TSTP Solution File: SWB024+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 Jul 27 13:17:47 EDT 2022
% Result : Theorem 1.59s 1.78s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 27 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_rdf_type,A,B)
| icext(B,A) ),
file('SWB024+2.p',unknown),
[] ).
cnf(3,axiom,
( ~ iext(uri_owl_minCardinality,A,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,A,B)
| ~ icext(A,C)
| iext(B,C,dollar_f1(A,B,C)) ),
file('SWB024+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ iext(uri_rdfs_subClassOf,A,B)
| ~ icext(A,C)
| icext(B,C) ),
file('SWB024+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ icext(uri_owl_TransitiveProperty,A)
| ~ iext(A,B,C)
| ~ iext(A,C,D)
| iext(A,B,D) ),
file('SWB024+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,A)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,A) ),
file('SWB024+2.p',unknown),
[] ).
cnf(20,axiom,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
file('SWB024+2.p',unknown),
[] ).
cnf(21,axiom,
iext(uri_rdfs_subClassOf,uri_ex_Person,dollar_c1),
file('SWB024+2.p',unknown),
[] ).
cnf(23,axiom,
iext(uri_owl_onProperty,dollar_c1,uri_ex_hasAncestor),
file('SWB024+2.p',unknown),
[] ).
cnf(24,axiom,
iext(uri_owl_minCardinality,dollar_c1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
file('SWB024+2.p',unknown),
[] ).
cnf(26,axiom,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
file('SWB024+2.p',unknown),
[] ).
cnf(27,axiom,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
file('SWB024+2.p',unknown),
[] ).
cnf(28,plain,
icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
inference(hyper,[status(thm)],[20,1]),
[iquote('hyper,20,1')] ).
cnf(40,plain,
icext(uri_ex_Person,uri_ex_bob),
inference(hyper,[status(thm)],[26,1]),
[iquote('hyper,26,1')] ).
cnf(41,plain,
icext(dollar_c1,uri_ex_bob),
inference(hyper,[status(thm)],[40,7,21]),
[iquote('hyper,40,7,21')] ).
cnf(42,plain,
iext(uri_ex_hasAncestor,uri_ex_bob,dollar_f1(dollar_c1,uri_ex_hasAncestor,uri_ex_bob)),
inference(hyper,[status(thm)],[41,3,24,23]),
[iquote('hyper,41,3,24,23')] ).
cnf(45,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,dollar_f1(dollar_c1,uri_ex_hasAncestor,uri_ex_bob)),
inference(hyper,[status(thm)],[42,11,28,27]),
[iquote('hyper,42,11,28,27')] ).
cnf(46,plain,
$false,
inference(hyper,[status(thm)],[45,15,42]),
[iquote('hyper,45,15,42')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 : Wed Jul 27 02:29:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.59/1.78 ----- Otter 3.3f, August 2004 -----
% 1.59/1.78 The process was started by sandbox2 on n003.cluster.edu,
% 1.59/1.78 Wed Jul 27 02:29:11 2022
% 1.59/1.78 The command was "./otter". The process ID is 2424.
% 1.59/1.78
% 1.59/1.78 set(prolog_style_variables).
% 1.59/1.78 set(auto).
% 1.59/1.78 dependent: set(auto1).
% 1.59/1.78 dependent: set(process_input).
% 1.59/1.78 dependent: clear(print_kept).
% 1.59/1.78 dependent: clear(print_new_demod).
% 1.59/1.78 dependent: clear(print_back_demod).
% 1.59/1.78 dependent: clear(print_back_sub).
% 1.59/1.78 dependent: set(control_memory).
% 1.59/1.78 dependent: assign(max_mem, 12000).
% 1.59/1.78 dependent: assign(pick_given_ratio, 4).
% 1.59/1.78 dependent: assign(stats_level, 1).
% 1.59/1.78 dependent: assign(max_seconds, 10800).
% 1.59/1.78 clear(print_given).
% 1.59/1.78
% 1.59/1.78 formula_list(usable).
% 1.59/1.78 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.59/1.78 all Z P (iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))&iext(uri_owl_onProperty,Z,P)-> (all X (icext(Z,X)<-> (exists Y iext(P,X,Y))))).
% 1.59/1.78 all C1 C2 (iext(uri_rdfs_subClassOf,C1,C2)<->ic(C1)&ic(C2)& (all X (icext(C1,X)->icext(C2,X)))).
