TSTP Solution File: SWB005+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 13:17:37 EDT 2022
% Result : Theorem 1.71s 1.91s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 31 ( 0 equ; 14 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 14 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(A,B,C)
| ip(A) ),
file('SWB005+2.p',unknown),
[] ).
cnf(3,axiom,
( iext(uri_rdf_type,A,uri_rdf_Property)
| ~ ip(A) ),
file('SWB005+2.p',unknown),
[] ).
cnf(5,axiom,
( iext(uri_rdf_type,A,B)
| ~ icext(B,A) ),
file('SWB005+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ ir(A)
| icext(uri_rdfs_Resource,A) ),
file('SWB005+2.p',unknown),
[] ).
cnf(9,axiom,
( icext(uri_owl_Thing,A)
| ~ ir(A) ),
file('SWB005+2.p',unknown),
[] ).
cnf(11,axiom,
( icext(uri_owl_ObjectProperty,A)
| ~ ip(A) ),
file('SWB005+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
file('SWB005+2.p',unknown),
[] ).
cnf(13,axiom,
ir(A),
file('SWB005+2.p',unknown),
[] ).
cnf(14,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
file('SWB005+2.p',unknown),
[] ).
cnf(15,plain,
icext(uri_owl_Thing,A),
inference(hyper,[status(thm)],[13,9]),
[iquote('hyper,13,9')] ).
cnf(16,plain,
icext(uri_rdfs_Resource,A),
inference(hyper,[status(thm)],[13,6]),
[iquote('hyper,13,6')] ).
cnf(17,plain,
iext(uri_rdf_type,A,uri_owl_Thing),
inference(hyper,[status(thm)],[15,5]),
[iquote('hyper,15,5')] ).
cnf(18,plain,
iext(uri_rdf_type,A,uri_rdfs_Resource),
inference(hyper,[status(thm)],[16,5]),
[iquote('hyper,16,5')] ).
cnf(19,plain,
ip(uri_ex_p),
inference(hyper,[status(thm)],[14,1]),
[iquote('hyper,14,1')] ).
cnf(20,plain,
icext(uri_owl_ObjectProperty,uri_ex_p),
inference(hyper,[status(thm)],[19,11]),
[iquote('hyper,19,11')] ).
cnf(21,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(hyper,[status(thm)],[19,3]),
[iquote('hyper,19,3')] ).
cnf(25,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(hyper,[status(thm)],[20,5]),
[iquote('hyper,20,5')] ).
cnf(29,plain,
$false,
inference(hyper,[status(thm)],[25,12,18,17,18,17,21,18,17]),
[iquote('hyper,25,12,18,17,18,17,21,18,17')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.12 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 02:29:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.71/1.91 ----- Otter 3.3f, August 2004 -----
% 1.71/1.91 The process was started by sandbox on n005.cluster.edu,
% 1.71/1.91 Wed Jul 27 02:29:50 2022
% 1.71/1.91 The command was "./otter". The process ID is 31139.
% 1.71/1.91
% 1.71/1.91 set(prolog_style_variables).
% 1.71/1.91 set(auto).
% 1.71/1.91 dependent: set(auto1).
% 1.71/1.91 dependent: set(process_input).
% 1.71/1.91 dependent: clear(print_kept).
% 1.71/1.91 dependent: clear(print_new_demod).
% 1.71/1.91 dependent: clear(print_back_demod).
% 1.71/1.91 dependent: clear(print_back_sub).
% 1.71/1.91 dependent: set(control_memory).
% 1.71/1.91 dependent: assign(max_mem, 12000).
% 1.71/1.91 dependent: assign(pick_given_ratio, 4).
% 1.71/1.91 dependent: assign(stats_level, 1).
% 1.71/1.91 dependent: assign(max_seconds, 10800).
% 1.71/1.91 clear(print_given).
% 1.71/1.91
% 1.71/1.91 formula_list(usable).
% 1.71/1.91 all X ir(X).
% 1.71/1.91 all S P O (iext(P,S,O)->ip(P)).
% 1.71/1.91 all P (iext(uri_rdf_type,P,uri_rdf_Property)<->ip(P)).
% 1.71/1.91 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.71/1.91 all X (ir(X)<->icext(uri_rdfs_Resource,X)).
% 1.71/1.91 all X (icext(uri_owl_Thing,X)<->ir(X)).
% 1.71/1.91 all X (icext(uri_owl_ObjectProperty,X)<->ip(X)).
% 1.71/1.91 -(iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)&iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)&iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)&iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)&iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)&iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)&iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)&iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)).
% 1.71/1.91 iext(uri_ex_p,uri_ex_s,uri_ex_o).
% 1.71/1.91 end_of_list.
% 1.71/1.91
% 1.71/1.91 -------> usable clausifies to:
% 1.71/1.91
% 1.71/1.91 list(usable).
% 1.71/1.91 0 [] ir(X).
% 1.71/1.91 0 [] -iext(P,S,O)|ip(P).
% 1.71/1.91 0 [] -iext(uri_rdf_type,P,uri_rdf_Property)|ip(P).
% 1.71/1.91 0 [] iext(uri_rdf_type,P,uri_rdf_Property)| -ip(P).
% 1.71/1.91 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.71/1.91 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.71/1.91 0 [] -ir(X)|icext(uri_rdfs_Resource,X).
