TSTP Solution File: SWB025+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 18:37:26 EDT 2022
% Result : Theorem 1.91s 0.61s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 60 ( 18 unt; 0 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 476 ( 152 ~; 149 |; 160 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 202 ( 162 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(subsumption_resolution,[],[f167,f155]) ).
fof(f155,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(resolution,[],[f149,f53]) ).
fof(f53,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK6)
& iext(uri_rdf_rest,sK6,sK7)
& iext(uri_rdf_first,sK6,uri_ex_hasUncle)
& iext(uri_rdf_first,sK8,uri_ex_hasCousin)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_rdf_rest,sK8,sK5)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK8)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,sK9)
& iext(uri_owl_inverseOf,sK9,uri_ex_hasFather)
& iext(uri_rdf_first,sK5,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9])],[f22,f23]) ).
fof(f23,plain,
( ? [X0,X1,X2,X3,X4] :
( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X1)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_hasUncle)
& iext(uri_rdf_first,X3,uri_ex_hasCousin)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_rdf_rest,X3,X0)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X4)
& iext(uri_owl_inverseOf,X4,uri_ex_hasFather)
& iext(uri_rdf_first,X0,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,X0,uri_rdf_nil) )
=> ( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK6)
& iext(uri_rdf_rest,sK6,sK7)
& iext(uri_rdf_first,sK6,uri_ex_hasUncle)
& iext(uri_rdf_first,sK8,uri_ex_hasCousin)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_rdf_rest,sK8,sK5)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK8)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,sK9)
& iext(uri_owl_inverseOf,sK9,uri_ex_hasFather)
& iext(uri_rdf_first,sK5,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,sK5,uri_rdf_nil) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2,X3,X4] :
( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X1)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_hasUncle)
& iext(uri_rdf_first,X3,uri_ex_hasCousin)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_rdf_rest,X3,X0)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X4)
& iext(uri_owl_inverseOf,X4,uri_ex_hasFather)
& iext(uri_rdf_first,X0,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
? [X3,X0,X1,X2,X4] :
( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X0)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_hasUncle)
& iext(uri_rdf_first,X2,uri_ex_hasCousin)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X4)
& iext(uri_owl_inverseOf,X4,uri_ex_hasFather)
& iext(uri_rdf_first,X3,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
? [X12,X13,X10,X11,X14] :
( iext(uri_owl_inverseOf,X14,uri_ex_hasFather)
& iext(uri_rdf_first,X12,uri_ex_hasUncle)
& iext(uri_rdf_first,X13,X14)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X10,uri_ex_hasCousin)
& iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X12)
& 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_rdf_first,X11,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f149,plain,
! [X1] :
( ~ iext(uri_ex_hasCousin,X1,uri_ex_bob)
| iext(uri_ex_hasUncle,X1,uri_ex_charly) ),
inference(resolution,[],[f145,f46]) ).
fof(f46,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f24]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_hasFather,X0,X1)
| ~ iext(uri_ex_hasCousin,X2,X0)
| iext(uri_ex_hasUncle,X2,X1) ),
inference(resolution,[],[f144,f41]) ).
fof(f41,plain,
iext(uri_rdf_first,sK5,uri_ex_hasFather),
inference(cnf_transformation,[],[f24]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(X0,X3,X2)
| iext(uri_ex_hasUncle,X1,X2)
| ~ iext(uri_ex_hasCousin,X1,X3) ),
inference(resolution,[],[f135,f49]) ).
fof(f49,plain,
iext(uri_rdf_first,sK8,uri_ex_hasCousin),
inference(cnf_transformation,[],[f24]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK8,X3)
| ~ iext(uri_rdf_first,sK5,X0)
| iext(uri_ex_hasUncle,X4,X2)
| ~ iext(X0,X1,X2)
| ~ iext(X3,X4,X1) ),
inference(resolution,[],[f99,f45]) ).
fof(f45,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK8),
inference(cnf_transformation,[],[f24]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK8)
| ~ iext(X1,X5,X4)
| ~ iext(uri_rdf_first,sK8,X2)
| ~ iext(X2,X3,X5)
| iext(X0,X3,X4)
| ~ iext(uri_rdf_first,sK5,X1) ),
inference(resolution,[],[f72,f47]) ).
fof(f47,plain,
iext(uri_rdf_rest,sK8,sK5),
inference(cnf_transformation,[],[f24]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X5,sK5)
| ~ iext(uri_owl_propertyChainAxiom,X6,X5)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_rdf_first,X5,X3)
| iext(X6,X4,X2)
| ~ iext(X0,X1,X2)
| ~ iext(X3,X4,X1) ),
inference(resolution,[],[f29,f39]) ).
fof(f39,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f24]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(X2,X5,X7)
| ~ iext(X3,X6,X5)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_rest,X1,X4)
| iext(X0,X6,X7)
| ~ iext(uri_rdf_first,X4,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X1,X4)
| ( ( ( ip(X0)
& ip(X2)
& ip(X3)
& ! [X5,X6,X7] :
( ~ iext(X3,X6,X5)
| ~ iext(X2,X5,X7)
| iext(X0,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) )
& ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X3)
| ( iext(X3,sK1(X0,X2,X3),sK0(X0,X2,X3))
& iext(X2,sK0(X0,X2,X3),sK2(X0,X2,X3))
& ~ iext(X0,sK1(X0,X2,X3),sK2(X0,X2,X3)) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f14,f15]) ).
