TSTP Solution File: SWB023+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 : 300s
% DateTime : Wed May 31 12:38:38 EDT 2023
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 15 unt; 0 def)
% Number of atoms : 203 ( 38 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 227 ( 80 ~; 81 |; 54 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-3 aty)
% Number of variables : 97 (; 85 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,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 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ip(P)
& ! [X,Y1,Y2] :
( ( iext(P,X,Y1)
& iext(P,X,Y2) )
=> Y1 = Y2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X,C] :
( ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) )
& ( iext(uri_rdf_type,X,C)
| ~ icext(C,X) ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
( ! [X,C] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) )
& ! [X,C] :
( iext(uri_rdf_type,X,C)
| ~ icext(C,X) ) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f12,plain,
! [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 ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [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 )
& ( icext(Z,X)
| X != A1 ) ) ) )
& ( iext(uri_owl_oneOf,Z,S1)
| ~ ic(Z)
| ? [X] :
( ( ~ icext(Z,X)
| X != A1 )
& ( icext(Z,X)
| X = A1 ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f12]) ).
fof(f14,plain,
! [S1,A1] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ! [Z] :
( ~ iext(uri_owl_oneOf,Z,S1)
| ( ic(Z)
& ! [X] :
( ~ icext(Z,X)
| X = A1 )
& ! [X] :
( icext(Z,X)
| X != A1 ) ) )
& ! [Z] :
( iext(uri_owl_oneOf,Z,S1)
| ~ ic(Z)
| ? [X] :
( ( ~ icext(Z,X)
| X != A1 )
& ( icext(Z,X)
| X = A1 ) ) ) ) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f15,plain,
! [S1,A1] :
( ~ iext(uri_rdf_first,S1,A1)
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ( ! [Z] :
( ~ iext(uri_owl_oneOf,Z,S1)
| ( ic(Z)
& ! [X] :
( ~ icext(Z,X)
| X = A1 )
& ! [X] :
( icext(Z,X)
| X != A1 ) ) )
& ! [Z] :
( iext(uri_owl_oneOf,Z,S1)
| ~ ic(Z)
| ( ( ~ icext(Z,sk0_0(Z,A1,S1))
| sk0_0(Z,A1,S1) != A1 )
& ( icext(Z,sk0_0(Z,A1,S1))
| sk0_0(Z,A1,S1) = A1 ) ) ) ) ),
inference(skolemization,[status(esa)],[f14]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ icext(X2,X3)
| X3 = X1 ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f21,plain,
! [P] :
( icext(uri_owl_FunctionalProperty,P)
<=> ( ip(P)
& ! [X,Y1,Y2] :
( ~ iext(P,X,Y1)
| ~ iext(P,X,Y2)
| Y1 = Y2 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
! [P] :
( ( ~ icext(uri_owl_FunctionalProperty,P)
| ( ip(P)
& ! [X,Y1,Y2] :
( ~ iext(P,X,Y1)
| ~ iext(P,X,Y2)
| Y1 = Y2 ) ) )
& ( icext(uri_owl_FunctionalProperty,P)
| ~ ip(P)
| ? [X,Y1,Y2] :
( iext(P,X,Y1)
& iext(P,X,Y2)
& Y1 != Y2 ) ) ),
inference(NNF_transformation,[status(esa)],[f21]) ).
fof(f23,plain,
( ! [P] :
( ~ icext(uri_owl_FunctionalProperty,P)
| ( ip(P)
& ! [Y1,Y2] :
( ! [X] :
( ~ iext(P,X,Y1)
| ~ iext(P,X,Y2) )
| Y1 = Y2 ) ) )
& ! [P] :
( icext(uri_owl_FunctionalProperty,P)
| ~ ip(P)
| ? [Y1,Y2] :
( ? [X] :
( iext(P,X,Y1)
& iext(P,X,Y2) )
& Y1 != Y2 ) ) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f24,plain,
( ! [P] :
( ~ icext(uri_owl_FunctionalProperty,P)
| ( ip(P)
& ! [Y1,Y2] :
( ! [X] :
( ~ iext(P,X,Y1)
| ~ iext(P,X,Y2) )
| Y1 = Y2 ) ) )
& ! [P] :
( icext(uri_owl_FunctionalProperty,P)
| ~ ip(P)
| ( iext(P,sk0_3(P),sk0_1(P))
& iext(P,sk0_3(P),sk0_2(P))
& sk0_1(P) != sk0_2(P) ) ) ),
inference(skolemization,[status(esa)],[f23]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ~ icext(uri_owl_FunctionalProperty,X0)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f30,plain,
! [X,Y] :
( ( ~ iext(uri_owl_sameAs,X,Y)
| X = Y )
& ( iext(uri_owl_sameAs,X,Y)
| X != Y ) ),
inference(NNF_transformation,[status(esa)],[f4]) ).
