TSTP Solution File: SWB005+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB005+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:38:30 EDT 2023
% Result : Theorem 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 86 ( 16 unt; 0 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 205 ( 80 ~; 84 |; 26 &)
% ( 14 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 55 (; 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [X] :
( ir(X)
<=> icext(uri_rdfs_Resource,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [X] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,axiom,
! [X] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f562,plain,
! [S,P,O] :
( ~ iext(P,S,O)
| ip(P) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f563,plain,
! [P] :
( ! [S,O] : ~ iext(P,S,O)
| ip(P) ),
inference(miniscoping,[status(esa)],[f562]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ~ iext(X0,X1,X2)
| ip(X0) ),
inference(cnf_transformation,[status(esa)],[f563]) ).
fof(f565,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f577,plain,
! [P] :
( ( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) )
& ( iext(uri_rdf_type,P,uri_rdf_Property)
| ~ ip(P) ) ),
inference(NNF_transformation,[status(esa)],[f13]) ).
fof(f578,plain,
( ! [P] :
( ~ iext(uri_rdf_type,P,uri_rdf_Property)
| ip(P) )
& ! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
| ~ ip(P) ) ),
inference(miniscoping,[status(esa)],[f577]) ).
fof(f580,plain,
! [X0] :
( iext(uri_rdf_type,X0,uri_rdf_Property)
| ~ ip(X0) ),
inference(cnf_transformation,[status(esa)],[f578]) ).
fof(f592,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)],[f25]) ).
fof(f593,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)],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f593]) ).
fof(f595,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f593]) ).
fof(f633,plain,
! [X] :
( ( ~ ir(X)
| icext(uri_rdfs_Resource,X) )
& ( ir(X)
| ~ icext(uri_rdfs_Resource,X) ) ),
inference(NNF_transformation,[status(esa)],[f55]) ).
fof(f634,plain,
( ! [X] :
( ~ ir(X)
| icext(uri_rdfs_Resource,X) )
& ! [X] :
( ir(X)
| ~ icext(uri_rdfs_Resource,X) ) ),
inference(miniscoping,[status(esa)],[f633]) ).
fof(f635,plain,
! [X0] :
( ~ ir(X0)
| icext(uri_rdfs_Resource,X0) ),
inference(cnf_transformation,[status(esa)],[f634]) ).
fof(f733,plain,
! [X] :
( ( ~ ir(X)
| iext(uri_rdf_type,X,uri_rdfs_Resource) )
& ( ir(X)
| ~ iext(uri_rdf_type,X,uri_rdfs_Resource) ) ),
inference(NNF_transformation,[status(esa)],[f100]) ).
fof(f734,plain,
( ! [X] :
( ~ ir(X)
| iext(uri_rdf_type,X,uri_rdfs_Resource) )
& ! [X] :
( ir(X)
| ~ iext(uri_rdf_type,X,uri_rdfs_Resource) ) ),
inference(miniscoping,[status(esa)],[f733]) ).
fof(f735,plain,
! [X0] :
( ~ ir(X0)
| iext(uri_rdf_type,X0,uri_rdfs_Resource) ),
inference(cnf_transformation,[status(esa)],[f734]) ).
fof(f825,plain,
! [X] :
( ( ~ icext(uri_owl_ObjectProperty,X)
| ip(X) )
& ( icext(uri_owl_ObjectProperty,X)
| ~ ip(X) ) ),
inference(NNF_transformation,[status(esa)],[f147]) ).
fof(f826,plain,
( ! [X] :
( ~ icext(uri_owl_ObjectProperty,X)
| ip(X) )
& ! [X] :
( icext(uri_owl_ObjectProperty,X)
| ~ ip(X) ) ),
inference(miniscoping,[status(esa)],[f825]) ).
fof(f827,plain,
! [X0] :
( ~ icext(uri_owl_ObjectProperty,X0)
| ip(X0) ),
inference(cnf_transformation,[status(esa)],[f826]) ).
fof(f828,plain,
! [X0] :
( icext(uri_owl_ObjectProperty,X0)
| ~ ip(X0) ),
inference(cnf_transformation,[status(esa)],[f826]) ).
fof(f859,plain,
! [X] :
( ( ~ icext(uri_owl_Thing,X)
| ir(X) )
& ( icext(uri_owl_Thing,X)
| ~ ir(X) ) ),
inference(NNF_transformation,[status(esa)],[f163]) ).
fof(f860,plain,
( ! [X] :
( ~ icext(uri_owl_Thing,X)
| ir(X) )
& ! [X] :
( icext(uri_owl_Thing,X)
| ~ ir(X) ) ),
inference(miniscoping,[status(esa)],[f859]) ).
fof(f862,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[status(esa)],[f860]) ).
fof(f2405,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(pre_NNF_transformation,[status(esa)],[f560]) ).
fof(f2406,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(cnf_transformation,[status(esa)],[f2405]) ).
fof(f2407,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(cnf_transformation,[status(esa)],[f561]) ).
