%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 09:00:59 AM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 72 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 30 ~; 26 |; 9 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 45 ( 1 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_domain_main,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('theBenchmark.p',rdfs_domain_main) ).
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('theBenchmark.p',owl_eqdis_sameas) ).
fof(testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics,conjecture,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
file('theBenchmark.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).
fof(testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics,axiom,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
file('theBenchmark.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).
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_5,plain,
( iext(uri_rdf_type,U_5,U_3)
| ~ icext(U_3,U_5) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(fof_nnf,[status(thm)],[rdfs_domain_main]) ).
fof(f_2_2,plain,
! [U_9,U_8,U_7,U_6] :
( icext(U_8,U_7)
| ~ iext(U_9,U_7,U_6)
| ~ iext(uri_rdfs_domain,U_9,U_8) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_9,U_8,U_7] :
( ! [U_6] : ~ iext(U_9,U_7,U_6)
| ~ iext(uri_rdfs_domain,U_9,U_8)
| icext(U_8,U_7) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ~ iext(U_9,U_7,U_6)
| ~ iext(uri_rdfs_domain,U_9,U_8)
| icext(U_8,U_7) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_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_3_2,plain,
! [U_11,U_10] :
( ( iext(uri_owl_sameAs,U_11,U_10)
| U_11 != U_10 )
& ( U_11 = U_10
| ~ iext(uri_owl_sameAs,U_11,U_10) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_15,U_13] :
( iext(uri_owl_sameAs,U_15,U_13)
| U_15 != U_13 )
& ! [U_14,U_12] :
( U_14 = U_12
| ~ iext(uri_owl_sameAs,U_14,U_12) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
cnf(f_3_5,plain,
( iext(uri_owl_sameAs,U_15,U_13)
| U_15 != U_13 ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(negate,[status(cth)],[testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
fof(f_4_2,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(definitional_conversion,[status(esa)],[f_4_1]) ).
cnf(f_4_3,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics]) ).
cnf(f_5_2,plain,
iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
inference(clausify,[status(thm)],[f_5_1]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(t1,plain,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(start,[status(thm),parent(0:0)],[f_4_3]) ).
cnf(t2,plain,
( ~ icext(uri_ex_Person,uri_ex_u)
| iext(uri_rdf_type,uri_ex_u,uri_ex_Person) ),
inference(extension,[status(thm),parent(t1:1)],[f_1_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
| ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u)
| icext(uri_ex_Person,uri_ex_u) ),
inference(extension,[status(thm),parent(t2:2)],[f_2_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( uri_ex_u != uri_ex_u
| iext(uri_owl_sameAs,uri_ex_u,uri_ex_u) ),
inference(extension,[status(thm),parent(t4:2)],[f_3_5]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
uri_ex_u = uri_ex_u,
inference(extension,[status(thm),parent(t6:2)],[equality_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
inference(extension,[status(thm),parent(t4:3)],[f_5_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB018+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 01:08:20 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------