%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB077+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:37:18 PM UTC 2026
% Result : Theorem 5.36s 1.18s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 11 unt; 4 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 151 ( 57 ~; 62 |; 22 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 72 ( 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_range,P,C) )
=> icext(C,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [P,Q] :
( iext(uri_rdfs_subPropertyOf,P,Q)
=> ( ! [X,Y] :
( iext(P,X,Y)
=> iext(Q,X,Y) )
& ip(Q)
& ip(P) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f342,axiom,
! [P,C] :
( iext(uri_rdfs_range,P,C)
<=> ( ! [X,Y] :
( iext(P,X,Y)
=> icext(C,Y) )
& ip(C)
& ip(P) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2)
& iext(uri_rdfs_range,uri_ex_p2,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f643,plain,
! [P,C,X,Y] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ),
inference(pre_NNF_transformation,[status(thm)],[f59]) ).
fof(f644,plain,
! [C,Y] :
( icext(C,Y)
| ! [P] :
( ! [X] : ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ) ),
inference(miniscoping,[status(thm)],[f643]) ).
fof(f645,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f665,plain,
! [P,Q] :
( ( ! [X,Y] :
( iext(Q,X,Y)
| ~ iext(P,X,Y) )
& ip(Q)
& ip(P) )
| ~ iext(uri_rdfs_subPropertyOf,P,Q) ),
inference(pre_NNF_transformation,[status(thm)],[f73]) ).
fof(f666,plain,
! [X0,X1] :
( ip(X0)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f668,plain,
! [X0,X1,X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f1722,plain,
! [P,C] :
( iext(uri_rdfs_range,P,C)
<=> ( ! [X,Y] :
( icext(C,Y)
| ~ iext(P,X,Y) )
& ip(C)
& ip(P) ) ),
inference(pre_NNF_transformation,[status(thm)],[f342]) ).
fof(f1723,plain,
! [P,C] :
( ( ? [X,Y] :
( ~ icext(C,Y)
& iext(P,X,Y) )
| ~ ip(C)
| ~ ip(P)
| iext(uri_rdfs_range,P,C) )
& ( ( ! [X,Y] :
( icext(C,Y)
| ~ iext(P,X,Y) )
& ip(C)
& ip(P) )
| ~ iext(uri_rdfs_range,P,C) ) ),
inference(NNF_transformation,[status(thm)],[f1722]) ).
fof(f1724,plain,
( ! [P,C] :
( ? [Y] :
( ~ icext(C,Y)
& ? [X] : iext(P,X,Y) )
| ~ ip(C)
| ~ ip(P)
| iext(uri_rdfs_range,P,C) )
& ! [P,C] :
( ( ! [Y] :
( icext(C,Y)
| ! [X] : ~ iext(P,X,Y) )
& ip(C)
& ip(P) )
| ~ iext(uri_rdfs_range,P,C) ) ),
inference(miniscoping,[status(thm)],[f1723]) ).
fof(f1725,plain,
( ! [P,C] :
( ( ~ icext(C,sK113_skl(C,P))
& iext(P,sK114_skl(C,P),sK113_skl(C,P)) )
| ~ ip(C)
| ~ ip(P)
| iext(uri_rdfs_range,P,C) )
& ! [P,C] :
( ( ! [Y] :
( icext(C,Y)
| ! [X] : ~ iext(P,X,Y) )
& ip(C)
& ip(P) )
| ~ iext(uri_rdfs_range,P,C) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK113_skl,sK114_skl]),skolemize(Y,sK113_skl(C,P)),skolemize(X,sK114_skl(C,P))],[f1724]) ).
fof(f1727,plain,
! [X0,X1] :
( ip(X1)
| ~ iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1725]) ).
fof(f1729,plain,
! [X0,X1] :
( iext(X0,sK114_skl(X1,X0),sK113_skl(X1,X0))
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1725]) ).
fof(f1730,plain,
! [X0,X1] :
( ~ icext(X1,sK113_skl(X1,X0))
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1725]) ).
fof(f2405,plain,
~ iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
iext(uri_rdfs_range,uri_ex_p2,uri_ex_c),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2407,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f2533,plain,
! [X0,X1] :
( icext(uri_ex_c,X1)
| ~ iext(uri_ex_p2,X0,X1) ),
inference(resolution,[status(thm)],[f645,f2406]) ).