fof(f2499,plain,
( spl0_1
<=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
introduced(split_symbol_definition) ).
fof(f2501,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| spl0_1 ),
inference(component_clause,[status(thm)],[f2499]) ).
fof(f2502,plain,
( spl0_2
<=> iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
introduced(split_symbol_definition) ).
fof(f2504,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| spl0_2 ),
inference(component_clause,[status(thm)],[f2502]) ).
fof(f2505,plain,
( spl0_3
<=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
introduced(split_symbol_definition) ).
fof(f2507,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| spl0_3 ),
inference(component_clause,[status(thm)],[f2505]) ).
fof(f2508,plain,
( spl0_4
<=> iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
introduced(split_symbol_definition) ).
fof(f2510,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| spl0_4 ),
inference(component_clause,[status(thm)],[f2508]) ).
fof(f2511,plain,
( spl0_5
<=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
introduced(split_symbol_definition) ).
fof(f2513,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| spl0_5 ),
inference(component_clause,[status(thm)],[f2511]) ).
fof(f2514,plain,
( spl0_6
<=> iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
introduced(split_symbol_definition) ).
fof(f2515,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f2514]) ).
fof(f2516,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| spl0_6 ),
inference(component_clause,[status(thm)],[f2514]) ).
fof(f2517,plain,
( spl0_7
<=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
introduced(split_symbol_definition) ).
fof(f2519,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| spl0_7 ),
inference(component_clause,[status(thm)],[f2517]) ).
fof(f2520,plain,
( spl0_8
<=> iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
introduced(split_symbol_definition) ).
fof(f2522,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| spl0_8 ),
inference(component_clause,[status(thm)],[f2520]) ).
fof(f2523,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2406,f2499,f2502,f2505,f2508,f2511,f2514,f2517,f2520]) ).
fof(f2543,plain,
! [X0] : icext(uri_rdfs_Resource,X0),
inference(backward_subsumption_resolution,[status(thm)],[f635,f565]) ).
fof(f2565,plain,
( ~ icext(uri_owl_Thing,uri_ex_o)
| spl0_8 ),
inference(resolution,[status(thm)],[f595,f2522]) ).
fof(f2572,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(forward_subsumption_resolution,[status(thm)],[f862,f565]) ).
fof(f2573,plain,
( $false
| spl0_8 ),
inference(backward_subsumption_resolution,[status(thm)],[f2565,f2572]) ).
fof(f2574,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f2573]) ).
fof(f2575,plain,
( ~ icext(uri_rdfs_Resource,uri_ex_o)
| spl0_7 ),
inference(resolution,[status(thm)],[f2519,f595]) ).
fof(f2576,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f2575,f2543]) ).
fof(f2577,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f2576]) ).
fof(f2579,plain,
( ~ icext(uri_owl_ObjectProperty,uri_ex_p)
| spl0_6 ),
inference(resolution,[status(thm)],[f2516,f595]) ).
fof(f2580,plain,
( ~ ip(uri_ex_p)
| spl0_6 ),
inference(resolution,[status(thm)],[f2579,f828]) ).
fof(f2582,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[f2407,f564]) ).
fof(f2583,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f2582,f2580]) ).
fof(f2584,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f2583]) ).
fof(f2585,plain,
( ~ ip(uri_ex_p)
| spl0_5 ),
inference(resolution,[status(thm)],[f2513,f580]) ).
fof(f2588,plain,
( icext(uri_owl_ObjectProperty,uri_ex_p)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f2515,f594]) ).
fof(f2589,plain,
( ip(uri_ex_p)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f2588,f827]) ).
fof(f2590,plain,
( $false
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f2589,f2585]) ).
fof(f2591,plain,
( spl0_5
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f2590]) ).
fof(f2592,plain,
( ~ icext(uri_owl_Thing,uri_ex_p)
| spl0_4 ),
inference(resolution,[status(thm)],[f2510,f595]) ).
fof(f2593,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f2592,f2572]) ).
fof(f2594,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2597,plain,
! [X0] : iext(uri_rdf_type,X0,uri_rdfs_Resource),
inference(forward_subsumption_resolution,[status(thm)],[f735,f565]) ).
fof(f2611,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2507,f2597]) ).
fof(f2612,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2613,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2501,f2597]) ).
fof(f2614,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f2613]) ).
fof(f2616,plain,
( ~ icext(uri_owl_Thing,uri_ex_s)
| spl0_2 ),
inference(resolution,[status(thm)],[f2504,f595]) ).
fof(f2617,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2616,f2572]) ).
fof(f2618,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2619,plain,
$false,
inference(sat_refutation,[status(thm)],[f2523,f2574,f2577,f2584,f2591,f2594,f2612,f2614,f2618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB005+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:57:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.38 % Drodi V3.5.1
% 0.19/0.39 % Refutation found
% 0.19/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.38/0.62 % Elapsed time: 0.066878 seconds
% 0.38/0.62 % CPU time: 0.125289 seconds
% 0.38/0.62 % Memory used: 27.199 MB
%------------------------------------------------------------------------------