TSTP Solution File: SWB025+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n001.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 18:36:35 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 18 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 132 ( 33 ~; 31 |; 54 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 62 ( 52 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f76,f134]) ).
fof(f134,plain,
spl10_2,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| spl10_2 ),
inference(subsumption_resolution,[],[f118,f25]) ).
fof(f25,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0,X3,X1,X2,X4] :
( iext(uri_rdf_first,X2,uri_ex_hasUncle)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X4)
& iext(uri_rdf_rest,X4,X0)
& iext(uri_rdf_rest,X2,X1)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_rdf_first,X0,uri_ex_hasFather)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X3)
& iext(uri_owl_inverseOf,X3,uri_ex_hasFather)
& iext(uri_rdf_first,X4,uri_ex_hasCousin)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X2) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
? [X11,X13,X12,X14,X10] :
( iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_rdf_first,X10,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X10)
& iext(uri_rdf_first,X13,X14)
& iext(uri_rdf_first,X11,uri_ex_hasFather)
& iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_first,X12,uri_ex_hasUncle)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_owl_inverseOf,X14,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X12)
& iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f118,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
| spl10_2 ),
inference(unit_resulting_resolution,[],[f16,f23,f24,f21,f20,f26,f48,f31]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X4,X0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(X2,X6,X7)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| iext(X4,X5,X7)
| ~ iext(uri_rdf_first,X0,X3)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(X3,X5,X6) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X2,X4,X1,X3] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_propertyChainAxiom,X4,X0)
<=> ( ip(X2)
& ip(X3)
& ! [X5,X7,X6] :
( ~ iext(X2,X6,X7)
| iext(X4,X5,X7)
| ~ iext(X3,X5,X6) )
& ip(X4) ) )
| ~ iext(uri_rdf_first,X0,X3) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
! [X2,X3,X1,X4,X0] :
( ( ( ip(X3)
& ip(X2)
& ! [X5,X6,X7] :
( iext(X4,X5,X7)
| ~ iext(X3,X5,X6)
| ~ iext(X2,X6,X7) )
& ip(X4) )
<=> iext(uri_owl_propertyChainAxiom,X4,X0) )
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X2,X3,X1,X4,X0] :
( ( iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X0,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( ( ip(X3)
& ip(X2)
& ! [X5,X6,X7] :
( ( iext(X3,X5,X6)
& iext(X2,X6,X7) )
=> iext(X4,X5,X7) )
& ip(X4) )
<=> iext(uri_owl_propertyChainAxiom,X4,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X3,X4,X2,X0] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ( iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> iext(X0,X5,X7) )
& ip(X0)
& ip(X2)
& ip(X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f48,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| spl10_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl10_2
<=> iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f26,plain,
iext(uri_rdf_rest,sK0,uri_rdf_nil),
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
iext(uri_rdf_first,sK0,uri_ex_hasFather),
inference(cnf_transformation,[],[f6]) ).
fof(f21,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK4),
inference(cnf_transformation,[],[f6]) ).
fof(f23,plain,
iext(uri_rdf_rest,sK4,sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
iext(uri_rdf_first,sK4,uri_ex_hasCousin),
inference(cnf_transformation,[],[f6]) ).
fof(f76,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| spl10_1 ),
inference(subsumption_resolution,[],[f70,f17]) ).
fof(f17,plain,
iext(uri_owl_inverseOf,sK1,uri_ex_hasFather),
inference(cnf_transformation,[],[f6]) ).
fof(f70,plain,
( ~ iext(uri_owl_inverseOf,sK1,uri_ex_hasFather)
| spl10_1 ),
inference(unit_resulting_resolution,[],[f14,f51,f38]) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X3,X2)
| iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X3,X2)
<=> iext(X0,X2,X3) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X4] :
( ( ip(X4)
& ! [X8,X9] :
( iext(X2,X8,X9)
<=> iext(X4,X9,X8) )
& ip(X2) )
<=> iext(uri_owl_inverseOf,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f51,plain,
( ~ iext(sK1,uri_ex_dave,uri_ex_alice)
| spl10_1 ),
inference(unit_resulting_resolution,[],[f15,f27,f22,f13,f18,f19,f44,f31]) ).
fof(f44,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| spl10_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl10_1
<=> iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f19,plain,
iext(uri_rdf_rest,sK2,uri_rdf_nil),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
iext(uri_rdf_first,sK2,sK1),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK3),
inference(cnf_transformation,[],[f6]) ).
fof(f22,plain,
iext(uri_rdf_rest,sK3,sK2),
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
iext(uri_rdf_first,sK3,uri_ex_hasUncle),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f6]) ).
fof(f49,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f12,f46,f42]) ).
fof(f12,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,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_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(negated_conjecture,[],[f3]) ).
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/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 17:57:02 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.20/0.44 % (15342)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.45 % (15358)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.47 % (15350)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.47 % (15358)Refutation not found, incomplete strategy% (15358)------------------------------
% 0.20/0.47 % (15358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (15358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (15358)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (15358)Memory used [KB]: 6012
% 0.20/0.48 % (15358)Time elapsed: 0.098 s
% 0.20/0.48 % (15358)Instructions burned: 2 (million)
% 0.20/0.48 % (15358)------------------------------
% 0.20/0.48 % (15358)------------------------------
% 0.20/0.48 % (15350)First to succeed.
% 0.20/0.49 % (15350)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (15350)------------------------------
% 0.20/0.49 % (15350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (15350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (15350)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (15350)Memory used [KB]: 6012
% 0.20/0.49 % (15350)Time elapsed: 0.109 s
% 0.20/0.49 % (15350)Instructions burned: 5 (million)
% 0.20/0.49 % (15350)------------------------------
% 0.20/0.49 % (15350)------------------------------
% 0.20/0.49 % (15341)Success in time 0.136 s
%------------------------------------------------------------------------------