%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB068+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 : 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 02:37:17 PM UTC 2026
% Result : Theorem 102.37s 13.58s
% Output : CNFRefutation 102.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 98 ( 18 unt; 14 def)
% Number of atoms : 400 ( 72 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 503 ( 201 ~; 231 |; 54 &)
% ( 16 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-1 aty)
% Number of variables : 148 ( 131 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f345,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f366,axiom,
! [S1,A1,S2,A2,S3,A3] :
( ( A2 != A3
& A1 != A3
& A1 != A2
& iext(uri_rdf_rest,S3,uri_rdf_nil)
& iext(uri_rdf_first,S3,A3)
& iext(uri_rdf_rest,S2,S3)
& iext(uri_rdf_first,S2,A2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,A1) )
=> ? [Z] :
( iext(uri_owl_members,Z,S1)
& icext(uri_owl_AllDifferent,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
? [X2,X0,X1,X3] :
( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_w3)
& iext(uri_owl_members,X3,X0)
& iext(uri_rdf_type,X3,uri_owl_AllDifferent)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_w2)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_w1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ ? [X2,X0,X1,X3] :
( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_w3)
& iext(uri_owl_members,X3,X0)
& iext(uri_rdf_type,X3,uri_owl_AllDifferent)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_w2)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_w1) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X2,X1] :
( iext(uri_rdf_rest,X2,X1)
& iext(uri_rdf_first,X2,uri_ex_w1)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X1,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_w3)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f595,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f1749,plain,
! [X,Y] :
( ( X = Y
| iext(uri_owl_differentFrom,X,Y) )
& ( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f345]) ).
fof(f1750,plain,
( ! [X,Y] :
( X = Y
| iext(uri_owl_differentFrom,X,Y) )
& ! [X,Y] :
( X != Y
| ~ iext(uri_owl_differentFrom,X,Y) ) ),
inference(miniscoping,[status(thm)],[f1749]) ).
fof(f1751,plain,
! [X0,X1] :
( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1750]) ).
fof(f1877,plain,
! [S1,A1,S2,A2,S3,A3] :
( ? [Z] :
( iext(uri_owl_members,Z,S1)
& icext(uri_owl_AllDifferent,Z) )
| A2 = A3
| A1 = A3
| A1 = A2
| ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,A3)
| ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ),
inference(pre_NNF_transformation,[status(thm)],[f366]) ).
fof(f1878,plain,
! [S1] :
( ? [Z] :
( iext(uri_owl_members,Z,S1)
& icext(uri_owl_AllDifferent,Z) )
| ! [A2,A3] :
( A2 = A3
| ! [A1] :
( A1 = A3
| A1 = A2
| ! [S3] :
( ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,A3)
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,S3)
| ~ iext(uri_rdf_first,S2,A2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,A1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f1877]) ).
fof(f1879,plain,
! [S1] :
( ( iext(uri_owl_members,sK135_skl(S1),S1)
& icext(uri_owl_AllDifferent,sK135_skl(S1)) )
| ! [A2,A3] :
( A2 = A3
| ! [A1] :
( A1 = A3
| A1 = A2
| ! [S3] :
( ~ iext(uri_rdf_rest,S3,uri_rdf_nil)
| ~ iext(uri_rdf_first,S3,A3)
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,S3)
| ~ 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,[sK135_skl]),skolemize(Z,sK135_skl(S1))],[f1878]) ).
fof(f1880,plain,
! [X0,X1,X2,X3,X4,X5] :
( icext(uri_owl_AllDifferent,sK135_skl(X0))
| X3 = X5
| X1 = X5
| X1 = X3
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1879]) ).
fof(f1881,plain,
! [X0,X1,X2,X3,X4,X5] :
( iext(uri_owl_members,sK135_skl(X0),X0)
| X3 = X5
| X1 = X5
| X1 = X3
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1879]) ).
fof(f2405,plain,
! [X2,X0,X1,X3] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,uri_ex_w3)
| ~ iext(uri_owl_members,X3,X0)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,uri_ex_w2)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ),
inference(pre_NNF_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
! [X2] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,uri_ex_w3)
| ! [X0,X3] :
( ~ iext(uri_owl_members,X3,X0)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ! [X1] :
( ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,uri_ex_w2)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ) ) ),
inference(miniscoping,[status(thm)],[f2405]) ).
fof(f2407,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,uri_ex_w3)
| ~ iext(uri_owl_members,X3,X0)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,uri_ex_w2)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ),
inference(cnf_transformation,[status(thm)],[f2406]) ).
fof(f2408,plain,
? [X2,X1] :
( iext(uri_rdf_rest,X2,X1)
& iext(uri_rdf_first,X2,uri_ex_w1)
& ? [X0] :
( iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X1,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_w3)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2) ) ),
inference(miniscoping,[status(thm)],[f561]) ).
