%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB079+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 : n015.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 18.88s 2.90s
% Output : CNFRefutation 19.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 56 ( 18 unt; 0 def)
% Number of atoms : 285 ( 48 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 361 ( 132 ~; 138 |; 77 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-4 aty)
% Number of variables : 128 ( 116 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f241,axiom,
! [X,Y] :
( iext(uri_owl_oneOf,X,Y)
=> ( icext(uri_rdf_List,Y)
& ic(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f295,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f296,axiom,
! [Z,S1,A1,S2,A2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,A2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,A1) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( X = A2
| X = A1 ) )
& ic(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f343,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_u)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_w)
& iext(uri_owl_oneOf,uri_ex_c1,X2)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_w)
& iext(uri_owl_oneOf,uri_ex_c2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1009,plain,
! [X,Y] :
( ( icext(uri_rdf_List,Y)
& ic(X) )
| ~ iext(uri_owl_oneOf,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f241]) ).
fof(f1010,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1009]) ).
fof(f1211,plain,
! [Z,S1,A1] :
( ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> X = A1 )
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(pre_NNF_transformation,[status(thm)],[f295]) ).
fof(f1212,plain,
! [Z,S1,A1] :
( ( ( ? [X] :
( ( X = A1
| icext(Z,X) )
& ( X != A1
| ~ icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ( ( ! [X] :
( ( X != A1
| icext(Z,X) )
& ( X = A1
| ~ icext(Z,X) ) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(NNF_transformation,[status(thm)],[f1211]) ).
fof(f1213,plain,
! [S1,A1] :
( ( ! [Z] :
( ? [X] :
( ( X = A1
| icext(Z,X) )
& ( X != A1
| ~ icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( X != A1
| icext(Z,X) )
& ! [X] :
( X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(miniscoping,[status(thm)],[f1212]) ).
fof(f1214,plain,
! [S1,A1] :
( ( ! [Z] :
( ( ( sK10_skl(Z,A1,S1) = A1
| icext(Z,sK10_skl(Z,A1,S1)) )
& ( sK10_skl(Z,A1,S1) != A1
| ~ icext(Z,sK10_skl(Z,A1,S1)) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( X != A1
| icext(Z,X) )
& ! [X] :
( X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(X,sK10_skl(Z,A1,S1))],[f1213]) ).
fof(f1216,plain,
! [X0,X1,X2,X3] :
( X3 = X1
| ~ icext(X2,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1214]) ).
fof(f1220,plain,
! [Z,S1,A1,S2,A2] :
( ( iext(uri_owl_oneOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( X = A2
| X = A1 ) )
& ic(Z) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(pre_NNF_transformation,[status(thm)],[f296]) ).
fof(f1221,plain,
! [Z,S1,A1,S2,A2] :
( ( ( ? [X] :
( ( X = A2
| X = A1
| icext(Z,X) )
& ( ( X != A2
& X != A1 )
| ~ icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ( ( ! [X] :
( ( ( X != A2
& X != A1 )
| icext(Z,X) )
& ( X = A2
| X = A1
| ~ icext(Z,X) ) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(NNF_transformation,[status(thm)],[f1220]) ).
fof(f1222,plain,
! [S1,A1,A2] :
( ( ! [Z] :
( ? [X] :
( ( X = A2
| X = A1
| icext(Z,X) )
& ( ( X != A2
& X != A1 )
| ~ icext(Z,X) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ( X != A2
& X != A1 )
| icext(Z,X) )
& ! [X] :
( X = A2
| X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ) ),
inference(miniscoping,[status(thm)],[f1221]) ).
fof(f1223,plain,
! [S1,A1,A2] :
( ( ! [Z] :
( ( ( sK11_skl(Z,A2,A1,S1) = A2
| sK11_skl(Z,A2,A1,S1) = A1
| icext(Z,sK11_skl(Z,A2,A1,S1)) )
& ( ( sK11_skl(Z,A2,A1,S1) != A2
& sK11_skl(Z,A2,A1,S1) != A1 )
| ~ icext(Z,sK11_skl(Z,A2,A1,S1)) ) )
| ~ ic(Z)
| iext(uri_owl_oneOf,Z,S1) )
& ! [Z] :
( ( ! [X] :
( ( X != A2
& X != A1 )
| icext(Z,X) )
& ! [X] :
( X = A2
| X = A1
| ~ icext(Z,X) )
& ic(Z) )
| ~ iext(uri_owl_oneOf,Z,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(X,sK11_skl(Z,A2,A1,S1))],[f1222]) ).
fof(f1226,plain,
! [X0,X1,X2,X3,X4,X5] :
( X5 != X1
| icext(X4,X5)
| ~ iext(uri_owl_oneOf,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)],[f1223]) ).
fof(f1731,plain,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f343]) ).
fof(f1732,plain,
! [C1,C2] :
( ( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(NNF_transformation,[status(thm)],[f1731]) ).
fof(f1733,plain,
( ! [C1,C2] :
( ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f1732]) ).
fof(f1734,plain,
( ! [C1,C2] :
( ( ~ icext(C2,sK115_skl(C2,C1))
& icext(C1,sK115_skl(C2,C1)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_rdfs_subClassOf,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115_skl]),skolemize(X,sK115_skl(C2,C1))],[f1733]) ).
