TSTP Solution File: SWB008+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 13:17:39 EDT 2022
% Result : Theorem 1.61s 1.81s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 11 RR)
% Number of literals : 18 ( 4 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_rdf_type,A,B)
| icext(B,A) ),
file('SWB008+2.p',unknown),
[] ).
cnf(4,axiom,
( iext(uri_owl_sameAs,A,B)
| A != B ),
file('SWB008+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ icext(uri_owl_InverseFunctionalProperty,A)
| ~ iext(A,B,C)
| ~ iext(A,D,C)
| B = D ),
file('SWB008+2.p',unknown),
[] ).
cnf(10,axiom,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('SWB008+2.p',unknown),
[] ).
cnf(12,axiom,
A = A,
file('SWB008+2.p',unknown),
[] ).
cnf(14,axiom,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
file('SWB008+2.p',unknown),
[] ).
cnf(15,axiom,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
file('SWB008+2.p',unknown),
[] ).
cnf(16,axiom,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
file('SWB008+2.p',unknown),
[] ).
cnf(17,plain,
iext(uri_owl_sameAs,A,A),
inference(hyper,[status(thm)],[12,4]),
[iquote('hyper,12,4')] ).
cnf(29,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(hyper,[status(thm)],[14,1]),
[iquote('hyper,14,1')] ).
cnf(54,plain,
uri_ex_robert = uri_ex_bob,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[16,6,29,15])]),
[iquote('hyper,16,6,29,15,flip.1')] ).
cnf(55,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[10]),54]),
[iquote('back_demod,10,demod,54')] ).
cnf(56,plain,
$false,
inference(binary,[status(thm)],[55,17]),
[iquote('binary,55.1,17.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB008+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.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 02:32:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.61/1.81 ----- Otter 3.3f, August 2004 -----
% 1.61/1.81 The process was started by sandbox on n018.cluster.edu,
% 1.61/1.81 Wed Jul 27 02:32:46 2022
% 1.61/1.81 The command was "./otter". The process ID is 20557.
% 1.61/1.81
% 1.61/1.81 set(prolog_style_variables).
% 1.61/1.81 set(auto).
% 1.61/1.81 dependent: set(auto1).
% 1.61/1.81 dependent: set(process_input).
% 1.61/1.81 dependent: clear(print_kept).
% 1.61/1.81 dependent: clear(print_new_demod).
% 1.61/1.81 dependent: clear(print_back_demod).
% 1.61/1.81 dependent: clear(print_back_sub).
% 1.61/1.81 dependent: set(control_memory).
% 1.61/1.81 dependent: assign(max_mem, 12000).
% 1.61/1.81 dependent: assign(pick_given_ratio, 4).
% 1.61/1.81 dependent: assign(stats_level, 1).
% 1.61/1.81 dependent: assign(max_seconds, 10800).
% 1.61/1.81 clear(print_given).
% 1.61/1.81
% 1.61/1.81 formula_list(usable).
% 1.61/1.81 all A (A=A).
% 1.61/1.81 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.61/1.81 all X Y (iext(uri_owl_sameAs,X,Y)<->X=Y).
% 1.61/1.81 all P (icext(uri_owl_InverseFunctionalProperty,P)<->ip(P)& (all X1 X2 Y (iext(P,X1,Y)&iext(P,X2,Y)->X1=X2))).
% 1.61/1.81 -iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert).
% 1.61/1.81 iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty).
% 1.61/1.81 iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty).
% 1.61/1.81 iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)).
% 1.61/1.81 iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)).
% 1.61/1.81 end_of_list.
% 1.61/1.81
% 1.61/1.81 -------> usable clausifies to:
% 1.61/1.81
% 1.61/1.81 list(usable).
% 1.61/1.81 0 [] A=A.
% 1.61/1.81 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.61/1.81 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.61/1.81 0 [] -iext(uri_owl_sameAs,X,Y)|X=Y.
% 1.61/1.81 0 [] iext(uri_owl_sameAs,X,Y)|X!=Y.
% 1.61/1.81 0 [] -icext(uri_owl_InverseFunctionalProperty,P)|ip(P).
% 1.61/1.81 0 [] -icext(uri_owl_InverseFunctionalProperty,P)| -iext(P,X1,Y)| -iext(P,X2,Y)|X1=X2.
% 1.61/1.81 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|iext(P,$f3(P),$f1(P)).
% 1.61/1.81 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|iext(P,$f2(P),$f1(P)).
% 1.61/1.81 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|$f3(P)!=$f2(P).
% 1.61/1.81 0 [] -iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert).
% 1.61/1.81 0 [] iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty).
% 1.61/1.81 0 [] iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty).
% 1.61/1.81 0 [] iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)).
% 1.61/1.81 0 [] iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)).
% 1.61/1.81 end_of_list.
