%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB023+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 : 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 09:01:00 AM UTC 2026
% Result : Theorem 0.07s 0.45s
% Output : Proof 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 27 unt; 0 def)
% Number of atoms : 212 ( 34 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 229 ( 79 ~; 74 |; 71 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn 47 !; 14 ?)
% 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_enum_class_001,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) ) ),
file('theBenchmark.p',owl_enum_class_001) ).
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_023_Unique_List_Components,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
file('theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
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,
! [Z,S1,A1] :
( ( ( iext(uri_owl_oneOf,Z,S1)
| ? [X] :
( ( ~ icext(Z,X)
& X = A1 )
| ( X != A1
& icext(Z,X) ) )
| ~ ic(Z) )
& ( ( ! [X] :
( ( icext(Z,X)
| X != A1 )
& ( X = A1
| ~ icext(Z,X) ) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(fof_nnf,[status(thm)],[owl_enum_class_001]) ).
fof(f_2_2,plain,
! [U_10,U_9,U_8] :
( ( ( iext(uri_owl_oneOf,U_10,U_9)
| ? [U_7] :
( ( ~ icext(U_10,U_7)
& U_7 = U_8 )
| ( U_7 != U_8
& icext(U_10,U_7) ) )
| ~ ic(U_10) )
& ( ( ! [U_6] :
( ( icext(U_10,U_6)
| U_6 != U_8 )
& ( U_6 = U_8
| ~ icext(U_10,U_6) ) )
& ic(U_10) )
| ~ iext(uri_owl_oneOf,U_10,U_9) ) )
| ~ iext(uri_rdf_rest,U_9,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_10,U_9,U_8] :
( ( ( iext(uri_owl_oneOf,U_10,U_9)
| ? [U_14] :
( ~ icext(U_10,U_14)
& U_14 = U_8 )
| ? [U_13] :
( U_13 != U_8
& icext(U_10,U_13) )
| ~ ic(U_10) )
& ( ( ! [U_12] :
( icext(U_10,U_12)
| U_12 != U_8 )
& ! [U_11] :
( U_11 = U_8
| ~ icext(U_10,U_11) )
& ic(U_10) )
| ~ iext(uri_owl_oneOf,U_10,U_9) ) )
| ~ iext(uri_rdf_rest,U_9,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
! [U_10,U_9,U_8] :
( ( ( iext(uri_owl_oneOf,U_10,U_9)
| ? [U_14] :
( ~ icext(U_10,U_14)
& U_14 = U_8 )
| ( sK1(U_10,U_9,U_8) != U_8
& icext(U_10,sK1(U_10,U_9,U_8)) )
| ~ ic(U_10) )
& ( ( ! [U_12] :
( icext(U_10,U_12)
| U_12 != U_8 )
& ! [U_11] :
( U_11 = U_8
| ~ icext(U_10,U_11) )
& ic(U_10) )
| ~ iext(uri_owl_oneOf,U_10,U_9) ) )
| ~ iext(uri_rdf_rest,U_9,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_13,sK1(U_10,U_9,U_8))],[f_2_3]) ).
fof(f_2_5,plain,
! [U_10,U_9,U_8] :
( ( ( iext(uri_owl_oneOf,U_10,U_9)
| ( ~ icext(U_10,sK2(U_10,U_9,U_8))
& sK2(U_10,U_9,U_8) = U_8 )
| ( sK1(U_10,U_9,U_8) != U_8
& icext(U_10,sK1(U_10,U_9,U_8)) )
| ~ ic(U_10) )
& ( ( ! [U_12] :
( icext(U_10,U_12)
| U_12 != U_8 )
& ! [U_11] :
( U_11 = U_8
| ~ icext(U_10,U_11) )
& ic(U_10) )
| ~ iext(uri_owl_oneOf,U_10,U_9) ) )
| ~ iext(uri_rdf_rest,U_9,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_14,sK2(U_10,U_9,U_8))],[f_2_4]) ).
cnf(f_2_7,plain,
( U_11 = U_8
| ~ icext(U_10,U_11)
| ~ iext(uri_owl_oneOf,U_10,U_9)
| ~ iext(uri_rdf_rest,U_9,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(clausify,[status(thm)],[f_2_5]) ).
fof(f_4_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_4_2,plain,
! [U_25,U_24] :
( ( iext(uri_owl_sameAs,U_25,U_24)
| U_25 != U_24 )
& ( U_25 = U_24
| ~ iext(uri_owl_sameAs,U_25,U_24) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_29,U_27] :
( iext(uri_owl_sameAs,U_29,U_27)
| U_29 != U_27 )
& ! [U_28,U_26] :
( U_28 = U_26
| ~ iext(uri_owl_sameAs,U_28,U_26) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
cnf(f_4_5,plain,
( iext(uri_owl_sameAs,U_29,U_27)
| U_29 != U_27 ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_023_Unique_List_Components]) ).
