%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB026+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.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 05:17:11 PM UTC 2026
% Result : Theorem 34.67s 22.91s
% Output : CNFRefutation 34.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 16 unt; 0 def)
% Number of atoms : 142 ( 15 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 166 ( 61 ~; 64 |; 33 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 15 con; 0-3 aty)
% Number of variables : 59 ( 3 sgn 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
! [X11,X12,X21] :
( ( iext(uri_rdf_first,X12,X21)
& iext(uri_rdf_rest,X12,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X11,X12)
<=> ( ic(X11)
& ! [X4] :
( icext(X11,X4)
<=> X4 = X21 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).
fof(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
? [X42,X43,X44,X45] :
( iext(uri_rdfs_domain,uri_ex_p,X42)
& iext(uri_owl_oneOf,X42,X44)
& iext(uri_rdf_first,X44,uri_ex_w)
& iext(uri_rdf_rest,X44,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,X43)
& iext(uri_owl_oneOf,X43,X45)
& iext(uri_rdf_first,X45,uri_ex_u)
& iext(uri_rdf_rest,X45,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(owl_rdfsext_domain,axiom,
! [X2,X5] :
( iext(uri_rdfs_domain,X2,X5)
<=> ( ip(X2)
& ic(X5)
& ! [X4,X7] :
( iext(X2,X4,X7)
=> icext(X5,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_domain) ).
fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(rdfs_cext_def,axiom,
! [X4,X5] :
( iext(uri_rdf_type,X4,X5)
<=> icext(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
fof(owl_char_inversefunctional,axiom,
! [X2] :
( icext(uri_owl_InverseFunctionalProperty,X2)
<=> ( ip(X2)
& ! [X37,X38,X7] :
( ( iext(X2,X37,X7)
& iext(X2,X38,X7) )
=> X37 = X38 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).
fof(c_0_6,plain,
! [X1330,X1331,X1332,X1333,X1334] :
( ( ic(X1330)
| ~ iext(uri_owl_oneOf,X1330,X1331)
| ~ iext(uri_rdf_first,X1331,X1332)
| ~ iext(uri_rdf_rest,X1331,uri_rdf_nil) )
& ( ~ icext(X1330,X1333)
| X1333 = X1332
| ~ iext(uri_owl_oneOf,X1330,X1331)
| ~ iext(uri_rdf_first,X1331,X1332)
| ~ iext(uri_rdf_rest,X1331,uri_rdf_nil) )
& ( X1334 != X1332
| icext(X1330,X1334)
| ~ iext(uri_owl_oneOf,X1330,X1331)
| ~ iext(uri_rdf_first,X1331,X1332)
| ~ iext(uri_rdf_rest,X1331,uri_rdf_nil) )
& ( ~ icext(X1330,esk11_3(X1330,X1331,X1332))
| esk11_3(X1330,X1331,X1332) != X1332
| ~ ic(X1330)
| iext(uri_owl_oneOf,X1330,X1331)
| ~ iext(uri_rdf_first,X1331,X1332)
| ~ iext(uri_rdf_rest,X1331,uri_rdf_nil) )
& ( icext(X1330,esk11_3(X1330,X1331,X1332))
| esk11_3(X1330,X1331,X1332) = X1332
| ~ ic(X1330)
| iext(uri_owl_oneOf,X1330,X1331)
| ~ iext(uri_rdf_first,X1331,X1332)
| ~ iext(uri_rdf_rest,X1331,uri_rdf_nil) ) ),
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_enum_class_001])])])])])]) ).
fof(c_0_7,plain,
( iext(uri_rdfs_domain,uri_ex_p,esk192_0)
& iext(uri_owl_oneOf,esk192_0,esk194_0)
& iext(uri_rdf_first,esk194_0,uri_ex_w)
& iext(uri_rdf_rest,esk194_0,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,esk193_0)
& iext(uri_owl_oneOf,esk193_0,esk195_0)
& iext(uri_rdf_first,esk195_0,uri_ex_u)
& iext(uri_rdf_rest,esk195_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I])]) ).