fof(f2409,plain,
( iext(uri_rdf_rest,sK199_skl,sK200_skl)
& iext(uri_rdf_first,sK199_skl,uri_ex_w1)
& iext(uri_rdf_rest,sK200_skl,sK201_skl)
& iext(uri_rdf_first,sK200_skl,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_rest,sK201_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK201_skl,uri_ex_w3)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl,sK201_skl]),skolemize(X2,sK199_skl),skolemize(X1,sK200_skl),skolemize(X0,sK201_skl)],[f2408]) ).
fof(f2410,plain,
iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2411,plain,
iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2412,plain,
iext(uri_rdf_first,sK201_skl,uri_ex_w3),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2413,plain,
iext(uri_rdf_rest,sK201_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2414,plain,
iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2415,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_w2),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2416,plain,
iext(uri_rdf_rest,sK200_skl,sK201_skl),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2417,plain,
iext(uri_rdf_first,sK199_skl,uri_ex_w1),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2418,plain,
iext(uri_rdf_rest,sK199_skl,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2409]) ).
fof(f2529,plain,
! [X0] : ~ iext(uri_owl_differentFrom,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f1751]) ).
fof(f3806,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,sK201_skl,uri_rdf_nil)
| ~ iext(uri_owl_members,X2,X0)
| ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,X1,sK201_skl)
| ~ iext(uri_rdf_first,X1,uri_ex_w2)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ),
inference(resolution,[status(thm)],[f2412,f2407]) ).
fof(f3807,definition,
! [X0,X1,X2] :
( sQ100_spl
<=> ( ~ iext(uri_owl_members,X2,X0)
| ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,X1,sK201_skl)
| ~ iext(uri_rdf_first,X1,uri_ex_w2)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f3808,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| ~ iext(uri_owl_members,X2,X0)
| ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,X1,sK201_skl)
| ~ iext(uri_rdf_first,X1,uri_ex_w2)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ),
inference(component_clause,[status(thm)],[f3807]) ).
fof(f3810,definition,
( sQ101_spl
<=> iext(uri_rdf_rest,sK201_skl,uri_rdf_nil) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f3812,plain,
( sQ101_spl
| ~ iext(uri_rdf_rest,sK201_skl,uri_rdf_nil) ),
inference(component_clause,[status(thm)],[f3810]) ).
fof(f3813,plain,
( ~ sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f3806,f3807,f3810]) ).
fof(f3837,plain,
! [X0,X1,X2,X3,X4] :
( iext(uri_owl_members,sK135_skl(X0),X0)
| X3 = X4
| X1 = X4
| X1 = X3
| ~ iext(uri_rdf_first,sK201_skl,X4)
| ~ iext(uri_rdf_rest,X2,sK201_skl)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f2413,f1881]) ).
fof(f3839,plain,
! [X0,X1,X2,X3,X4] :
( icext(uri_owl_AllDifferent,sK135_skl(X0))
| X3 = X4
| X1 = X4
| X1 = X3
| ~ iext(uri_rdf_first,sK201_skl,X4)
| ~ iext(uri_rdf_rest,X2,sK201_skl)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f2413,f1880]) ).
fof(f3886,definition,
! [X0,X2] :
( sQ105_spl
<=> ( ~ iext(uri_owl_members,X2,X0)
| ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f3887,plain,
! [X0,X1] :
( ~ sQ105_spl
| ~ iext(uri_owl_members,X1,X0)
| ~ iext(uri_rdf_type,X1,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ),
inference(component_clause,[status(thm)],[f3886]) ).
fof(f4021,plain,
! [X0] :
( ~ sQ105_spl
| ~ iext(uri_owl_members,X0,sK199_skl)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent)
| ~ iext(uri_rdf_first,sK199_skl,uri_ex_w1) ),
inference(resolution,[status(thm)],[f3887,f2418]) ).
fof(f4022,definition,
( sQ111_spl
<=> iext(uri_rdf_first,sK199_skl,uri_ex_w1) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f4024,plain,
( sQ111_spl
| ~ iext(uri_rdf_first,sK199_skl,uri_ex_w1) ),
inference(component_clause,[status(thm)],[f4022]) ).
fof(f4025,definition,
! [X0] :
( sQ112_spl
<=> ( ~ iext(uri_owl_members,X0,sK199_skl)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f4026,plain,
! [X0] :
( ~ sQ112_spl
| ~ iext(uri_owl_members,X0,sK199_skl)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent) ),
inference(component_clause,[status(thm)],[f4025]) ).
fof(f4028,plain,
( ~ sQ105_spl
| sQ112_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4021,f4022,f4025,f3886]) ).
fof(f4029,plain,
! [X0] :
( ~ sQ112_spl
| ~ icext(uri_owl_AllDifferent,X0)
| ~ iext(uri_owl_members,X0,sK199_skl) ),
inference(resolution,[status(thm)],[f4026,f595]) ).
