%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB016+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.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 : Tue May 5 05:16:51 PM UTC 2026
% Result : Theorem 1.27s 1.73s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 175 ( 67 ~; 74 |; 24 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 75 ( 4 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(rdfs_domain_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_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/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(rdf_type_ip,axiom,
! [X1] :
( iext(uri_rdf_type,X1,uri_rdf_Property)
<=> ip(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_subclassof_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(owl_prop_equivalentclass_type,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(c_0_11,plain,
! [X31,X32,X33,X34] :
( ~ iext(uri_rdfs_domain,X31,X32)
| ~ iext(X31,X33,X34)
| icext(X32,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_domain_main])]) ).
cnf(c_0_12,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_13,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(split_conjunct,[status(thm)],[rdfs_domain_domain]) ).
fof(c_0_14,plain,
! [X43,X44,X45,X46,X47,X48] :
( ( ip(X43)
| ~ iext(uri_rdfs_subPropertyOf,X43,X44) )
& ( ip(X44)
| ~ iext(uri_rdfs_subPropertyOf,X43,X44) )
& ( ~ iext(X43,X45,X46)
| iext(X44,X45,X46)
| ~ iext(uri_rdfs_subPropertyOf,X43,X44) )
& ( iext(X47,esk2_2(X47,X48),esk3_2(X47,X48))
| ~ ip(X47)
| ~ ip(X48)
| iext(uri_rdfs_subPropertyOf,X47,X48) )
& ( ~ iext(X48,esk2_2(X47,X48),esk3_2(X47,X48))
| ~ ip(X47)
| ~ ip(X48)
| iext(uri_rdfs_subPropertyOf,X47,X48) ) ),
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])])])])])]) ).
fof(c_0_15,plain,
! [X28] :
( ( ~ iext(uri_rdf_type,X28,uri_rdf_Property)
| ip(X28) )
& ( ~ ip(X28)
| iext(uri_rdf_type,X28,uri_rdf_Property) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdf_type_ip])]) ).
fof(c_0_16,plain,
! [X29,X30] :
( ( ~ iext(uri_rdf_type,X29,X30)
| icext(X30,X29) )
& ( ~ icext(X30,X29)
| iext(uri_rdf_type,X29,X30) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_17,plain,
( icext(uri_rdf_Property,X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(split_conjunct,[status(thm)],[rdfs_subclassof_domain]) ).
cnf(c_0_19,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_14]) ).
cnf(c_0_20,plain,
( ip(X1)
| ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
icext(uri_rdf_Property,uri_rdfs_subClassOf),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( iext(X1,esk2_2(X1,X2),esk3_2(X1,X2))
| iext(uri_rdfs_subPropertyOf,X1,X2)
| ~ ip(X1)
| ~ iext(uri_rdf_type,X2,uri_rdf_Property) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property),
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,
! [X35,X36] :
( ( ic(X35)
| ~ iext(uri_owl_equivalentClass,X35,X36) )
& ( ic(X36)
| ~ iext(uri_owl_equivalentClass,X35,X36) ) ),
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,
! [X51,X52,X53,X54,X55,X56] :
( ( ic(X51)
| ~ iext(uri_owl_equivalentClass,X51,X52) )
& ( ic(X52)
| ~ iext(uri_owl_equivalentClass,X51,X52) )
& ( ~ icext(X51,X53)
| icext(X52,X53)
| ~ iext(uri_owl_equivalentClass,X51,X52) )
& ( ~ icext(X52,X54)
| icext(X51,X54)
| ~ iext(uri_owl_equivalentClass,X51,X52) )
& ( ~ icext(X55,esk4_2(X55,X56))
| ~ icext(X56,esk4_2(X55,X56))
| ~ ic(X55)
| ~ ic(X56)
| iext(uri_owl_equivalentClass,X55,X56) )
& ( icext(X55,esk4_2(X55,X56))
| icext(X56,esk4_2(X55,X56))
| ~ ic(X55)
| ~ ic(X56)
| iext(uri_owl_equivalentClass,X55,X56) ) ),
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,
! [X37,X38,X39,X40,X41] :
( ( ic(X37)
| ~ iext(uri_rdfs_subClassOf,X37,X38) )
& ( ic(X38)
| ~ iext(uri_rdfs_subClassOf,X37,X38) )
& ( ~ icext(X37,X39)
| icext(X38,X39)
| ~ iext(uri_rdfs_subClassOf,X37,X38) )
& ( icext(X40,esk1_2(X40,X41))
| ~ ic(X40)
| ~ ic(X41)
| iext(uri_rdfs_subClassOf,X40,X41) )
& ( ~ icext(X41,esk1_2(X40,X41))
| ~ ic(X40)
| ~ ic(X41)
| iext(uri_rdfs_subClassOf,X40,X41) ) ),
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_14]) ).
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,
~ ip(uri_rdfs_subClassOf),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28])]),c_0_29]) ).
cnf(c_0_47,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_20]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB016+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:08:20 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.27/1.73 % Version : CSE_E---1.7
% 1.27/1.73 % Problem : theBenchmark.p
% 1.27/1.73 % SZS status Theorem for theBenchmark.p
% 1.27/1.73 % SZS output start CNFRefutation
% See solution above
% 1.27/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------