%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB018+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 13:17:44 EDT 2022
% Result : Theorem 1.77s 1.92s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 14 ( 2 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( iext(uri_rdf_type,A,B)
| ~ icext(B,A) ),
file('SWB018+2.p',unknown),
[] ).
cnf(3,axiom,
( ~ iext(uri_rdfs_domain,A,B)
| ~ iext(A,C,D)
| icext(B,C) ),
file('SWB018+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ iext(uri_owl_sameAs,A,B)
| A = B ),
file('SWB018+2.p',unknown),
[] ).
cnf(6,axiom,
~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
file('SWB018+2.p',unknown),
[] ).
cnf(8,axiom,
iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
file('SWB018+2.p',unknown),
[] ).
cnf(9,axiom,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
file('SWB018+2.p',unknown),
[] ).
cnf(15,plain,
uri_ex_w = uri_ex_u,
inference(hyper,[status(thm)],[9,4]),
[iquote('hyper,9,4')] ).
cnf(16,plain,
icext(uri_ex_Person,uri_ex_u),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[9,3,8]),15]),
[iquote('hyper,9,3,8,demod,15')] ).
cnf(18,plain,
iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
inference(hyper,[status(thm)],[16,2]),
[iquote('hyper,16,2')] ).
cnf(19,plain,
$false,
inference(binary,[status(thm)],[18,6]),
[iquote('binary,18.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB018+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 02:29:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.77/1.92 ----- Otter 3.3f, August 2004 -----
% 1.77/1.92 The process was started by sandbox2 on n012.cluster.edu,
% 1.77/1.92 Wed Jul 27 02:29:51 2022
% 1.77/1.92 The command was "./otter". The process ID is 22751.
% 1.77/1.92
% 1.77/1.92 set(prolog_style_variables).
% 1.77/1.92 set(auto).
% 1.77/1.92 dependent: set(auto1).
% 1.77/1.92 dependent: set(process_input).
% 1.77/1.92 dependent: clear(print_kept).
% 1.77/1.92 dependent: clear(print_new_demod).
% 1.77/1.92 dependent: clear(print_back_demod).
% 1.77/1.92 dependent: clear(print_back_sub).
% 1.77/1.92 dependent: set(control_memory).
% 1.77/1.92 dependent: assign(max_mem, 12000).
% 1.77/1.92 dependent: assign(pick_given_ratio, 4).
% 1.77/1.92 dependent: assign(stats_level, 1).
% 1.77/1.92 dependent: assign(max_seconds, 10800).
% 1.77/1.92 clear(print_given).
% 1.77/1.92
% 1.77/1.92 formula_list(usable).
% 1.77/1.92 all A (A=A).
% 1.77/1.92 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.77/1.92 all P C X Y (iext(uri_rdfs_domain,P,C)&iext(P,X,Y)->icext(C,X)).
% 1.77/1.92 all X Y (iext(uri_owl_sameAs,X,Y)<->X=Y).
% 1.77/1.92 -iext(uri_rdf_type,uri_ex_u,uri_ex_Person).
% 1.77/1.92 iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person).
% 1.77/1.92 iext(uri_owl_sameAs,uri_ex_w,uri_ex_u).
% 1.77/1.92 end_of_list.
% 1.77/1.92
% 1.77/1.92 -------> usable clausifies to:
% 1.77/1.92
% 1.77/1.92 list(usable).
% 1.77/1.92 0 [] A=A.
% 1.77/1.92 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.77/1.92 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.77/1.92 0 [] -iext(uri_rdfs_domain,P,C)| -iext(P,X,Y)|icext(C,X).
% 1.77/1.92 0 [] -iext(uri_owl_sameAs,X,Y)|X=Y.
% 1.77/1.92 0 [] iext(uri_owl_sameAs,X,Y)|X!=Y.
% 1.77/1.92 0 [] -iext(uri_rdf_type,uri_ex_u,uri_ex_Person).
% 1.77/1.92 0 [] iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person).
% 1.77/1.92 0 [] iext(uri_owl_sameAs,uri_ex_w,uri_ex_u).
% 1.77/1.92 end_of_list.