% 1.59/1.78 all P (icext(uri_owl_TransitiveProperty,P)<->ip(P)& (all X Y Z (iext(P,X,Y)&iext(P,Y,Z)->iext(P,X,Z)))).
% 1.59/1.78 -(exists BNODE_x (iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)&iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x))).
% 1.59/1.78 exists BNODE_z (iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)&iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)&iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)&iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)&iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))&iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)&iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)&iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)).
% 1.59/1.78 end_of_list.
% 1.59/1.78
% 1.59/1.78 -------> usable clausifies to:
% 1.59/1.78
% 1.59/1.78 list(usable).
% 1.59/1.78 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.59/1.78 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.59/1.78 0 [] -iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))| -iext(uri_owl_onProperty,Z,P)| -icext(Z,X)|iext(P,X,$f1(Z,P,X)).
% 1.59/1.78 0 [] -iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))| -iext(uri_owl_onProperty,Z,P)|icext(Z,X)| -iext(P,X,Y).
% 1.59/1.78 0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C1).
% 1.59/1.78 0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C2).
% 1.59/1.78 0 [] -iext(uri_rdfs_subClassOf,C1,C2)| -icext(C1,X)|icext(C2,X).
% 1.59/1.78 0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f2(C1,C2)).
% 1.59/1.78 0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)| -icext(C2,$f2(C1,C2)).
% 1.59/1.78 0 [] -icext(uri_owl_TransitiveProperty,P)|ip(P).
% 1.59/1.78 0 [] -icext(uri_owl_TransitiveProperty,P)| -iext(P,X,Y)| -iext(P,Y,Z)|iext(P,X,Z).
% 1.59/1.78 0 [] icext(uri_owl_TransitiveProperty,P)| -ip(P)|iext(P,$f5(P),$f4(P)).
% 1.59/1.78 0 [] icext(uri_owl_TransitiveProperty,P)| -ip(P)|iext(P,$f4(P),$f3(P)).
% 1.59/1.78 0 [] icext(uri_owl_TransitiveProperty,P)| -ip(P)| -iext(P,$f5(P),$f3(P)).
% 1.59/1.78 0 [] -iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)| -iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x).
% 1.59/1.78 0 [] iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty).
% 1.59/1.78 0 [] iext(uri_rdfs_subClassOf,uri_ex_Person,$c1).
% 1.59/1.78 0 [] iext(uri_rdf_type,$c1,uri_owl_Restriction).
% 1.59/1.78 0 [] iext(uri_owl_onProperty,$c1,uri_ex_hasAncestor).
% 1.59/1.78 0 [] iext(uri_owl_minCardinality,$c1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)).
% 1.59/1.78 0 [] iext(uri_rdf_type,uri_ex_alice,uri_ex_Person).
% 1.59/1.78 0 [] iext(uri_rdf_type,uri_ex_bob,uri_ex_Person).
% 1.59/1.78 0 [] iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob).
% 1.59/1.78 end_of_list.
% 1.59/1.78
% 1.59/1.78 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.59/1.78
% 1.59/1.78 This is a non-Horn set without equality. The strategy will
% 1.59/1.78 be ordered hyper_res, unit deletion, and factoring, with
% 1.59/1.78 satellites in sos and with nuclei in usable.
% 1.59/1.78
% 1.59/1.78 dependent: set(hyper_res).
% 1.59/1.78 dependent: set(factor).
% 1.59/1.78 dependent: set(unit_deletion).
% 1.59/1.78
% 1.59/1.78 ------------> process usable:
% 1.59/1.78 ** KEPT (pick-wt=7): 1 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.59/1.78 ** KEPT (pick-wt=7): 2 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.59/1.78 ** KEPT (pick-wt=20): 3 [] -iext(uri_owl_minCardinality,A,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))| -iext(uri_owl_onProperty,A,B)| -icext(A,C)|iext(B,C,$f1(A,B,C)).
% 1.59/1.78 ** KEPT (pick-wt=17): 4 [] -iext(uri_owl_minCardinality,A,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))| -iext(uri_owl_onProperty,A,B)|icext(A,C)| -iext(B,C,D).
% 1.59/1.78 ** KEPT (pick-wt=6): 5 [] -iext(uri_rdfs_subClassOf,A,B)|ic(A).
% 1.59/1.78 ** KEPT (pick-wt=6): 6 [] -iext(uri_rdfs_subClassOf,A,B)|ic(B).
% 1.59/1.78 ** KEPT (pick-wt=10): 7 [] -iext(uri_rdfs_subClassOf,A,B)| -icext(A,C)|icext(B,C).
