%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWB027+2 : 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 : n008.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 05:17:13 PM UTC 2026
% Result : Theorem 1.40s 1.74s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 202 ( 9 equ)
% Maximal formula atoms : 53 ( 5 avg)
% Number of connectives : 263 ( 101 ~; 115 |; 38 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 82 ( 1 sgn 45 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/theBenchmark.p',owl_inv) ).
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/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
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/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(owl_eqdis_sameas,axiom,
! [X1,X3] :
( iext(uri_owl_sameAs,X1,X3)
<=> X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(rdfs_cext_def,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
fof(c_0_7,plain,
! [X63,X64,X65,X66,X67,X68,X69,X70] :
( ( ip(X63)
| ~ iext(uri_owl_inverseOf,X63,X64) )
& ( ip(X64)
| ~ iext(uri_owl_inverseOf,X63,X64) )
& ( ~ iext(X63,X65,X66)
| iext(X64,X66,X65)
| ~ iext(uri_owl_inverseOf,X63,X64) )
& ( ~ iext(X64,X68,X67)
| iext(X63,X67,X68)
| ~ iext(uri_owl_inverseOf,X63,X64) )
& ( ~ iext(X69,esk7_2(X69,X70),esk8_2(X69,X70))
| ~ iext(X70,esk8_2(X69,X70),esk7_2(X69,X70))
| ~ ip(X69)
| ~ ip(X70)
| iext(uri_owl_inverseOf,X69,X70) )
& ( iext(X69,esk7_2(X69,X70),esk8_2(X69,X70))
| iext(X70,esk8_2(X69,X70),esk7_2(X69,X70))
| ~ ip(X69)
| ~ ip(X70)
| iext(uri_owl_inverseOf,X69,X70) ) ),
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_8,plain,
! [X55,X56,X57,X58,X59] :
( ( ip(X55)
| ~ icext(uri_owl_InverseFunctionalProperty,X55) )
& ( ~ iext(X55,X56,X58)
| ~ iext(X55,X57,X58)
| X56 = X57
| ~ icext(uri_owl_InverseFunctionalProperty,X55) )
& ( iext(X59,esk4_1(X59),esk6_1(X59))
| ~ ip(X59)
| icext(uri_owl_InverseFunctionalProperty,X59) )
& ( iext(X59,esk5_1(X59),esk6_1(X59))
| ~ ip(X59)
| icext(uri_owl_InverseFunctionalProperty,X59) )
& ( esk4_1(X59) != esk5_1(X59)
| ~ ip(X59)
| icext(uri_owl_InverseFunctionalProperty,X59) ) ),
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_9,plain,
( iext(X4,X3,X2)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_inverseOf,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( iext(X1,esk4_1(X1),esk6_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( ip(X1)
| ~ iext(uri_owl_inverseOf,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,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])]) ).
fof(c_0_13,plain,
! [X44,X45,X46,X47,X48,X49,X50,X51] :
( ( ip(X44)
| ~ iext(uri_owl_propertyChainAxiom,X44,X45)
| ~ iext(uri_rdf_first,X45,X46)
| ~ iext(uri_rdf_rest,X45,X47)
| ~ iext(uri_rdf_first,X47,X48)
| ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
& ( ip(X46)
| ~ iext(uri_owl_propertyChainAxiom,X44,X45)
| ~ iext(uri_rdf_first,X45,X46)
| ~ iext(uri_rdf_rest,X45,X47)
| ~ iext(uri_rdf_first,X47,X48)
| ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
& ( ip(X48)
| ~ iext(uri_owl_propertyChainAxiom,X44,X45)
| ~ iext(uri_rdf_first,X45,X46)
| ~ iext(uri_rdf_rest,X45,X47)
| ~ iext(uri_rdf_first,X47,X48)
| ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
& ( ~ iext(X46,X49,X50)
| ~ iext(X48,X50,X51)
| iext(X44,X49,X51)
| ~ iext(uri_owl_propertyChainAxiom,X44,X45)
| ~ iext(uri_rdf_first,X45,X46)
| ~ iext(uri_rdf_rest,X45,X47)
| ~ iext(uri_rdf_first,X47,X48)
| ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
& ( iext(X46,esk1_5(X44,X45,X46,X47,X48),esk2_5(X44,X45,X46,X47,X48))
| ~ ip(X44)
| ~ ip(X46)
| ~ ip(X48)
| iext(uri_owl_propertyChainAxiom,X44,X45)
| ~ iext(uri_rdf_first,X45,X46)
| ~ iext(uri_rdf_rest,X45,X47)
| ~ iext(uri_rdf_first,X47,X48)
| ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
& ( iext(X48,esk2_5(X44,X45,X46,X47,X48),esk3_5(X44,X45,X46,X47,X48))
| ~ ip(X44)
| ~ ip(X46)
| ~ ip(X48)
| iext(uri_owl_propertyChainAxiom,X44,X45)
