TSTP Solution File: SWB023+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 19:15:27 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 110 ( 40 unt; 0 def)
% Number of atoms : 297 ( 62 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 329 ( 142 ~; 112 |; 52 &)
% ( 19 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 70 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ).
fof(owl_enum_class_001,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_first,S1,A1)
& iext(uri_rdf_rest,S1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> X = A1 ) ) ) ) ).
fof(owl_char_functional,axiom,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ip(P)
& ! [X,Y1,Y2] :
( ( iext(P,X,Y1)
& iext(P,X,Y2) )
=> Y1 = Y2 ) ) ) ).
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ) ).
fof(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ) ).
fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
? [BNODE_o,BNODE_l] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,BNODE_o)
& iext(uri_rdf_type,BNODE_o,uri_owl_Class)
& iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ) ).
fof(subgoal_0,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(strip,[],[testcase_conclusion_fullish_023_Unique_List_Components]) ).
fof(subgoal_1,plain,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(strip,[],[testcase_conclusion_fullish_023_Unique_List_Components]) ).
fof(negate_0_0,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [BNODE_l,BNODE_o] :
( iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& 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(canonicalize,[],[testcase_premise_fullish_023_Unique_List_Components]) ).
fof(normalize_0_2,plain,
( iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_o,skolemFOFtoCNF_BNODE_l)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_v)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil)
& iext(uri_rdf_type,skolemFOFtoCNF_BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_o),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_5,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_o,skolemFOFtoCNF_BNODE_l),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_10,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_11,plain,
! [A1,S1,Z] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ~ iext(uri_owl_oneOf,Z,S1)
<=> ( ~ ic(Z)
| ? [X] :
( X != A1
<=> icext(Z,X) ) ) ) ),
inference(canonicalize,[],[owl_enum_class_001]) ).
fof(normalize_0_12,plain,
! [A1,S1,Z] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ~ iext(uri_owl_oneOf,Z,S1)
<=> ( ~ ic(Z)
| ? [X] :
( X != A1
<=> icext(Z,X) ) ) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A1,S1,X,Z] :
( ( ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ic(Z) )
& ( X != A1
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| icext(Z,X) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 )
& ( skolemFOFtoCNF_X(A1,Z) != A1
| ~ ic(Z)
| ~ icext(Z,skolemFOFtoCNF_X(A1,Z))
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| iext(uri_owl_oneOf,Z,S1) )
& ( ~ ic(Z)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| skolemFOFtoCNF_X(A1,Z) = A1
| icext(Z,skolemFOFtoCNF_X(A1,Z))
| iext(uri_owl_oneOf,Z,S1) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A1,S1,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[owl_eqdis_sameas]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( X != Y
| iext(uri_owl_sameAs,X,Y) ),
inference(conjunct,[],[normalize_0_17]) ).
cnf(refute_0_0,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_o),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_o)
| icext(skolemFOFtoCNF_BNODE_o,uri_ex_w) ),
inference(subst,[],[refute_0_2:[bind(C,$fot(skolemFOFtoCNF_BNODE_o)),bind(X,$fot(uri_ex_w))]]) ).
cnf(refute_0_4,plain,
icext(skolemFOFtoCNF_BNODE_o,uri_ex_w),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_o) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_o,skolemFOFtoCNF_BNODE_l),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_oneOf,Z,S1)
| ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| X = A1 ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_9,plain,
( ~ icext(X_38,X_37)
| ~ iext(uri_owl_oneOf,X_38,skolemFOFtoCNF_BNODE_l)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_35)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil)
| X_37 = X_35 ),
inference(subst,[],[refute_0_8:[bind(A1,$fot(X_35)),bind(S1,$fot(skolemFOFtoCNF_BNODE_l)),bind(X,$fot(X_37)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_10,plain,
( ~ icext(X_38,X_37)
| ~ iext(uri_owl_oneOf,X_38,skolemFOFtoCNF_BNODE_l)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_35)
| X_37 = X_35 ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ icext(X_41,X_40)
| ~ iext(uri_owl_oneOf,X_41,skolemFOFtoCNF_BNODE_l)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u)
| X_40 = uri_ex_u ),
inference(subst,[],[refute_0_10:[bind(X_35,$fot(uri_ex_u)),bind(X_37,$fot(X_40)),bind(X_38,$fot(X_41))]]) ).
cnf(refute_0_12,plain,
( ~ icext(X_41,X_40)
| ~ iext(uri_owl_oneOf,X_41,skolemFOFtoCNF_BNODE_l)
| X_40 = uri_ex_u ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u) )],[refute_0_6,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ icext(skolemFOFtoCNF_BNODE_o,X_42)
| ~ iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_o,skolemFOFtoCNF_BNODE_l)
| X_42 = uri_ex_u ),
inference(subst,[],[refute_0_12:[bind(X_40,$fot(X_42)),bind(X_41,$fot(skolemFOFtoCNF_BNODE_o))]]) ).