fof(c_0_8,plain,
! [X1732,X1733,X1734,X1735,X1736,X1737] :
( ( ip(X1732)
| ~ iext(uri_rdfs_domain,X1732,X1733) )
& ( ic(X1733)
| ~ iext(uri_rdfs_domain,X1732,X1733) )
& ( ~ iext(X1732,X1734,X1735)
| icext(X1733,X1734)
| ~ iext(uri_rdfs_domain,X1732,X1733) )
& ( iext(X1736,esk105_2(X1736,X1737),esk106_2(X1736,X1737))
| ~ ip(X1736)
| ~ ic(X1737)
| iext(uri_rdfs_domain,X1736,X1737) )
& ( ~ icext(X1737,esk105_2(X1736,X1737))
| ~ ip(X1736)
| ~ ic(X1737)
| iext(uri_rdfs_domain,X1736,X1737) ) ),
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_domain])])])])])]) ).
fof(c_0_9,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_026_Inferred_Property_Characteristics_I])]) ).
fof(c_0_10,plain,
! [X1029,X1030] :
( ( ~ iext(uri_rdf_type,X1029,X1030)
| icext(X1030,X1029) )
& ( ~ icext(X1030,X1029)
| iext(uri_rdf_type,X1029,X1030) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_11,plain,
( X2 = X3
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,X4)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
iext(uri_rdf_rest,esk194_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
! [X2019,X2020,X2021,X2022,X2023] :
( ( ip(X2019)
| ~ icext(uri_owl_InverseFunctionalProperty,X2019) )
& ( ~ iext(X2019,X2020,X2022)
| ~ iext(X2019,X2021,X2022)
| X2020 = X2021
| ~ icext(uri_owl_InverseFunctionalProperty,X2019) )
& ( iext(X2023,esk166_1(X2023),esk168_1(X2023))
| ~ ip(X2023)
| icext(uri_owl_InverseFunctionalProperty,X2023) )
& ( iext(X2023,esk167_1(X2023),esk168_1(X2023))
| ~ ip(X2023)
| icext(uri_owl_InverseFunctionalProperty,X2023) )
& ( esk166_1(X2023) != esk167_1(X2023)
| ~ ip(X2023)
| icext(uri_owl_InverseFunctionalProperty,X2023) ) ),
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_14,plain,
( ip(X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
iext(uri_rdfs_domain,uri_ex_p,esk192_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk194_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk194_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,plain,
iext(uri_rdf_first,esk194_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,plain,
( icext(X4,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdfs_domain,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( iext(X1,esk167_1(X1),esk168_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( X1 = uri_ex_w
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk194_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
iext(uri_owl_oneOf,esk192_0,esk194_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_26,plain,
( icext(esk192_0,X1)
| ~ iext(uri_ex_p,X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_27,plain,
iext(uri_ex_p,esk167_1(uri_ex_p),esk168_1(uri_ex_p)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
( iext(X1,esk166_1(X1),esk168_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_29,plain,
( X1 = uri_ex_w
| ~ icext(esk192_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
icext(esk192_0,esk167_1(uri_ex_p)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
iext(uri_ex_p,esk166_1(uri_ex_p),esk168_1(uri_ex_p)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_23]) ).
cnf(c_0_32,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| esk166_1(X1) != esk167_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,plain,
esk167_1(uri_ex_p) = uri_ex_w,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
icext(esk192_0,esk166_1(uri_ex_p)),
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_35,plain,
esk166_1(uri_ex_p) != uri_ex_w,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22])]),c_0_23]) ).
cnf(c_0_36,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWB026+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n002.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 04:10:01 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 34.67/22.91 % Version : CSE_E---1.7
% 34.67/22.91 % Problem : theBenchmark.p
% 34.67/22.91 % SZS status Theorem for theBenchmark.p
% 34.67/22.91 % SZS output start CNFRefutation
% See solution above
% 34.67/22.99 % Total time : 19.514s
%------------------------------------------------------------------------------