%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB020+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 : n007.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 268.03s 268.39s
% Output : Proof 268.23s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(owl_prop_disjointwith_ext,axiom,
! [X,Y] :
( iext(uri_owl_disjointWith,X,Y)
=> ( ic(Y)
& ic(X) ) ),
file('theBenchmark.p',owl_prop_disjointwith_ext) ).
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(owl_bool_intersectionof_class_002,axiom,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
& icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(owl_bool_unionof_class_003,axiom,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( iext(uri_rdf_rest,S3,uri_rdf_nil)
& iext(uri_rdf_first,S3,C3)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_unionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C3,X)
| icext(C2,X)
| icext(C1,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('theBenchmark.p',owl_bool_unionof_class_003) ).
fof(owl_rdfsext_subclassof,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_rdfsext_subclassof) ).
fof(owl_eqdis_disjointwith,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
~ ( icext(C2,X)
& icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_eqdis_disjointwith) ).
fof(testcase_conclusion_fullish_020_Logical_Complications,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
file('theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).
fof(testcase_premise_fullish_020_Logical_Complications,axiom,
? [BNODE_xs,BNODE_xc,BNODE_lu1,BNODE_lu2,BNODE_lu3,BNODE_li1,BNODE_li2] :
( iext(uri_owl_complementOf,BNODE_xc,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_li2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_li2,BNODE_xc)
& iext(uri_rdf_rest,BNODE_li1,BNODE_li2)
& iext(uri_rdf_first,BNODE_li1,uri_ex_c)
& iext(uri_owl_intersectionOf,BNODE_xs,BNODE_li1)
& iext(uri_rdfs_subClassOf,uri_ex_d,BNODE_xs)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,BNODE_lu3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_lu3,uri_ex_c3)
& iext(uri_rdf_rest,BNODE_lu2,BNODE_lu3)
& iext(uri_rdf_first,BNODE_lu2,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_lu1,BNODE_lu2)
& iext(uri_rdf_first,BNODE_lu1,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,BNODE_lu1) ),
file('theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).
fof(f_1_1,plain,
! [X,Y] :
( ( ic(Y)
& ic(X) )
| ~ iext(uri_owl_disjointWith,X,Y) ),
inference(fof_nnf,[status(thm)],[owl_prop_disjointwith_ext]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ( ic(U_0)
& ic(U_1) )
| ~ iext(uri_owl_disjointWith,U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_0,U_1] :
( ic(U_0)
| ~ sP0(U_0,U_1) )
& ! [U_0,U_1] :
( ic(U_1)
| ~ sP0(U_0,U_1) )
& ! [U_0,U_1] :
( sP0(U_0,U_1)
| ~ iext(uri_owl_disjointWith,U_1,U_0) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_1_2]) ).
cnf(f_1_4,plain,
( sP0(U_0,U_1)
| ~ iext(uri_owl_disjointWith,U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
( ic(U_1)
| ~ sP0(U_0,U_1) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_6,plain,
( ic(U_0)
| ~ sP0(U_0,U_1) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_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_2_2,plain,
! [U_4,U_3] :
( ( ! [U_2] :
( ( icext(U_4,U_2)
| icext(U_3,U_2) )
& ( ~ icext(U_3,U_2)
| ~ icext(U_4,U_2) ) )
& ic(U_3)
& ic(U_4) )
| ~ iext(uri_owl_complementOf,U_4,U_3) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_4,U_3] :
( ( ! [U_6] :
( icext(U_4,U_6)
| icext(U_3,U_6) )
& ! [U_5] :
( ~ icext(U_3,U_5)
| ~ icext(U_4,U_5) )
& ic(U_3)
& ic(U_4) )
| ~ iext(uri_owl_complementOf,U_4,U_3) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_5,U_4,U_3,U_6] :
( icext(U_4,U_6)
| icext(U_3,U_6)
| ~ sP1(U_5,U_4,U_3,U_6) )
& ! [U_5,U_4,U_3,U_6] :
( ~ icext(U_3,U_5)
| ~ icext(U_4,U_5)
| ~ sP1(U_5,U_4,U_3,U_6) )
& ! [U_5,U_4,U_3,U_6] :
( ic(U_3)
| ~ sP1(U_5,U_4,U_3,U_6) )
& ! [U_5,U_4,U_3,U_6] :
( ic(U_4)
| ~ sP1(U_5,U_4,U_3,U_6) )
& ! [U_5,U_4,U_3,U_6] :
( sP1(U_5,U_4,U_3,U_6)
| ~ iext(uri_owl_complementOf,U_4,U_3) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_2_3]) ).
cnf(f_2_5,plain,
( sP1(U_5,U_4,U_3,U_6)
| ~ iext(uri_owl_complementOf,U_4,U_3) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_6,plain,
( ic(U_4)
| ~ sP1(U_5,U_4,U_3,U_6) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_7,plain,
( ic(U_3)
| ~ sP1(U_5,U_4,U_3,U_6) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_8,plain,
( ~ icext(U_3,U_5)
| ~ icext(U_4,U_5)
| ~ sP1(U_5,U_4,U_3,U_6) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_9,plain,
( icext(U_4,U_6)
| icext(U_3,U_6)
| ~ sP1(U_5,U_4,U_3,U_6) ),
inference(clausify,[status(thm)],[f_2_4]) ).
fof(f_3_1,plain,
! [Z,S1,C1,S2,C2] :
( ( ( iext(uri_owl_intersectionOf,Z,S1)
| ? [X] :
( ( ~ icext(Z,X)
& icext(C2,X)
& icext(C1,X) )
| ( ( ~ icext(C2,X)
| ~ icext(C1,X) )
& icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z) )
& ( ( ! [X] :
( ( icext(Z,X)
| ~ icext(C2,X)
| ~ icext(C1,X) )
& ( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(fof_nnf,[status(thm)],[owl_bool_intersectionof_class_002]) ).