% 1.71/1.91 0 [] ir(X)| -icext(uri_rdfs_Resource,X).
% 1.71/1.91 0 [] -icext(uri_owl_Thing,X)|ir(X).
% 1.71/1.91 0 [] icext(uri_owl_Thing,X)| -ir(X).
% 1.71/1.91 0 [] -icext(uri_owl_ObjectProperty,X)|ip(X).
% 1.71/1.91 0 [] icext(uri_owl_ObjectProperty,X)| -ip(X).
% 1.71/1.91 0 [] -iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)| -iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)| -iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)| -iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)| -iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)| -iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)| -iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)| -iext(uri_rdf_type,uri_ex_o,uri_owl_Thing).
% 1.71/1.91 0 [] iext(uri_ex_p,uri_ex_s,uri_ex_o).
% 1.71/1.91 end_of_list.
% 1.71/1.91
% 1.71/1.91 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=8.
% 1.71/1.91
% 1.71/1.91 This is a Horn set without equality. The strategy will
% 1.71/1.91 be hyperresolution, with satellites in sos and nuclei
% 1.71/1.91 in usable.
% 1.71/1.91
% 1.71/1.91 dependent: set(hyper_res).
% 1.71/1.91 dependent: clear(order_hyper).
% 1.71/1.91
% 1.71/1.91 ------------> process usable:
% 1.71/1.91 ** KEPT (pick-wt=6): 1 [] -iext(A,B,C)|ip(A).
% 1.71/1.91 ** KEPT (pick-wt=6): 2 [] -iext(uri_rdf_type,A,uri_rdf_Property)|ip(A).
% 1.71/1.91 ** KEPT (pick-wt=6): 3 [] iext(uri_rdf_type,A,uri_rdf_Property)| -ip(A).
% 1.71/1.91 ** KEPT (pick-wt=7): 4 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.71/1.91 ** KEPT (pick-wt=7): 5 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.71/1.91 ** KEPT (pick-wt=5): 6 [] -ir(A)|icext(uri_rdfs_Resource,A).
% 1.71/1.91 ** KEPT (pick-wt=5): 7 [] ir(A)| -icext(uri_rdfs_Resource,A).
% 1.71/1.91 ** KEPT (pick-wt=5): 8 [] -icext(uri_owl_Thing,A)|ir(A).
% 1.71/1.91 ** KEPT (pick-wt=5): 9 [] icext(uri_owl_Thing,A)| -ir(A).
% 1.71/1.91 ** KEPT (pick-wt=5): 10 [] -icext(uri_owl_ObjectProperty,A)|ip(A).
% 1.71/1.91 ** KEPT (pick-wt=5): 11 [] icext(uri_owl_ObjectProperty,A)| -ip(A).
% 1.71/1.91 ** KEPT (pick-wt=32): 12 [] -iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)| -iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)| -iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)| -iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)| -iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)| -iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)| -iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)| -iext(uri_rdf_type,uri_ex_o,uri_owl_Thing).
% 1.71/1.91
% 1.71/1.91 ------------> process sos:
% 1.71/1.91 ** KEPT (pick-wt=2): 13 [] ir(A).
% 1.71/1.91 ** KEPT (pick-wt=4): 14 [] iext(uri_ex_p,uri_ex_s,uri_ex_o).
% 1.71/1.91 13 back subsumes 8.
% 1.71/1.91 13 back subsumes 7.
% 1.71/1.91
% 1.71/1.91 ======= end of input processing =======
% 1.71/1.91
% 1.71/1.91 =========== start of search ===========
% 1.71/1.91
% 1.71/1.91 -------- PROOF --------
% 1.71/1.91
% 1.71/1.91 -----> EMPTY CLAUSE at 0.00 sec ----> 29 [hyper,25,12,18,17,18,17,21,18,17] $F.
% 1.71/1.91
% 1.71/1.91 Length of proof is 8. Level of proof is 3.
% 1.71/1.91
% 1.71/1.91 ---------------- PROOF ----------------
% 1.71/1.91 % SZS status Theorem
% 1.71/1.91 % SZS output start Refutation
% See solution above
% 1.71/1.91 ------------ end of proof -------------
% 1.71/1.91
% 1.71/1.91
% 1.71/1.91 Search stopped by max_proofs option.
% 1.71/1.91
% 1.71/1.91
% 1.71/1.91 Search stopped by max_proofs option.
% 1.71/1.91
% 1.71/1.91 ============ end of search ============
% 1.71/1.91
% 1.71/1.91 -------------- statistics -------------
% 1.71/1.91 clauses given 15
% 1.71/1.91 clauses generated 26
% 1.71/1.91 clauses kept 28
% 1.71/1.91 clauses forward subsumed 11
% 1.71/1.91 clauses back subsumed 4
% 1.71/1.91 Kbytes malloced 976
% 1.71/1.91
% 1.71/1.91 ----------- times (seconds) -----------
% 1.71/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.71/1.91
% 1.71/1.91 That finishes the proof of the theorem.
% 1.71/1.91
% 1.71/1.91 Process 31139 finished Wed Jul 27 02:29:52 2022
% 1.71/1.91 Otter interrupted
% 1.71/1.91 PROOF FOUND
%------------------------------------------------------------------------------