%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB016+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 13:17:43 EDT 2022
% Result : Theorem 3.96s 4.14s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 13 unt; 4 nHn; 25 RR)
% Number of literals : 47 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_rdf_type,A,uri_rdf_Property)
| ip(A) ),
file('SWB016+2.p',unknown),
[] ).
cnf(4,axiom,
( iext(uri_rdf_type,A,B)
| ~ icext(B,A) ),
file('SWB016+2.p',unknown),
[] ).
cnf(5,axiom,
( ~ iext(uri_rdfs_domain,A,B)
| ~ iext(A,C,D)
| icext(B,C) ),
file('SWB016+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ iext(uri_owl_e_quivalentClass,A,B)
| ic(A) ),
file('SWB016+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ iext(uri_owl_e_quivalentClass,A,B)
| ic(B) ),
file('SWB016+2.p',unknown),
[] ).
cnf(11,axiom,
( iext(uri_rdfs_subClassOf,A,B)
| ~ ic(A)
| ~ ic(B)
| icext(A,dollar_f1(A,B)) ),
file('SWB016+2.p',unknown),
[] ).
cnf(12,axiom,
( iext(uri_rdfs_subClassOf,A,B)
| ~ ic(A)
| ~ ic(B)
| ~ icext(B,dollar_f1(A,B)) ),
file('SWB016+2.p',unknown),
[] ).
cnf(16,axiom,
( iext(uri_rdfs_subPropertyOf,A,B)
| ~ ip(A)
| ~ ip(B)
| iext(A,dollar_f3(A,B),dollar_f2(A,B)) ),
file('SWB016+2.p',unknown),
[] ).
cnf(17,axiom,
( iext(uri_rdfs_subPropertyOf,A,B)
| ~ ip(A)
| ~ ip(B)
| ~ iext(B,dollar_f3(A,B),dollar_f2(A,B)) ),
file('SWB016+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ iext(uri_owl_e_quivalentClass,A,B)
| ~ icext(A,C)
| icext(B,C) ),
file('SWB016+2.p',unknown),
[] ).
cnf(22,axiom,
~ iext(uri_rdfs_subPropertyOf,uri_owl_e_quivalentClass,uri_rdfs_subClassOf),
file('SWB016+2.p',unknown),
[] ).
cnf(31,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('SWB016+2.p',unknown),
[] ).
cnf(32,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('SWB016+2.p',unknown),
[] ).
cnf(33,axiom,
ip(uri_owl_e_quivalentClass),
file('SWB016+2.p',unknown),
[] ).
cnf(38,plain,
icext(uri_rdf_Property,uri_rdfs_subClassOf),
inference(hyper,[status(thm)],[32,5,31]),
[iquote('hyper,32,5,31')] ).
cnf(39,plain,
iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property),
inference(hyper,[status(thm)],[38,4]),
[iquote('hyper,38,4')] ).
cnf(46,plain,
ip(uri_rdfs_subClassOf),
inference(hyper,[status(thm)],[39,1]),
[iquote('hyper,39,1')] ).
cnf(49,plain,
iext(uri_owl_e_quivalentClass,dollar_f3(uri_owl_e_quivalentClass,uri_rdfs_subClassOf),dollar_f2(uri_owl_e_quivalentClass,uri_rdfs_subClassOf)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[46,16,33]),22]),
[iquote('hyper,46,16,33,unit_del,22')] ).
cnf(52,plain,
ic(dollar_f2(uri_owl_e_quivalentClass,uri_rdfs_subClassOf)),
inference(hyper,[status(thm)],[49,7]),
[iquote('hyper,49,7')] ).
cnf(53,plain,
ic(dollar_f3(uri_owl_e_quivalentClass,uri_rdfs_subClassOf)),
inference(hyper,[status(thm)],[49,6]),
[iquote('hyper,49,6')] ).
cnf(61,plain,
( iext(uri_rdfs_subClassOf,dollar_f3(uri_owl_e_quivalentClass,uri_rdfs_subClassOf),dollar_f2(uri_owl_e_quivalentClass,uri_rdfs_subClassOf))
| icext(dollar_f3(uri_owl_e_quivalentClass,uri_rdfs_subClassOf),dollar_f1(dollar_f3(uri_owl_e_quivalentClass,uri_rdfs_subClassOf),dollar_f2(uri_owl_e_quivalentClass,uri_rdfs_subClassOf))) ),
inference(hyper,[status(thm)],[53,11,52]),
[iquote('hyper,53,11,52')] ).
