TSTP Solution File: SWB014+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB014+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 13:17:42 EDT 2022
% Result : Theorem 1.81s 2.01s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 18 ( 11 unt; 4 nHn; 18 RR)
% Number of literals : 31 ( 0 equ; 10 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_rdf_type,A,B)
| icext(B,A) ),
file('SWB014+2.p',unknown),
[] ).
cnf(2,axiom,
( iext(uri_rdf_type,A,B)
| ~ icext(B,A) ),
file('SWB014+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,A,C)
| ~ iext(uri_rdf_first,C,D)
| ~ iext(uri_rdf_rest,C,uri_rdf_nil)
| ~ iext(uri_owl_unionOf,E,A)
| ~ icext(E,F)
| icext(B,F)
| icext(D,F) ),
file('SWB014+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ iext(uri_rdf_type,uri_ex_harry,A)
| ~ iext(uri_rdf_type,A,uri_ex_Species) ),
file('SWB014+2.p',unknown),
[] ).
cnf(46,axiom,
iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
file('SWB014+2.p',unknown),
[] ).
cnf(47,axiom,
iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
file('SWB014+2.p',unknown),
[] ).
cnf(48,axiom,
iext(uri_rdf_type,uri_ex_harry,dollar_c3),
file('SWB014+2.p',unknown),
[] ).
cnf(49,axiom,
iext(uri_owl_unionOf,dollar_c3,dollar_c2),
file('SWB014+2.p',unknown),
[] ).
cnf(50,axiom,
iext(uri_rdf_first,dollar_c2,uri_ex_Eagle),
file('SWB014+2.p',unknown),
[] ).
cnf(51,axiom,
iext(uri_rdf_rest,dollar_c2,dollar_c1),
file('SWB014+2.p',unknown),
[] ).
cnf(52,axiom,
iext(uri_rdf_first,dollar_c1,uri_ex_Falcon),
file('SWB014+2.p',unknown),
[] ).
cnf(53,axiom,
iext(uri_rdf_rest,dollar_c1,uri_rdf_nil),
file('SWB014+2.p',unknown),
[] ).
cnf(56,plain,
icext(dollar_c3,uri_ex_harry),
inference(hyper,[status(thm)],[48,1]),
[iquote('hyper,48,1')] ).
cnf(57,plain,
( icext(uri_ex_Eagle,uri_ex_harry)
| icext(uri_ex_Falcon,uri_ex_harry) ),
inference(hyper,[status(thm)],[53,6,50,51,52,49,56]),
[iquote('hyper,53,6,50,51,52,49,56')] ).
cnf(63,plain,
( icext(uri_ex_Falcon,uri_ex_harry)
| iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle) ),
inference(hyper,[status(thm)],[57,2]),
[iquote('hyper,57,2')] ).
cnf(68,plain,
( iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle)
| iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon) ),
inference(hyper,[status(thm)],[63,2]),
[iquote('hyper,63,2')] ).
cnf(69,plain,
iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
inference(hyper,[status(thm)],[68,12,46]),
[iquote('hyper,68,12,46')] ).
cnf(71,plain,
$false,
inference(hyper,[status(thm)],[69,12,47]),
[iquote('hyper,69,12,47')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB014+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n005.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 02:30:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.81/2.01 ----- Otter 3.3f, August 2004 -----
% 1.81/2.01 The process was started by sandbox on n005.cluster.edu,
% 1.81/2.01 Wed Jul 27 02:30:20 2022
% 1.81/2.01 The command was "./otter". The process ID is 548.
% 1.81/2.01
% 1.81/2.01 set(prolog_style_variables).
% 1.81/2.01 set(auto).
% 1.81/2.01 dependent: set(auto1).
% 1.81/2.01 dependent: set(process_input).
% 1.81/2.01 dependent: clear(print_kept).
% 1.81/2.01 dependent: clear(print_new_demod).
% 1.81/2.01 dependent: clear(print_back_demod).
% 1.81/2.01 dependent: clear(print_back_sub).
% 1.81/2.01 dependent: set(control_memory).
% 1.81/2.01 dependent: assign(max_mem, 12000).
% 1.81/2.01 dependent: assign(pick_given_ratio, 4).
% 1.81/2.01 dependent: assign(stats_level, 1).
% 1.81/2.01 dependent: assign(max_seconds, 10800).
% 1.81/2.01 clear(print_given).
% 1.81/2.01
% 1.81/2.01 formula_list(usable).
% 1.81/2.01 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.81/2.01 all Z S1 C1 S2 C2 (iext(uri_rdf_first,S1,C1)&iext(uri_rdf_rest,S1,S2)&iext(uri_rdf_first,S2,C2)&iext(uri_rdf_rest,S2,uri_rdf_nil)-> (iext(uri_owl_unionOf,Z,S1)<->ic(Z)&ic(C1)&ic(C2)& (all X (icext(Z,X)<->icext(C1,X)|icext(C2,X))))).
