%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB056+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 : n005.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 02:37:16 PM UTC 2026
% Result : Theorem 0.30s 0.73s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 18 unt; 6 def)
% Number of atoms : 241 ( 62 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 284 ( 107 ~; 116 |; 47 &)
% ( 13 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-4 aty)
% Number of variables : 97 ( 91 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
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(f345,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f354,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_y)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X0)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_rdf_type,uri_ex_z,uri_ex_e) ),
file('/export/starexec/sandbox/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(f594,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
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(f1225,plain,
! [X0,X1,X2,X3,X4,X5] :
( X5 = X3
| 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(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(f1832,plain,
! [X,Y] :
( ( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f1833,plain,
( ! [X,Y] :
( X != Y
| iext(uri_owl_sameAs,X,Y) )
& ! [X,Y] :
( X = Y
| ~ iext(uri_owl_sameAs,X,Y) ) ),
inference(miniscoping,[status(thm)],[f1832]) ).
fof(f1835,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1833]) ).
fof(f2405,plain,
~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_y),
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_y)
& ? [X0] :
( iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X0)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_rdf_type,uri_ex_z,uri_ex_e) ) ),
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_y)
& iext(uri_rdf_rest,sK200_skl,sK199_skl)
& iext(uri_rdf_first,sK200_skl,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,sK200_skl)
& iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x)
& iext(uri_rdf_type,uri_ex_z,uri_ex_e) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl]),skolemize(X1,sK199_skl),skolemize(X0,sK200_skl)],[f2406]) ).
fof(f2408,plain,
iext(uri_rdf_type,uri_ex_z,uri_ex_e),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2409,plain,
iext(uri_owl_differentFrom,uri_ex_z,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2410,plain,
iext(uri_owl_oneOf,uri_ex_e,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2411,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2412,plain,
iext(uri_rdf_rest,sK200_skl,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2413,plain,
iext(uri_rdf_first,sK199_skl,uri_ex_y),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2414,plain,
iext(uri_rdf_rest,sK199_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2525,plain,
! [X0] : ~ iext(uri_owl_differentFrom,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f1751]) ).
fof(f2526,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f1835]) ).
fof(f3619,plain,
icext(uri_ex_e,uri_ex_z),
inference(resolution,[status(thm)],[f2408,f594]) ).
fof(f4263,definition,
( sQ163_spl
<=> iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f4265,plain,
( sQ163_spl
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil) ),
inference(component_clause,[status(thm)],[f4263]) ).
fof(f4338,plain,
( sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4265,f2414]) ).
fof(f4339,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f4338]) ).
fof(f5150,definition,
( sQ283_spl
<=> iext(uri_rdf_rest,sK200_skl,sK199_skl) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f5152,plain,
( sQ283_spl
| ~ iext(uri_rdf_rest,sK200_skl,sK199_skl) ),
inference(component_clause,[status(thm)],[f5150]) ).
fof(f5219,plain,
( sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5152,f2412]) ).
fof(f5220,plain,
sQ283_spl,
inference(contradiction_clause,[status(thm)],[f5219]) ).
fof(f6496,plain,
! [X0,X1,X2,X3] :
( X3 = uri_ex_y
| X3 = X1
| ~ icext(X2,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK199_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[status(thm)],[f1225,f2413]) ).
fof(f6513,definition,
! [X0,X1,X2,X3] :
( sQ429_spl
<=> ( X3 = uri_ex_y
| X3 = X1
| ~ icext(X2,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK199_skl)
| ~ iext(uri_rdf_first,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f6514,plain,
! [X0,X1,X2,X3] :
( ~ sQ429_spl
| X3 = uri_ex_y
| X3 = X1
| ~ icext(X2,X3)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK199_skl)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(component_clause,[status(thm)],[f6513]) ).
fof(f6516,plain,
( ~ sQ163_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f6496,f6513,f4263]) ).
fof(f6542,plain,
! [X0,X1] :
( ~ sQ429_spl
| X1 = uri_ex_y
| X1 = X0
| ~ icext(uri_ex_e,X1)
| ~ iext(uri_rdf_rest,sK200_skl,sK199_skl)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f6514,f2410]) ).
fof(f6544,definition,
! [X0,X1] :
( sQ431_spl
<=> ( X1 = uri_ex_y
| X1 = X0
| ~ icext(uri_ex_e,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f6545,plain,
! [X0,X1] :
( ~ sQ431_spl
| X1 = uri_ex_y
| X1 = X0
| ~ icext(uri_ex_e,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(component_clause,[status(thm)],[f6544]) ).
fof(f6547,plain,
( ~ sQ429_spl
| ~ sQ283_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f6542,f6544,f5150,f6513]) ).
fof(f6552,plain,
! [X0] :
( ~ sQ431_spl
| X0 = uri_ex_y
| X0 = uri_ex_x
| ~ icext(uri_ex_e,X0) ),
inference(resolution,[status(thm)],[f6545,f2411]) ).
fof(f6631,plain,
( ~ sQ431_spl
| uri_ex_z = uri_ex_y
| uri_ex_z = uri_ex_x ),
inference(resolution,[status(thm)],[f6552,f3619]) ).
fof(f6636,definition,
( sQ444_spl
<=> uri_ex_z = uri_ex_x ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f6637,plain,
( ~ sQ444_spl
| uri_ex_z = uri_ex_x ),
inference(component_clause,[status(thm)],[f6636]) ).
fof(f6639,definition,
( sQ445_spl
<=> uri_ex_z = uri_ex_y ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f6640,plain,
( ~ sQ445_spl
| uri_ex_z = uri_ex_y ),
inference(component_clause,[status(thm)],[f6639]) ).
fof(f6642,plain,
( ~ sQ431_spl
| sQ445_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f6631,f6636,f6639,f6544]) ).
fof(f6661,plain,
( ~ sQ444_spl
| iext(uri_owl_differentFrom,uri_ex_z,uri_ex_z) ),
inference(backward_demodulation,[status(thm)],[f6637,f2409]) ).
fof(f6662,plain,
( ~ sQ444_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6661,f2525]) ).
fof(f6663,plain,
~ sQ444_spl,
inference(contradiction_clause,[status(thm)],[f6662]) ).
fof(f6677,plain,
( ~ sQ445_spl
| ~ iext(uri_owl_sameAs,uri_ex_z,uri_ex_z) ),
inference(backward_demodulation,[status(thm)],[f6640,f2405]) ).
fof(f6678,plain,
( ~ sQ445_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6677,f2526]) ).
fof(f6679,plain,
~ sQ445_spl,
inference(contradiction_clause,[status(thm)],[f6678]) ).
fof(f6680,plain,
$false,
inference(sat_refutation,[status(thm)],[f4339,f5220,f6516,f6547,f6642,f6663,f6679]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB056+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 07:44:03 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.54 % Drodi V4.1.1
% 0.30/0.73 % Refutation found
% 0.30/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.30/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.30/0.80 % Elapsed time: 0.339831 seconds
% 0.30/0.80 % CPU time: 1.658521 seconds
% 0.30/0.80 % Total memory used: 150.751 MB
% 0.30/0.80 % Net memory used: 149.125 MB
%------------------------------------------------------------------------------