%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB026+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 : 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 : Tue May 5 05:17:12 PM UTC 2026
% Result : Theorem 1.11s 1.61s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 154 ( 15 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 167 ( 59 ~; 71 |; 29 &)
% ( 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 : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 61 ( 3 sgn 32 !; 4 ?)
% 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(testcase_premise_fullish_026_Inferred_Property_Characteristics_I,axiom,
? [X10,X11,X12,X13] :
( iext(uri_rdfs_domain,uri_ex_p,X10)
& iext(uri_owl_oneOf,X10,X12)
& iext(uri_rdf_first,X12,uri_ex_w)
& iext(uri_rdf_rest,X12,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,X11)
& iext(uri_owl_oneOf,X11,X13)
& iext(uri_rdf_first,X13,uri_ex_u)
& iext(uri_rdf_rest,X13,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(owl_char_inversefunctional,axiom,
! [X1] :
( icext(uri_owl_InverseFunctionalProperty,X1)
<=> ( ip(X1)
& ! [X8,X9,X4] :
( ( iext(X1,X8,X4)
& iext(X1,X9,X4) )
=> X8 = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
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(owl_enum_class_001,axiom,
! [X5,X6,X7] :
( ( iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X6,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X5,X6)
<=> ( ic(X5)
& ! [X2] :
( icext(X5,X2)
<=> X2 = X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(c_0_8,plain,
! [X36,X37,X38,X39] :
( ~ iext(uri_rdfs_domain,X36,X37)
| ~ iext(X36,X38,X39)
| icext(X37,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_domain_main])]) ).
cnf(c_0_9,plain,
( icext(X2,X3)
| ~ iext(uri_rdfs_domain,X1,X2)
| ~ iext(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_10,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(split_conjunct,[status(thm)],[rdfs_domain_domain]) ).
fof(c_0_11,plain,
( iext(uri_rdfs_domain,uri_ex_p,esk5_0)
& iext(uri_owl_oneOf,esk5_0,esk7_0)
& iext(uri_rdf_first,esk7_0,uri_ex_w)
& iext(uri_rdf_rest,esk7_0,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,esk6_0)
& iext(uri_owl_oneOf,esk6_0,esk8_0)
& iext(uri_rdf_first,esk8_0,uri_ex_u)
& iext(uri_rdf_rest,esk8_0,uri_rdf_nil) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_026_Inferred_Property_Characteristics_I])]) ).
fof(c_0_12,plain,
! [X46,X47,X48,X49,X50] :
( ( ip(X46)
| ~ icext(uri_owl_InverseFunctionalProperty,X46) )
& ( ~ iext(X46,X47,X49)
| ~ iext(X46,X48,X49)
| X47 = X48
| ~ icext(uri_owl_InverseFunctionalProperty,X46) )
& ( iext(X50,esk2_1(X50),esk4_1(X50))
| ~ ip(X50)
| icext(uri_owl_InverseFunctionalProperty,X50) )
& ( iext(X50,esk3_1(X50),esk4_1(X50))
| ~ ip(X50)
| icext(uri_owl_InverseFunctionalProperty,X50) )
& ( esk2_1(X50) != esk3_1(X50)
| ~ ip(X50)
| icext(uri_owl_InverseFunctionalProperty,X50) ) ),
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])])])])])]) ).
fof(c_0_13,plain,
! [X33] :
( ( ~ iext(uri_rdf_type,X33,uri_rdf_Property)
| ip(X33) )
& ( ~ ip(X33)
| iext(uri_rdf_type,X33,uri_rdf_Property) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdf_type_ip])]) ).
fof(c_0_14,plain,
! [X34,X35] :
( ( ~ iext(uri_rdf_type,X34,X35)
| icext(X35,X34) )
& ( ~ icext(X35,X34)
| iext(uri_rdf_type,X34,X35) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_15,plain,
( icext(uri_rdf_Property,X1)
| ~ iext(uri_rdfs_domain,X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,plain,
iext(uri_rdfs_domain,uri_ex_p,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X40,X41,X42,X43,X44] :
( ( ic(X40)
| ~ iext(uri_owl_oneOf,X40,X41)
| ~ iext(uri_rdf_first,X41,X42)
| ~ iext(uri_rdf_rest,X41,uri_rdf_nil) )
& ( ~ icext(X40,X43)
| X43 = X42
| ~ iext(uri_owl_oneOf,X40,X41)
| ~ iext(uri_rdf_first,X41,X42)
| ~ iext(uri_rdf_rest,X41,uri_rdf_nil) )
& ( X44 != X42
| icext(X40,X44)
| ~ iext(uri_owl_oneOf,X40,X41)
| ~ iext(uri_rdf_first,X41,X42)
| ~ iext(uri_rdf_rest,X41,uri_rdf_nil) )
& ( ~ icext(X40,esk1_3(X40,X41,X42))
| esk1_3(X40,X41,X42) != X42
| ~ ic(X40)
| iext(uri_owl_oneOf,X40,X41)
| ~ iext(uri_rdf_first,X41,X42)
| ~ iext(uri_rdf_rest,X41,uri_rdf_nil) )
& ( icext(X40,esk1_3(X40,X41,X42))
| esk1_3(X40,X41,X42) = X42
| ~ ic(X40)
| iext(uri_owl_oneOf,X40,X41)
| ~ iext(uri_rdf_first,X41,X42)
| ~ iext(uri_rdf_rest,X41,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])])])])])]) ).
cnf(c_0_18,plain,
( iext(X1,esk3_1(X1),esk4_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( ip(X1)
| ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,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_17]) ).
cnf(c_0_23,plain,
iext(uri_rdf_rest,esk7_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_24,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk3_1(X1),esk4_1(X1))
| ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( iext(X1,esk2_1(X1),esk4_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,plain,
( X1 = X2
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,esk7_0,X2)
| ~ iext(uri_owl_oneOf,X3,esk7_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
iext(uri_rdf_first,esk7_0,uri_ex_w),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,plain,
( icext(esk5_0,X1)
| ~ iext(uri_ex_p,X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_30,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,esk3_1(uri_ex_p),esk4_1(uri_ex_p)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,esk2_1(X1),esk4_1(X1))
| ~ iext(uri_rdf_type,X1,uri_rdf_Property) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_32,plain,
( X1 = uri_ex_w
| ~ icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,esk7_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( icext(esk5_0,esk3_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
iext(uri_owl_oneOf,esk5_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,esk2_1(uri_ex_p),esk4_1(uri_ex_p)) ),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_36,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| esk2_1(X1) != esk3_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,plain,
( esk3_1(uri_ex_p) = uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_38,plain,
( icext(esk5_0,esk2_1(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[c_0_29,c_0_35]) ).
cnf(c_0_39,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| esk2_1(uri_ex_p) != uri_ex_w
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
( esk2_1(uri_ex_p) = uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_38]),c_0_34])]) ).
cnf(c_0_41,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_42,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])]) ).
cnf(c_0_43,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_25])]) ).
cnf(c_0_44,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_45,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_43]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWB026+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.06 % 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
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Tue May 5 04:09:46 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.11/1.61 % Version : CSE_E---1.7
% 1.11/1.61 % Problem : theBenchmark.p
% 1.11/1.61 % SZS status Theorem for theBenchmark.p
% 1.11/1.61 % SZS output start CNFRefutation
% See solution above
% 1.11/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------