% 1.81/2.01 -(exists BNODE_x (iext(uri_rdf_type,uri_ex_harry,BNODE_x)&iext(uri_rdf_type,BNODE_x,uri_ex_Species))).
% 1.81/2.01 exists BNODE_u BNODE_l1 BNODE_l2 (iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)&iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)&iext(uri_rdf_type,uri_ex_harry,BNODE_u)&iext(uri_owl_unionOf,BNODE_u,BNODE_l1)&iext(uri_rdf_first,BNODE_l1,uri_ex_Eagle)&iext(uri_rdf_rest,BNODE_l1,BNODE_l2)&iext(uri_rdf_first,BNODE_l2,uri_ex_Falcon)&iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)).
% 1.81/2.01 end_of_list.
% 1.81/2.01
% 1.81/2.01 -------> usable clausifies to:
% 1.81/2.01
% 1.81/2.01 list(usable).
% 1.81/2.01 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.81/2.01 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_unionOf,Z,S1)|ic(Z).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_unionOf,Z,S1)|ic(C1).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_unionOf,Z,S1)|ic(C2).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_unionOf,Z,S1)| -icext(Z,X)|icext(C1,X)|icext(C2,X).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_unionOf,Z,S1)|icext(Z,X)| -icext(C1,X).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)| -iext(uri_owl_unionOf,Z,S1)|icext(Z,X)| -icext(C2,X).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)|iext(uri_owl_unionOf,Z,S1)| -ic(Z)| -ic(C1)| -ic(C2)|icext(Z,$f1(Z,S1,C1,S2,C2))|icext(C1,$f1(Z,S1,C1,S2,C2))|icext(C2,$f1(Z,S1,C1,S2,C2)).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)|iext(uri_owl_unionOf,Z,S1)| -ic(Z)| -ic(C1)| -ic(C2)| -icext(Z,$f1(Z,S1,C1,S2,C2))| -icext(C1,$f1(Z,S1,C1,S2,C2)).
% 1.81/2.01 0 [] -iext(uri_rdf_first,S1,C1)| -iext(uri_rdf_rest,S1,S2)| -iext(uri_rdf_first,S2,C2)| -iext(uri_rdf_rest,S2,uri_rdf_nil)|iext(uri_owl_unionOf,Z,S1)| -ic(Z)| -ic(C1)| -ic(C2)| -icext(Z,$f1(Z,S1,C1,S2,C2))| -icext(C2,$f1(Z,S1,C1,S2,C2)).
% 1.81/2.01 0 [] -iext(uri_rdf_type,uri_ex_harry,BNODE_x)| -iext(uri_rdf_type,BNODE_x,uri_ex_Species).
% 1.81/2.01 0 [] iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species).
% 1.81/2.01 0 [] iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species).
% 1.81/2.01 0 [] iext(uri_rdf_type,uri_ex_harry,$c3).
% 1.81/2.01 0 [] iext(uri_owl_unionOf,$c3,$c2).
% 1.81/2.01 0 [] iext(uri_rdf_first,$c2,uri_ex_Eagle).
% 1.81/2.01 0 [] iext(uri_rdf_rest,$c2,$c1).
% 1.81/2.01 0 [] iext(uri_rdf_first,$c1,uri_ex_Falcon).
% 1.81/2.01 0 [] iext(uri_rdf_rest,$c1,uri_rdf_nil).
% 1.81/2.01 end_of_list.
% 1.81/2.01
% 1.81/2.01 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=11.
% 1.81/2.01
% 1.81/2.01 This is a non-Horn set without equality. The strategy will
% 1.81/2.01 be ordered hyper_res, unit deletion, and factoring, with
% 1.81/2.01 satellites in sos and with nuclei in usable.
% 1.81/2.01
% 1.81/2.01 dependent: set(hyper_res).
% 1.81/2.01 dependent: set(factor).
% 1.81/2.01 dependent: set(unit_deletion).
% 1.81/2.01
% 1.81/2.01 ------------> process usable:
% 1.81/2.01 ** KEPT (pick-wt=7): 1 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.81/2.01 ** KEPT (pick-wt=7): 2 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.81/2.01 ** KEPT (pick-wt=22): 3 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_unionOf,E,A)|ic(E).
% 1.81/2.01 ** KEPT (pick-wt=22): 4 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_unionOf,E,A)|ic(B).
% 1.81/2.01 ** KEPT (pick-wt=22): 5 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_unionOf,E,A)|ic(D).
