%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB005+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:37:01 PM UTC 2026
% Result : Theorem 0.10s 0.63s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 84 ( 15 unt; 8 def)
% Number of atoms : 207 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 202 ( 79 ~; 82 |; 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 : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,P,O] :
( iext(P,S,O)
=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [X] :
( ir(X)
<=> icext(uri_rdfs_Resource,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [X] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f147,axiom,
! [X] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f562,plain,
! [S,P,O] :
( ip(P)
| ~ iext(P,S,O) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f563,plain,
! [P] :
( ip(P)
| ! [S,O] : ~ iext(P,S,O) ),
inference(miniscoping,[status(thm)],[f562]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ip(X0)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f563]) ).
fof(f565,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f577,plain,
! [P] :
( ( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) )
& ( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f578,plain,
( ! [P] :
( ~ ip(P)
| iext(uri_rdf_type,P,uri_rdf_Property) )
& ! [P] :
( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(miniscoping,[status(thm)],[f577]) ).
fof(f580,plain,
! [X0] :
( ~ ip(X0)
| iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(cnf_transformation,[status(thm)],[f578]) ).
fof(f592,plain,
! [X,C] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(NNF_transformation,[status(thm)],[f25]) ).
fof(f593,plain,
( ! [X,C] :
( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ! [X,C] :
( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(miniscoping,[status(thm)],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f633,plain,
! [X] :
( ( ~ icext(uri_rdfs_Resource,X)
| ir(X) )
& ( icext(uri_rdfs_Resource,X)
| ~ ir(X) ) ),
inference(NNF_transformation,[status(thm)],[f55]) ).
fof(f634,plain,
( ! [X] :
( ~ icext(uri_rdfs_Resource,X)
| ir(X) )
& ! [X] :
( icext(uri_rdfs_Resource,X)
| ~ ir(X) ) ),
inference(miniscoping,[status(thm)],[f633]) ).
fof(f635,plain,
! [X0] :
( icext(uri_rdfs_Resource,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f733,plain,
! [X] :
( ( ~ iext(uri_rdf_type,X,uri_rdfs_Resource)
| ir(X) )
& ( iext(uri_rdf_type,X,uri_rdfs_Resource)
| ~ ir(X) ) ),
inference(NNF_transformation,[status(thm)],[f100]) ).
fof(f734,plain,
( ! [X] :
( ~ iext(uri_rdf_type,X,uri_rdfs_Resource)
| ir(X) )
& ! [X] :
( iext(uri_rdf_type,X,uri_rdfs_Resource)
| ~ ir(X) ) ),
inference(miniscoping,[status(thm)],[f733]) ).
fof(f735,plain,
! [X0] :
( iext(uri_rdf_type,X0,uri_rdfs_Resource)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f825,plain,
! [X] :
( ( ~ ip(X)
| icext(uri_owl_ObjectProperty,X) )
& ( ip(X)
| ~ icext(uri_owl_ObjectProperty,X) ) ),
inference(NNF_transformation,[status(thm)],[f147]) ).
fof(f826,plain,
( ! [X] :
( ~ ip(X)
| icext(uri_owl_ObjectProperty,X) )
& ! [X] :
( ip(X)
| ~ icext(uri_owl_ObjectProperty,X) ) ),
inference(miniscoping,[status(thm)],[f825]) ).
fof(f827,plain,
! [X0] :
( ip(X0)
| ~ icext(uri_owl_ObjectProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f826]) ).
fof(f828,plain,
! [X0] :
( ~ ip(X0)
| icext(uri_owl_ObjectProperty,X0) ),
inference(cnf_transformation,[status(thm)],[f826]) ).
fof(f859,plain,
! [X] :
( ( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(NNF_transformation,[status(thm)],[f163]) ).
fof(f860,plain,
( ! [X] :
( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ! [X] :
( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(miniscoping,[status(thm)],[f859]) ).
fof(f862,plain,
! [X0] :
( ~ ir(X0)
| icext(uri_owl_Thing,X0) ),
inference(cnf_transformation,[status(thm)],[f860]) ).
fof(f2405,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(pre_NNF_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(cnf_transformation,[status(thm)],[f2405]) ).
fof(f2407,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2515,definition,
( sQ1_spl
<=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f2517,plain,
( sQ1_spl
| ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(component_clause,[status(thm)],[f2515]) ).
fof(f2518,definition,
( sQ2_spl
<=> iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f2520,plain,
( sQ2_spl
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(component_clause,[status(thm)],[f2518]) ).