fof(f_3_2,plain,
! [U_13,U_12,U_11,U_10,U_9] :
( ( ( iext(uri_owl_intersectionOf,U_13,U_12)
| ? [U_8] :
( ( ~ icext(U_13,U_8)
& icext(U_9,U_8)
& icext(U_11,U_8) )
| ( ( ~ icext(U_9,U_8)
| ~ icext(U_11,U_8) )
& icext(U_13,U_8) ) )
| ~ ic(U_9)
| ~ ic(U_11)
| ~ ic(U_13) )
& ( ( ! [U_7] :
( ( icext(U_13,U_7)
| ~ icext(U_9,U_7)
| ~ icext(U_11,U_7) )
& ( ( icext(U_9,U_7)
& icext(U_11,U_7) )
| ~ icext(U_13,U_7) ) )
& ic(U_9)
& ic(U_11)
& ic(U_13) )
| ~ iext(uri_owl_intersectionOf,U_13,U_12) ) )
| ~ iext(uri_rdf_rest,U_10,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_10,U_9)
| ~ iext(uri_rdf_rest,U_12,U_10)
| ~ iext(uri_rdf_first,U_12,U_11) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_13,U_12,U_11,U_10,U_9] :
( ( ( iext(uri_owl_intersectionOf,U_13,U_12)
| ? [U_17] :
( ~ icext(U_13,U_17)
& icext(U_9,U_17)
& icext(U_11,U_17) )
| ? [U_16] :
( ( ~ icext(U_9,U_16)
| ~ icext(U_11,U_16) )
& icext(U_13,U_16) )
| ~ ic(U_9)
| ~ ic(U_11)
| ~ ic(U_13) )
& ( ( ! [U_15] :
( icext(U_13,U_15)
| ~ icext(U_9,U_15)
| ~ icext(U_11,U_15) )
& ! [U_14] :
( ( icext(U_9,U_14)
& icext(U_11,U_14) )
| ~ icext(U_13,U_14) )
& ic(U_9)
& ic(U_11)
& ic(U_13) )
| ~ iext(uri_owl_intersectionOf,U_13,U_12) ) )
| ~ iext(uri_rdf_rest,U_10,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_10,U_9)
| ~ iext(uri_rdf_rest,U_12,U_10)
| ~ iext(uri_rdf_first,U_12,U_11) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
! [U_13,U_12,U_11,U_10,U_9] :
( ( ( iext(uri_owl_intersectionOf,U_13,U_12)
| ? [U_17] :
( ~ icext(U_13,U_17)
& icext(U_9,U_17)
& icext(U_11,U_17) )
| ( ( ~ icext(U_9,sK1(U_13,U_12,U_11,U_10,U_9))
| ~ icext(U_11,sK1(U_13,U_12,U_11,U_10,U_9)) )
& icext(U_13,sK1(U_13,U_12,U_11,U_10,U_9)) )
| ~ ic(U_9)
| ~ ic(U_11)
| ~ ic(U_13) )
& ( ( ! [U_15] :
( icext(U_13,U_15)
| ~ icext(U_9,U_15)
| ~ icext(U_11,U_15) )
& ! [U_14] :
( ( icext(U_9,U_14)
& icext(U_11,U_14) )
| ~ icext(U_13,U_14) )
& ic(U_9)
& ic(U_11)
& ic(U_13) )
| ~ iext(uri_owl_intersectionOf,U_13,U_12) ) )
| ~ iext(uri_rdf_rest,U_10,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_10,U_9)
| ~ iext(uri_rdf_rest,U_12,U_10)
| ~ iext(uri_rdf_first,U_12,U_11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_16,sK1(U_13,U_12,U_11,U_10,U_9))],[f_3_3]) ).
fof(f_3_5,plain,
! [U_13,U_12,U_11,U_10,U_9] :
( ( ( iext(uri_owl_intersectionOf,U_13,U_12)
| ( ~ icext(U_13,sK2(U_13,U_12,U_11,U_10,U_9))
& icext(U_9,sK2(U_13,U_12,U_11,U_10,U_9))
& icext(U_11,sK2(U_13,U_12,U_11,U_10,U_9)) )
| ( ( ~ icext(U_9,sK1(U_13,U_12,U_11,U_10,U_9))
| ~ icext(U_11,sK1(U_13,U_12,U_11,U_10,U_9)) )
& icext(U_13,sK1(U_13,U_12,U_11,U_10,U_9)) )
| ~ ic(U_9)
| ~ ic(U_11)
| ~ ic(U_13) )
& ( ( ! [U_15] :
( icext(U_13,U_15)
| ~ icext(U_9,U_15)
| ~ icext(U_11,U_15) )
& ! [U_14] :
( ( icext(U_9,U_14)
& icext(U_11,U_14) )
| ~ icext(U_13,U_14) )
& ic(U_9)
& ic(U_11)
& ic(U_13) )
| ~ iext(uri_owl_intersectionOf,U_13,U_12) ) )
| ~ iext(uri_rdf_rest,U_10,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_10,U_9)
| ~ iext(uri_rdf_rest,U_12,U_10)
| ~ iext(uri_rdf_first,U_12,U_11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_17,sK2(U_13,U_12,U_11,U_10,U_9))],[f_3_4]) ).