fof(f2535,plain,
ip(uri_ex_c),
inference(resolution,[status(thm)],[f1727,f2406]) ).
fof(f2723,plain,
ip(uri_ex_p1),
inference(resolution,[status(thm)],[f666,f2407]) ).
fof(f2858,plain,
! [X0,X1] :
( iext(uri_ex_p2,X0,X1)
| ~ iext(uri_ex_p1,X0,X1) ),
inference(resolution,[status(thm)],[f668,f2407]) ).
fof(f2892,definition,
( sQ14_spl
<=> ip(uri_ex_p1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f2894,plain,
( sQ14_spl
| ~ ip(uri_ex_p1) ),
inference(component_clause,[status(thm)],[f2892]) ).
fof(f3908,plain,
! [X0] :
( iext(uri_ex_p2,sK114_skl(X0,uri_ex_p1),sK113_skl(X0,uri_ex_p1))
| ~ ip(X0)
| ~ ip(uri_ex_p1)
| iext(uri_rdfs_range,uri_ex_p1,X0) ),
inference(resolution,[status(thm)],[f1729,f2858]) ).
fof(f4050,definition,
! [X0] :
( sQ152_spl
<=> ( iext(uri_ex_p2,sK114_skl(X0,uri_ex_p1),sK113_skl(X0,uri_ex_p1))
| ~ ip(X0)
| iext(uri_rdfs_range,uri_ex_p1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f4051,plain,
! [X0] :
( ~ sQ152_spl
| iext(uri_ex_p2,sK114_skl(X0,uri_ex_p1),sK113_skl(X0,uri_ex_p1))
| ~ ip(X0)
| iext(uri_rdfs_range,uri_ex_p1,X0) ),
inference(component_clause,[status(thm)],[f4050]) ).
fof(f4053,plain,
( ~ sQ14_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f3908,f4050,f2892]) ).
fof(f4307,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2894,f2723]) ).
fof(f4308,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f4307]) ).
fof(f4444,definition,
( sQ237_spl
<=> ip(uri_ex_c) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f4446,plain,
( sQ237_spl
| ~ ip(uri_ex_c) ),
inference(component_clause,[status(thm)],[f4444]) ).
fof(f4577,plain,
! [X0] :
( ~ sQ152_spl
| icext(uri_ex_c,sK113_skl(X0,uri_ex_p1))
| ~ ip(X0)
| iext(uri_rdfs_range,uri_ex_p1,X0) ),
inference(resolution,[status(thm)],[f4051,f2533]) ).
fof(f4583,plain,
( ~ sQ152_spl
| ~ ip(uri_ex_c)
| ~ ip(uri_ex_p1)
| iext(uri_rdfs_range,uri_ex_p1,uri_ex_c)
| ~ ip(uri_ex_c)
| iext(uri_rdfs_range,uri_ex_p1,uri_ex_c) ),
inference(resolution,[status(thm)],[f4577,f1730]) ).
fof(f4585,definition,
( sQ254_spl
<=> iext(uri_rdfs_range,uri_ex_p1,uri_ex_c) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f4586,plain,
( ~ sQ254_spl
| iext(uri_rdfs_range,uri_ex_p1,uri_ex_c) ),
inference(component_clause,[status(thm)],[f4585]) ).
fof(f4588,plain,
( ~ sQ152_spl
| ~ sQ14_spl
| ~ sQ237_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f4583,f4585,f4444,f2892,f4050]) ).
fof(f4590,plain,
( sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4446,f2535]) ).
fof(f4591,plain,
sQ237_spl,
inference(contradiction_clause,[status(thm)],[f4590]) ).
fof(f4592,plain,
( ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4586,f2405]) ).
fof(f4593,plain,
~ sQ254_spl,
inference(contradiction_clause,[status(thm)],[f4592]) ).
fof(f4594,plain,
$false,
inference(sat_refutation,[status(thm)],[f4053,f4308,f4588,f4591,f4593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB077+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:45:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.41 % Drodi V4.1.1
% 5.36/1.18 % Refutation found
% 5.36/1.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.36/1.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.93/1.22 % Elapsed time: 0.846713 seconds
% 0.93/1.22 % CPU time: 6.036352 seconds
% 0.93/1.22 % Total memory used: 170.493 MB
% 0.93/1.22 % Net memory used: 165.717 MB
%------------------------------------------------------------------------------