%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWB025+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 04:05:16 PM UTC 2025
% Result : Theorem 84.70s 10.98s
% Output : CNFRefutation 84.70s
% 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/sandbox/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(1241,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)],[1241]) ).
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('Axioms/SWB001+0.ax',owl_chain_002) ).
cnf(983,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,X5,X0)
| ~ iext(uri_rdf_first,X6,X3)
| ~ iext(uri_rdf_rest,X5,X6)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,X7,X5)
| 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_first,sK237,uri_ex_hasCousin)
| ~ iext(uri_rdf_first,sK238,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,sK237,sK238)
| ~ iext(uri_rdf_rest,sK238,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK237)
| iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(instantiation,[status(thm)],[983]) ).
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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
cnf(1243,plain,
iext(uri_rdf_first,sK237,uri_ex_hasCousin),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l30,plain,
iext(uri_rdf_first,sK237,uri_ex_hasCousin),
inference(instantiation,[status(thm)],[1243]) ).
cnf(1244,plain,
iext(uri_rdf_rest,sK237,sK238),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l8,plain,
iext(uri_rdf_rest,sK237,sK238),
inference(instantiation,[status(thm)],[1244]) ).
cnf(1242,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK237),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l2,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK237),
inference(instantiation,[status(thm)],[1242]) ).
cnf(1245,plain,
iext(uri_rdf_first,sK238,uri_ex_hasFather),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l16,plain,
iext(uri_rdf_first,sK238,uri_ex_hasFather),
inference(instantiation,[status(thm)],[1245]) ).
cnf(1246,plain,
iext(uri_rdf_rest,sK238,uri_rdf_nil),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l5,plain,
iext(uri_rdf_rest,sK238,uri_rdf_nil),
inference(instantiation,[status(thm)],[1246]) ).
cnf(1255,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(l3,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(instantiation,[status(thm)],[1255]) ).
cnf(l14,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| ~ iext(sK241,uri_ex_dave,uri_ex_alice)
| ~ iext(uri_rdf_first,sK239,uri_ex_hasUncle)
| ~ iext(uri_rdf_first,sK240,sK241)
| ~ iext(uri_rdf_rest,sK239,sK240)
| ~ iext(uri_rdf_rest,sK240,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK239)
| iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(instantiation,[status(thm)],[983]) ).
cnf(1250,plain,
iext(uri_rdf_first,sK240,sK241),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l52,plain,
iext(uri_rdf_first,sK240,sK241),
inference(instantiation,[status(thm)],[1250]) ).
cnf(1249,plain,
iext(uri_rdf_rest,sK239,sK240),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l96,plain,
iext(uri_rdf_rest,sK239,sK240),
inference(instantiation,[status(thm)],[1249]) ).
cnf(1248,plain,
iext(uri_rdf_first,sK239,uri_ex_hasUncle),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l57,plain,
iext(uri_rdf_first,sK239,uri_ex_hasUncle),
inference(instantiation,[status(thm)],[1248]) ).
cnf(1247,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK239),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l163,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK239),
inference(instantiation,[status(thm)],[1247]) ).
cnf(1251,plain,
iext(uri_rdf_rest,sK240,uri_rdf_nil),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l82,plain,
iext(uri_rdf_rest,sK240,uri_rdf_nil),
inference(instantiation,[status(thm)],[1251]) ).
cnf(1254,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(l24,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(instantiation,[status(thm)],[1254]) ).
cnf(1256,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(l15,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(instantiation,[status(thm)],[1256]) ).
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('Axioms/SWB001+0.ax',owl_inv) ).
cnf(999,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_owl_inverseOf,X3,X0)
| iext(X3,X2,X1) ),
inference(cnf,[status(esa)],[owl_inv]) ).
cnf(l46,plain,
( ~ iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
| ~ iext(uri_owl_inverseOf,sK241,uri_ex_hasFather)
| iext(sK241,uri_ex_dave,uri_ex_alice) ),
inference(instantiation,[status(thm)],[999]) ).
cnf(1252,plain,
iext(uri_owl_inverseOf,sK241,uri_ex_hasFather),
inference(cnf,[status(esa)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
cnf(l70,plain,
iext(uri_owl_inverseOf,sK241,uri_ex_hasFather),
inference(instantiation,[status(thm)],[1252]) ).
cnf(1253,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(l62,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(instantiation,[status(thm)],[1253]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l30,l8,l2,l16,l5,l3,l14,l52,l96,l57,l163,l82,l24,l15,l46,l70,l62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB025+1 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 04:12:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.37 % launching worker at depth: 3
% 0.13/0.37 % launching worker at depth: 2
% 0.13/0.37 % launching worker at depth: 4
% 0.13/0.37 % launching worker at depth: 1
% 0.13/0.37 % launching worker at depth: 5
% 0.13/0.37 % launching worker at depth: 6
% 0.13/0.37 % launching worker at depth: 7
% 0.13/0.37 % launching worker at depth: 8
% 0.13/0.37 % launching worker at depth: 9
% 0.18/0.55 % launching worker at depth: 10
% 84.70/10.98 % SZS status Theorem for theBenchmark
% 84.70/10.98 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------