%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 : Fri Sep 25 03:04:30 PM UTC 2026
% Result : Theorem 3.26s 6.31s
% Output : CNFRefutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 70 ( 31 unt; 0 def)
% Number of atoms : 377 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 518 ( 211 ~; 211 |; 89 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-3 aty)
% Number of variables : 174 ( 0 sgn 154 !; 20 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ( iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f3,conjecture,
( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f4,negated_conjecture,
~ ( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
? [X0,X1,X2,X3,X4] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,X4,uri_ex_hasFather)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_hasFather)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(ennf_transformation,[],[f4]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ( ! [X5,X6,X7] :
( ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ( ! [X5,X6,X7] :
( ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ( ! [X8,X9,X10] :
( ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(rectify,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ( ! [X8,X9,X10] :
( ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ( iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4))
& ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4)) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X5,sK0(X0,X2,X4)),skolemize(X6,sK1(X0,X2,X4)),skolemize(X7,sK2(X0,X2,X4))],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X2,X3] :
( ( ~ iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X2,X3] :
( ( ~ iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X4,X5] :
( ( ~ iext(X0,X4,X5)
| iext(X1,X5,X4) )
& ( ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X4,X5] :
( ( ~ iext(X0,X4,X5)
| iext(X1,X5,X4) )
& ( ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) ) )
& ( ( ( iext(X0,sK3(X0,X1),sK4(X0,X1))
| iext(X1,sK4(X0,X1),sK3(X0,X1)) )
& ( ~ iext(X0,sK3(X0,X1),sK4(X0,X1))
| ~ iext(X1,sK4(X0,X1),sK3(X0,X1)) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1))],[f15]) ).
fof(f17,plain,
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,sK9,uri_ex_hasFather)
& iext(uri_rdf_rest,sK8,uri_rdf_nil)
& iext(uri_rdf_first,sK8,sK9)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK7,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_hasFather)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9)],[f5]) ).
fof(f18,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) ),
inference(cnf_transformation,[],[f12]) ).
fof(f26,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f17]) ).
fof(f34,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
iext(uri_owl_inverseOf,sK9,uri_ex_hasFather),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
iext(uri_rdf_rest,sK8,uri_rdf_nil),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
iext(uri_rdf_first,sK8,sK9),
inference(cnf_transformation,[],[f17]) ).
fof(f39,plain,
iext(uri_rdf_rest,sK7,sK8),
inference(cnf_transformation,[],[f17]) ).
fof(f40,plain,
iext(uri_rdf_first,sK7,uri_ex_hasUncle),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
iext(uri_rdf_first,sK6,uri_ex_hasFather),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
iext(uri_rdf_first,sK5,uri_ex_hasCousin),
inference(cnf_transformation,[],[f17]) ).
fof(f46,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5),
inference(cnf_transformation,[],[f17]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X3)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X3,X2,X1)
| ~ iext(uri_owl_inverseOf,X3,X0)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_62,negated_conjecture,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_63,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5),
inference(cnf_transformation,[],[f46]) ).
tcf(c_64,plain,
iext(uri_rdf_first,sK5,uri_ex_hasCousin),
inference(cnf_transformation,[],[f45]) ).
tcf(c_65,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(cnf_transformation,[],[f44]) ).
tcf(c_66,plain,
iext(uri_rdf_first,sK6,uri_ex_hasFather),
inference(cnf_transformation,[],[f43]) ).
tcf(c_67,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f42]) ).
tcf(c_68,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7),
inference(cnf_transformation,[],[f41]) ).
tcf(c_69,plain,
iext(uri_rdf_first,sK7,uri_ex_hasUncle),
inference(cnf_transformation,[],[f40]) ).
tcf(c_70,plain,
iext(uri_rdf_rest,sK7,sK8),
inference(cnf_transformation,[],[f39]) ).
tcf(c_71,plain,
iext(uri_rdf_first,sK8,sK9),
inference(cnf_transformation,[],[f38]) ).
tcf(c_72,plain,
iext(uri_rdf_rest,sK8,uri_rdf_nil),
inference(cnf_transformation,[],[f37]) ).
tcf(c_73,plain,
iext(uri_owl_inverseOf,sK9,uri_ex_hasFather),
inference(cnf_transformation,[],[f36]) ).
tcf(c_74,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f35]) ).
tcf(c_75,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f34]) ).
tcf(c_76,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f33]) ).
