%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB010+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 02:37:03 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 92 ( 15 unt; 3 def)
% Number of atoms : 338 ( 15 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 392 ( 146 ~; 153 |; 74 &)
% ( 12 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-4 aty)
% Number of variables : 178 ( 162 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( iext(uri_owl_sourceIndividual,X,Y)
=> ( ir(Y)
& icext(uri_owl_NegativePropertyAssertion,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( iext(uri_owl_onProperty,X,Y)
=> ( ip(Y)
& icext(uri_owl_Restriction,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,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(f7,axiom,
! [Z,P,C] :
( ( iext(uri_owl_onProperty,Z,P)
& iext(uri_owl_allValuesFrom,Z,C) )
=> ! [X] :
( icext(Z,X)
<=> ! [Y] :
( iext(P,X,Y)
=> icext(C,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [P,A1,A2] :
( ( ~ iext(P,A1,A2)
& ir(A2)
& ip(P)
& ir(A1) )
=> ? [Z] :
( iext(uri_owl_targetIndividual,Z,A2)
& iext(uri_owl_assertionProperty,Z,P)
& iext(uri_owl_sourceIndividual,Z,A1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
? [BNODE_z] :
( iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
& iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
& iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ? [BNODE_z] :
( iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
& iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
& iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,axiom,
? [BNODE_x1,BNODE_x2,BNODE_x3,BNODE_x4] :
( iext(uri_rdf_rest,BNODE_x4,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_x4,uri_ex_o)
& iext(uri_owl_oneOf,BNODE_x3,BNODE_x4)
& iext(uri_owl_complementOf,BNODE_x2,BNODE_x3)
& iext(uri_owl_allValuesFrom,BNODE_x1,BNODE_x2)
& iext(uri_owl_onProperty,BNODE_x1,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,BNODE_x1)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,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)],[f2]) ).
fof(f14,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)],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f17,plain,
! [X,Y] :
( ( ir(Y)
& icext(uri_owl_NegativePropertyAssertion,X) )
| ~ iext(uri_owl_sourceIndividual,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( icext(uri_owl_NegativePropertyAssertion,X0)
| ~ iext(uri_owl_sourceIndividual,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f20,plain,
! [X,Y] :
( ( ip(Y)
& icext(uri_owl_Restriction,X) )
| ~ iext(uri_owl_onProperty,X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
! [X0,X1] :
( ip(X1)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f23,plain,
! [Z,C] :
( ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f24,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(C,X)
| icext(Z,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [Z,C] :
( ( ! [X] :
( icext(C,X)
| icext(Z,X) )
& ! [X] :
( ~ icext(C,X)
| ~ icext(Z,X) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f30,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)],[f6]) ).
fof(f31,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)],[f30]) ).
fof(f32,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)],[f31]) ).
fof(f33,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))],[f32]) ).
fof(f36,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)],[f33]) ).
fof(f39,plain,
! [Z,P,C] :
( ! [X] :
( icext(Z,X)
<=> ! [Y] :
( icext(C,Y)
| ~ iext(P,X,Y) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_allValuesFrom,Z,C) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f40,plain,
! [Z,P,C] :
( ! [X] :
( ( ? [Y] :
( ~ icext(C,Y)
& iext(P,X,Y) )
| icext(Z,X) )
& ( ! [Y] :
( icext(C,Y)
| ~ iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_allValuesFrom,Z,C) ),
inference(NNF_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [Z,P,C] :
( ( ! [X] :
( ? [Y] :
( ~ icext(C,Y)
& iext(P,X,Y) )
| icext(Z,X) )
& ! [X] :
( ! [Y] :
( icext(C,Y)
| ~ iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_allValuesFrom,Z,C) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f42,plain,
! [Z,P,C] :
( ( ! [X] :
( ( ~ icext(C,sK1_skl(X,C,P,Z))
& iext(P,X,sK1_skl(X,C,P,Z)) )
| icext(Z,X) )
& ! [X] :
( ! [Y] :
( icext(C,Y)
| ~ iext(P,X,Y) )
| ~ icext(Z,X) ) )
| ~ iext(uri_owl_onProperty,Z,P)
| ~ iext(uri_owl_allValuesFrom,Z,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X,C,P,Z))],[f41]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( icext(X1,X4)
| ~ iext(X2,X3,X4)
| ~ icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X2)
| ~ iext(uri_owl_allValuesFrom,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f46,plain,
! [P,A1,A2] :
( ? [Z] :
( iext(uri_owl_targetIndividual,Z,A2)
& iext(uri_owl_assertionProperty,Z,P)
& iext(uri_owl_sourceIndividual,Z,A1) )
| iext(P,A1,A2)
| ~ ir(A2)
| ~ ip(P)
| ~ ir(A1) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f47,plain,
! [P,A1,A2] :
( ( iext(uri_owl_targetIndividual,sK2_skl(A2,A1,P),A2)
& iext(uri_owl_assertionProperty,sK2_skl(A2,A1,P),P)
& iext(uri_owl_sourceIndividual,sK2_skl(A2,A1,P),A1) )
| iext(P,A1,A2)
| ~ ir(A2)
| ~ ip(P)
| ~ ir(A1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Z,sK2_skl(A2,A1,P))],[f46]) ).
