%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:00:54 AM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 17 unt; 0 def)
% Number of atoms : 134 ( 24 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 150 ( 56 ~; 52 |; 38 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 72 ( 0 sgn 52 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('theBenchmark.p',owl_eqdis_sameas) ).
fof(owl_char_inversefunctional,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ! [X1,X2,Y] :
( ( iext(P,X2,Y)
& iext(P,X1,Y) )
=> X1 = X2 )
& ip(P) ) ),
file('theBenchmark.p',owl_char_inversefunctional) ).
fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
fof(testcase_premise_fullish_008_Inverse_Functional_Data_Properties,axiom,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
file('theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f_1_1,plain,
! [X,C] :
( ( iext(uri_rdf_type,X,C)
| ~ icext(C,X) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(fof_nnf,[status(thm)],[rdfs_cext_def]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ( iext(uri_rdf_type,U_1,U_0)
| ~ icext(U_0,U_1) )
& ( icext(U_0,U_1)
| ~ iext(uri_rdf_type,U_1,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_5,U_3] :
( iext(uri_rdf_type,U_5,U_3)
| ~ icext(U_3,U_5) )
& ! [U_4,U_2] :
( icext(U_2,U_4)
| ~ iext(uri_rdf_type,U_4,U_2) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( icext(U_2,U_4)
| ~ iext(uri_rdf_type,U_4,U_2) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X,Y] :
( ( iext(uri_owl_sameAs,X,Y)
| X != Y )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(fof_nnf,[status(thm)],[owl_eqdis_sameas]) ).
fof(f_2_2,plain,
! [U_7,U_6] :
( ( iext(uri_owl_sameAs,U_7,U_6)
| U_7 != U_6 )
& ( U_7 = U_6
| ~ iext(uri_owl_sameAs,U_7,U_6) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_11,U_9] :
( iext(uri_owl_sameAs,U_11,U_9)
| U_11 != U_9 )
& ! [U_10,U_8] :
( U_10 = U_8
| ~ iext(uri_owl_sameAs,U_10,U_8) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_5,plain,
( iext(uri_owl_sameAs,U_11,U_9)
| U_11 != U_9 ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [P] :
( ( icext(uri_owl_InverseFunctionalProperty,P)
| ? [X1,X2,Y] :
( X1 != X2
& iext(P,X2,Y)
& iext(P,X1,Y) )
| ~ ip(P) )
& ( ( ! [X1,X2,Y] :
( X1 = X2
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) )
& ip(P) )
| ~ icext(uri_owl_InverseFunctionalProperty,P) ) ),
inference(fof_nnf,[status(thm)],[owl_char_inversefunctional]) ).
fof(f_3_2,plain,
! [U_18] :
( ( icext(uri_owl_InverseFunctionalProperty,U_18)
| ? [U_17,U_16,U_15] :
( U_17 != U_16
& iext(U_18,U_16,U_15)
& iext(U_18,U_17,U_15) )
| ~ ip(U_18) )
& ( ( ! [U_14,U_13,U_12] :
( U_14 = U_13
| ~ iext(U_18,U_13,U_12)
| ~ iext(U_18,U_14,U_12) )
& ip(U_18) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_18) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_20] :
( icext(uri_owl_InverseFunctionalProperty,U_20)
| ? [U_17,U_16] :
( ? [U_15] :
( iext(U_20,U_16,U_15)
& iext(U_20,U_17,U_15) )
& U_17 != U_16 )
| ~ ip(U_20) )
& ! [U_19] :
( ( ! [U_14,U_13] :
( ! [U_12] :
( ~ iext(U_19,U_13,U_12)
| ~ iext(U_19,U_14,U_12) )
| U_14 = U_13 )
& ip(U_19) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_19) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_20] :
( icext(uri_owl_InverseFunctionalProperty,U_20)
| ? [U_16] :
( ? [U_15] :
( iext(U_20,U_16,U_15)
& iext(U_20,sK1(U_20),U_15) )
& sK1(U_20) != U_16 )
| ~ ip(U_20) )
& ! [U_19] :
( ( ! [U_14,U_13] :
( ! [U_12] :
( ~ iext(U_19,U_13,U_12)
| ~ iext(U_19,U_14,U_12) )
| U_14 = U_13 )
& ip(U_19) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_19) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_17,sK1(U_20))],[f_3_3]) ).
fof(f_3_5,plain,
( ! [U_20] :
( icext(uri_owl_InverseFunctionalProperty,U_20)
| ( ? [U_15] :
( iext(U_20,sK2(U_20),U_15)
& iext(U_20,sK1(U_20),U_15) )
& sK1(U_20) != sK2(U_20) )
| ~ ip(U_20) )
& ! [U_19] :
( ( ! [U_14,U_13] :
( ! [U_12] :
( ~ iext(U_19,U_13,U_12)
| ~ iext(U_19,U_14,U_12) )
| U_14 = U_13 )
& ip(U_19) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_19) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_16,sK2(U_20))],[f_3_4]) ).
fof(f_3_6,plain,
( ! [U_20] :
( icext(uri_owl_InverseFunctionalProperty,U_20)
| ( iext(U_20,sK2(U_20),sK3(U_20))
& iext(U_20,sK1(U_20),sK3(U_20))
& sK1(U_20) != sK2(U_20) )
| ~ ip(U_20) )
& ! [U_19] :
( ( ! [U_14,U_13] :
( ! [U_12] :
( ~ iext(U_19,U_13,U_12)
| ~ iext(U_19,U_14,U_12) )
| U_14 = U_13 )
& ip(U_19) )
| ~ icext(uri_owl_InverseFunctionalProperty,U_19) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_15,sK3(U_20))],[f_3_5]) ).
cnf(f_3_8,plain,
( ~ iext(U_19,U_13,U_12)
| ~ iext(U_19,U_14,U_12)
| U_14 = U_13
| ~ icext(uri_owl_InverseFunctionalProperty,U_19) ),
inference(clausify,[status(thm)],[f_3_6]) ).
fof(f_4_1,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(negate,[status(cth)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties]) ).
fof(f_4_2,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(definitional_conversion,[status(esa)],[f_4_1]) ).
cnf(f_4_3,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]) ).
cnf(f_5_3,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(clausify,[status(thm)],[f_5_1]) ).
cnf(f_5_4,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(clausify,[status(thm)],[f_5_1]) ).
cnf(f_5_5,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(clausify,[status(thm)],[f_5_1]) ).
cnf(t1,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(start,[status(thm),parent(0:0)],[f_4_3]) ).
cnf(t2,plain,
( uri_ex_bob != uri_ex_robert
| iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert) ),
inference(extension,[status(thm),parent(t1:1)],[f_2_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| uri_ex_bob = uri_ex_robert ),
inference(extension,[status(thm),parent(t2:2)],[f_3_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
| icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(extension,[status(thm),parent(t4:2)],[f_1_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(extension,[status(thm),parent(t6:2)],[f_5_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(extension,[status(thm),parent(t4:3)],[f_5_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).
cnf(t12,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(extension,[status(thm),parent(t4:4)],[f_5_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB008+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n004.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sun Sep 20 01:03:19 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------