cnf(471,plain,
( iext(uri_rdfs_subClassOf,dollar_f3(uri_owl_e_quivalentClass,uri_rdfs_subClassOf),dollar_f2(uri_owl_e_quivalentClass,uri_rdfs_subClassOf))
| icext(dollar_f2(uri_owl_e_quivalentClass,uri_rdfs_subClassOf),dollar_f1(dollar_f3(uri_owl_e_quivalentClass,uri_rdfs_subClassOf),dollar_f2(uri_owl_e_quivalentClass,uri_rdfs_subClassOf))) ),
inference(hyper,[status(thm)],[61,18,49]),
[iquote('hyper,61,18,49')] ).
cnf(6522,plain,
iext(uri_rdfs_subClassOf,dollar_f3(uri_owl_e_quivalentClass,uri_rdfs_subClassOf),dollar_f2(uri_owl_e_quivalentClass,uri_rdfs_subClassOf)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[471,12,53,52])]),
[iquote('hyper,471,12,53,52,factor_simp')] ).
cnf(6523,plain,
iext(uri_rdfs_subPropertyOf,uri_owl_e_quivalentClass,uri_rdfs_subClassOf),
inference(hyper,[status(thm)],[6522,17,33,46]),
[iquote('hyper,6522,17,33,46')] ).
cnf(6524,plain,
$false,
inference(binary,[status(thm)],[6523,22]),
[iquote('binary,6523.1,22.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % 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 02:30:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.69/1.89 ----- Otter 3.3f, August 2004 -----
% 1.69/1.89 The process was started by sandbox on n005.cluster.edu,
% 1.69/1.89 Wed Jul 27 02:30:05 2022
% 1.69/1.89 The command was "./otter". The process ID is 32016.
% 1.69/1.89
% 1.69/1.89 set(prolog_style_variables).
% 1.69/1.89 set(auto).
% 1.69/1.89 dependent: set(auto1).
% 1.69/1.89 dependent: set(process_input).
% 1.69/1.89 dependent: clear(print_kept).
% 1.69/1.89 dependent: clear(print_new_demod).
% 1.69/1.89 dependent: clear(print_back_demod).
% 1.69/1.89 dependent: clear(print_back_sub).
% 1.69/1.89 dependent: set(control_memory).
% 1.69/1.89 dependent: assign(max_mem, 12000).
% 1.69/1.89 dependent: assign(pick_given_ratio, 4).
% 1.69/1.89 dependent: assign(stats_level, 1).
% 1.69/1.89 dependent: assign(max_seconds, 10800).
% 1.69/1.89 clear(print_given).
% 1.69/1.89
% 1.69/1.89 formula_list(usable).
% 1.69/1.89 all P (iext(uri_rdf_type,P,uri_rdf_Property)<->ip(P)).
% 1.69/1.89 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.69/1.89 all P C X Y (iext(uri_rdfs_domain,P,C)&iext(P,X,Y)->icext(C,X)).
% 1.69/1.89 iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 1.69/1.89 iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class).
% 1.69/1.89 ip(uri_owl_e_quivalentClass).
% 1.69/1.89 all X Y (iext(uri_owl_e_quivalentClass,X,Y)->ic(X)&ic(Y)).
% 1.69/1.89 all C1 C2 (iext(uri_rdfs_subClassOf,C1,C2)<->ic(C1)&ic(C2)& (all X (icext(C1,X)->icext(C2,X)))).
% 1.69/1.89 all P1 P2 (iext(uri_rdfs_subPropertyOf,P1,P2)<->ip(P1)&ip(P2)& (all X Y (iext(P1,X,Y)->iext(P2,X,Y)))).
% 1.69/1.89 all C1 C2 (iext(uri_owl_e_quivalentClass,C1,C2)<->ic(C1)&ic(C2)& (all X (icext(C1,X)<->icext(C2,X)))).
% 1.69/1.89 -iext(uri_rdfs_subPropertyOf,uri_owl_e_quivalentClass,uri_rdfs_subClassOf).
% 1.69/1.89 end_of_list.
% 1.69/1.89
% 1.69/1.89 -------> usable clausifies to:
% 1.69/1.89
% 1.69/1.89 list(usable).
% 1.69/1.89 0 [] -iext(uri_rdf_type,P,uri_rdf_Property)|ip(P).
% 1.69/1.89 0 [] iext(uri_rdf_type,P,uri_rdf_Property)| -ip(P).
% 1.69/1.89 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.69/1.89 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.69/1.89 0 [] -iext(uri_rdfs_domain,P,C)| -iext(P,X,Y)|icext(C,X).
% 1.69/1.89 0 [] iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 1.69/1.89 0 [] iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class).
% 1.69/1.89 0 [] ip(uri_owl_e_quivalentClass).
