%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB014+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:37:05 PM UTC 2026
% Result : Theorem 0.14s 5.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 11 unt; 3 def)
% Number of atoms : 222 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 271 ( 99 ~; 105 |; 58 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 85 ( 75 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,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_unionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
| icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,conjecture,
? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_rdf_type,BNODE_x,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
inference(negated_conjecture,[status(cth)],[f139]) ).
fof(f141,axiom,
? [BNODE_u,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)
& iext(uri_owl_unionOf,BNODE_u,BNODE_l1)
& iext(uri_rdf_type,uri_ex_harry,BNODE_u)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f210,plain,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_owl_unionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
| icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) )
| ~ 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(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f211,plain,
! [Z,S1,C1,S2,C2] :
( ( ( ? [X] :
( ( icext(C2,X)
| icext(C1,X)
| icext(Z,X) )
& ( ( ~ icext(C2,X)
& ~ icext(C1,X) )
| ~ icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ( ( ! [X] :
( ( ( ~ icext(C2,X)
& ~ icext(C1,X) )
| icext(Z,X) )
& ( icext(C2,X)
| icext(C1,X)
| ~ icext(Z,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,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(NNF_transformation,[status(thm)],[f210]) ).
fof(f212,plain,
! [S1,C1,C2] :
( ( ! [Z] :
( ? [X] :
( ( icext(C2,X)
| icext(C1,X)
| icext(Z,X) )
& ( ( ~ icext(C2,X)
& ~ icext(C1,X) )
| ~ icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ( ~ icext(C2,X)
& ~ icext(C1,X) )
| icext(Z,X) )
& ! [X] :
( icext(C2,X)
| icext(C1,X)
| ~ icext(Z,X) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,S1) ) )
| ! [S2] :
( ~ 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(miniscoping,[status(thm)],[f211]) ).
fof(f213,plain,
! [S1,C1,C2] :
( ( ! [Z] :
( ( ( icext(C2,sK6_skl(Z,C2,C1,S1))
| icext(C1,sK6_skl(Z,C2,C1,S1))
| icext(Z,sK6_skl(Z,C2,C1,S1)) )
& ( ( ~ icext(C2,sK6_skl(Z,C2,C1,S1))
& ~ icext(C1,sK6_skl(Z,C2,C1,S1)) )
| ~ icext(Z,sK6_skl(Z,C2,C1,S1)) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z)
| iext(uri_owl_unionOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ( ~ icext(C2,X)
& ~ icext(C1,X) )
| icext(Z,X) )
& ! [X] :
( icext(C2,X)
| icext(C1,X)
| ~ icext(Z,X) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_unionOf,Z,S1) ) )
| ! [S2] :
( ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(X,sK6_skl(Z,C2,C1,S1))],[f212]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4,X5] :
( icext(X3,X5)
| icext(X1,X5)
| ~ icext(X4,X5)
| ~ iext(uri_owl_unionOf,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f421,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)],[f80]) ).
fof(f422,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)],[f421]) ).
fof(f423,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f514,plain,
! [BNODE_x] :
( ~ iext(uri_rdf_type,BNODE_x,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,BNODE_x) ),
inference(pre_NNF_transformation,[status(thm)],[f140]) ).
fof(f515,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_Species)
| ~ iext(uri_rdf_type,uri_ex_harry,X0) ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f516,plain,
? [BNODE_l2] :
( iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)
& ? [BNODE_l1] :
( iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)
& ? [BNODE_u] :
( iext(uri_owl_unionOf,BNODE_u,BNODE_l1)
& iext(uri_rdf_type,uri_ex_harry,BNODE_u)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ) ) ),
inference(miniscoping,[status(thm)],[f141]) ).
fof(f517,plain,
( iext(uri_rdf_rest,sK18_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK18_skl,uri_ex_Falcon)
& iext(uri_rdf_rest,sK19_skl,sK18_skl)
& iext(uri_rdf_first,sK19_skl,uri_ex_Eagle)
& iext(uri_owl_unionOf,sK20_skl,sK19_skl)
& iext(uri_rdf_type,uri_ex_harry,sK20_skl)
& iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
& iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl,sK20_skl]),skolemize(BNODE_l2,sK18_skl),skolemize(BNODE_l1,sK19_skl),skolemize(BNODE_u,sK20_skl)],[f516]) ).