% 1.61/1.81
% 1.61/1.81 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.61/1.81
% 1.61/1.81 This ia a non-Horn set with equality. The strategy will be
% 1.61/1.81 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.61/1.81 deletion, with positive clauses in sos and nonpositive
% 1.61/1.81 clauses in usable.
% 1.61/1.81
% 1.61/1.81 dependent: set(knuth_bendix).
% 1.61/1.81 dependent: set(anl_eq).
% 1.61/1.81 dependent: set(para_from).
% 1.61/1.81 dependent: set(para_into).
% 1.61/1.81 dependent: clear(para_from_right).
% 1.61/1.81 dependent: clear(para_into_right).
% 1.61/1.81 dependent: set(para_from_vars).
% 1.61/1.81 dependent: set(eq_units_both_ways).
% 1.61/1.81 dependent: set(dynamic_demod_all).
% 1.61/1.81 dependent: set(dynamic_demod).
% 1.61/1.81 dependent: set(order_eq).
% 1.61/1.81 dependent: set(back_demod).
% 1.61/1.81 dependent: set(lrpo).
% 1.61/1.81 dependent: set(hyper_res).
% 1.61/1.81 dependent: set(unit_deletion).
% 1.61/1.81 dependent: set(factor).
% 1.61/1.81
% 1.61/1.81 ------------> process usable:
% 1.61/1.81 ** KEPT (pick-wt=7): 1 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.61/1.81 ** KEPT (pick-wt=7): 2 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.61/1.81 ** KEPT (pick-wt=7): 3 [] -iext(uri_owl_sameAs,A,B)|A=B.
% 1.61/1.81 ** KEPT (pick-wt=7): 4 [] iext(uri_owl_sameAs,A,B)|A!=B.
% 1.61/1.81 ** KEPT (pick-wt=5): 5 [] -icext(uri_owl_InverseFunctionalProperty,A)|ip(A).
% 1.61/1.81 ** KEPT (pick-wt=14): 6 [] -icext(uri_owl_InverseFunctionalProperty,A)| -iext(A,B,C)| -iext(A,D,C)|B=D.
% 1.61/1.81 ** KEPT (pick-wt=11): 7 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|iext(A,$f3(A),$f1(A)).
% 1.61/1.81 ** KEPT (pick-wt=11): 8 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|iext(A,$f2(A),$f1(A)).
% 1.61/1.81 ** KEPT (pick-wt=10): 9 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|$f3(A)!=$f2(A).
% 1.61/1.81 ** KEPT (pick-wt=4): 10 [] -iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert).
% 1.61/1.81
% 1.61/1.81 ------------> process sos:
% 1.61/1.81 ** KEPT (pick-wt=3): 12 [] A=A.
% 1.61/1.81 ** KEPT (pick-wt=4): 13 [] iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty).
% 1.61/1.81 ** KEPT (pick-wt=4): 14 [] iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty).
% 1.61/1.81 ** KEPT (pick-wt=5): 15 [] iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)).
% 1.61/1.81 ** KEPT (pick-wt=5): 16 [] iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)).
% 1.61/1.81 Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] A=A.
% 1.61/1.81 12 back subsumes 11.
% 1.61/1.81
% 1.61/1.81 ======= end of input processing =======
% 1.61/1.81
% 1.61/1.81 =========== start of search ===========
% 1.61/1.81
% 1.61/1.81 -------- PROOF --------
% 1.61/1.81
% 1.61/1.81 ----> UNIT CONFLICT at 0.00 sec ----> 56 [binary,55.1,17.1] $F.
% 1.61/1.81
% 1.61/1.81 Length of proof is 4. Level of proof is 3.
% 1.61/1.81
% 1.61/1.81 ---------------- PROOF ----------------
% 1.61/1.81 % SZS status Theorem
% 1.61/1.81 % SZS output start Refutation
% See solution above
% 1.61/1.81 ------------ end of proof -------------
% 1.61/1.81
% 1.61/1.81
% 1.61/1.81 Search stopped by max_proofs option.
% 1.61/1.81
% 1.61/1.81
% 1.61/1.81 Search stopped by max_proofs option.
% 1.61/1.81
% 1.61/1.81 ============ end of search ============
% 1.61/1.81
% 1.61/1.81 -------------- statistics -------------
% 1.61/1.81 clauses given 9
% 1.61/1.81 clauses generated 64
% 1.61/1.81 clauses kept 54
% 1.61/1.81 clauses forward subsumed 28
% 1.61/1.81 clauses back subsumed 1
% 1.61/1.81 Kbytes malloced 976
% 1.61/1.81
% 1.61/1.81 ----------- times (seconds) -----------
% 1.61/1.81 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.61/1.81 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.61/1.81 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.61/1.81
% 1.61/1.81 That finishes the proof of the theorem.
% 1.61/1.81
% 1.61/1.81 Process 20557 finished Wed Jul 27 02:32:47 2022
% 1.61/1.81 Otter interrupted
% 1.61/1.81 PROOF FOUND
%------------------------------------------------------------------------------