fof(f4057,plain,
( sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4024,f2417]) ).
fof(f4058,plain,
sQ111_spl,
inference(contradiction_clause,[status(thm)],[f4057]) ).
fof(f4059,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ iext(uri_owl_members,X1,X0)
| ~ iext(uri_rdf_type,X1,uri_owl_AllDifferent)
| ~ iext(uri_rdf_rest,sK200_skl,sK201_skl)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ),
inference(resolution,[status(thm)],[f3808,f2415]) ).
fof(f4061,definition,
( sQ120_spl
<=> iext(uri_rdf_rest,sK200_skl,sK201_skl) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f4063,plain,
( sQ120_spl
| ~ iext(uri_rdf_rest,sK200_skl,sK201_skl) ),
inference(component_clause,[status(thm)],[f4061]) ).
fof(f4064,plain,
( ~ sQ100_spl
| ~ sQ120_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4059,f3886,f4061,f3807]) ).
fof(f4069,plain,
( sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3812,f2413]) ).
fof(f4070,plain,
sQ101_spl,
inference(contradiction_clause,[status(thm)],[f4069]) ).
fof(f4075,plain,
( sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4063,f2416]) ).
fof(f4076,plain,
sQ120_spl,
inference(contradiction_clause,[status(thm)],[f4075]) ).
fof(f5126,plain,
! [X0,X1,X2,X3] :
( icext(uri_owl_AllDifferent,sK135_skl(X0))
| X2 = X3
| X1 = X3
| X1 = X2
| ~ iext(uri_rdf_first,sK201_skl,X3)
| ~ iext(uri_rdf_first,sK200_skl,X2)
| ~ iext(uri_rdf_rest,X0,sK200_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f3839,f2416]) ).
fof(f5127,plain,
! [X0,X1,X2] :
( icext(uri_owl_AllDifferent,sK135_skl(sK199_skl))
| X1 = X2
| X0 = X2
| X0 = X1
| ~ iext(uri_rdf_first,sK201_skl,X2)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f5126,f2418]) ).
fof(f5128,definition,
! [X0,X1,X2] :
( sQ209_spl
<=> ( X1 = X2
| X0 = X2
| X0 = X1
| ~ iext(uri_rdf_first,sK201_skl,X2)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f5129,plain,
! [X0,X1,X2] :
( ~ sQ209_spl
| X1 = X2
| X0 = X2
| X0 = X1
| ~ iext(uri_rdf_first,sK201_skl,X2)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(component_clause,[status(thm)],[f5128]) ).
fof(f5131,definition,
( sQ210_spl
<=> icext(uri_owl_AllDifferent,sK135_skl(sK199_skl)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f5134,plain,
( sQ210_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f5127,f5128,f5131]) ).
fof(f7211,plain,
! [X0,X1,X2,X3] :
( ~ sQ112_spl
| X2 = X3
| X0 = X3
| X0 = X2
| ~ iext(uri_rdf_first,sK201_skl,X3)
| ~ iext(uri_rdf_rest,X1,sK201_skl)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0)
| ~ icext(uri_owl_AllDifferent,sK135_skl(sK199_skl)) ),
inference(resolution,[status(thm)],[f4029,f3837]) ).
fof(f7229,definition,
! [X0,X1,X2,X3] :
( sQ242_spl
<=> ( X2 = X3
| X0 = X3
| X0 = X2
| ~ iext(uri_rdf_first,sK201_skl,X3)
| ~ iext(uri_rdf_rest,X1,sK201_skl)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f7230,plain,
! [X0,X1,X2,X3] :
( ~ sQ242_spl
| X2 = X3
| X0 = X3
| X0 = X2
| ~ iext(uri_rdf_first,sK201_skl,X3)
| ~ iext(uri_rdf_rest,X1,sK201_skl)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,sK199_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(component_clause,[status(thm)],[f7229]) ).
fof(f7232,plain,
( ~ sQ112_spl
| sQ242_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f7211,f5131,f7229,f4025]) ).
fof(f7236,plain,
! [X0,X1,X2] :
( ~ sQ242_spl
| X1 = X2
| X0 = X2
| X0 = X1
| ~ iext(uri_rdf_first,sK201_skl,X2)
| ~ iext(uri_rdf_first,sK200_skl,X1)
| ~ iext(uri_rdf_rest,sK199_skl,sK200_skl)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7230,f2416]) ).
fof(f7237,definition,
( sQ243_spl
<=> iext(uri_rdf_rest,sK199_skl,sK200_skl) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f7239,plain,
( sQ243_spl
| ~ iext(uri_rdf_rest,sK199_skl,sK200_skl) ),
inference(component_clause,[status(thm)],[f7237]) ).