% 1.59/1.78 ** KEPT (pick-wt=13): 8 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)|icext(A,$f2(A,B)).
% 1.59/1.78 ** KEPT (pick-wt=13): 9 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)| -icext(B,$f2(A,B)).
% 1.59/1.78 ** KEPT (pick-wt=5): 10 [] -icext(uri_owl_TransitiveProperty,A)|ip(A).
% 1.59/1.78 ** KEPT (pick-wt=15): 11 [] -icext(uri_owl_TransitiveProperty,A)| -iext(A,B,C)| -iext(A,C,D)|iext(A,B,D).
% 1.59/1.78 ** KEPT (pick-wt=11): 12 [] icext(uri_owl_TransitiveProperty,A)| -ip(A)|iext(A,$f5(A),$f4(A)).
% 1.59/1.78 ** KEPT (pick-wt=11): 13 [] icext(uri_owl_TransitiveProperty,A)| -ip(A)|iext(A,$f4(A),$f3(A)).
% 1.59/1.78 ** KEPT (pick-wt=11): 14 [] icext(uri_owl_TransitiveProperty,A)| -ip(A)| -iext(A,$f5(A),$f3(A)).
% 1.59/1.78 ** KEPT (pick-wt=8): 15 [] -iext(uri_ex_hasAncestor,uri_ex_bob,A)| -iext(uri_ex_hasAncestor,uri_ex_alice,A).
% 1.59/1.78
% 1.59/1.78 ------------> process sos:
% 1.59/1.78 ** KEPT (pick-wt=4): 20 [] iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty).
% 1.59/1.78 ** KEPT (pick-wt=4): 21 [] iext(uri_rdfs_subClassOf,uri_ex_Person,$c1).
% 1.59/1.78 ** KEPT (pick-wt=4): 22 [] iext(uri_rdf_type,$c1,uri_owl_Restriction).
% 1.59/1.78 ** KEPT (pick-wt=4): 23 [] iext(uri_owl_onProperty,$c1,uri_ex_hasAncestor).
% 1.59/1.78 ** KEPT (pick-wt=6): 24 [] iext(uri_owl_minCardinality,$c1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)).
% 1.59/1.78 ** KEPT (pick-wt=4): 25 [] iext(uri_rdf_type,uri_ex_alice,uri_ex_Person).
% 1.59/1.78 ** KEPT (pick-wt=4): 26 [] iext(uri_rdf_type,uri_ex_bob,uri_ex_Person).
% 1.59/1.78 ** KEPT (pick-wt=4): 27 [] iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob).
% 1.59/1.78
% 1.59/1.78 ======= end of input processing =======
% 1.59/1.78
% 1.59/1.78 =========== start of search ===========
% 1.59/1.78
% 1.59/1.78 -------- PROOF --------
% 1.59/1.78
% 1.59/1.78 -----> EMPTY CLAUSE at 0.00 sec ----> 46 [hyper,45,15,42] $F.
% 1.59/1.78
% 1.59/1.78 Length of proof is 5. Level of proof is 4.
% 1.59/1.78
% 1.59/1.78 ---------------- PROOF ----------------
% 1.59/1.78 % SZS status Theorem
% 1.59/1.78 % SZS output start Refutation
% See solution above
% 1.59/1.78 ------------ end of proof -------------
% 1.59/1.78
% 1.59/1.78
% 1.59/1.78 Search stopped by max_proofs option.
% 1.59/1.78
% 1.59/1.78
% 1.59/1.78 Search stopped by max_proofs option.
% 1.59/1.78
% 1.59/1.78 ============ end of search ============
% 1.59/1.78
% 1.59/1.78 -------------- statistics -------------
% 1.59/1.78 clauses given 24
% 1.59/1.78 clauses generated 47
% 1.59/1.78 clauses kept 45
% 1.59/1.78 clauses forward subsumed 23
% 1.59/1.78 clauses back subsumed 1
% 1.59/1.78 Kbytes malloced 976
% 1.59/1.78
% 1.59/1.78 ----------- times (seconds) -----------
% 1.59/1.78 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.59/1.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.59/1.78 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.59/1.78
% 1.59/1.78 That finishes the proof of the theorem.
% 1.59/1.78
% 1.59/1.78 Process 2424 finished Wed Jul 27 02:29:13 2022
% 1.59/1.78 Otter interrupted
% 1.59/1.78 PROOF FOUND
%------------------------------------------------------------------------------