,uri_rdfs_subClassOf)
| ~ ip(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
ip(uri_owl_equivalentClass),
inference(split_conjunct,[status(thm)],[owl_prop_equivalentclass_type]) ).
cnf(c_0_29,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_30,plain,
! [X32,X33,X34,X35,X36,X37] :
( ( ic(X32)
| ~ iext(uri_owl_equivalentClass,X32,X33) )
& ( ic(X33)
| ~ iext(uri_owl_equivalentClass,X32,X33) )
& ( ~ icext(X32,X34)
| icext(X33,X34)
| ~ iext(uri_owl_equivalentClass,X32,X33) )
& ( ~ icext(X33,X35)
| icext(X32,X35)
| ~ iext(uri_owl_equivalentClass,X32,X33) )
& ( ~ icext(X36,esk4_2(X36,X37))
| ~ icext(X37,esk4_2(X36,X37))
| ~ ic(X36)
| ~ ic(X37)
| iext(uri_owl_equivalentClass,X36,X37) )
& ( icext(X36,esk4_2(X36,X37))
| icext(X37,esk4_2(X36,X37))
| ~ ic(X36)
| ~ ic(X37)
| iext(uri_owl_equivalentClass,X36,X37) ) ),
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_eqdis_equivalentclass])])])])])]) ).
fof(c_0_31,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,esk1_2(X21,X22))
| ~ ic(X21)
| ~ ic(X22)
| iext(uri_rdfs_subClassOf,X21,X22) )
& ( ~ icext(X22,esk1_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])])])])])]) ).
cnf(c_0_32,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
iext(uri_owl_equivalentClass,esk2_2(uri_owl_equivalentClass,uri_rdfs_subClassOf),esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_34,plain,
( icext(X3,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( icext(X1,esk1_2(X1,X2))
| iext(uri_rdfs_subClassOf,X1,X2)
| ~ ic(X1)
| ~ ic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
ic(esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( iext(uri_rdfs_subClassOf,X2,X1)
| ~ icext(X1,esk1_2(X2,X1))
| ~ ic(X2)
| ~ ic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( icext(esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf),X1)
| ~ icext(esk2_2(uri_owl_equivalentClass,uri_rdfs_subClassOf),X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_40,plain,
( icext(X1,esk1_2(X1,esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subClassOf,X1,esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,plain,
ic(esk2_2(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
cnf(c_0_42,plain,
( iext(uri_rdfs_subClassOf,X1,esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(X1)
| ~ icext(esk2_2(uri_owl_equivalentClass,uri_rdfs_subClassOf),esk1_2(X1,esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36])]) ).
cnf(c_0_43,plain,
( icext(esk2_2(uri_owl_equivalentClass,uri_rdfs_subClassOf),esk1_2(esk2_2(uri_owl_equivalentClass,uri_rdfs_subClassOf),esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| iext(uri_rdfs_subClassOf,esk2_2(uri_owl_equivalentClass,uri_rdfs_subClassOf),esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
( iext(uri_rdfs_subPropertyOf,X2,X1)
| ~ iext(X1,esk2_2(X2,X1),esk3_2(X2,X1))
| ~ ip(X2)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,plain,
iext(uri_rdfs_subClassOf,esk2_2(uri_owl_equivalentClass,uri_rdfs_subClassOf),esk3_2(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_41])]) ).
cnf(c_0_46,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28]),c_0_24])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 06:31:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.014000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.017000 s
%------------------------------------------------------------------------------