%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB007+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 : n001.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 0.09s 0.39s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 62 ( 38 unt; 0 def)
% Number of atoms : 114 ( 38 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 95 ( 43 ~; 38 |; 13 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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_007_Equal_Classes,conjecture,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
file('theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).
fof(testcase_premise_fullish_007_Equal_Classes,axiom,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
file('theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).
fof(f_1_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_1_2,plain,
! [U_1,U_0] :
( ( iext(uri_owl_sameAs,U_1,U_0)
| U_1 != U_0 )
& ( U_1 = U_0
| ~ iext(uri_owl_sameAs,U_1,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_5,U_3] :
( iext(uri_owl_sameAs,U_5,U_3)
| U_5 != U_3 )
& ! [U_4,U_2] :
( U_4 = U_2
| ~ iext(uri_owl_sameAs,U_4,U_2) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( U_4 = U_2
| ~ iext(uri_owl_sameAs,U_4,U_2) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,negated_conjecture,
~ ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_007_Equal_Classes]) ).
fof(f_2_2,negated_conjecture,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(fof_nnf,[status(thm)],[f_2_1]) ).
fof(f_2_3,negated_conjecture,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,negated_conjecture,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_007_Equal_Classes]) ).
cnf(f_3_2,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(clausify,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(clausify,[status(thm)],[f_3_1]) ).
cnf(f_3_4,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(clausify,[status(thm)],[f_3_1]) ).
cnf(f_3_5,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(clausify,[status(thm)],[f_3_1]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_4,axiom,
( iext(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ iext(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(start,[status(thm),parent(0:0)],[f_2_4]) ).
cnf(t2,plain,
( uri_ex_w != uri_ex_w
| uri_ex_c1 != uri_ex_c2
| ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
| uri_rdf_type != uri_rdf_type
| iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(extension,[status(thm),parent(t1:1)],[equality_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( uri_rdf_type != uri_rdf_type
| uri_rdf_type = uri_rdf_type ),
inference(extension,[status(thm),parent(t2:2)],[equality_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
uri_rdf_type = uri_rdf_type,
inference(extension,[status(thm),parent(t4:2)],[equality_1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(extension,[status(thm),parent(t2:3)],[f_3_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:3]) ).
cnf(t10,plain,
( ~ iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
| uri_ex_c1 = uri_ex_c2 ),
inference(extension,[status(thm),parent(t2:4)],[f_1_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:4]) ).
cnf(t12,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(extension,[status(thm),parent(t10:2)],[f_3_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
uri_ex_w = uri_ex_w,
inference(extension,[status(thm),parent(t2:5)],[equality_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:5]) ).
cnf(t16,plain,
( uri_ex_p != uri_ex_p
| uri_ex_c1 != uri_ex_c2
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
| uri_rdfs_range != uri_rdfs_range
| iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(extension,[status(thm),parent(t1:2)],[equality_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t1:2]) ).
cnf(t18,plain,
( uri_rdfs_range != uri_rdfs_range
| uri_rdfs_range = uri_rdfs_range ),
inference(extension,[status(thm),parent(t16:2)],[equality_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
uri_rdfs_range = uri_rdfs_range,
inference(extension,[status(thm),parent(t18:2)],[equality_1]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(extension,[status(thm),parent(t16:3)],[f_3_5]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t16:3]) ).
cnf(t24,plain,
( ~ iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
| uri_ex_c1 = uri_ex_c2 ),
inference(extension,[status(thm),parent(t16:4)],[f_1_4]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t16:4]) ).
cnf(t26,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(extension,[status(thm),parent(t24:2)],[f_3_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
uri_ex_p = uri_ex_p,
inference(extension,[status(thm),parent(t16:5)],[equality_1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t16:5]) ).
cnf(t30,plain,
( uri_ex_c != uri_ex_c
| uri_ex_c1 != uri_ex_c2
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
| uri_rdfs_subClassOf != uri_rdfs_subClassOf
| iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
inference(extension,[status(thm),parent(t1:3)],[equality_4]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t1:3]) ).
cnf(t32,plain,
( uri_rdfs_subClassOf != uri_rdfs_subClassOf
| uri_rdfs_subClassOf = uri_rdfs_subClassOf ),
inference(extension,[status(thm),parent(t30:2)],[equality_2]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
uri_rdfs_subClassOf = uri_rdfs_subClassOf,
inference(extension,[status(thm),parent(t32:2)],[equality_1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(extension,[status(thm),parent(t30:3)],[f_3_4]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t30:3]) ).
cnf(t38,plain,
( ~ iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
| uri_ex_c1 = uri_ex_c2 ),
inference(extension,[status(thm),parent(t30:4)],[f_1_4]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t30:4]) ).
cnf(t40,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(extension,[status(thm),parent(t38:2)],[f_3_2]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
uri_ex_c = uri_ex_c,
inference(extension,[status(thm),parent(t30:5)],[equality_1]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t30:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB007+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
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 01:08:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------