fof(f_3_6,plain,
( ! [U_11,U_10,U_13,U_9,U_12] :
( ~ icext(U_13,sK2(U_13,U_12,U_11,U_10,U_9))
| ~ sP5(U_11,U_10,U_13,U_9,U_12) )
& ! [U_11,U_10,U_13,U_9,U_12] :
( icext(U_9,sK2(U_13,U_12,U_11,U_10,U_9))
| ~ sP5(U_11,U_10,U_13,U_9,U_12) )
& ! [U_11,U_10,U_13,U_9,U_12] :
( icext(U_11,sK2(U_13,U_12,U_11,U_10,U_9))
| ~ sP5(U_11,U_10,U_13,U_9,U_12) )
& ! [U_11,U_10,U_13,U_9,U_12] :
( ~ icext(U_9,sK1(U_13,U_12,U_11,U_10,U_9))
| ~ icext(U_11,sK1(U_13,U_12,U_11,U_10,U_9))
| ~ sP4(U_11,U_10,U_13,U_9,U_12) )
& ! [U_11,U_10,U_13,U_9,U_12] :
( icext(U_13,sK1(U_13,U_12,U_11,U_10,U_9))
| ~ sP4(U_11,U_10,U_13,U_9,U_12) )
& ! [U_11,U_9,U_14] :
( icext(U_9,U_14)
| ~ sP2(U_11,U_9,U_14) )
& ! [U_11,U_9,U_14] :
( icext(U_11,U_14)
| ~ sP2(U_11,U_9,U_14) )
& ! [U_11,U_13,U_9,U_14,U_15] :
( icext(U_13,U_15)
| ~ icext(U_9,U_15)
| ~ icext(U_11,U_15)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) )
& ! [U_11,U_13,U_9,U_14,U_15] :
( sP2(U_11,U_9,U_14)
| ~ icext(U_13,U_14)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) )
& ! [U_11,U_13,U_9,U_14,U_15] :
( ic(U_9)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) )
& ! [U_11,U_13,U_9,U_14,U_15] :
( ic(U_11)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) )
& ! [U_11,U_13,U_9,U_14,U_15] :
( ic(U_13)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) )
& ! [U_11,U_10,U_13,U_9,U_12,U_14,U_15] :
( iext(uri_owl_intersectionOf,U_13,U_12)
| sP5(U_11,U_10,U_13,U_9,U_12)
| sP4(U_11,U_10,U_13,U_9,U_12)
| ~ ic(U_9)
| ~ ic(U_11)
| ~ ic(U_13)
| ~ sP6(U_11,U_10,U_13,U_9,U_12,U_14,U_15) )
& ! [U_11,U_10,U_13,U_9,U_12,U_14,U_15] :
( sP3(U_11,U_13,U_9,U_14,U_15)
| ~ iext(uri_owl_intersectionOf,U_13,U_12)
| ~ sP6(U_11,U_10,U_13,U_9,U_12,U_14,U_15) )
& ! [U_11,U_10,U_13,U_9,U_12,U_14,U_15] :
( sP6(U_11,U_10,U_13,U_9,U_12,U_14,U_15)
| ~ iext(uri_rdf_rest,U_10,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_10,U_9)
| ~ iext(uri_rdf_rest,U_12,U_10)
| ~ iext(uri_rdf_first,U_12,U_11) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2,sP3,sP4,sP5,sP6])],[f_3_5]) ).
cnf(f_3_7,plain,
( sP6(U_11,U_10,U_13,U_9,U_12,U_14,U_15)
| ~ iext(uri_rdf_rest,U_10,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_10,U_9)
| ~ iext(uri_rdf_rest,U_12,U_10)
| ~ iext(uri_rdf_first,U_12,U_11) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_8,plain,
( sP3(U_11,U_13,U_9,U_14,U_15)
| ~ iext(uri_owl_intersectionOf,U_13,U_12)
| ~ sP6(U_11,U_10,U_13,U_9,U_12,U_14,U_15) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_9,plain,
( iext(uri_owl_intersectionOf,U_13,U_12)
| sP5(U_11,U_10,U_13,U_9,U_12)
| sP4(U_11,U_10,U_13,U_9,U_12)
| ~ ic(U_9)
| ~ ic(U_11)
| ~ ic(U_13)
| ~ sP6(U_11,U_10,U_13,U_9,U_12,U_14,U_15) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_10,plain,
( ic(U_13)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_11,plain,
( ic(U_11)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_12,plain,
( ic(U_9)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_13,plain,
( sP2(U_11,U_9,U_14)
| ~ icext(U_13,U_14)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_14,plain,
( icext(U_13,U_15)
| ~ icext(U_9,U_15)
| ~ icext(U_11,U_15)
| ~ sP3(U_11,U_13,U_9,U_14,U_15) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_15,plain,
( icext(U_11,U_14)
| ~ sP2(U_11,U_9,U_14) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_16,plain,
( icext(U_9,U_14)
| ~ sP2(U_11,U_9,U_14) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_17,plain,
( icext(U_13,sK1(U_13,U_12,U_11,U_10,U_9))
| ~ sP4(U_11,U_10,U_13,U_9,U_12) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_18,plain,
( ~ icext(U_9,sK1(U_13,U_12,U_11,U_10,U_9))
| ~ icext(U_11,sK1(U_13,U_12,U_11,U_10,U_9))
| ~ sP4(U_11,U_10,U_13,U_9,U_12) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_19,plain,
( icext(U_11,sK2(U_13,U_12,U_11,U_10,U_9))
| ~ sP5(U_11,U_10,U_13,U_9,U_12) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_20,plain,
( icext(U_9,sK2(U_13,U_12,U_11,U_10,U_9))
| ~ sP5(U_11,U_10,U_13,U_9,U_12) ),
inference(clausify,[status(thm)],[f_3_6]) ).
cnf(f_3_21,plain,
( ~ icext(U_13,sK2(U_13,U_12,U_11,U_10,U_9))
| ~ sP5(U_11,U_10,U_13,U_9,U_12) ),
inference(clausify,[status(thm)],[f_3_6]) ).
fof(f_4_1,plain,
! [Z,S1,C1,S2,C2,S3,C3] :
( ( ( iext(uri_owl_unionOf,Z,S1)
| ? [X] :
( ( ~ icext(Z,X)
& ( icext(C3,X)
| icext(C2,X)
| icext(C1,X) ) )
| ( ~ icext(C3,X)
& ~ icext(C2,X)
& ~ icext(C1,X)
& icext(Z,X) ) )
| ~ ic(C3)
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z) )
& ( ( ! [X] :
( ( icext(Z,X)
| ( ~ icext(C3,X)
& ~ icext(C2,X)
& ~ icext(C1,X) ) )
& ( icext(C3,X)
| icext(C2,X)
| icext(C1,X)
| ~ icext(Z,X) ) )
& ic(C3)
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,C3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(fof_nnf,[status(thm)],[owl_bool_unionof_class_003]) ).
