%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB030+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 : n016.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 09:01:03 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 71 ( 30 unt; 0 def)
% Number of atoms : 199 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 202 ( 74 ~; 74 |; 49 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 120 ( 19 sgn 77 !; 4 ?)
% 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_restrict_hasself,axiom,
! [Z,P,V] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_hasSelf,Z,V) )
=> ! [X] :
( icext(Z,X)
<=> iext(P,X,X) ) ),
file('theBenchmark.p',owl_restrict_hasself) ).
fof(owl_bool_complementof_class,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('theBenchmark.p',owl_bool_complementof_class) ).
fof(testcase_premise_fullish_030_Bad_Class,axiom,
? [BNODE_x] :
( iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
file('theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).
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]) ).
fof(f_1_4,plain,
( ! [U_3,U_5] :
( 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(definitional_conversion,[status(esa)],[f_1_3]) ).
cnf(f_1_5,plain,
( icext(U_2,U_4)
| ~ iext(uri_rdf_type,U_4,U_2) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,plain,
( iext(uri_rdf_type,U_5,U_3)
| ~ icext(U_3,U_5) ),
inference(clausify,[status(thm)],[f_1_4]) ).
fof(f_2_1,plain,
! [Z,P,V] :
( ! [X] :
( ( icext(Z,X)
| ~ iext(P,X,X) )
& ( iext(P,X,X)
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_hasSelf,Z,V) ),
inference(fof_nnf,[status(thm)],[owl_restrict_hasself]) ).
fof(f_2_2,plain,
! [U_9,U_8,U_7] :
( ! [U_6] :
( ( icext(U_9,U_6)
| ~ iext(U_8,U_6,U_6) )
& ( iext(U_8,U_6,U_6)
| ~ icext(U_9,U_6) ) )
| ~ iext(uri_owl_onProperty,U_9,U_8)
| ~ iext(uri_owl_hasSelf,U_9,U_7) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_9,U_8] :
( ! [U_7] : ~ iext(uri_owl_hasSelf,U_9,U_7)
| ~ iext(uri_owl_onProperty,U_9,U_8)
| ( ! [U_11] :
( icext(U_9,U_11)
| ~ iext(U_8,U_11,U_11) )
& ! [U_10] :
( iext(U_8,U_10,U_10)
| ~ icext(U_9,U_10) ) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_8,U_9,U_10,U_11] :
( icext(U_9,U_11)
| ~ iext(U_8,U_11,U_11)
| ~ sP0(U_8,U_9,U_10,U_11) )
& ! [U_8,U_9,U_10,U_11] :
( iext(U_8,U_10,U_10)
| ~ icext(U_9,U_10)
| ~ sP0(U_8,U_9,U_10,U_11) )
& ! [U_7,U_8,U_9,U_10,U_11] :
( ~ iext(uri_owl_hasSelf,U_9,U_7)
| ~ iext(uri_owl_onProperty,U_9,U_8)
| sP0(U_8,U_9,U_10,U_11) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_2_3]) ).
cnf(f_2_5,plain,
( ~ iext(uri_owl_hasSelf,U_9,U_7)
| ~ iext(uri_owl_onProperty,U_9,U_8)
| sP0(U_8,U_9,U_10,U_11) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_6,plain,
( iext(U_8,U_10,U_10)
| ~ icext(U_9,U_10)
| ~ sP0(U_8,U_9,U_10,U_11) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_7,plain,
( icext(U_9,U_11)
| ~ iext(U_8,U_11,U_11)
| ~ sP0(U_8,U_9,U_10,U_11) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(Z,X)
| icext(C,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(fof_nnf,[status(thm)],[owl_bool_complementof_class]) ).
fof(f_3_2,plain,
! [U_14,U_13] :
( ( ! [U_12] :
( ( icext(U_14,U_12)
| icext(U_13,U_12) )
& ( ~ icext(U_13,U_12)
| ~ icext(U_14,U_12) ) )
& ic(U_13)
& ic(U_14) )
| ~ iext(uri_owl_complementOf,U_14,U_13) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_14,U_13] :
( ( ! [U_16] :
( icext(U_14,U_16)
| icext(U_13,U_16) )
& ! [U_15] :
( ~ icext(U_13,U_15)
| ~ icext(U_14,U_15) )
& ic(U_13)
& ic(U_14) )
| ~ iext(uri_owl_complementOf,U_14,U_13) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_14,U_16,U_15,U_13] :
( icext(U_14,U_16)
| icext(U_13,U_16)
| ~ sP1(U_14,U_16,U_15,U_13) )
& ! [U_14,U_16,U_15,U_13] :
( ~ icext(U_13,U_15)
| ~ icext(U_14,U_15)
| ~ sP1(U_14,U_16,U_15,U_13) )
& ! [U_14,U_16,U_15,U_13] :
( ic(U_13)
| ~ sP1(U_14,U_16,U_15,U_13) )
& ! [U_14,U_16,U_15,U_13] :
( ic(U_14)
| ~ sP1(U_14,U_16,U_15,U_13) )
& ! [U_14,U_16,U_15,U_13] :
( sP1(U_14,U_16,U_15,U_13)
| ~ iext(uri_owl_complementOf,U_14,U_13) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_3_3]) ).
cnf(f_3_5,plain,
( sP1(U_14,U_16,U_15,U_13)
| ~ iext(uri_owl_complementOf,U_14,U_13) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_8,plain,
( ~ icext(U_13,U_15)
| ~ icext(U_14,U_15)
| ~ sP1(U_14,U_16,U_15,U_13) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_9,plain,
( icext(U_14,U_16)
| icext(U_13,U_16)
| ~ sP1(U_14,U_16,U_15,U_13) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
? [BNODE_x] :
( iext(uri_owl_hasSelf,BNODE_x,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,BNODE_x,uri_rdf_type)
& iext(uri_rdf_type,BNODE_x,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,BNODE_x)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_030_Bad_Class]) ).