tcf(c_77,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f32]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] :
( iext(sK9,X1,X0)
| ~ iext(uri_owl_inverseOf,sK9,uri_ex_hasFather)
| ~ iext(uri_ex_hasFather,X0,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X6,sK6)
| ~ iext(uri_rdf_first,sK6,X3)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,sK8,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X6,sK8)
| ~ iext(uri_rdf_first,sK8,X3)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( iext(X3,X1,X5)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK6,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,X4,sK6)
| ~ iext(uri_ex_hasFather,X2,X5)
| ~ iext(uri_rdf_first,X4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_280]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( iext(X3,X1,X5)
| ~ iext(uri_rdf_rest,sK8,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8,sK9)
| ~ iext(uri_rdf_rest,X4,sK8)
| ~ iext(sK9,X2,X5)
| ~ iext(uri_rdf_first,X4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_281]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(X4,X1,X3)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK5,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_hasFather)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_owl_propertyChainAxiom,X4,sK5)
| ~ iext(uri_ex_hasFather,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(X4,X1,X3)
| ~ iext(uri_rdf_rest,sK8,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK7,sK8)
| ~ iext(uri_rdf_first,sK8,sK9)
| ~ iext(uri_rdf_first,sK7,X0)
| ~ iext(uri_owl_propertyChainAxiom,X4,sK7)
| ~ iext(sK9,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X3,X0,X2)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK5,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_hasFather)
| ~ iext(uri_rdf_first,sK5,uri_ex_hasCousin)
| ~ iext(uri_owl_propertyChainAxiom,X3,sK5)
| ~ iext(uri_ex_hasFather,X1,X2)
| ~ iext(uri_ex_hasCousin,X0,X1) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X3,X0,X2)
| ~ iext(uri_rdf_rest,sK8,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK7,sK8)
| ~ iext(uri_rdf_first,sK8,sK9)
| ~ iext(uri_rdf_first,sK7,uri_ex_hasUncle)
| ~ iext(uri_owl_propertyChainAxiom,X3,sK7)
| ~ iext(sK9,X1,X2)
| ~ iext(uri_ex_hasUncle,X0,X1) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_685,plain,
( iext(sK9,uri_ex_dave,uri_ex_alice)
| ~ iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
| ~ iext(uri_owl_inverseOf,sK9,uri_ex_hasFather) ),
inference(instantiation,[status(thm)],[c_268]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(uri_ex_hasUncle,X0,X2)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK5,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_hasFather)
| ~ iext(uri_rdf_first,sK5,uri_ex_hasCousin)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5)
| ~ iext(uri_ex_hasFather,X1,X2)
| ~ iext(uri_ex_hasCousin,X0,X1) ),
inference(instantiation,[status(thm)],[c_404]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(uri_ex_hasCousin,X0,X2)
| ~ iext(uri_rdf_rest,sK8,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK7,sK8)
| ~ iext(uri_rdf_first,sK8,sK9)
| ~ iext(uri_rdf_first,sK7,uri_ex_hasUncle)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7)
| ~ iext(sK9,X1,X2)
| ~ iext(uri_ex_hasUncle,X0,X1) ),
inference(instantiation,[status(thm)],[c_406]) ).
tcf(c_921,plain,
! [X0: $i] :
( iext(uri_ex_hasUncle,uri_ex_alice,X0)
| ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK5,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_hasFather)
| ~ iext(uri_rdf_first,sK5,uri_ex_hasCousin)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5)
| ~ iext(uri_ex_hasFather,uri_ex_bob,X0) ),
inference(instantiation,[status(thm)],[c_823]) ).
tcf(c_923,plain,
! [X0: $i] :
( iext(uri_ex_hasCousin,uri_ex_bob,X0)
| ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| ~ iext(uri_rdf_rest,sK8,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK7,sK8)
| ~ iext(uri_rdf_first,sK8,sK9)
| ~ iext(uri_rdf_first,sK7,uri_ex_hasUncle)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7)
| ~ iext(sK9,uri_ex_dave,X0) ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_1627,plain,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK5,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_hasFather)
| ~ iext(uri_rdf_first,sK5,uri_ex_hasCousin)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5) ),
inference(instantiation,[status(thm)],[c_921]) ).
tcf(c_1628,plain,
( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(sK9,uri_ex_dave,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| ~ iext(uri_rdf_rest,sK8,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK7,sK8)
| ~ iext(uri_rdf_first,sK8,sK9)
| ~ iext(uri_rdf_first,sK7,uri_ex_hasUncle)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7) ),
inference(instantiation,[status(thm)],[c_923]) ).
tcf(c_1629,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1628,c_1627,c_685,c_62,c_63,c_64,c_65,c_66,c_67,c_68,c_69,c_70,c_71,c_72,c_73,c_74,c_75,c_76,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.40 % Computer : n019.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Thu Sep 24 15:33:55 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.44 Running first-order theorem proving
% 0.13/5.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.45
% 0.13/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.45
% 0.13/5.45 % Detected problem language: tptp
% 0.13/5.46 % Proving...
% 3.26/6.31 % SZS status Started for theBenchmark.p
% 3.26/6.31 % SZS status Theorem for theBenchmark.p
% 3.26/6.31
% 3.26/6.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.26/6.31
% 3.26/6.31 % ------ iProver source info
% 3.26/6.31
% 3.26/6.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.26/6.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.26/6.31 % git: non_committed_changes: false
% 3.26/6.31
% 3.26/6.31 % ------ Parsing...
% 3.26/6.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.26/6.31
% 3.26/6.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.26/6.31
% 3.26/6.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.26/6.31 % ------ Proving...
% 3.26/6.31 % ------ Problem Properties
% 3.26/6.31
% 3.26/6.31 %
% 3.26/6.31 % clauses 29
% 3.26/6.31 % conjectures 1
% 3.26/6.31 % EPR 24
% 3.26/6.31 % Horn 26
% 3.26/6.31 % unary 15
% 3.26/6.31 % binary 3
% 3.26/6.31 % lits 90
% 3.26/6.31 % lits eq 0
% 3.26/6.31 % fd_pure 0
% 3.26/6.31 % fd_pseudo 0
% 3.26/6.31 % fd_cond 0
% 3.26/6.31 % fd_pseudo_cond 0
% 3.26/6.31 % AC symbols 0
% 3.26/6.31
% 3.26/6.31 % ------ Schedule dynamic 5 is on
% 3.26/6.31
% 3.26/6.31 % ------ no equalities: superposition off
% 3.26/6.31
% 3.26/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.26/6.31
% 3.26/6.31
% 3.26/6.31 % ------
% 3.26/6.31 % Current options:
% 3.26/6.31 % ------
% 3.26/6.31
% 3.26/6.31
% 3.26/6.31 %
% 3.26/6.31
% 3.26/6.31 % ------ Proving...
% 3.26/6.31 %
% 3.26/6.31
% 3.26/6.31 % SZS status Theorem for theBenchmark.p
% 3.26/6.31
% 3.26/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.26/6.31
% 3.26/6.31
%------------------------------------------------------------------------------