%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWB025+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 04:05:17 PM UTC 2025
% Result : Theorem 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 31 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 87 ( 30 ~; 27 |; 25 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 12 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties,plain,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties_negated,plain,
~ ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(15,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(cnf,[status(esa)],[testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties_negated]) ).
cnf(l0,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(instantiation,[status(thm)],[15]) ).
fof(owl_chain_002,plain,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_first,S1,P1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S2,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ip(P)
& ip(P1)
& ip(P2)
& ! [Y0,Y1,Y2] :
( ( iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) )
=> iext(P,Y0,Y2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
cnf(3,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,X7,X5)
| ~ iext(uri_rdf_first,X5,X0)
| ~ iext(uri_rdf_first,X6,X3)
| iext(X7,X1,X4) ),
inference(cnf,[status(esa)],[owl_chain_002]) ).
cnf(l1,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
| ~ iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
| ~ iext(uri_rdf_rest,sK6,sK7)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_hasCousin)
| ~ iext(uri_rdf_first,sK7,uri_ex_hasFather)
| iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l2,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| ~ iext(sK10,uri_ex_dave,uri_ex_alice)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8)
| ~ iext(uri_rdf_first,sK8,uri_ex_hasUncle)
| ~ iext(uri_rdf_first,sK9,sK10)
| iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(instantiation,[status(thm)],[3]) ).
fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,plain,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
cnf(19,plain,
iext(uri_rdf_first,sK7,uri_ex_hasFather),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l41,plain,
iext(uri_rdf_first,sK7,uri_ex_hasFather),
inference(instantiation,[status(thm)],[19]) ).
cnf(18,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l36,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(instantiation,[status(thm)],[18]) ).
cnf(25,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l50,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(instantiation,[status(thm)],[25]) ).
cnf(29,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l10,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(instantiation,[status(thm)],[29]) ).
cnf(30,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l3,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(instantiation,[status(thm)],[30]) ).
fof(owl_inv,plain,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
cnf(10,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_owl_inverseOf,X3,X0)
| iext(X3,X2,X1) ),
inference(cnf,[status(esa)],[owl_inv]) ).
cnf(l4,plain,
( ~ iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
| ~ iext(uri_owl_inverseOf,sK10,uri_ex_hasFather)
| iext(sK10,uri_ex_dave,uri_ex_alice) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(23,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l47,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(instantiation,[status(thm)],[23]) ).
cnf(16,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK6),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l40,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK6),
inference(instantiation,[status(thm)],[16]) ).
cnf(26,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_hasFather),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l9,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_hasFather),
inference(instantiation,[status(thm)],[26]) ).
cnf(28,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l17,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(instantiation,[status(thm)],[28]) ).
cnf(17,plain,
iext(uri_rdf_first,sK6,uri_ex_hasCousin),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l43,plain,
iext(uri_rdf_first,sK6,uri_ex_hasCousin),
inference(instantiation,[status(thm)],[17]) ).
cnf(20,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l44,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(instantiation,[status(thm)],[20]) ).
cnf(22,plain,
iext(uri_rdf_first,sK8,uri_ex_hasUncle),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l51,plain,
iext(uri_rdf_first,sK8,uri_ex_hasUncle),
inference(instantiation,[status(thm)],[22]) ).
cnf(21,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l49,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8),
inference(instantiation,[status(thm)],[21]) ).
cnf(27,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l12,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(instantiation,[status(thm)],[27]) ).
cnf(24,plain,
iext(uri_rdf_first,sK9,sK10),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l64,plain,
iext(uri_rdf_first,sK9,sK10),
inference(instantiation,[status(thm)],[24]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l41,l36,l50,l10,l3,l4,l47,l40,l9,l17,l43,l44,l51,l49,l12,l64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB025+2 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 04:13:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.45 % SZS status Theorem for theBenchmark
% 0.18/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------