% 1.77/1.92
% 1.77/1.92 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 1.77/1.92
% 1.77/1.92 This is a Horn set with equality. The strategy will be
% 1.77/1.92 Knuth-Bendix and hyper_res, with positive clauses in
% 1.77/1.92 sos and nonpositive clauses in usable.
% 1.77/1.92
% 1.77/1.92 dependent: set(knuth_bendix).
% 1.77/1.92 dependent: set(anl_eq).
% 1.77/1.92 dependent: set(para_from).
% 1.77/1.92 dependent: set(para_into).
% 1.77/1.92 dependent: clear(para_from_right).
% 1.77/1.92 dependent: clear(para_into_right).
% 1.77/1.92 dependent: set(para_from_vars).
% 1.77/1.92 dependent: set(eq_units_both_ways).
% 1.77/1.92 dependent: set(dynamic_demod_all).
% 1.77/1.92 dependent: set(dynamic_demod).
% 1.77/1.92 dependent: set(order_eq).
% 1.77/1.92 dependent: set(back_demod).
% 1.77/1.92 dependent: set(lrpo).
% 1.77/1.92 dependent: set(hyper_res).
% 1.77/1.92 dependent: clear(order_hyper).
% 1.77/1.92
% 1.77/1.92 ------------> process usable:
% 1.77/1.92 ** KEPT (pick-wt=7): 1 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.77/1.92 ** KEPT (pick-wt=7): 2 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.77/1.92 ** KEPT (pick-wt=11): 3 [] -iext(uri_rdfs_domain,A,B)| -iext(A,C,D)|icext(B,C).
% 1.77/1.92 ** KEPT (pick-wt=7): 4 [] -iext(uri_owl_sameAs,A,B)|A=B.
% 1.77/1.92 ** KEPT (pick-wt=7): 5 [] iext(uri_owl_sameAs,A,B)|A!=B.
% 1.77/1.92 ** KEPT (pick-wt=4): 6 [] -iext(uri_rdf_type,uri_ex_u,uri_ex_Person).
% 1.77/1.92
% 1.77/1.92 ------------> process sos:
% 1.77/1.92 ** KEPT (pick-wt=3): 7 [] A=A.
% 1.77/1.92 ** KEPT (pick-wt=4): 8 [] iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person).
% 1.77/1.92 ** KEPT (pick-wt=4): 9 [] iext(uri_owl_sameAs,uri_ex_w,uri_ex_u).
% 1.77/1.92 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] A=A.
% 1.77/1.92
% 1.77/1.92 ======= end of input processing =======
% 1.77/1.92
% 1.77/1.92 =========== start of search ===========
% 1.77/1.92
% 1.77/1.92 -------- PROOF --------
% 1.77/1.92
% 1.77/1.92 ----> UNIT CONFLICT at 0.00 sec ----> 19 [binary,18.1,6.1] $F.
% 1.77/1.92
% 1.77/1.92 Length of proof is 3. Level of proof is 3.
% 1.77/1.92
% 1.77/1.92 ---------------- PROOF ----------------
% 1.77/1.92 % SZS status Theorem
% 1.77/1.92 % SZS output start Refutation
% See solution above
% 1.77/1.92 ------------ end of proof -------------
% 1.77/1.92
% 1.77/1.92
% 1.77/1.92 Search stopped by max_proofs option.
% 1.77/1.92
% 1.77/1.92
% 1.77/1.92 Search stopped by max_proofs option.
% 1.77/1.92
% 1.77/1.92 ============ end of search ============
% 1.77/1.92
% 1.77/1.92 -------------- statistics -------------
% 1.77/1.92 clauses given 5
% 1.77/1.92 clauses generated 11
% 1.77/1.92 clauses kept 17
% 1.77/1.92 clauses forward subsumed 5
% 1.77/1.92 clauses back subsumed 0
% 1.77/1.92 Kbytes malloced 976
% 1.77/1.92
% 1.77/1.92 ----------- times (seconds) -----------
% 1.77/1.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.92 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.77/1.92
% 1.77/1.92 That finishes the proof of the theorem.
% 1.77/1.92
% 1.77/1.92 Process 22751 finished Wed Jul 27 02:29:52 2022
% 1.77/1.92 Otter interrupted
% 1.77/1.92 PROOF FOUND
%------------------------------------------------------------------------------