%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB063+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 : n008.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 49.39s 6.84s
% Output : CNFRefutation 47.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 16 unt; 0 def)
% Number of atoms : 225 ( 24 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 275 ( 105 ~; 113 |; 49 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 86 ( 78 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f241,axiom,
! [X,Y] :
( iext(uri_owl_oneOf,X,Y)
=> ( icext(uri_rdf_List,Y)
& ic(X) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f351,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2),
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_x)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_c1,X1)
& iext(uri_owl_oneOf,uri_ex_c2,X0) ),
file('/export/starexec/sandbox2/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(f1217,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(f1805,plain,
! [C1,C2] :
( ( ? [X] :
( ( icext(C2,X)
| icext(C1,X) )
& ( ~ icext(C2,X)
| ~ icext(C1,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ( ( ! [X] :
( ( ~ icext(C2,X)
| icext(C1,X) )
& ( icext(C2,X)
| ~ icext(C1,X) ) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(NNF_transformation,[status(thm)],[f351]) ).
fof(f1806,plain,
( ! [C1,C2] :
( ? [X] :
( ( icext(C2,X)
| icext(C1,X) )
& ( ~ icext(C2,X)
| ~ icext(C1,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| icext(C1,X) )
& ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f1805]) ).
fof(f1807,plain,
( ! [C1,C2] :
( ( ( icext(C2,sK123_skl(C2,C1))
| icext(C1,sK123_skl(C2,C1)) )
& ( ~ icext(C2,sK123_skl(C2,C1))
| ~ icext(C1,sK123_skl(C2,C1)) ) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_equivalentClass,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| icext(C1,X) )
& ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK123_skl]),skolemize(X,sK123_skl(C2,C1))],[f1806]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ icext(X1,sK123_skl(X1,X0))
| ~ icext(X0,sK123_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1807]) ).
fof(f1813,plain,
! [X0,X1] :
( icext(X1,sK123_skl(X1,X0))
| icext(X0,sK123_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1807]) ).
fof(f2405,plain,
~ iext(uri_owl_equivalentClass,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_x)
& ? [X0] :
( iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_c1,X1)
& 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_x)
& iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK200_skl,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_c1,sK199_skl)
& iext(uri_owl_oneOf,uri_ex_c2,sK200_skl) ),
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_owl_oneOf,uri_ex_c2,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2409,plain,
iext(uri_owl_oneOf,uri_ex_c1,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2410,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2411,plain,
iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2412,plain,
iext(uri_rdf_first,sK199_skl,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2413,plain,
iext(uri_rdf_rest,sK199_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2510,plain,
! [X0,X1,X2] :
( icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f1217]) ).
fof(f3449,plain,
ic(uri_ex_c1),
inference(resolution,[status(thm)],[f1010,f2409]) ).
fof(f3450,plain,
ic(uri_ex_c2),
inference(resolution,[status(thm)],[f1010,f2408]) ).
fof(f3823,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f1216,f2409]) ).
fof(f3824,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f1216,f2408]) ).
fof(f3825,plain,
! [X0] :
( icext(uri_ex_c1,X0)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f2510,f2409]) ).
fof(f3826,plain,
! [X0] :
( icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(resolution,[status(thm)],[f2510,f2408]) ).
fof(f6357,plain,
! [X0] :
( icext(X0,sK123_skl(X0,uri_ex_c1))
| icext(uri_ex_c1,sK123_skl(X0,uri_ex_c1))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,uri_ex_c1,X0) ),
inference(resolution,[status(thm)],[f1813,f3449]) ).
fof(f14778,plain,
( icext(uri_ex_c2,sK123_skl(uri_ex_c2,uri_ex_c1))
| icext(uri_ex_c1,sK123_skl(uri_ex_c2,uri_ex_c1))
| iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2) ),
inference(resolution,[status(thm)],[f6357,f3450]) ).
fof(f14810,plain,
( icext(uri_ex_c2,sK123_skl(uri_ex_c2,uri_ex_c1))
| icext(uri_ex_c1,sK123_skl(uri_ex_c2,uri_ex_c1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f14778,f2405]) ).
fof(f15960,plain,
! [X0] :
( icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3826,f2411]) ).
fof(f15961,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3824,f2411]) ).
fof(f16770,plain,
! [X0] :
( icext(uri_ex_c1,X0)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3825,f2413]) ).
fof(f16771,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3823,f2413]) ).
fof(f17230,plain,
icext(uri_ex_c2,uri_ex_x),
inference(resolution,[status(thm)],[f15960,f2410]) ).
fof(f17232,plain,
! [X0] :
( X0 = uri_ex_x
| ~ icext(uri_ex_c2,X0) ),
inference(resolution,[status(thm)],[f15961,f2410]) ).
fof(f17236,plain,
icext(uri_ex_c1,uri_ex_x),
inference(resolution,[status(thm)],[f16770,f2412]) ).
fof(f17237,plain,
! [X0] :
( X0 = uri_ex_x
| ~ icext(uri_ex_c1,X0) ),
inference(resolution,[status(thm)],[f16771,f2412]) ).
fof(f18211,plain,
( icext(uri_ex_c1,sK123_skl(uri_ex_c2,uri_ex_c1))
| sK123_skl(uri_ex_c2,uri_ex_c1) = uri_ex_x ),
inference(resolution,[status(thm)],[f17232,f14810]) ).
fof(f19120,plain,
sK123_skl(uri_ex_c2,uri_ex_c1) = uri_ex_x,
inference(backward_subsumption_resolution,[status(thm)],[f18211,f17237]) ).
fof(f19718,plain,
( ~ icext(uri_ex_c2,uri_ex_x)
| ~ icext(uri_ex_c1,sK123_skl(uri_ex_c2,uri_ex_c1))
| ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c1)
| iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2) ),
inference(paramodulation,[status(thm)],[f19120,f1812]) ).
fof(f19742,plain,
( ~ icext(uri_ex_c2,uri_ex_x)
| ~ icext(uri_ex_c1,uri_ex_x)
| ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c1)
| iext(uri_owl_equivalentClass,uri_ex_c1,uri_ex_c2) ),
inference(forward_demodulation,[status(thm)],[f19120,f19718]) ).
fof(f19743,plain,
( ~ icext(uri_ex_c2,uri_ex_x)
| ~ icext(uri_ex_c1,uri_ex_x)
| ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c1) ),
inference(forward_subsumption_resolution,[status(thm)],[f19742,f2405]) ).
fof(f22953,plain,
( ~ icext(uri_ex_c2,uri_ex_x)
| ~ icext(uri_ex_c1,uri_ex_x)
| ~ ic(uri_ex_c2) ),
inference(forward_subsumption_resolution,[status(thm)],[f19743,f3449]) ).
fof(f22954,plain,
( ~ icext(uri_ex_c1,uri_ex_x)
| ~ ic(uri_ex_c2) ),
inference(resolution,[status(thm)],[f22953,f17230]) ).
fof(f22955,plain,
~ icext(uri_ex_c1,uri_ex_x),
inference(forward_subsumption_resolution,[status(thm)],[f22954,f3450]) ).
fof(f22960,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f22955,f17236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB063+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Computer : n008.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8046.5625MB
% 0.13/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Sep 21 07:46:08 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 49.39/6.84 % Refutation found
% 49.39/6.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 49.39/6.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.01/6.94 % Elapsed time: 6.548602 seconds
% 2.01/6.94 % CPU time: 50.607576 seconds
% 2.01/6.94 % Total memory used: 255.151 MB
% 2.01/6.94 % Net memory used: 241.523 MB
%------------------------------------------------------------------------------