fof(f48,plain,
! [X0,X1,X2] :
( iext(uri_owl_sourceIndividual,sK2_skl(X2,X0,X1),X0)
| iext(X1,X0,X2)
| ~ ir(X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( iext(uri_owl_assertionProperty,sK2_skl(X2,X0,X1),X1)
| iext(X1,X0,X2)
| ~ ir(X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f50,plain,
! [X0,X1,X2] :
( iext(uri_owl_targetIndividual,sK2_skl(X2,X0,X1),X2)
| iext(X1,X0,X2)
| ~ ir(X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f51,plain,
! [BNODE_z] :
( ~ iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
| ~ iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f52,plain,
! [X0] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
| ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
? [BNODE_x4] :
( iext(uri_rdf_rest,BNODE_x4,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_x4,uri_ex_o)
& ? [BNODE_x3] :
( iext(uri_owl_oneOf,BNODE_x3,BNODE_x4)
& ? [BNODE_x2] :
( iext(uri_owl_complementOf,BNODE_x2,BNODE_x3)
& ? [BNODE_x1] :
( iext(uri_owl_allValuesFrom,BNODE_x1,BNODE_x2)
& iext(uri_owl_onProperty,BNODE_x1,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,BNODE_x1)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f54,plain,
( iext(uri_rdf_rest,sK3_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK3_skl,uri_ex_o)
& iext(uri_owl_oneOf,sK4_skl,sK3_skl)
& iext(uri_owl_complementOf,sK5_skl,sK4_skl)
& iext(uri_owl_allValuesFrom,sK6_skl,sK5_skl)
& iext(uri_owl_onProperty,sK6_skl,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,sK6_skl)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(BNODE_x4,sK3_skl),skolemize(BNODE_x3,sK4_skl),skolemize(BNODE_x2,sK5_skl),skolemize(BNODE_x1,sK6_skl)],[f53]) ).
fof(f56,plain,
iext(uri_rdf_type,uri_ex_s,sK6_skl),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f57,plain,
iext(uri_owl_onProperty,sK6_skl,uri_ex_p),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f58,plain,
iext(uri_owl_allValuesFrom,sK6_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f59,plain,
iext(uri_owl_complementOf,sK5_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f60,plain,
iext(uri_owl_oneOf,sK4_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f61,plain,
iext(uri_rdf_first,sK3_skl,uri_ex_o),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f62,plain,
iext(uri_rdf_rest,sK3_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f63,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)],[f36]) ).
fof(f64,plain,
! [X0] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
| ~ icext(uri_owl_NegativePropertyAssertion,X0) ),
inference(resolution,[status(thm)],[f16,f52]) ).
fof(f65,plain,
! [X0] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
inference(forward_subsumption_resolution,[status(thm)],[f64,f18]) ).
fof(f66,plain,
! [X0,X1,X2] :
( iext(uri_owl_targetIndividual,sK2_skl(X2,X0,X1),X2)
| iext(X1,X0,X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f50,f12]) ).
fof(f67,plain,
! [X0,X1,X2] :
( iext(uri_owl_assertionProperty,sK2_skl(X2,X0,X1),X1)
| iext(X1,X0,X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f49,f12]) ).
fof(f68,plain,
! [X0,X1,X2] :
( iext(uri_owl_targetIndividual,sK2_skl(X2,X1,X0),X2)
| iext(X0,X1,X2)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f66,f12]) ).
fof(f69,plain,
! [X0,X1,X2] :
( iext(uri_owl_assertionProperty,sK2_skl(X2,X1,X0),X0)
| iext(X0,X1,X2)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f12]) ).
fof(f70,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[f22,f57]) ).
fof(f71,plain,
! [X0,X1] :
( iext(uri_owl_assertionProperty,sK2_skl(X1,X0,uri_ex_p),uri_ex_p)
| iext(uri_ex_p,X0,X1) ),
inference(resolution,[status(thm)],[f70,f69]) ).
fof(f72,plain,
! [X0,X1] :
( iext(uri_owl_targetIndividual,sK2_skl(X1,X0,uri_ex_p),X1)
| iext(uri_ex_p,X0,X1) ),
inference(resolution,[status(thm)],[f70,f68]) ).
fof(f73,plain,
! [X0] :
( ~ icext(sK4_skl,X0)
| ~ icext(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f28,f59]) ).
fof(f82,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_owl_oneOf,X1,sK3_skl)
| ~ iext(uri_rdf_first,sK3_skl,X0) ),
inference(resolution,[status(thm)],[f63,f62]) ).