fof(f15,plain,
! [X0,X2,X3] :
( ? [X8,X9,X10] :
( iext(X3,X9,X8)
& iext(X2,X8,X10)
& ~ iext(X0,X9,X10) )
=> ( iext(X3,sK1(X0,X2,X3),sK0(X0,X2,X3))
& iext(X2,sK0(X0,X2,X3),sK2(X0,X2,X3))
& ~ iext(X0,sK1(X0,X2,X3),sK2(X0,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X1,X4)
| ( ( ( ip(X0)
& ip(X2)
& ip(X3)
& ! [X5,X6,X7] :
( ~ iext(X3,X6,X5)
| ~ iext(X2,X5,X7)
| iext(X0,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) )
& ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X3)
| ? [X8,X9,X10] :
( iext(X3,X9,X8)
& iext(X2,X8,X10)
& ~ iext(X0,X9,X10) ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X2,X1,X4,X3,X0] :
( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(uri_rdf_first,X0,X4)
| ~ iext(uri_rdf_rest,X1,X0)
| ( ( ( ip(X2)
& ip(X4)
& ip(X3)
& ! [X5,X7,X6] :
( ~ iext(X3,X7,X5)
| ~ iext(X4,X5,X6)
| iext(X2,X7,X6) ) )
| ~ iext(uri_owl_propertyChainAxiom,X2,X1) )
& ( iext(uri_owl_propertyChainAxiom,X2,X1)
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X3)
| ? [X5,X7,X6] :
( iext(X3,X7,X5)
& iext(X4,X5,X6)
& ~ iext(X2,X7,X6) ) ) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X2,X1,X4,X3,X0] :
( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(uri_rdf_first,X0,X4)
| ~ iext(uri_rdf_rest,X1,X0)
| ( ( ( ip(X2)
& ip(X4)
& ip(X3)
& ! [X5,X7,X6] :
( ~ iext(X3,X7,X5)
| ~ iext(X4,X5,X6)
| iext(X2,X7,X6) ) )
| ~ iext(uri_owl_propertyChainAxiom,X2,X1) )
& ( iext(uri_owl_propertyChainAxiom,X2,X1)
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X3)
| ? [X5,X7,X6] :
( iext(X3,X7,X5)
& iext(X4,X5,X6)
& ~ iext(X2,X7,X6) ) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X2,X1,X4,X3,X0] :
( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X3)
| ~ iext(uri_rdf_first,X0,X4)
| ~ iext(uri_rdf_rest,X1,X0)
| ( ( ip(X2)
& ip(X4)
& ip(X3)
& ! [X5,X7,X6] :
( ~ iext(X3,X7,X5)
| ~ iext(X4,X5,X6)
| iext(X2,X7,X6) ) )
<=> iext(uri_owl_propertyChainAxiom,X2,X1) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X3,X2,X4,X1] :
( ( ( ip(X4)
& ! [X5,X7,X6] :
( iext(X2,X7,X6)
| ~ iext(X4,X5,X6)
| ~ iext(X3,X7,X5) )
& ip(X3)
& ip(X2) )
<=> iext(uri_owl_propertyChainAxiom,X2,X1) )
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X0,X4)
| ~ iext(uri_rdf_first,X1,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X3,X2,X4,X1] :
( ( iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X0,X4)
& iext(uri_rdf_first,X1,X3) )
=> ( ( ip(X4)
& ! [X5,X7,X6] :
( ( iext(X4,X5,X6)
& iext(X3,X7,X5) )
=> iext(X2,X7,X6) )
& ip(X3)
& ip(X2) )
<=> iext(uri_owl_propertyChainAxiom,X2,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X3,X1,X0,X2,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)
<=> ( ! [X6,X7,X5] :
( ( iext(X2,X5,X6)
& iext(X4,X6,X7) )
=> iext(X0,X5,X7) )
& ip(X2)
& ip(X4)
& ip(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f167,plain,
~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(subsumption_resolution,[],[f165,f48]) ).
fof(f48,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f24]) ).
fof(f165,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(resolution,[],[f160,f25]) ).
fof(f25,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( 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(f160,plain,
! [X0] :
( iext(uri_ex_hasCousin,X0,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,X0,uri_ex_dave) ),
inference(resolution,[],[f157,f40]) ).
fof(f40,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f24]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_hasFather,X2,X1)
| ~ iext(uri_ex_hasUncle,X0,X1)
| iext(uri_ex_hasCousin,X0,X2) ),
inference(resolution,[],[f156,f56]) ).
fof(f56,plain,
! [X0,X1] :
( iext(sK9,X0,X1)
| ~ iext(uri_ex_hasFather,X1,X0) ),
inference(resolution,[],[f33,f42]) ).