fof(f_4_2,plain,
! [U_26,U_25,U_24,U_23,U_22,U_21,U_20] :
( ( ( iext(uri_owl_unionOf,U_26,U_25)
| ? [U_19] :
( ( ~ icext(U_26,U_19)
& ( icext(U_20,U_19)
| icext(U_22,U_19)
| icext(U_24,U_19) ) )
| ( ~ icext(U_20,U_19)
& ~ icext(U_22,U_19)
& ~ icext(U_24,U_19)
& icext(U_26,U_19) ) )
| ~ ic(U_20)
| ~ ic(U_22)
| ~ ic(U_24)
| ~ ic(U_26) )
& ( ( ! [U_18] :
( ( icext(U_26,U_18)
| ( ~ icext(U_20,U_18)
& ~ icext(U_22,U_18)
& ~ icext(U_24,U_18) ) )
& ( icext(U_20,U_18)
| icext(U_22,U_18)
| icext(U_24,U_18)
| ~ icext(U_26,U_18) ) )
& ic(U_20)
& ic(U_22)
& ic(U_24)
& ic(U_26) )
| ~ iext(uri_owl_unionOf,U_26,U_25) ) )
| ~ iext(uri_rdf_rest,U_21,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_21,U_20)
| ~ iext(uri_rdf_rest,U_23,U_21)
| ~ iext(uri_rdf_first,U_23,U_22)
| ~ iext(uri_rdf_rest,U_25,U_23)
| ~ iext(uri_rdf_first,U_25,U_24) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_26,U_25,U_24,U_23,U_22,U_21,U_20] :
( ( ( iext(uri_owl_unionOf,U_26,U_25)
| ? [U_30] :
( ~ icext(U_26,U_30)
& ( icext(U_20,U_30)
| icext(U_22,U_30)
| icext(U_24,U_30) ) )
| ? [U_29] :
( ~ icext(U_20,U_29)
& ~ icext(U_22,U_29)
& ~ icext(U_24,U_29)
& icext(U_26,U_29) )
| ~ ic(U_20)
| ~ ic(U_22)
| ~ ic(U_24)
| ~ ic(U_26) )
& ( ( ! [U_28] :
( icext(U_26,U_28)
| ( ~ icext(U_20,U_28)
& ~ icext(U_22,U_28)
& ~ icext(U_24,U_28) ) )
& ! [U_27] :
( icext(U_20,U_27)
| icext(U_22,U_27)
| icext(U_24,U_27)
| ~ icext(U_26,U_27) )
& ic(U_20)
& ic(U_22)
& ic(U_24)
& ic(U_26) )
| ~ iext(uri_owl_unionOf,U_26,U_25) ) )
| ~ iext(uri_rdf_rest,U_21,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_21,U_20)
| ~ iext(uri_rdf_rest,U_23,U_21)
| ~ iext(uri_rdf_first,U_23,U_22)
| ~ iext(uri_rdf_rest,U_25,U_23)
| ~ iext(uri_rdf_first,U_25,U_24) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
! [U_26,U_25,U_24,U_23,U_22,U_21,U_20] :
( ( ( iext(uri_owl_unionOf,U_26,U_25)
| ? [U_30] :
( ~ icext(U_26,U_30)
& ( icext(U_20,U_30)
| icext(U_22,U_30)
| icext(U_24,U_30) ) )
| ( ~ icext(U_20,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
& ~ icext(U_22,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
& ~ icext(U_24,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
& icext(U_26,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20)) )
| ~ ic(U_20)
| ~ ic(U_22)
| ~ ic(U_24)
| ~ ic(U_26) )
& ( ( ! [U_28] :
( icext(U_26,U_28)
| ( ~ icext(U_20,U_28)
& ~ icext(U_22,U_28)
& ~ icext(U_24,U_28) ) )
& ! [U_27] :
( icext(U_20,U_27)
| icext(U_22,U_27)
| icext(U_24,U_27)
| ~ icext(U_26,U_27) )
& ic(U_20)
& ic(U_22)
& ic(U_24)
& ic(U_26) )
| ~ iext(uri_owl_unionOf,U_26,U_25) ) )
| ~ iext(uri_rdf_rest,U_21,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_21,U_20)
| ~ iext(uri_rdf_rest,U_23,U_21)
| ~ iext(uri_rdf_first,U_23,U_22)
| ~ iext(uri_rdf_rest,U_25,U_23)
| ~ iext(uri_rdf_first,U_25,U_24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_29,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))],[f_4_3]) ).
fof(f_4_5,plain,
! [U_26,U_25,U_24,U_23,U_22,U_21,U_20] :
( ( ( iext(uri_owl_unionOf,U_26,U_25)
| ( ~ icext(U_26,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
& ( icext(U_20,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| icext(U_22,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| icext(U_24,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20)) ) )
| ( ~ icext(U_20,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
& ~ icext(U_22,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
& ~ icext(U_24,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
& icext(U_26,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20)) )
| ~ ic(U_20)
| ~ ic(U_22)
| ~ ic(U_24)
| ~ ic(U_26) )
& ( ( ! [U_28] :
( icext(U_26,U_28)
| ( ~ icext(U_20,U_28)
& ~ icext(U_22,U_28)
& ~ icext(U_24,U_28) ) )
& ! [U_27] :
( icext(U_20,U_27)
| icext(U_22,U_27)
| icext(U_24,U_27)
| ~ icext(U_26,U_27) )
& ic(U_20)
& ic(U_22)
& ic(U_24)
& ic(U_26) )
| ~ iext(uri_owl_unionOf,U_26,U_25) ) )
| ~ iext(uri_rdf_rest,U_21,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_21,U_20)
| ~ iext(uri_rdf_rest,U_23,U_21)
| ~ iext(uri_rdf_first,U_23,U_22)
| ~ iext(uri_rdf_rest,U_25,U_23)
| ~ iext(uri_rdf_first,U_25,U_24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_30,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))],[f_4_4]) ).