% 1.81/2.01 ** KEPT (pick-wt=29): 6 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_unionOf,E,A)| -icext(E,F)|icext(B,F)|icext(D,F).
% 1.81/2.01 ** KEPT (pick-wt=26): 7 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_unionOf,E,A)|icext(E,F)| -icext(B,F).
% 1.81/2.01 ** KEPT (pick-wt=26): 8 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)| -iext(uri_owl_unionOf,E,A)|icext(E,F)| -icext(D,F).
% 1.81/2.01 ** KEPT (pick-wt=50): 9 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)|iext(uri_owl_unionOf,E,A)| -ic(E)| -ic(B)| -ic(D)|icext(E,$f1(E,A,B,C,D))|icext(B,$f1(E,A,B,C,D))|icext(D,$f1(E,A,B,C,D)).
% 1.81/2.01 ** KEPT (pick-wt=42): 10 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)|iext(uri_owl_unionOf,E,A)| -ic(E)| -ic(B)| -ic(D)| -icext(E,$f1(E,A,B,C,D))| -icext(B,$f1(E,A,B,C,D)).
% 1.81/2.01 ** KEPT (pick-wt=42): 11 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,C)| -iext(uri_rdf_first,C,D)| -iext(uri_rdf_rest,C,uri_rdf_nil)|iext(uri_owl_unionOf,E,A)| -ic(E)| -ic(B)| -ic(D)| -icext(E,$f1(E,A,B,C,D))| -icext(D,$f1(E,A,B,C,D)).
% 1.81/2.01 ** KEPT (pick-wt=8): 12 [] -iext(uri_rdf_type,uri_ex_harry,A)| -iext(uri_rdf_type,A,uri_ex_Species).
% 1.81/2.01 33 back subsumes 30.
% 1.81/2.01
% 1.81/2.01 ------------> process sos:
% 1.81/2.01 ** KEPT (pick-wt=4): 46 [] iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species).
% 1.81/2.01 ** KEPT (pick-wt=4): 47 [] iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species).
% 1.81/2.01 ** KEPT (pick-wt=4): 48 [] iext(uri_rdf_type,uri_ex_harry,$c3).
% 1.81/2.01 ** KEPT (pick-wt=4): 49 [] iext(uri_owl_unionOf,$c3,$c2).
% 1.81/2.01 ** KEPT (pick-wt=4): 50 [] iext(uri_rdf_first,$c2,uri_ex_Eagle).
% 1.81/2.01 ** KEPT (pick-wt=4): 51 [] iext(uri_rdf_rest,$c2,$c1).
% 1.81/2.01 ** KEPT (pick-wt=4): 52 [] iext(uri_rdf_first,$c1,uri_ex_Falcon).
% 1.81/2.01 ** KEPT (pick-wt=4): 53 [] iext(uri_rdf_rest,$c1,uri_rdf_nil).
% 1.81/2.01
% 1.81/2.01 ======= end of input processing =======
% 1.81/2.01
% 1.81/2.01 =========== start of search ===========
% 1.81/2.01
% 1.81/2.01 -------- PROOF --------
% 1.81/2.01
% 1.81/2.01 -----> EMPTY CLAUSE at 0.01 sec ----> 71 [hyper,69,12,47] $F.
% 1.81/2.01
% 1.81/2.01 Length of proof is 5. Level of proof is 5.
% 1.81/2.01
% 1.81/2.01 ---------------- PROOF ----------------
% 1.81/2.01 % SZS status Theorem
% 1.81/2.01 % SZS output start Refutation
% See solution above
% 1.81/2.01 ------------ end of proof -------------
% 1.81/2.01
% 1.81/2.01
% 1.81/2.01 Search stopped by max_proofs option.
% 1.81/2.01
% 1.81/2.01
% 1.81/2.01 Search stopped by max_proofs option.
% 1.81/2.01
% 1.81/2.01 ============ end of search ============
% 1.81/2.01
% 1.81/2.01 -------------- statistics -------------
% 1.81/2.01 clauses given 20
% 1.81/2.01 clauses generated 146
% 1.81/2.01 clauses kept 70
% 1.81/2.01 clauses forward subsumed 95
% 1.81/2.01 clauses back subsumed 5
% 1.81/2.01 Kbytes malloced 976
% 1.81/2.01
% 1.81/2.01 ----------- times (seconds) -----------
% 1.81/2.01 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.81/2.01 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.81/2.01 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.81/2.01
% 1.81/2.01 That finishes the proof of the theorem.
% 1.81/2.01
% 1.81/2.01 Process 548 finished Wed Jul 27 02:30:22 2022
% 1.81/2.01 Otter interrupted
% 1.81/2.01 PROOF FOUND
%------------------------------------------------------------------------------