fof(f42,plain,
iext(uri_owl_inverseOf,sK9,uri_ex_hasFather),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X0,sK4(X0,X1),sK3(X0,X1))
| ~ iext(X1,sK3(X0,X1),sK4(X0,X1)) )
& ( iext(X0,sK4(X0,X1),sK3(X0,X1))
| iext(X1,sK3(X0,X1),sK4(X0,X1)) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) )
=> ( ( ~ iext(X0,sK4(X0,X1),sK3(X0,X1))
| ~ iext(X1,sK3(X0,X1),sK4(X0,X1)) )
& ( iext(X0,sK4(X0,X1),sK3(X0,X1))
| iext(X1,sK3(X0,X1),sK4(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X3,X2] :
( ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X0,X2,X3)
| iext(X1,X3,X2) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X3,X2] :
( ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X3,X2] :
( ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X0,X2,X3)
| iext(X1,X3,X2) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X3,X2] :
( ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X3,X2] :
( iext(X1,X3,X2)
<=> iext(X0,X2,X3) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X4] :
( ( ip(X2)
& ip(X4)
& ! [X8,X9] :
( iext(X2,X8,X9)
<=> iext(X4,X9,X8) ) )
<=> iext(uri_owl_inverseOf,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ iext(sK9,X2,X1)
| ~ iext(uri_ex_hasUncle,X0,X2)
| iext(uri_ex_hasCousin,X0,X1) ),
inference(resolution,[],[f154,f50]) ).
fof(f50,plain,
iext(uri_rdf_first,sK6,uri_ex_hasUncle),
inference(cnf_transformation,[],[f24]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK6,X2)
| iext(uri_ex_hasCousin,X3,X1)
| ~ iext(sK9,X0,X1)
| ~ iext(X2,X3,X0) ),
inference(resolution,[],[f136,f43]) ).
fof(f43,plain,
iext(uri_rdf_first,sK7,sK9),
inference(cnf_transformation,[],[f24]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK7,X3)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(X0,X1,X2)
| iext(uri_ex_hasCousin,X1,X4) ),
inference(resolution,[],[f100,f52]) ).
fof(f52,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK6),
inference(cnf_transformation,[],[f24]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X5,sK6)
| ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X4)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_first,sK7,X1)
| iext(X5,X2,X4) ),
inference(resolution,[],[f73,f51]) ).
fof(f51,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(cnf_transformation,[],[f24]) ).
fof(f73,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ iext(uri_rdf_rest,X12,sK7)
| ~ iext(uri_rdf_first,X12,X10)
| ~ iext(uri_rdf_first,sK7,X7)
| ~ iext(X10,X11,X8)
| ~ iext(X7,X8,X9)
| ~ iext(uri_owl_propertyChainAxiom,X13,X12)
| iext(X13,X11,X9) ),
inference(resolution,[],[f29,f44]) ).
fof(f44,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 17:32:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.55 % (15702)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (15699)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.57 % (15718)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57 TRYING [2]
% 0.20/0.57 % (15715)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57 % (15705)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58 TRYING [3]
% 0.20/0.58 % (15721)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.58 % (15726)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.58 % (15712)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58 % (15704)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.71/0.58 % (15710)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.59 % (15707)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.71/0.59 % (15723)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.71/0.59 % (15713)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.71/0.59 % (15707)Instruction limit reached!
% 1.71/0.59 % (15707)------------------------------
% 1.71/0.59 % (15707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (15707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (15707)Termination reason: Unknown
% 1.71/0.59 % (15707)Termination phase: Blocked clause elimination
% 1.71/0.59
% 1.71/0.59 % (15707)Memory used [KB]: 895
% 1.71/0.59 % (15707)Time elapsed: 0.002 s
% 1.71/0.59 % (15707)Instructions burned: 3 (million)
% 1.71/0.59 % (15707)------------------------------
% 1.71/0.59 % (15707)------------------------------
% 1.71/0.59 % (15728)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.71/0.59 % (15725)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.71/0.59 TRYING [1]
% 1.71/0.59 TRYING [2]
% 1.71/0.59 % (15720)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.71/0.60 % (15701)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.71/0.60 TRYING [3]
% 1.91/0.60 % (15701)First to succeed.
% 1.91/0.60 % (15709)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.91/0.60 % (15722)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.91/0.61 % (15714)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.91/0.61 % (15717)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.61 % (15706)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.91/0.61 % (15701)Refutation found. Thanks to Tanya!
% 1.91/0.61 % SZS status Theorem for theBenchmark
% 1.91/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.61 % (15701)------------------------------
% 1.91/0.61 % (15701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (15701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (15701)Termination reason: Refutation
% 1.91/0.61
% 1.91/0.61 % (15701)Memory used [KB]: 1023
% 1.91/0.61 % (15701)Time elapsed: 0.174 s
% 1.91/0.61 % (15701)Instructions burned: 9 (million)
% 1.91/0.61 % (15701)------------------------------
% 1.91/0.61 % (15701)------------------------------
% 1.91/0.61 % (15698)Success in time 0.256 s
%------------------------------------------------------------------------------