fof(f31,plain,
( ! [X,Y] :
( ~ iext(uri_owl_sameAs,X,Y)
| X = Y )
& ! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
| X != Y ) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f33,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f34,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f35,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f36,plain,
? [BNODE_l] :
( ? [BNODE_o] :
( 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) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f37,plain,
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,sk0_5)
& iext(uri_rdf_type,sk0_5,uri_owl_Class)
& iext(uri_owl_oneOf,sk0_5,sk0_4)
& iext(uri_rdf_first,sk0_4,uri_ex_u)
& iext(uri_rdf_first,sk0_4,uri_ex_v)
& iext(uri_rdf_rest,sk0_4,uri_rdf_nil) ),
inference(skolemization,[status(esa)],[f36]) ).
fof(f38,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f39,plain,
iext(uri_rdf_type,uri_ex_w,sk0_5),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f41,plain,
iext(uri_owl_oneOf,sk0_5,sk0_4),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f42,plain,
iext(uri_rdf_first,sk0_4,uri_ex_u),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f43,plain,
iext(uri_rdf_first,sk0_4,uri_ex_v),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f44,plain,
iext(uri_rdf_rest,sk0_4,uri_rdf_nil),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f45,plain,
( spl0_0
<=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
introduced(split_symbol_definition) ).
fof(f47,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| spl0_0 ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f48,plain,
( spl0_1
<=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
introduced(split_symbol_definition) ).
fof(f50,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| spl0_1 ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f51,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f35,f45,f48]) ).
fof(f53,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f33]) ).
fof(f54,plain,
icext(sk0_5,uri_ex_w),
inference(resolution,[status(thm)],[f10,f39]) ).
fof(f55,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(resolution,[status(thm)],[f38,f10]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_first,sk0_4,X0)
| ~ iext(uri_owl_oneOf,X1,sk0_4)
| ~ icext(X1,X2)
| X2 = X0 ),
inference(resolution,[status(thm)],[f17,f44]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X0,X2)
| X1 = X2 ),
inference(resolution,[status(thm)],[f26,f55]) ).
fof(f68,plain,
! [X0] :
( ~ iext(uri_rdf_first,sk0_4,X0)
| X0 = uri_ex_v ),
inference(resolution,[status(thm)],[f67,f43]) ).
fof(f70,plain,
uri_ex_u = uri_ex_v,
inference(resolution,[status(thm)],[f68,f42]) ).
fof(f86,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sk0_4,X0)
| ~ icext(sk0_5,X1)
| X1 = X0 ),
inference(resolution,[status(thm)],[f66,f41]) ).
fof(f87,plain,
! [X0] :
( ~ iext(uri_rdf_first,sk0_4,X0)
| uri_ex_w = X0 ),
inference(resolution,[status(thm)],[f86,f54]) ).
fof(f88,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[status(thm)],[f87,f42]) ).
fof(f90,plain,
uri_ex_w = uri_ex_v,
inference(backward_demodulation,[status(thm)],[f88,f70]) ).
fof(f94,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f88,f47]) ).
fof(f95,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f94,f53]) ).
fof(f96,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f95]) ).
fof(f97,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w)
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f90,f50]) ).
fof(f98,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f97,f53]) ).
fof(f99,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f98]) ).
fof(f100,plain,
$false,
inference(sat_refutation,[status(thm)],[f51,f96,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.28 % Computer : n001.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue May 30 11:11:30 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Drodi V3.5.1
% 0.09/0.30 % Refutation found
% 0.09/0.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.51 % Elapsed time: 0.012155 seconds
% 0.13/0.51 % CPU time: 0.011532 seconds
% 0.13/0.51 % Memory used: 2.911 MB
%------------------------------------------------------------------------------