cnf(refute_0_14,plain,
( ~ icext(skolemFOFtoCNF_BNODE_o,X_42)
| X_42 = uri_ex_u ),
inference(resolve,[$cnf( iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_o,skolemFOFtoCNF_BNODE_l) )],[refute_0_5,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ icext(skolemFOFtoCNF_BNODE_o,uri_ex_w)
| uri_ex_w = uri_ex_u ),
inference(subst,[],[refute_0_14:[bind(X_42,$fot(uri_ex_w))]]) ).
cnf(refute_0_16,plain,
uri_ex_w = uri_ex_u,
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_o,uri_ex_w) )],[refute_0_4,refute_0_15]) ).
cnf(refute_0_17,plain,
( uri_ex_w != uri_ex_u
| ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u)
| iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
introduced(tautology,[equality,[$cnf( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),[1],$fot(uri_ex_u)]]) ).
cnf(refute_0_18,plain,
( ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u)
| iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(resolve,[$cnf( $equal(uri_ex_w,uri_ex_u) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) )],[refute_0_18,refute_0_0]) ).
cnf(refute_0_20,plain,
( X != Y
| iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_21,plain,
( Y != Y
| iext(uri_owl_sameAs,Y,Y) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(Y))]]) ).
cnf(refute_0_22,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_23,plain,
iext(uri_owl_sameAs,Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(subst,[],[refute_0_23:[bind(Y,$fot(uri_ex_u))]]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_u,uri_ex_u) )],[refute_0_24,refute_0_19]) ).
fof(negate_1_0,plain,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_3,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[owl_eqdis_sameas]) ).
fof(normalize_1_4,plain,
! [X,Y] :
( X != Y
<=> ~ iext(uri_owl_sameAs,X,Y) ),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ) ),
inference(clausify,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [X,Y] :
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
? [BNODE_l,BNODE_o] :
( iext(uri_owl_oneOf,BNODE_o,BNODE_l)
& iext(uri_rdf_first,BNODE_l,uri_ex_u)
& iext(uri_rdf_first,BNODE_l,uri_ex_v)
& iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& 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(canonicalize,[],[testcase_premise_fullish_023_Unique_List_Components]) ).
fof(normalize_1_8,plain,
( iext(uri_owl_oneOf,skolemFOFtoCNF_BNODE_o,skolemFOFtoCNF_BNODE_l)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_v)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l,uri_rdf_nil)
& iext(uri_rdf_type,skolemFOFtoCNF_BNODE_o,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_o)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_v),
inference(conjunct,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u),
inference(conjunct,[],[normalize_1_8]) ).
fof(normalize_1_11,plain,
! [P] :
( ~ icext(uri_owl_FunctionalProperty,P)
<=> ( ~ ip(P)
| ? [X,Y1,Y2] :
( Y1 != Y2
& iext(P,X,Y1)
& iext(P,X,Y2) ) ) ),
inference(canonicalize,[],[owl_char_functional]) ).
fof(normalize_1_12,plain,
! [P] :
( ~ icext(uri_owl_FunctionalProperty,P)
<=> ( ~ ip(P)
| ? [X,Y1,Y2] :
( Y1 != Y2
& iext(P,X,Y1)
& iext(P,X,Y2) ) ) ),
inference(specialize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
! [P,X,Y1,Y2] :
( ( ~ icext(uri_owl_FunctionalProperty,P)
| ip(P) )
& ( skolemFOFtoCNF_Y1(P) != skolemFOFtoCNF_Y2(P)
| ~ ip(P)
| icext(uri_owl_FunctionalProperty,P) )
& ( ~ ip(P)
| icext(uri_owl_FunctionalProperty,P)
| iext(P,skolemFOFtoCNF_X_1(P),skolemFOFtoCNF_Y1(P)) )
& ( ~ ip(P)
| icext(uri_owl_FunctionalProperty,P)
| iext(P,skolemFOFtoCNF_X_1(P),skolemFOFtoCNF_Y2(P)) )
& ( ~ icext(uri_owl_FunctionalProperty,P)
| ~ iext(P,X,Y1)
| ~ iext(P,X,Y2)
| Y1 = Y2 ) ),
inference(clausify,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [P,X,Y1,Y2] :
( ~ icext(uri_owl_FunctionalProperty,P)
| ~ iext(P,X,Y1)
| ~ iext(P,X,Y2)
| Y1 = Y2 ),
inference(conjunct,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(conjunct,[],[normalize_1_8]) ).
fof(normalize_1_16,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_1_17,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_1_17]) ).
fof(normalize_1_19,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(conjunct,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
! [X,Y] :
( X != Y
| iext(uri_owl_sameAs,X,Y) ),
inference(conjunct,[],[normalize_1_5]) ).