fof(f_4_2,plain,
? [U_17] :
( iext(uri_owl_hasSelf,U_17,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,U_17,uri_rdf_type)
& iext(uri_rdf_type,U_17,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,U_17)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ? [U_17] :
( iext(uri_owl_hasSelf,U_17,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,U_17,uri_rdf_type)
& iext(uri_rdf_type,U_17,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,U_17) )
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,sK1,uri_rdf_type)
& iext(uri_rdf_type,sK1,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,sK1)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_17,sK1)],[f_4_3]) ).
fof(f_4_5,plain,
( iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,sK1,uri_rdf_type)
& iext(uri_rdf_type,sK1,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,sK1)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(definitional_conversion,[status(esa)],[f_4_4]) ).
cnf(f_4_7,plain,
iext(uri_owl_complementOf,uri_ex_c,sK1),
inference(clausify,[status(thm)],[f_4_5]) ).
cnf(f_4_9,plain,
iext(uri_owl_onProperty,sK1,uri_rdf_type),
inference(clausify,[status(thm)],[f_4_5]) ).
cnf(f_4_10,plain,
iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(clausify,[status(thm)],[f_4_5]) ).
cnf(t1,plain,
( ~ icext(uri_ex_c,uri_ex_c)
| ~ icext(sK1,uri_ex_c)
| ~ sP1(uri_ex_c,U_209,uri_ex_c,sK1) ),
inference(start,[status(thm),parent(0:0)],[f_3_8]) ).
cnf(t2,plain,
( ~ iext(uri_owl_complementOf,uri_ex_c,sK1)
| sP1(uri_ex_c,U_209,uri_ex_c,sK1) ),
inference(extension,[status(thm),parent(t1:1)],[f_3_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
iext(uri_owl_complementOf,uri_ex_c,sK1),
inference(extension,[status(thm),parent(t2:2)],[f_4_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( icext(uri_ex_c,uri_ex_c)
| ~ sP1(uri_ex_c,uri_ex_c,U_218,sK1)
| icext(sK1,uri_ex_c) ),
inference(extension,[status(thm),parent(t1:2)],[f_3_9]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
( ~ iext(uri_owl_complementOf,uri_ex_c,sK1)
| sP1(uri_ex_c,uri_ex_c,U_218,sK1) ),
inference(extension,[status(thm),parent(t6:2)],[f_3_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
iext(uri_owl_complementOf,uri_ex_c,sK1),
inference(extension,[status(thm),parent(t8:2)],[f_4_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( iext(uri_rdf_type,uri_ex_c,uri_ex_c)
| ~ icext(uri_ex_c,uri_ex_c) ),
inference(extension,[status(thm),parent(t6:3)],[f_1_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
( icext(sK1,uri_ex_c)
| ~ sP0(uri_rdf_type,sK1,U_227,uri_ex_c)
| ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
inference(extension,[status(thm),parent(t12:2)],[f_2_7]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ iext(uri_owl_onProperty,sK1,uri_rdf_type)
| ~ iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean))
| sP0(uri_rdf_type,sK1,U_227,uri_ex_c) ),
inference(extension,[status(thm),parent(t14:2)],[f_2_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(extension,[status(thm),parent(t16:2)],[f_4_10]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
iext(uri_owl_onProperty,sK1,uri_rdf_type),
inference(extension,[status(thm),parent(t16:3)],[f_4_9]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t16:3]) ).
cnf(t22,plain,
$false,
inference(reduction,[status(thm),parent(t14:3)],[t14:3,t1:2]) ).
cnf(t23,plain,
( icext(sK1,uri_ex_c)
| ~ sP1(uri_ex_c,uri_ex_c,U_237,sK1)
| icext(uri_ex_c,uri_ex_c) ),
inference(extension,[status(thm),parent(t1:3)],[f_3_9]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t1:3]) ).
cnf(t25,plain,
( ~ iext(uri_owl_complementOf,uri_ex_c,sK1)
| sP1(uri_ex_c,uri_ex_c,U_237,sK1) ),
inference(extension,[status(thm),parent(t23:2)],[f_3_5]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t23:2]) ).
cnf(t27,plain,
iext(uri_owl_complementOf,uri_ex_c,sK1),
inference(extension,[status(thm),parent(t25:2)],[f_4_7]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
( iext(uri_rdf_type,uri_ex_c,uri_ex_c)
| ~ sP0(uri_rdf_type,sK1,uri_ex_c,U_245)
| ~ icext(sK1,uri_ex_c) ),
inference(extension,[status(thm),parent(t23:3)],[f_2_6]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t23:3]) ).
cnf(t31,plain,
( ~ iext(uri_owl_onProperty,sK1,uri_rdf_type)
| ~ iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean))
| sP0(uri_rdf_type,sK1,uri_ex_c,U_245) ),
inference(extension,[status(thm),parent(t29:2)],[f_2_5]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t29:2]) ).
cnf(t33,plain,
iext(uri_owl_hasSelf,sK1,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(extension,[status(thm),parent(t31:2)],[f_4_10]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t31:2]) ).
cnf(t35,plain,
iext(uri_owl_onProperty,sK1,uri_rdf_type),
inference(extension,[status(thm),parent(t31:3)],[f_4_9]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t31:3]) ).
cnf(t37,plain,
( icext(uri_ex_c,uri_ex_c)
| ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
inference(extension,[status(thm),parent(t29:3)],[f_1_5]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t29:3]) ).
cnf(t39,plain,
$false,
inference(reduction,[status(thm),parent(t37:2)],[t37:2,t1:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 01:18:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------