fof(f_4_6,plain,
( ! [U_26,U_22,U_21,U_20,U_23,U_24,U_25] :
( ~ icext(U_26,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP10(U_26,U_22,U_21,U_20,U_23,U_24,U_25) )
& ! [U_26,U_22,U_21,U_20,U_23,U_24,U_25] :
( icext(U_20,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| icext(U_22,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| icext(U_24,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP10(U_26,U_22,U_21,U_20,U_23,U_24,U_25) )
& ! [U_26,U_22,U_21,U_20,U_23,U_24,U_25] :
( ~ icext(U_20,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25) )
& ! [U_26,U_22,U_21,U_20,U_23,U_24,U_25] :
( ~ icext(U_22,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25) )
& ! [U_26,U_22,U_21,U_20,U_23,U_24,U_25] :
( ~ icext(U_24,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25) )
& ! [U_26,U_22,U_21,U_20,U_23,U_24,U_25] :
( icext(U_26,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25) )
& ! [U_22,U_28,U_20,U_24] :
( ~ icext(U_20,U_28)
| ~ sP7(U_22,U_28,U_20,U_24) )
& ! [U_22,U_28,U_20,U_24] :
( ~ icext(U_22,U_28)
| ~ sP7(U_22,U_28,U_20,U_24) )
& ! [U_22,U_28,U_20,U_24] :
( ~ icext(U_24,U_28)
| ~ sP7(U_22,U_28,U_20,U_24) )
& ! [U_26,U_22,U_28,U_20,U_27,U_24] :
( icext(U_26,U_28)
| sP7(U_22,U_28,U_20,U_24)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) )
& ! [U_26,U_22,U_28,U_20,U_27,U_24] :
( icext(U_20,U_27)
| icext(U_22,U_27)
| icext(U_24,U_27)
| ~ icext(U_26,U_27)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) )
& ! [U_26,U_22,U_28,U_20,U_27,U_24] :
( ic(U_20)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) )
& ! [U_26,U_22,U_28,U_20,U_27,U_24] :
( ic(U_22)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) )
& ! [U_26,U_22,U_28,U_20,U_27,U_24] :
( ic(U_24)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) )
& ! [U_26,U_22,U_28,U_20,U_27,U_24] :
( ic(U_26)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) )
& ! [U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25] :
( iext(uri_owl_unionOf,U_26,U_25)
| sP10(U_26,U_22,U_21,U_20,U_23,U_24,U_25)
| sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25)
| ~ ic(U_20)
| ~ ic(U_22)
| ~ ic(U_24)
| ~ ic(U_26)
| ~ sP11(U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25) )
& ! [U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25] :
( sP8(U_26,U_22,U_28,U_20,U_27,U_24)
| ~ iext(uri_owl_unionOf,U_26,U_25)
| ~ sP11(U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25) )
& ! [U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25] :
( sP11(U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25)
| ~ iext(uri_rdf_rest,U_21,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_21,U_20)
| ~ iext(uri_rdf_rest,U_23,U_21)
| ~ iext(uri_rdf_first,U_23,U_22)
| ~ iext(uri_rdf_rest,U_25,U_23)
| ~ iext(uri_rdf_first,U_25,U_24) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP7,sP8,sP9,sP10,sP11])],[f_4_5]) ).
cnf(f_4_7,plain,
( sP11(U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25)
| ~ iext(uri_rdf_rest,U_21,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_21,U_20)
| ~ iext(uri_rdf_rest,U_23,U_21)
| ~ iext(uri_rdf_first,U_23,U_22)
| ~ iext(uri_rdf_rest,U_25,U_23)
| ~ iext(uri_rdf_first,U_25,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_8,plain,
( sP8(U_26,U_22,U_28,U_20,U_27,U_24)
| ~ iext(uri_owl_unionOf,U_26,U_25)
| ~ sP11(U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_9,plain,
( iext(uri_owl_unionOf,U_26,U_25)
| sP10(U_26,U_22,U_21,U_20,U_23,U_24,U_25)
| sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25)
| ~ ic(U_20)
| ~ ic(U_22)
| ~ ic(U_24)
| ~ ic(U_26)
| ~ sP11(U_26,U_22,U_28,U_21,U_20,U_27,U_23,U_24,U_25) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_10,plain,
( ic(U_26)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_11,plain,
( ic(U_24)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_12,plain,
( ic(U_22)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_13,plain,
( ic(U_20)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_14,plain,
( icext(U_20,U_27)
| icext(U_22,U_27)
| icext(U_24,U_27)
| ~ icext(U_26,U_27)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_15,plain,
( icext(U_26,U_28)
| sP7(U_22,U_28,U_20,U_24)
| ~ sP8(U_26,U_22,U_28,U_20,U_27,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_16,plain,
( ~ icext(U_24,U_28)
| ~ sP7(U_22,U_28,U_20,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_17,plain,
( ~ icext(U_22,U_28)
| ~ sP7(U_22,U_28,U_20,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_18,plain,
( ~ icext(U_20,U_28)
| ~ sP7(U_22,U_28,U_20,U_24) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_19,plain,
( icext(U_26,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_20,plain,
( ~ icext(U_24,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_21,plain,
( ~ icext(U_22,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_22,plain,
( ~ icext(U_20,sK3(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP9(U_26,U_22,U_21,U_20,U_23,U_24,U_25) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_23,plain,
( icext(U_20,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| icext(U_22,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| icext(U_24,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP10(U_26,U_22,U_21,U_20,U_23,U_24,U_25) ),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_24,plain,
( ~ icext(U_26,sK4(U_26,U_25,U_24,U_23,U_22,U_21,U_20))
| ~ sP10(U_26,U_22,U_21,U_20,U_23,U_24,U_25) ),
inference(clausify,[status(thm)],[f_4_6]) ).