fof(f1738,plain,
! [X0,X1] :
( icext(X0,sK115_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1734]) ).
fof(f1739,plain,
! [X0,X1] :
( ~ icext(X1,sK115_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1734]) ).
fof(f2405,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
? [X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_u)
& ? [X2] :
( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_w)
& iext(uri_owl_oneOf,uri_ex_c1,X2)
& ? [X0] :
( iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_w)
& iext(uri_owl_oneOf,uri_ex_c2,X0) ) ) ),
inference(miniscoping,[status(thm)],[f561]) ).
fof(f2407,plain,
( iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK199_skl,uri_ex_u)
& iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK200_skl,uri_ex_w)
& iext(uri_owl_oneOf,uri_ex_c1,sK200_skl)
& iext(uri_rdf_rest,sK201_skl,sK199_skl)
& iext(uri_rdf_first,sK201_skl,uri_ex_w)
& iext(uri_owl_oneOf,uri_ex_c2,sK201_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl,sK201_skl]),skolemize(X1,sK199_skl),skolemize(X2,sK200_skl),skolemize(X0,sK201_skl)],[f2406]) ).
fof(f2408,plain,
iext(uri_owl_oneOf,uri_ex_c2,sK201_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2409,plain,
iext(uri_rdf_first,sK201_skl,uri_ex_w),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2410,plain,
iext(uri_rdf_rest,sK201_skl,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2411,plain,
iext(uri_owl_oneOf,uri_ex_c1,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2412,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_w),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2413,plain,
iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2414,plain,
iext(uri_rdf_first,sK199_skl,uri_ex_u),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2415,plain,
iext(uri_rdf_rest,sK199_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2513,plain,
! [X0,X1,X2,X3,X4] :
( icext(X4,X1)
| ~ iext(uri_owl_oneOf,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(destructive_equality_resolution,[status(thm)],[f1226]) ).
fof(f5730,plain,
ic(uri_ex_c1),
inference(resolution,[status(thm)],[f1010,f2411]) ).
fof(f5731,plain,
ic(uri_ex_c2),
inference(resolution,[status(thm)],[f1010,f2408]) ).
fof(f6974,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f1216,f2411]) ).
fof(f7215,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6974,f2413]) ).
fof(f7379,plain,
! [X0,X1,X2] :
( icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK201_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f2513,f2408]) ).
fof(f7385,plain,
! [X0] :
( X0 = uri_ex_w
| ~ icext(uri_ex_c1,X0) ),
inference(resolution,[status(thm)],[f7215,f2412]) ).
fof(f7893,plain,
! [X0,X1] :
( icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(resolution,[status(thm)],[f7379,f2410]) ).
fof(f7896,plain,
! [X0,X1] :
( icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK201_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7893,f2415]) ).
fof(f8784,plain,
! [X0] :
( icext(uri_ex_c2,uri_ex_w)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7896,f2409]) ).
fof(f8833,plain,
icext(uri_ex_c2,uri_ex_w),
inference(resolution,[status(thm)],[f8784,f2414]) ).
fof(f10908,plain,
! [X0] :
( icext(uri_ex_c1,sK115_skl(X0,uri_ex_c1))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_c1,X0) ),
inference(resolution,[status(thm)],[f1738,f5730]) ).
fof(f12043,plain,
( icext(uri_ex_c1,sK115_skl(uri_ex_c2,uri_ex_c1))
| iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2) ),
inference(resolution,[status(thm)],[f10908,f5731]) ).
fof(f12114,plain,
icext(uri_ex_c1,sK115_skl(uri_ex_c2,uri_ex_c1)),
inference(forward_subsumption_resolution,[status(thm)],[f12043,f2405]) ).
fof(f12312,plain,
sK115_skl(uri_ex_c2,uri_ex_c1) = uri_ex_w,
inference(resolution,[status(thm)],[f12114,f7385]) ).
fof(f12316,plain,
( ~ icext(uri_ex_c2,uri_ex_w)
| ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c1)
| iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2) ),
inference(paramodulation,[status(thm)],[f12312,f1739]) ).
fof(f12317,plain,
( ~ icext(uri_ex_c2,uri_ex_w)
| ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12316,f2405]) ).
fof(f12357,plain,
( ~ icext(uri_ex_c2,uri_ex_w)
| ~ ic(uri_ex_c2) ),
inference(forward_subsumption_resolution,[status(thm)],[f12317,f5730]) ).
fof(f12358,plain,
~ ic(uri_ex_c2),
inference(resolution,[status(thm)],[f12357,f8833]) ).
fof(f12359,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f12358,f5731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB079+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:48:35 UTC 2026
% 0.13/0.35 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 18.88/2.90 % Refutation found
% 18.88/2.90 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.88/2.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.08/2.95 % Elapsed time: 2.579004 seconds
% 19.08/2.95 % CPU time: 19.908203 seconds
% 19.08/2.95 % Total memory used: 228.813 MB
% 19.08/2.95 % Net memory used: 218.140 MB
%------------------------------------------------------------------------------