% 1.69/1.89 0 [] -iext(uri_owl_e_quivalentClass,X,Y)|ic(X).
% 1.69/1.89 0 [] -iext(uri_owl_e_quivalentClass,X,Y)|ic(Y).
% 1.69/1.89 0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C1).
% 1.69/1.89 0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C2).
% 1.69/1.89 0 [] -iext(uri_rdfs_subClassOf,C1,C2)| -icext(C1,X)|icext(C2,X).
% 1.69/1.89 0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f1(C1,C2)).
% 1.69/1.89 0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)| -icext(C2,$f1(C1,C2)).
% 1.69/1.89 0 [] -iext(uri_rdfs_subPropertyOf,P1,P2)|ip(P1).
% 1.69/1.89 0 [] -iext(uri_rdfs_subPropertyOf,P1,P2)|ip(P2).
% 1.69/1.89 0 [] -iext(uri_rdfs_subPropertyOf,P1,P2)| -iext(P1,X,Y)|iext(P2,X,Y).
% 1.69/1.89 0 [] iext(uri_rdfs_subPropertyOf,P1,P2)| -ip(P1)| -ip(P2)|iext(P1,$f3(P1,P2),$f2(P1,P2)).
% 1.69/1.89 0 [] iext(uri_rdfs_subPropertyOf,P1,P2)| -ip(P1)| -ip(P2)| -iext(P2,$f3(P1,P2),$f2(P1,P2)).
% 1.69/1.89 0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|ic(C1).
% 1.69/1.89 0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|ic(C2).
% 1.69/1.89 0 [] -iext(uri_owl_e_quivalentClass,C1,C2)| -icext(C1,X)|icext(C2,X).
% 1.69/1.89 0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|icext(C1,X)| -icext(C2,X).
% 1.69/1.89 0 [] iext(uri_owl_e_quivalentClass,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f4(C1,C2))|icext(C2,$f4(C1,C2)).
% 1.69/1.89 0 [] iext(uri_owl_e_quivalentClass,C1,C2)| -ic(C1)| -ic(C2)| -icext(C1,$f4(C1,C2))| -icext(C2,$f4(C1,C2)).
% 1.69/1.89 0 [] -iext(uri_rdfs_subPropertyOf,uri_owl_e_quivalentClass,uri_rdfs_subClassOf).
% 1.69/1.89 end_of_list.
% 1.69/1.89
% 1.69/1.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.69/1.89
% 1.69/1.89 This is a non-Horn set without equality. The strategy will
% 1.69/1.89 be ordered hyper_res, unit deletion, and factoring, with
% 1.69/1.89 satellites in sos and with nuclei in usable.
% 1.69/1.89
% 1.69/1.89 dependent: set(hyper_res).
% 1.69/1.89 dependent: set(factor).
% 1.69/1.89 dependent: set(unit_deletion).
% 1.69/1.89
% 1.69/1.89 ------------> process usable:
% 1.69/1.89 ** KEPT (pick-wt=6): 1 [] -iext(uri_rdf_type,A,uri_rdf_Property)|ip(A).
% 1.69/1.89 ** KEPT (pick-wt=6): 2 [] iext(uri_rdf_type,A,uri_rdf_Property)| -ip(A).
% 1.69/1.89 ** KEPT (pick-wt=7): 3 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.69/1.89 ** KEPT (pick-wt=7): 4 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.69/1.89 ** KEPT (pick-wt=11): 5 [] -iext(uri_rdfs_domain,A,B)| -iext(A,C,D)|icext(B,C).
% 1.69/1.89 ** KEPT (pick-wt=6): 6 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(A).
% 1.69/1.89 ** KEPT (pick-wt=6): 7 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(B).
% 1.69/1.89 ** KEPT (pick-wt=6): 8 [] -iext(uri_rdfs_subClassOf,A,B)|ic(A).
% 1.69/1.89 ** KEPT (pick-wt=6): 9 [] -iext(uri_rdfs_subClassOf,A,B)|ic(B).
% 3.96/4.14 ** KEPT (pick-wt=10): 10 [] -iext(uri_rdfs_subClassOf,A,B)| -icext(A,C)|icext(B,C).
% 3.96/4.14 ** KEPT (pick-wt=13): 11 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)|icext(A,$f1(A,B)).
% 3.96/4.14 ** KEPT (pick-wt=13): 12 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)| -icext(B,$f1(A,B)).
% 3.96/4.14 ** KEPT (pick-wt=6): 13 [] -iext(uri_rdfs_subPropertyOf,A,B)|ip(A).