fof(f_5_1,plain,
! [C1,C2] :
( ( iext(uri_rdfs_subClassOf,C1,C2)
| ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1) )
& ( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof]) ).
fof(f_5_2,plain,
! [U_34,U_33] :
( ( iext(uri_rdfs_subClassOf,U_34,U_33)
| ? [U_32] :
( ~ icext(U_33,U_32)
& icext(U_34,U_32) )
| ~ ic(U_33)
| ~ ic(U_34) )
& ( ( ! [U_31] :
( icext(U_33,U_31)
| ~ icext(U_34,U_31) )
& ic(U_33)
& ic(U_34) )
| ~ iext(uri_rdfs_subClassOf,U_34,U_33) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_38,U_36] :
( iext(uri_rdfs_subClassOf,U_38,U_36)
| ? [U_32] :
( ~ icext(U_36,U_32)
& icext(U_38,U_32) )
| ~ ic(U_36)
| ~ ic(U_38) )
& ! [U_37,U_35] :
( ( ! [U_31] :
( icext(U_35,U_31)
| ~ icext(U_37,U_31) )
& ic(U_35)
& ic(U_37) )
| ~ iext(uri_rdfs_subClassOf,U_37,U_35) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_38,U_36] :
( iext(uri_rdfs_subClassOf,U_38,U_36)
| ( ~ icext(U_36,sK5(U_38,U_36))
& icext(U_38,sK5(U_38,U_36)) )
| ~ ic(U_36)
| ~ ic(U_38) )
& ! [U_37,U_35] :
( ( ! [U_31] :
( icext(U_35,U_31)
| ~ icext(U_37,U_31) )
& ic(U_35)
& ic(U_37) )
| ~ iext(uri_rdfs_subClassOf,U_37,U_35) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_32,sK5(U_38,U_36))],[f_5_3]) ).
fof(f_5_5,plain,
( ! [U_38,U_36] :
( ~ icext(U_36,sK5(U_38,U_36))
| ~ sP13(U_38,U_36) )
& ! [U_38,U_36] :
( icext(U_38,sK5(U_38,U_36))
| ~ sP13(U_38,U_36) )
& ! [U_35,U_37,U_31] :
( icext(U_35,U_31)
| ~ icext(U_37,U_31)
| ~ sP12(U_35,U_37,U_31) )
& ! [U_35,U_37,U_31] :
( ic(U_35)
| ~ sP12(U_35,U_37,U_31) )
& ! [U_35,U_37,U_31] :
( ic(U_37)
| ~ sP12(U_35,U_37,U_31) )
& ! [U_38,U_36] :
( iext(uri_rdfs_subClassOf,U_38,U_36)
| sP13(U_38,U_36)
| ~ ic(U_36)
| ~ ic(U_38) )
& ! [U_35,U_37,U_31] :
( sP12(U_35,U_37,U_31)
| ~ iext(uri_rdfs_subClassOf,U_37,U_35) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP12,sP13])],[f_5_4]) ).
cnf(f_5_6,plain,
( sP12(U_35,U_37,U_31)
| ~ iext(uri_rdfs_subClassOf,U_37,U_35) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_7,plain,
( iext(uri_rdfs_subClassOf,U_38,U_36)
| sP13(U_38,U_36)
| ~ ic(U_36)
| ~ ic(U_38) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_8,plain,
( ic(U_37)
| ~ sP12(U_35,U_37,U_31) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_9,plain,
( ic(U_35)
| ~ sP12(U_35,U_37,U_31) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_10,plain,
( icext(U_35,U_31)
| ~ icext(U_37,U_31)
| ~ sP12(U_35,U_37,U_31) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_11,plain,
( icext(U_38,sK5(U_38,U_36))
| ~ sP13(U_38,U_36) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(f_5_12,plain,
( ~ icext(U_36,sK5(U_38,U_36))
| ~ sP13(U_38,U_36) ),
inference(clausify,[status(thm)],[f_5_5]) ).
fof(f_6_1,plain,
! [C1,C2] :
( ( iext(uri_owl_disjointWith,C1,C2)
| ? [X] :
( icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1) )
& ( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(fof_nnf,[status(thm)],[owl_eqdis_disjointwith]) ).
fof(f_6_2,plain,
! [U_42,U_41] :
( ( iext(uri_owl_disjointWith,U_42,U_41)
| ? [U_40] :
( icext(U_41,U_40)
& icext(U_42,U_40) )
| ~ ic(U_41)
| ~ ic(U_42) )
& ( ( ! [U_39] :
( ~ icext(U_41,U_39)
| ~ icext(U_42,U_39) )
& ic(U_41)
& ic(U_42) )
| ~ iext(uri_owl_disjointWith,U_42,U_41) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_46,U_44] :
( iext(uri_owl_disjointWith,U_46,U_44)
| ? [U_40] :
( icext(U_44,U_40)
& icext(U_46,U_40) )
| ~ ic(U_44)
| ~ ic(U_46) )
& ! [U_45,U_43] :
( ( ! [U_39] :
( ~ icext(U_43,U_39)
| ~ icext(U_45,U_39) )
& ic(U_43)
& ic(U_45) )
| ~ iext(uri_owl_disjointWith,U_45,U_43) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_46,U_44] :
( iext(uri_owl_disjointWith,U_46,U_44)
| ( icext(U_44,sK6(U_46,U_44))
& icext(U_46,sK6(U_46,U_44)) )
| ~ ic(U_44)
| ~ ic(U_46) )
& ! [U_45,U_43] :
( ( ! [U_39] :
( ~ icext(U_43,U_39)
| ~ icext(U_45,U_39) )
& ic(U_43)
& ic(U_45) )
| ~ iext(uri_owl_disjointWith,U_45,U_43) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_40,sK6(U_46,U_44))],[f_6_3]) ).