fof(f_5_2,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(fof_nnf,[status(thm)],[f_5_1]) ).
fof(f_5_3,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,negated_conjecture,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_023_Unique_List_Components]) ).
fof(f_6_2,plain,
? [U_31,U_30] :
( iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_first,U_30,uri_ex_v)
& iext(uri_rdf_first,U_30,uri_ex_u)
& iext(uri_owl_oneOf,U_31,U_30)
& iext(uri_rdf_type,U_31,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,U_31)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ? [U_31] :
( ? [U_30] :
( iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_first,U_30,uri_ex_v)
& iext(uri_rdf_first,U_30,uri_ex_u)
& iext(uri_owl_oneOf,U_31,U_30) )
& iext(uri_rdf_type,U_31,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,U_31) )
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ? [U_30] :
( iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_first,U_30,uri_ex_v)
& iext(uri_rdf_first,U_30,uri_ex_u)
& iext(uri_owl_oneOf,sK6,U_30) )
& iext(uri_rdf_type,sK6,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK6)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_31,sK6)],[f_6_3]) ).
fof(f_6_5,plain,
( iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_v)
& iext(uri_rdf_first,sK7,uri_ex_u)
& iext(uri_owl_oneOf,sK6,sK7)
& iext(uri_rdf_type,sK6,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK6)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_30,sK7)],[f_6_4]) ).
cnf(f_6_7,plain,
iext(uri_rdf_type,uri_ex_w,sK6),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_9,plain,
iext(uri_owl_oneOf,sK6,sK7),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_10,plain,
iext(uri_rdf_first,sK7,uri_ex_u),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_11,plain,
iext(uri_rdf_first,sK7,uri_ex_v),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_12,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(t1,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(start,[status(thm),parent(0:0)],[f_5_4]) ).
cnf(t2,plain,
( uri_ex_w != uri_ex_u
| iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(extension,[status(thm),parent(t1:1)],[f_4_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK6,sK7)
| ~ icext(sK6,uri_ex_w)
| ~ iext(uri_rdf_first,sK7,uri_ex_u)
| uri_ex_w = uri_ex_u ),
inference(extension,[status(thm),parent(t2:2)],[f_2_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
iext(uri_rdf_first,sK7,uri_ex_u),
inference(extension,[status(thm),parent(t4:2)],[f_6_10]) ).
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,sK6)
| icext(sK6,uri_ex_w) ),
inference(extension,[status(thm),parent(t4:3)],[f_1_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
iext(uri_rdf_type,uri_ex_w,sK6),
inference(extension,[status(thm),parent(t8:2)],[f_6_7]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
iext(uri_owl_oneOf,sK6,sK7),
inference(extension,[status(thm),parent(t4:4)],[f_6_9]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:4]) ).
cnf(t14,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(extension,[status(thm),parent(t4:5)],[f_6_12]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t4:5]) ).
cnf(t16,plain,
( uri_ex_w != uri_ex_v
| iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(extension,[status(thm),parent(t1:2)],[f_4_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t1:2]) ).
cnf(t18,plain,
( ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,sK6,sK7)
| ~ icext(sK6,uri_ex_w)
| ~ iext(uri_rdf_first,sK7,uri_ex_v)
| uri_ex_w = uri_ex_v ),
inference(extension,[status(thm),parent(t16:2)],[f_2_7]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
iext(uri_rdf_first,sK7,uri_ex_v),
inference(extension,[status(thm),parent(t18:2)],[f_6_11]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ iext(uri_rdf_type,uri_ex_w,sK6)
| icext(sK6,uri_ex_w) ),
inference(extension,[status(thm),parent(t18:3)],[f_1_4]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
iext(uri_rdf_type,uri_ex_w,sK6),
inference(extension,[status(thm),parent(t22:2)],[f_6_7]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
iext(uri_owl_oneOf,sK6,sK7),
inference(extension,[status(thm),parent(t18:4)],[f_6_9]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:4]) ).
cnf(t28,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(extension,[status(thm),parent(t18:5)],[f_6_12]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t18:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB023+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n016.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.37 % WCLimit : 300
% 0.07/0.37 % DateTime : Sun Sep 20 01:18:07 UTC 2026
% 0.07/0.37 % CPUTime :
% 0.07/0.45 % SZS status Theorem for theBenchmark
% 0.07/0.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------