fof(f7240,plain,
( ~ sQ242_spl
| ~ sQ243_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f7236,f5128,f7237,f7229]) ).
fof(f7404,plain,
! [X0,X1] :
( ~ sQ209_spl
| uri_ex_w2 = X1
| X0 = X1
| X0 = uri_ex_w2
| ~ iext(uri_rdf_first,sK201_skl,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f2415,f5129]) ).
fof(f7609,plain,
! [X0] :
( ~ sQ209_spl
| uri_ex_w2 = uri_ex_w3
| X0 = uri_ex_w3
| X0 = uri_ex_w2
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f7404,f2412]) ).
fof(f7611,definition,
! [X0] :
( sQ289_spl
<=> ( X0 = uri_ex_w3
| X0 = uri_ex_w2
| ~ iext(uri_rdf_first,sK199_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f7612,plain,
! [X0] :
( ~ sQ289_spl
| X0 = uri_ex_w3
| X0 = uri_ex_w2
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(component_clause,[status(thm)],[f7611]) ).
fof(f7614,definition,
( sQ290_spl
<=> uri_ex_w2 = uri_ex_w3 ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f7615,plain,
( ~ sQ290_spl
| uri_ex_w2 = uri_ex_w3 ),
inference(component_clause,[status(thm)],[f7614]) ).
fof(f7617,plain,
( ~ sQ209_spl
| sQ290_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f7609,f7611,f7614,f5128]) ).
fof(f7618,plain,
( ~ sQ289_spl
| uri_ex_w1 = uri_ex_w3
| uri_ex_w1 = uri_ex_w2 ),
inference(resolution,[status(thm)],[f7612,f2417]) ).
fof(f7620,definition,
( sQ291_spl
<=> uri_ex_w1 = uri_ex_w2 ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f7621,plain,
( ~ sQ291_spl
| uri_ex_w1 = uri_ex_w2 ),
inference(component_clause,[status(thm)],[f7620]) ).
fof(f7623,definition,
( sQ292_spl
<=> uri_ex_w1 = uri_ex_w3 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f7624,plain,
( ~ sQ292_spl
| uri_ex_w1 = uri_ex_w3 ),
inference(component_clause,[status(thm)],[f7623]) ).
fof(f7626,plain,
( ~ sQ289_spl
| sQ292_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f7618,f7620,f7623,f7611]) ).
fof(f13295,plain,
( ~ sQ290_spl
| iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w2) ),
inference(backward_demodulation,[status(thm)],[f7615,f2414]) ).
fof(f13324,plain,
( ~ sQ290_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13295,f2529]) ).
fof(f13325,plain,
~ sQ290_spl,
inference(contradiction_clause,[status(thm)],[f13324]) ).
fof(f13337,plain,
( ~ sQ291_spl
| iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1) ),
inference(backward_demodulation,[status(thm)],[f7621,f2410]) ).
fof(f13363,plain,
( ~ sQ291_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13337,f2529]) ).
fof(f13364,plain,
~ sQ291_spl,
inference(contradiction_clause,[status(thm)],[f13363]) ).
fof(f15594,plain,
( ~ sQ292_spl
| iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1) ),
inference(forward_demodulation,[status(thm)],[f7624,f2411]) ).
fof(f15595,plain,
( ~ sQ292_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15594,f2529]) ).
fof(f15596,plain,
~ sQ292_spl,
inference(contradiction_clause,[status(thm)],[f15595]) ).
fof(f15597,plain,
( sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7239,f2418]) ).
fof(f15598,plain,
sQ243_spl,
inference(contradiction_clause,[status(thm)],[f15597]) ).
fof(f15599,plain,
$false,
inference(sat_refutation,[status(thm)],[f3813,f4028,f4058,f4064,f4070,f4076,f5134,f7232,f7240,f7617,f7626,f13325,f13364,f15596,f15598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB068+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.48 % Computer : n015.cluster.edu
% 0.16/0.48 % Model : x86_64 x86_64
% 0.16/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.48 % Memory : 8046.5625MB
% 0.16/0.48 % OS : Linux 6.8.0-71-generic
% 0.16/0.48 % CPULimit : 300
% 0.16/0.48 % WCLimit : 300
% 0.16/0.48 % DateTime : Mon Sep 21 07:48:21 UTC 2026
% 0.16/0.48 % CPUTime :
% 0.21/0.56 % Drodi V4.1.1
% 102.37/13.58 % Refutation found
% 102.37/13.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 102.37/13.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 41.89/13.64 % Elapsed time: 13.137577 seconds
% 41.89/13.64 % CPU time: 103.194930 seconds
% 41.89/13.64 % Total memory used: 359.240 MB
% 41.89/13.64 % Net memory used: 337.558 MB
%------------------------------------------------------------------------------