fof(f_6_5,plain,
( ! [U_44,U_46] :
( icext(U_44,sK6(U_46,U_44))
| ~ sP15(U_44,U_46) )
& ! [U_44,U_46] :
( icext(U_46,sK6(U_46,U_44))
| ~ sP15(U_44,U_46) )
& ! [U_39,U_45,U_43] :
( ~ icext(U_43,U_39)
| ~ icext(U_45,U_39)
| ~ sP14(U_39,U_45,U_43) )
& ! [U_39,U_45,U_43] :
( ic(U_43)
| ~ sP14(U_39,U_45,U_43) )
& ! [U_39,U_45,U_43] :
( ic(U_45)
| ~ sP14(U_39,U_45,U_43) )
& ! [U_44,U_46] :
( iext(uri_owl_disjointWith,U_46,U_44)
| sP15(U_44,U_46)
| ~ ic(U_44)
| ~ ic(U_46) )
& ! [U_39,U_45,U_43] :
( sP14(U_39,U_45,U_43)
| ~ iext(uri_owl_disjointWith,U_45,U_43) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP14,sP15])],[f_6_4]) ).
cnf(f_6_6,plain,
( sP14(U_39,U_45,U_43)
| ~ iext(uri_owl_disjointWith,U_45,U_43) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_7,plain,
( iext(uri_owl_disjointWith,U_46,U_44)
| sP15(U_44,U_46)
| ~ ic(U_44)
| ~ ic(U_46) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_8,plain,
( ic(U_45)
| ~ sP14(U_39,U_45,U_43) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_9,plain,
( ic(U_43)
| ~ sP14(U_39,U_45,U_43) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_10,plain,
( ~ icext(U_43,U_39)
| ~ icext(U_45,U_39)
| ~ sP14(U_39,U_45,U_43) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_11,plain,
( icext(U_46,sK6(U_46,U_44))
| ~ sP15(U_44,U_46) ),
inference(clausify,[status(thm)],[f_6_5]) ).
cnf(f_6_12,plain,
( icext(U_44,sK6(U_46,U_44))
| ~ sP15(U_44,U_46) ),
inference(clausify,[status(thm)],[f_6_5]) ).
fof(f_7_1,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(negate,[status(cth)],[testcase_conclusion_fullish_020_Logical_Complications]) ).
fof(f_7_2,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(definitional_conversion,[status(esa)],[f_7_1]) ).
cnf(f_7_3,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
? [BNODE_xs,BNODE_xc,BNODE_lu1,BNODE_lu2,BNODE_lu3,BNODE_li1,BNODE_li2] :
( iext(uri_owl_complementOf,BNODE_xc,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_li2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_li2,BNODE_xc)
& iext(uri_rdf_rest,BNODE_li1,BNODE_li2)
& iext(uri_rdf_first,BNODE_li1,uri_ex_c)
& iext(uri_owl_intersectionOf,BNODE_xs,BNODE_li1)
& iext(uri_rdfs_subClassOf,uri_ex_d,BNODE_xs)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,BNODE_lu3,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_lu3,uri_ex_c3)
& iext(uri_rdf_rest,BNODE_lu2,BNODE_lu3)
& iext(uri_rdf_first,BNODE_lu2,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_lu1,BNODE_lu2)
& iext(uri_rdf_first,BNODE_lu1,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,BNODE_lu1) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_020_Logical_Complications]) ).
fof(f_8_2,plain,
? [U_53,U_52,U_51,U_50,U_49,U_48,U_47] :
( iext(uri_owl_complementOf,U_52,uri_ex_c2)
& iext(uri_rdf_rest,U_47,uri_rdf_nil)
& iext(uri_rdf_first,U_47,U_52)
& iext(uri_rdf_rest,U_48,U_47)
& iext(uri_rdf_first,U_48,uri_ex_c)
& iext(uri_owl_intersectionOf,U_53,U_48)
& iext(uri_rdfs_subClassOf,uri_ex_d,U_53)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,U_49,uri_rdf_nil)
& iext(uri_rdf_first,U_49,uri_ex_c3)
& iext(uri_rdf_rest,U_50,U_49)
& iext(uri_rdf_first,U_50,uri_ex_c2)
& iext(uri_rdf_rest,U_51,U_50)
& iext(uri_rdf_first,U_51,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,U_51) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ? [U_53] :
( ? [U_52] :
( ? [U_48] :
( ? [U_47] :
( iext(uri_rdf_rest,U_47,uri_rdf_nil)
& iext(uri_rdf_first,U_47,U_52)
& iext(uri_rdf_rest,U_48,U_47) )
& iext(uri_rdf_first,U_48,uri_ex_c)
& iext(uri_owl_intersectionOf,U_53,U_48) )
& iext(uri_owl_complementOf,U_52,uri_ex_c2) )
& iext(uri_rdfs_subClassOf,uri_ex_d,U_53) )
& ? [U_51] :
( ? [U_50] :
( ? [U_49] :
( iext(uri_rdf_rest,U_49,uri_rdf_nil)
& iext(uri_rdf_first,U_49,uri_ex_c3)
& iext(uri_rdf_rest,U_50,U_49) )
& iext(uri_rdf_first,U_50,uri_ex_c2)
& iext(uri_rdf_rest,U_51,U_50) )
& iext(uri_rdf_first,U_51,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,U_51) )
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ? [U_53] :
( ? [U_52] :
( ? [U_48] :
( ? [U_47] :
( iext(uri_rdf_rest,U_47,uri_rdf_nil)
& iext(uri_rdf_first,U_47,U_52)
& iext(uri_rdf_rest,U_48,U_47) )
& iext(uri_rdf_first,U_48,uri_ex_c)
& iext(uri_owl_intersectionOf,U_53,U_48) )
& iext(uri_owl_complementOf,U_52,uri_ex_c2) )
& iext(uri_rdfs_subClassOf,uri_ex_d,U_53) )
& ? [U_50] :
( ? [U_49] :
( iext(uri_rdf_rest,U_49,uri_rdf_nil)
& iext(uri_rdf_first,U_49,uri_ex_c3)
& iext(uri_rdf_rest,U_50,U_49) )
& iext(uri_rdf_first,U_50,uri_ex_c2)
& iext(uri_rdf_rest,sK7,U_50) )
& iext(uri_rdf_first,sK7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK7)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_51,sK7)],[f_8_3]) ).
