%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB031+2 : 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 02:37:12 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 17 unt; 0 def)
% Number of atoms : 166 ( 20 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 195 ( 70 ~; 74 |; 43 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 91 ( 83 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : ~ icext(uri_owl_Nothing,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,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(f5,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(f6,axiom,
? [BNODE_x,BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X] :
( ( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
( ! [X] :
( ~ ir(X)
| icext(uri_owl_Thing,X) )
& ! [X] :
( ir(X)
| ~ icext(uri_owl_Thing,X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f11,plain,
! [X0] :
( ~ ir(X0)
| icext(uri_owl_Thing,X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
! [X0] : ~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,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)],[f4]) ).
fof(f14,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)],[f13]) ).
fof(f15,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)],[f14]) ).
fof(f16,plain,
! [S1,A1] :
( ( ! [Z] :
( ( ( sK0_skl(Z,A1,S1) = A1
| icext(Z,sK0_skl(Z,A1,S1)) )
& ( sK0_skl(Z,A1,S1) != A1
| ~ icext(Z,sK0_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,[sK0_skl]),skolemize(X,sK0_skl(Z,A1,S1))],[f15]) ).
fof(f18,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)],[f16]) ).
fof(f22,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)],[f5]) ).
fof(f23,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)],[f22]) ).
fof(f24,plain,
( ! [C1,C2] :
( ( ( icext(C2,sK1_skl(C2,C1))
| icext(C1,sK1_skl(C2,C1)) )
& ( ~ icext(C2,sK1_skl(C2,C1))
| ~ icext(C1,sK1_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,[sK1_skl]),skolemize(X,sK1_skl(C2,C1))],[f23]) ).
fof(f27,plain,
! [X0,X1,X2] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f31,plain,
? [BNODE_l] :
( iext(uri_rdf_rest,BNODE_l,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l,uri_ex_w)
& ? [BNODE_x] :
( iext(uri_owl_oneOf,BNODE_x,BNODE_l)
& iext(uri_owl_equivalentClass,uri_owl_Thing,BNODE_x) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f32,plain,
( iext(uri_rdf_rest,sK2_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK2_skl,uri_ex_w)
& iext(uri_owl_oneOf,sK3_skl,sK2_skl)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(BNODE_l,sK2_skl),skolemize(BNODE_x,sK3_skl)],[f31]) ).
fof(f33,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK3_skl),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
iext(uri_owl_oneOf,sK3_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
iext(uri_rdf_first,sK2_skl,uri_ex_w),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f36,plain,
iext(uri_rdf_rest,sK2_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f38,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(forward_subsumption_resolution,[status(thm)],[f11,f7]) ).
fof(f42,plain,
! [X0,X1] :
( X1 = uri_ex_w
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK2_skl)
| ~ iext(uri_rdf_rest,sK2_skl,uri_rdf_nil) ),
inference(resolution,[status(thm)],[f18,f35]) ).
fof(f43,plain,
! [X0,X1] :
( X1 = uri_ex_w
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f36]) ).
fof(f44,plain,
! [X0] :
( icext(sK3_skl,X0)
| ~ icext(uri_owl_Thing,X0) ),
inference(resolution,[status(thm)],[f27,f33]) ).
fof(f45,plain,
! [X0] : icext(sK3_skl,X0),
inference(forward_subsumption_resolution,[status(thm)],[f44,f38]) ).
fof(f47,plain,
! [X0] :
( X0 = uri_ex_w
| ~ icext(sK3_skl,X0) ),
inference(resolution,[status(thm)],[f43,f34]) ).
fof(f48,plain,
! [X0] : X0 = uri_ex_w,
inference(forward_subsumption_resolution,[status(thm)],[f47,f45]) ).
fof(f49,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f48,f48]) ).
fof(f50,plain,
! [X0] : iext(uri_rdf_first,sK2_skl,X0),
inference(paramodulation,[status(thm)],[f48,f35]) ).
fof(f57,plain,
! [X0,X1] : iext(X0,sK2_skl,X1),
inference(paramodulation,[status(thm)],[f49,f50]) ).
fof(f69,plain,
! [X0,X1,X2] : iext(X0,X1,X2),
inference(paramodulation,[status(thm)],[f49,f57]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ icext(X2,X1)
| icext(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f28,f69]) ).
fof(f77,plain,
! [X0,X1] : icext(X0,X1),
inference(resolution,[status(thm)],[f74,f45]) ).
fof(f80,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:43:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.036422 seconds
% 0.13/0.40 % CPU time: 0.080932 seconds
% 0.13/0.40 % Total memory used: 1.908 MB
% 0.13/0.40 % Net memory used: 1.864 MB
%------------------------------------------------------------------------------