fof(f83,plain,
! [X0] :
( icext(X0,uri_ex_o)
| ~ iext(uri_owl_oneOf,X0,sK3_skl) ),
inference(resolution,[status(thm)],[f82,f61]) ).
fof(f84,plain,
icext(sK4_skl,uri_ex_o),
inference(resolution,[status(thm)],[f83,f60]) ).
fof(f86,plain,
~ icext(sK5_skl,uri_ex_o),
inference(resolution,[status(thm)],[f84,f73]) ).
fof(f92,plain,
! [X0,X1,X2] :
( iext(uri_owl_sourceIndividual,sK2_skl(X1,X2,X0),X2)
| iext(X0,X2,X1)
| ~ ir(X1)
| ~ ip(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f12]) ).
fof(f93,plain,
! [X0,X1,X2] :
( iext(uri_owl_sourceIndividual,sK2_skl(X2,X1,X0),X1)
| iext(X0,X1,X2)
| ~ ip(X0) ),
inference(resolution,[status(thm)],[f92,f12]) ).
fof(f94,plain,
! [X0,X1] :
( iext(uri_owl_sourceIndividual,sK2_skl(X1,X0,uri_ex_p),X0)
| iext(uri_ex_p,X0,X1) ),
inference(resolution,[status(thm)],[f93,f70]) ).
fof(f95,plain,
! [X0,X1,X2] :
( icext(X0,X2)
| ~ iext(uri_ex_p,X1,X2)
| ~ icext(sK6_skl,X1)
| ~ iext(uri_owl_allValuesFrom,sK6_skl,X0) ),
inference(resolution,[status(thm)],[f43,f57]) ).
fof(f96,plain,
! [X0,X1] :
( icext(sK5_skl,X1)
| ~ iext(uri_ex_p,X0,X1)
| ~ icext(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f95,f58]) ).
fof(f97,plain,
! [X0] :
( ~ iext(uri_ex_p,X0,uri_ex_o)
| ~ icext(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f96,f86]) ).
fof(f98,plain,
! [X0] :
( iext(uri_owl_sourceIndividual,sK2_skl(uri_ex_o,X0,uri_ex_p),X0)
| ~ icext(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f97,f94]) ).
fof(f99,plain,
( ~ iext(uri_owl_targetIndividual,sK2_skl(uri_ex_o,uri_ex_s,uri_ex_p),uri_ex_o)
| ~ iext(uri_owl_assertionProperty,sK2_skl(uri_ex_o,uri_ex_s,uri_ex_p),uri_ex_p)
| ~ icext(sK6_skl,uri_ex_s) ),
inference(resolution,[status(thm)],[f98,f65]) ).
fof(f100,definition,
( sQ0_spl
<=> icext(sK6_skl,uri_ex_s) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ0_spl
| ~ icext(sK6_skl,uri_ex_s) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ1_spl
<=> iext(uri_owl_assertionProperty,sK2_skl(uri_ex_o,uri_ex_s,uri_ex_p),uri_ex_p) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( sQ1_spl
| ~ iext(uri_owl_assertionProperty,sK2_skl(uri_ex_o,uri_ex_s,uri_ex_p),uri_ex_p) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,definition,
( sQ2_spl
<=> iext(uri_owl_targetIndividual,sK2_skl(uri_ex_o,uri_ex_s,uri_ex_p),uri_ex_o) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ2_spl
| ~ iext(uri_owl_targetIndividual,sK2_skl(uri_ex_o,uri_ex_s,uri_ex_p),uri_ex_o) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f99,f100,f103,f106]) ).
fof(f110,plain,
( sQ2_spl
| iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
inference(resolution,[status(thm)],[f108,f72]) ).
fof(f111,plain,
( sQ2_spl
| ~ icext(sK6_skl,uri_ex_s) ),
inference(resolution,[status(thm)],[f110,f97]) ).
fof(f112,plain,
( sQ2_spl
| ~ iext(uri_rdf_type,uri_ex_s,sK6_skl) ),
inference(resolution,[status(thm)],[f111,f15]) ).
fof(f113,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f56]) ).
fof(f114,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ0_spl
| ~ iext(uri_rdf_type,uri_ex_s,sK6_skl) ),
inference(resolution,[status(thm)],[f102,f15]) ).
fof(f116,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f56]) ).
fof(f117,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f121,plain,
( sQ1_spl
| iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
inference(resolution,[status(thm)],[f105,f71]) ).
fof(f122,plain,
( sQ1_spl
| ~ icext(sK6_skl,uri_ex_s) ),
inference(resolution,[status(thm)],[f121,f97]) ).
fof(f123,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f122,f100,f103]) ).
fof(f124,plain,
$false,
inference(sat_refutation,[status(thm)],[f109,f114,f117,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % 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 07:39:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.060698 seconds
% 0.13/0.42 % CPU time: 0.167867 seconds
% 0.13/0.42 % Total memory used: 81.405 MB
% 0.13/0.42 % Net memory used: 81.125 MB
%------------------------------------------------------------------------------