fof(f518,plain,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f519,plain,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f520,plain,
iext(uri_rdf_type,uri_ex_harry,sK20_skl),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f521,plain,
iext(uri_owl_unionOf,sK20_skl,sK19_skl),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f522,plain,
iext(uri_rdf_first,sK19_skl,uri_ex_Eagle),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f523,plain,
iext(uri_rdf_rest,sK19_skl,sK18_skl),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f524,plain,
iext(uri_rdf_first,sK18_skl,uri_ex_Falcon),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f525,plain,
iext(uri_rdf_rest,sK18_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f590,plain,
! [X0,X1,X2,X3,X4] :
( icext(X2,X4)
| icext(X1,X4)
| ~ icext(X3,X4)
| ~ iext(uri_owl_unionOf,X3,X0)
| ~ iext(uri_rdf_first,sK18_skl,X2)
| ~ iext(uri_rdf_rest,X0,sK18_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f525,f217]) ).
fof(f626,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| icext(X0,X3)
| ~ icext(X2,X3)
| ~ iext(uri_owl_unionOf,X2,sK19_skl)
| ~ iext(uri_rdf_first,sK18_skl,X1)
| ~ iext(uri_rdf_first,sK19_skl,X0) ),
inference(resolution,[status(thm)],[f590,f523]) ).
fof(f627,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| icext(X0,X2)
| ~ icext(sK20_skl,X2)
| ~ iext(uri_rdf_first,sK18_skl,X1)
| ~ iext(uri_rdf_first,sK19_skl,X0) ),
inference(resolution,[status(thm)],[f626,f521]) ).
fof(f628,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_type,X2,sK20_skl)
| icext(X1,X2)
| icext(X0,X2)
| ~ iext(uri_rdf_first,sK18_skl,X1)
| ~ iext(uri_rdf_first,sK19_skl,X0) ),
inference(resolution,[status(thm)],[f627,f423]) ).
fof(f629,plain,
! [X0,X1] :
( icext(X1,uri_ex_harry)
| icext(X0,uri_ex_harry)
| ~ iext(uri_rdf_first,sK18_skl,X1)
| ~ iext(uri_rdf_first,sK19_skl,X0) ),
inference(resolution,[status(thm)],[f628,f520]) ).
fof(f630,definition,
! [X0] :
( sQ12_spl
<=> ( icext(X0,uri_ex_harry)
| ~ iext(uri_rdf_first,sK19_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f631,plain,
! [X0] :
( ~ sQ12_spl
| icext(X0,uri_ex_harry)
| ~ iext(uri_rdf_first,sK19_skl,X0) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
! [X1] :
( sQ13_spl
<=> ( icext(X1,uri_ex_harry)
| ~ iext(uri_rdf_first,sK18_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f634,plain,
! [X0] :
( ~ sQ13_spl
| icext(X0,uri_ex_harry)
| ~ iext(uri_rdf_first,sK18_skl,X0) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f629,f630,f633]) ).
fof(f648,definition,
( sQ15_spl
<=> iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( sQ15_spl
| ~ iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f652,plain,
( ~ sQ13_spl
| icext(uri_ex_Falcon,uri_ex_harry) ),
inference(resolution,[status(thm)],[f634,f524]) ).
fof(f653,plain,
( ~ sQ13_spl
| iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
inference(resolution,[status(thm)],[f652,f424]) ).
fof(f654,plain,
( ~ sQ13_spl
| ~ iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species) ),
inference(resolution,[status(thm)],[f653,f515]) ).
fof(f655,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f519]) ).
fof(f656,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f665,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f518]) ).
fof(f666,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f670,plain,
( ~ sQ12_spl
| icext(uri_ex_Eagle,uri_ex_harry) ),
inference(resolution,[status(thm)],[f631,f522]) ).
fof(f671,plain,
( ~ sQ12_spl
| iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle) ),
inference(resolution,[status(thm)],[f670,f424]) ).
fof(f672,plain,
( ~ sQ12_spl
| ~ iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species) ),
inference(resolution,[status(thm)],[f671,f515]) ).
fof(f673,plain,
( ~ sQ12_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f672,f648,f630]) ).
fof(f674,plain,
$false,
inference(sat_refutation,[status(thm)],[f636,f656,f666,f673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB014+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n004.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 07:38:55 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.14/5.44 % Refutation found
% 0.14/5.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.46 % Elapsed time: 0.076060 seconds
% 0.14/5.46 % CPU time: 0.379377 seconds
% 0.14/5.46 % Total memory used: 29.894 MB
% 0.14/5.46 % Net memory used: 29.421 MB
%------------------------------------------------------------------------------