| ~ iext(uri_rdf_first,X45,X46)
| ~ iext(uri_rdf_rest,X45,X47)
| ~ iext(uri_rdf_first,X47,X48)
| ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
& ( ~ iext(X44,esk1_5(X44,X45,X46,X47,X48),esk3_5(X44,X45,X46,X47,X48))
| ~ ip(X44)
| ~ ip(X46)
| ~ ip(X48)
| iext(uri_owl_propertyChainAxiom,X44,X45)
| ~ iext(uri_rdf_first,X45,X46)
| ~ iext(uri_rdf_rest,X45,X47)
| ~ iext(uri_rdf_first,X47,X48)
| ~ iext(uri_rdf_rest,X47,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])])])])]) ).
cnf(c_0_14,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X2,esk6_1(X1),esk4_1(X1))
| ~ iext(uri_owl_inverseOf,X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_15,plain,
iext(uri_owl_inverseOf,esk11_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,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_13]) ).
cnf(c_0_17,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(esk11_0,esk6_1(uri_ex_p),esk4_1(uri_ex_p)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(X1,X2,esk4_1(uri_ex_p))
| ~ iext(X3,X2,esk6_1(uri_ex_p))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,esk11_0)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,X4)
| ~ iext(uri_owl_propertyChainAxiom,X1,X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
iext(uri_rdf_first,esk9_0,uri_ex_p),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(X1,X2,esk4_1(uri_ex_p))
| ~ iext(uri_ex_p,X2,esk6_1(uri_ex_p))
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,esk11_0)
| ~ iext(uri_rdf_rest,esk9_0,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,esk9_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
iext(uri_rdf_rest,esk10_0,uri_rdf_nil),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
iext(uri_rdf_first,esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,plain,
iext(uri_rdf_rest,esk9_0,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(X1,X2,esk4_1(uri_ex_p))
| ~ iext(uri_ex_p,X2,esk6_1(uri_ex_p))
| ~ iext(uri_owl_propertyChainAxiom,X1,esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_25,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_26,plain,
! [X42,X43] :
( ( ~ iext(uri_owl_sameAs,X42,X43)
| X42 = X43 )
& ( X42 != X43
| iext(uri_owl_sameAs,X42,X43) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).
cnf(c_0_27,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,X1,esk4_1(uri_ex_p))
| ~ iext(uri_ex_p,X1,esk6_1(uri_ex_p)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( iext(X1,esk5_1(X1),esk6_1(X1))
| icext(uri_owl_InverseFunctionalProperty,X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,plain,
ip(uri_ex_p),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ iext(uri_owl_sameAs,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_owl_sameAs,esk5_1(uri_ex_p),esk4_1(uri_ex_p)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
fof(c_0_32,plain,
! [X40,X41] :
( ( ~ iext(uri_rdf_type,X40,X41)
| icext(X41,X40) )
& ( ~ icext(X41,X40)
| iext(uri_rdf_type,X40,X41) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).
cnf(c_0_33,plain,
( icext(uri_owl_InverseFunctionalProperty,X1)
| esk4_1(X1) != esk5_1(X1)
| ~ ip(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( esk5_1(uri_ex_p) = esk4_1(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_35,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])]) ).
cnf(c_0_36,plain,
( iext(uri_rdf_type,X2,X1)
| ~ icext(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_29])]) ).
cnf(c_0_38,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB027+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n008.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 04:09:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.40/1.74 % Version : CSE_E---1.7
% 1.40/1.74 % Problem : theBenchmark.p
% 1.40/1.74 % SZS status Theorem for theBenchmark.p
% 1.40/1.74 % SZS output start CNFRefutation
% See solution above
% 1.40/1.74 % Total time : 1.369s
%------------------------------------------------------------------------------