% 3.96/4.14 ** KEPT (pick-wt=6): 14 [] -iext(uri_rdfs_subPropertyOf,A,B)|ip(B).
% 3.96/4.14 ** KEPT (pick-wt=12): 15 [] -iext(uri_rdfs_subPropertyOf,A,B)| -iext(A,C,D)|iext(B,C,D).
% 3.96/4.14 ** KEPT (pick-wt=16): 16 [] iext(uri_rdfs_subPropertyOf,A,B)| -ip(A)| -ip(B)|iext(A,$f3(A,B),$f2(A,B)).
% 3.96/4.14 ** KEPT (pick-wt=16): 17 [] iext(uri_rdfs_subPropertyOf,A,B)| -ip(A)| -ip(B)| -iext(B,$f3(A,B),$f2(A,B)).
% 3.96/4.14 Following clause subsumed by 6 during input processing: 0 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(A).
% 3.96/4.14 Following clause subsumed by 7 during input processing: 0 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(B).
% 3.96/4.14 ** KEPT (pick-wt=10): 18 [] -iext(uri_owl_e_quivalentClass,A,B)| -icext(A,C)|icext(B,C).
% 3.96/4.14 ** KEPT (pick-wt=10): 19 [] -iext(uri_owl_e_quivalentClass,A,B)|icext(A,C)| -icext(B,C).
% 3.96/4.14 ** KEPT (pick-wt=18): 20 [] iext(uri_owl_e_quivalentClass,A,B)| -ic(A)| -ic(B)|icext(A,$f4(A,B))|icext(B,$f4(A,B)).
% 3.96/4.14 ** KEPT (pick-wt=18): 21 [] iext(uri_owl_e_quivalentClass,A,B)| -ic(A)| -ic(B)| -icext(A,$f4(A,B))| -icext(B,$f4(A,B)).
% 3.96/4.14 ** KEPT (pick-wt=4): 22 [] -iext(uri_rdfs_subPropertyOf,uri_owl_e_quivalentClass,uri_rdfs_subClassOf).
% 3.96/4.14
% 3.96/4.14 ------------> process sos:
% 3.96/4.14 ** KEPT (pick-wt=4): 31 [] iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 3.96/4.14 ** KEPT (pick-wt=4): 32 [] iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class).
% 3.96/4.14 ** KEPT (pick-wt=2): 33 [] ip(uri_owl_e_quivalentClass).
% 3.96/4.14
% 3.96/4.14 ======= end of input processing =======
% 3.96/4.14
% 3.96/4.14 =========== start of search ===========
% 3.96/4.14
% 3.96/4.14
% 3.96/4.14 Resetting weight limit to 17.
% 3.96/4.14
% 3.96/4.14
% 3.96/4.14 Resetting weight limit to 17.
% 3.96/4.14
% 3.96/4.14 sos_size=3999
% 3.96/4.14
% 3.96/4.14 -------- PROOF --------
% 3.96/4.14
% 3.96/4.14 ----> UNIT CONFLICT at 2.24 sec ----> 6524 [binary,6523.1,22.1] $F.
% 3.96/4.14
% 3.96/4.14 Length of proof is 10. Level of proof is 9.
% 3.96/4.14
% 3.96/4.14 ---------------- PROOF ----------------
% 3.96/4.14 % SZS status Theorem
% 3.96/4.14 % SZS output start Refutation
% See solution above
% 3.96/4.14 ------------ end of proof -------------
% 3.96/4.14
% 3.96/4.14
% 3.96/4.14 Search stopped by max_proofs option.
% 3.96/4.14
% 3.96/4.14
% 3.96/4.14 Search stopped by max_proofs option.
% 3.96/4.14
% 3.96/4.14 ============ end of search ============
% 3.96/4.14
% 3.96/4.14 -------------- statistics -------------
% 3.96/4.14 clauses given 1687
% 3.96/4.14 clauses generated 134374
% 3.96/4.14 clauses kept 6523
% 3.96/4.14 clauses forward subsumed 10866
% 3.96/4.14 clauses back subsumed 1046
% 3.96/4.14 Kbytes malloced 4882
% 3.96/4.14
% 3.96/4.14 ----------- times (seconds) -----------
% 3.96/4.14 user CPU time 2.24 (0 hr, 0 min, 2 sec)
% 3.96/4.14 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.96/4.14 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 3.96/4.14
% 3.96/4.14 That finishes the proof of the theorem.
% 3.96/4.14
% 3.96/4.14 Process 32016 finished Wed Jul 27 02:30:09 2022
% 3.96/4.14 Otter interrupted
% 3.96/4.14 PROOF FOUND
%------------------------------------------------------------------------------