cnf(refute_1_0,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_2,plain,
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_3,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| uri_ex_w = uri_ex_u ),
inference(subst,[],[refute_1_2:[bind(X,$fot(uri_ex_w)),bind(Y,$fot(uri_ex_u))]]) ).
cnf(refute_1_4,plain,
uri_ex_w = uri_ex_u,
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) )],[refute_1_1,refute_1_3]) ).
cnf(refute_1_5,plain,
( uri_ex_w != uri_ex_u
| ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_v)
| iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
introduced(tautology,[equality,[$cnf( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),[1],$fot(uri_ex_u)]]) ).
cnf(refute_1_6,plain,
( ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_v)
| iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(resolve,[$cnf( $equal(uri_ex_w,uri_ex_u) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_v),
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) )],[refute_1_6,refute_1_0]) ).
cnf(refute_1_8,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_v),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_10,plain,
( ~ icext(uri_owl_FunctionalProperty,P)
| ~ iext(P,X,Y1)
| ~ iext(P,X,Y2)
| Y1 = Y2 ),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_11,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_rdf_first)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_72)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u)
| uri_ex_u = X_72 ),
inference(subst,[],[refute_1_10:[bind(P,$fot(uri_rdf_first)),bind(X,$fot(skolemFOFtoCNF_BNODE_l)),bind(Y1,$fot(uri_ex_u)),bind(Y2,$fot(X_72))]]) ).
cnf(refute_1_12,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_rdf_first)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_72)
| uri_ex_u = X_72 ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_u) )],[refute_1_9,refute_1_11]) ).
cnf(refute_1_13,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_14,plain,
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_15,plain,
( ~ iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
| icext(uri_owl_FunctionalProperty,uri_rdf_first) ),
inference(subst,[],[refute_1_14:[bind(C,$fot(uri_owl_FunctionalProperty)),bind(X,$fot(uri_rdf_first))]]) ).
cnf(refute_1_16,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) )],[refute_1_13,refute_1_15]) ).
cnf(refute_1_17,plain,
( ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,X_72)
| uri_ex_u = X_72 ),
inference(resolve,[$cnf( icext(uri_owl_FunctionalProperty,uri_rdf_first) )],[refute_1_16,refute_1_12]) ).
cnf(refute_1_18,plain,
( ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_v)
| uri_ex_u = uri_ex_v ),
inference(subst,[],[refute_1_17:[bind(X_72,$fot(uri_ex_v))]]) ).
cnf(refute_1_19,plain,
uri_ex_u = uri_ex_v,
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l,uri_ex_v) )],[refute_1_8,refute_1_18]) ).
cnf(refute_1_20,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_1_21,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_1_22,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_1_20,refute_1_21]) ).
cnf(refute_1_23,plain,
( uri_ex_u != uri_ex_v
| uri_ex_v = uri_ex_u ),
inference(subst,[],[refute_1_22:[bind(X0,$fot(uri_ex_u)),bind(Y0,$fot(uri_ex_v))]]) ).
cnf(refute_1_24,plain,
uri_ex_v = uri_ex_u,
inference(resolve,[$cnf( $equal(uri_ex_u,uri_ex_v) )],[refute_1_19,refute_1_23]) ).
cnf(refute_1_25,plain,
( uri_ex_v != uri_ex_u
| ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u)
| iext(uri_owl_sameAs,uri_ex_u,uri_ex_v) ),
introduced(tautology,[equality,[$cnf( ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_v) ),[2],$fot(uri_ex_u)]]) ).
cnf(refute_1_26,plain,
( ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u)
| iext(uri_owl_sameAs,uri_ex_u,uri_ex_v) ),
inference(resolve,[$cnf( $equal(uri_ex_v,uri_ex_u) )],[refute_1_24,refute_1_25]) ).
cnf(refute_1_27,plain,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_u,uri_ex_v) )],[refute_1_26,refute_1_7]) ).
cnf(refute_1_28,plain,
( X != Y
| iext(uri_owl_sameAs,X,Y) ),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_29,plain,
( Y != Y
| iext(uri_owl_sameAs,Y,Y) ),
inference(subst,[],[refute_1_28:[bind(X,$fot(Y))]]) ).
cnf(refute_1_30,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_1_31,plain,
iext(uri_owl_sameAs,Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_1_30,refute_1_29]) ).
cnf(refute_1_32,plain,
iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
inference(subst,[],[refute_1_31:[bind(Y,$fot(uri_ex_u))]]) ).
cnf(refute_1_33,plain,
$false,
inference(resolve,[$cnf( iext(uri_owl_sameAs,uri_ex_u,uri_ex_u) )],[refute_1_32,refute_1_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 03:30:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.38
%------------------------------------------------------------------------------