%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB058+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 : n006.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 94.21s 12.48s
% Output : CNFRefutation 29.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 53 ( 20 unt; 0 def)
% Number of atoms : 196 ( 29 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 221 ( 78 ~; 80 |; 54 &)
% ( 7 <=>; 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 : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 88 ( 80 !; 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(f345,axiom,
! [X,Y] :
( iext(uri_owl_differentFrom,X,Y)
<=> X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f350,axiom,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
~ ( icext(C2,X)
& icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f559,conjecture,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f560,negated_conjecture,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X1,X0] :
( iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y)
& iext(uri_owl_oneOf,uri_ex_c1,X1)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_x)
& 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(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(f1796,plain,
! [C1,C2] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f350]) ).
fof(f1797,plain,
! [C1,C2] :
( ( ? [X] :
( icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(NNF_transformation,[status(thm)],[f1796]) ).
fof(f1798,plain,
( ! [C1,C2] :
( ? [X] :
( icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(miniscoping,[status(thm)],[f1797]) ).
fof(f1799,plain,
( ! [C1,C2] :
( ( icext(C2,sK122_skl(C2,C1))
& icext(C1,sK122_skl(C2,C1)) )
| ~ ic(C2)
| ~ ic(C1)
| iext(uri_owl_disjointWith,C1,C2) )
& ! [C1,C2] :
( ( ! [X] :
( ~ icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_disjointWith,C1,C2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122_skl]),skolemize(X,sK122_skl(C2,C1))],[f1798]) ).
fof(f1803,plain,
! [X0,X1] :
( icext(X0,sK122_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1799]) ).
fof(f1804,plain,
! [X0,X1] :
( icext(X1,sK122_skl(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1799]) ).
fof(f2405,plain,
~ iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
? [X0] :
( iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y)
& ? [X1] :
( iext(uri_owl_oneOf,uri_ex_c1,X1)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_x)
& 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_y)
& iext(uri_owl_oneOf,uri_ex_c1,sK200_skl)
& iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y)
& iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK200_skl,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_c2,sK199_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl]),skolemize(X0,sK199_skl),skolemize(X1,sK200_skl)],[f2406]) ).
fof(f2408,plain,
iext(uri_owl_oneOf,uri_ex_c2,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2409,plain,
iext(uri_rdf_first,sK200_skl,uri_ex_x),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2410,plain,
iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2411,plain,
iext(uri_owl_differentFrom,uri_ex_x,uri_ex_y),
inference(cnf_transformation,[status(thm)],[f2407]) ).
fof(f2412,plain,
iext(uri_owl_oneOf,uri_ex_c1,sK200_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(f2514,plain,
! [X0] : ~ iext(uri_owl_differentFrom,X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f1751]) ).
fof(f3450,plain,
ic(uri_ex_c1),
inference(resolution,[status(thm)],[f1010,f2412]) ).
fof(f3451,plain,
ic(uri_ex_c2),
inference(resolution,[status(thm)],[f1010,f2408]) ).
fof(f3824,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,f2412]) ).
fof(f3825,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(resolution,[status(thm)],[f1216,f2408]) ).
fof(f6037,plain,
! [X0] :
( icext(uri_ex_c1,sK122_skl(X0,uri_ex_c1))
| ~ ic(X0)
| iext(uri_owl_disjointWith,uri_ex_c1,X0) ),
inference(resolution,[status(thm)],[f1803,f3450]) ).
fof(f6226,plain,
! [X0] :
( icext(X0,sK122_skl(X0,uri_ex_c1))
| ~ ic(X0)
| iext(uri_owl_disjointWith,uri_ex_c1,X0) ),
inference(resolution,[status(thm)],[f1804,f3450]) ).
fof(f13872,plain,
( icext(uri_ex_c1,sK122_skl(uri_ex_c2,uri_ex_c1))
| iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2) ),
inference(resolution,[status(thm)],[f6037,f3451]) ).
fof(f13904,plain,
icext(uri_ex_c1,sK122_skl(uri_ex_c2,uri_ex_c1)),
inference(forward_subsumption_resolution,[status(thm)],[f13872,f2405]) ).
fof(f14193,plain,
( icext(uri_ex_c2,sK122_skl(uri_ex_c2,uri_ex_c1))
| iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2) ),
inference(resolution,[status(thm)],[f6226,f3451]) ).
fof(f14225,plain,
icext(uri_ex_c2,sK122_skl(uri_ex_c2,uri_ex_c1)),
inference(forward_subsumption_resolution,[status(thm)],[f14193,f2405]) ).
fof(f15874,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,sK200_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3824,f2410]) ).
fof(f16693,plain,
! [X0,X1] :
( X1 = X0
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,sK199_skl,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3825,f2414]) ).
fof(f17183,plain,
! [X0] :
( X0 = uri_ex_x
| ~ icext(uri_ex_c1,X0) ),
inference(resolution,[status(thm)],[f15874,f2409]) ).
fof(f17186,plain,
! [X0] :
( X0 = uri_ex_y
| ~ icext(uri_ex_c2,X0) ),
inference(resolution,[status(thm)],[f16693,f2413]) ).
fof(f18750,plain,
sK122_skl(uri_ex_c2,uri_ex_c1) = uri_ex_x,
inference(resolution,[status(thm)],[f17183,f13904]) ).
fof(f18858,plain,
icext(uri_ex_c2,uri_ex_x),
inference(backward_demodulation,[status(thm)],[f18750,f14225]) ).
fof(f18877,plain,
uri_ex_x = uri_ex_y,
inference(resolution,[status(thm)],[f17186,f18858]) ).
fof(f18934,plain,
iext(uri_owl_differentFrom,uri_ex_x,uri_ex_x),
inference(backward_demodulation,[status(thm)],[f18877,f2411]) ).
fof(f18935,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f18934,f2514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB058+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.41 % Computer : n006.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 07:44:12 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.49 % Drodi V4.1.1
% 94.21/12.48 % Refutation found
% 94.21/12.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 94.21/12.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.17/13.35 % Elapsed time: 12.908216 seconds
% 7.17/13.35 % CPU time: 95.824107 seconds
% 7.17/13.35 % Total memory used: 359.407 MB
% 7.17/13.35 % Net memory used: 339.830 MB
%------------------------------------------------------------------------------