fof(f_8_5,plain,
( ? [U_53] :
( ? [U_52] :
( ? [U_48] :
( ? [U_47] :
( iext(uri_rdf_rest,U_47,uri_rdf_nil)
& iext(uri_rdf_first,U_47,U_52)
& iext(uri_rdf_rest,U_48,U_47) )
& iext(uri_rdf_first,U_48,uri_ex_c)
& iext(uri_owl_intersectionOf,U_53,U_48) )
& iext(uri_owl_complementOf,U_52,uri_ex_c2) )
& iext(uri_rdfs_subClassOf,uri_ex_d,U_53) )
& ? [U_49] :
( iext(uri_rdf_rest,U_49,uri_rdf_nil)
& iext(uri_rdf_first,U_49,uri_ex_c3)
& iext(uri_rdf_rest,sK8,U_49) )
& iext(uri_rdf_first,sK8,uri_ex_c2)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK7)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_50,sK8)],[f_8_4]) ).
fof(f_8_6,plain,
( ? [U_53] :
( ? [U_52] :
( ? [U_48] :
( ? [U_47] :
( iext(uri_rdf_rest,U_47,uri_rdf_nil)
& iext(uri_rdf_first,U_47,U_52)
& iext(uri_rdf_rest,U_48,U_47) )
& iext(uri_rdf_first,U_48,uri_ex_c)
& iext(uri_owl_intersectionOf,U_53,U_48) )
& iext(uri_owl_complementOf,U_52,uri_ex_c2) )
& iext(uri_rdfs_subClassOf,uri_ex_d,U_53) )
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_c3)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_c2)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK7)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_49,sK9)],[f_8_5]) ).
fof(f_8_7,plain,
( ? [U_52] :
( ? [U_48] :
( ? [U_47] :
( iext(uri_rdf_rest,U_47,uri_rdf_nil)
& iext(uri_rdf_first,U_47,U_52)
& iext(uri_rdf_rest,U_48,U_47) )
& iext(uri_rdf_first,U_48,uri_ex_c)
& iext(uri_owl_intersectionOf,sK10,U_48) )
& iext(uri_owl_complementOf,U_52,uri_ex_c2) )
& iext(uri_rdfs_subClassOf,uri_ex_d,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_c3)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_c2)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK7)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_53,sK10)],[f_8_6]) ).
fof(f_8_8,plain,
( ? [U_48] :
( ? [U_47] :
( iext(uri_rdf_rest,U_47,uri_rdf_nil)
& iext(uri_rdf_first,U_47,sK11)
& iext(uri_rdf_rest,U_48,U_47) )
& iext(uri_rdf_first,U_48,uri_ex_c)
& iext(uri_owl_intersectionOf,sK10,U_48) )
& iext(uri_owl_complementOf,sK11,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_c3)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_c2)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK7)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_52,sK11)],[f_8_7]) ).
fof(f_8_9,plain,
( ? [U_47] :
( iext(uri_rdf_rest,U_47,uri_rdf_nil)
& iext(uri_rdf_first,U_47,sK11)
& iext(uri_rdf_rest,sK12,U_47) )
& iext(uri_rdf_first,sK12,uri_ex_c)
& iext(uri_owl_intersectionOf,sK10,sK12)
& iext(uri_owl_complementOf,sK11,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_c3)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_c2)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK7)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_48,sK12)],[f_8_8]) ).
fof(f_8_10,plain,
( iext(uri_rdf_rest,sK13,uri_rdf_nil)
& iext(uri_rdf_first,sK13,sK11)
& iext(uri_rdf_rest,sK12,sK13)
& iext(uri_rdf_first,sK12,uri_ex_c)
& iext(uri_owl_intersectionOf,sK10,sK12)
& iext(uri_owl_complementOf,sK11,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_c3)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_c2)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK7)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_47,sK13)],[f_8_9]) ).
fof(f_8_11,plain,
( iext(uri_rdf_rest,sK13,uri_rdf_nil)
& iext(uri_rdf_first,sK13,sK11)
& iext(uri_rdf_rest,sK12,sK13)
& iext(uri_rdf_first,sK12,uri_ex_c)
& iext(uri_owl_intersectionOf,sK10,sK12)
& iext(uri_owl_complementOf,sK11,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_c3)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_c2)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK7)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1) ),
inference(definitional_conversion,[status(esa)],[f_8_10]) ).
cnf(f_8_12,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_13,plain,
iext(uri_owl_unionOf,uri_ex_c,sK7),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_14,plain,
iext(uri_rdf_first,sK7,uri_ex_c1),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_15,plain,
iext(uri_rdf_rest,sK7,sK8),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_16,plain,
iext(uri_rdf_first,sK8,uri_ex_c2),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_17,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_18,plain,
iext(uri_rdf_first,sK9,uri_ex_c3),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_19,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_20,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,sK10),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_21,plain,
iext(uri_owl_complementOf,sK11,uri_ex_c2),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_22,plain,
iext(uri_owl_intersectionOf,sK10,sK12),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_23,plain,
iext(uri_rdf_first,sK12,uri_ex_c),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_24,plain,
iext(uri_rdf_rest,sK12,sK13),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_25,plain,
iext(uri_rdf_first,sK13,sK11),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(f_8_26,plain,
iext(uri_rdf_rest,sK13,uri_rdf_nil),
inference(clausify,[status(thm)],[f_8_11]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 01:06:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 268.03/268.39 % SZS status Theorem for theBenchmark
% 268.03/268.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------