fof(f2521,definition,
( sQ3_spl
<=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f2523,plain,
( sQ3_spl
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(component_clause,[status(thm)],[f2521]) ).
fof(f2524,definition,
( sQ4_spl
<=> iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f2526,plain,
( sQ4_spl
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
inference(component_clause,[status(thm)],[f2524]) ).
fof(f2527,definition,
( sQ5_spl
<=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f2529,plain,
( sQ5_spl
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(component_clause,[status(thm)],[f2527]) ).
fof(f2530,definition,
( sQ6_spl
<=> iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f2532,plain,
( sQ6_spl
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(component_clause,[status(thm)],[f2530]) ).
fof(f2533,definition,
( sQ7_spl
<=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f2535,plain,
( sQ7_spl
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
inference(component_clause,[status(thm)],[f2533]) ).
fof(f2536,definition,
( sQ8_spl
<=> iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f2538,plain,
( sQ8_spl
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(component_clause,[status(thm)],[f2536]) ).
fof(f2539,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2406,f2515,f2518,f2521,f2524,f2527,f2530,f2533,f2536]) ).
fof(f2556,plain,
! [X0] : icext(uri_rdfs_Resource,X0),
inference(forward_subsumption_resolution,[status(thm)],[f635,f565]) ).
fof(f2557,plain,
( sQ8_spl
| ~ icext(uri_owl_Thing,uri_ex_o) ),
inference(resolution,[status(thm)],[f595,f2538]) ).
fof(f2559,plain,
( sQ8_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2557,f2560]) ).
fof(f2560,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(forward_subsumption_resolution,[status(thm)],[f862,f565]) ).
fof(f2561,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f2559]) ).
fof(f2562,plain,
( sQ7_spl
| ~ icext(uri_rdfs_Resource,uri_ex_o) ),
inference(resolution,[status(thm)],[f2535,f595]) ).
fof(f2563,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2562,f2556]) ).
fof(f2564,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f2563]) ).
fof(f2565,plain,
( sQ6_spl
| ~ icext(uri_owl_ObjectProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[f2532,f595]) ).
fof(f2566,plain,
( sQ6_spl
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[f2565,f828]) ).
fof(f2570,plain,
! [X0,X1] :
( sQ6_spl
| ~ iext(uri_ex_p,X0,X1) ),
inference(resolution,[status(thm)],[f2566,f564]) ).
fof(f2574,plain,
! [X0] : iext(uri_rdf_type,X0,uri_rdfs_Resource),
inference(forward_subsumption_resolution,[status(thm)],[f735,f565]) ).
fof(f2575,plain,
( sQ6_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2407,f2570]) ).
fof(f2576,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2577,plain,
( sQ5_spl
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[f2529,f580]) ).
fof(f2580,plain,
( sQ5_spl
| ~ icext(uri_owl_ObjectProperty,uri_ex_p) ),
inference(resolution,[status(thm)],[f2577,f827]) ).
fof(f2586,plain,
( sQ5_spl
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(resolution,[status(thm)],[f2580,f594]) ).
fof(f2587,plain,
( sQ5_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2586,f2530,f2527]) ).
fof(f2588,plain,
( sQ4_spl
| ~ icext(uri_owl_Thing,uri_ex_p) ),
inference(resolution,[status(thm)],[f2526,f595]) ).
fof(f2589,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2588,f2560]) ).
fof(f2590,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f2589]) ).
fof(f2591,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2523,f2574]) ).
fof(f2592,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2591]) ).
fof(f2593,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2517,f2574]) ).
fof(f2594,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2595,plain,
( sQ2_spl
| ~ icext(uri_owl_Thing,uri_ex_s) ),
inference(resolution,[status(thm)],[f2520,f595]) ).
fof(f2596,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2595,f2560]) ).
fof(f2597,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f2596]) ).
fof(f2598,plain,
$false,
inference(sat_refutation,[status(thm)],[f2539,f2561,f2564,f2576,f2587,f2590,f2592,f2594,f2597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB005+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n019.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 07:37:20 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.61 % Drodi V4.1.1
% 0.10/0.63 % Refutation found
% 0.10/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.67 % Elapsed time: 0.102925 seconds
% 0.14/0.67 % CPU time: 0.272274 seconds
% 0.14/0.67 % Total memory used: 136.797 MB
% 0.14/0.67 % Net memory used: 136.279 MB
%------------------------------------------------------------------------------