%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB011+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:17:40 EDT 2022
% Result : Unsatisfiable 1.96s 2.14s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_rdf_type,A,B)
| icext(B,A) ),
file('SWB011+2.p',unknown),
[] ).
cnf(5,axiom,
( ~ iext(uri_owl_disjointWith,A,B)
| ~ icext(A,C)
| ~ icext(B,C) ),
file('SWB011+2.p',unknown),
[] ).
cnf(10,axiom,
iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
file('SWB011+2.p',unknown),
[] ).
cnf(11,axiom,
iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
file('SWB011+2.p',unknown),
[] ).
cnf(12,axiom,
iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
file('SWB011+2.p',unknown),
[] ).
cnf(19,plain,
icext(uri_owl_Class,uri_ex_x),
inference(hyper,[status(thm)],[11,1]),
[iquote('hyper,11,1')] ).
cnf(20,plain,
icext(uri_owl_ObjectProperty,uri_ex_x),
inference(hyper,[status(thm)],[12,1]),
[iquote('hyper,12,1')] ).
cnf(21,plain,
$false,
inference(hyper,[status(thm)],[20,5,10,19]),
[iquote('hyper,20,5,10,19')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWB011+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n011.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 02:27:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.96/2.14 ----- Otter 3.3f, August 2004 -----
% 1.96/2.14 The process was started by sandbox2 on n011.cluster.edu,
% 1.96/2.14 Wed Jul 27 02:27:25 2022
% 1.96/2.14 The command was "./otter". The process ID is 17425.
% 1.96/2.14
% 1.96/2.14 set(prolog_style_variables).
% 1.96/2.14 set(auto).
% 1.96/2.14 dependent: set(auto1).
% 1.96/2.14 dependent: set(process_input).
% 1.96/2.14 dependent: clear(print_kept).
% 1.96/2.14 dependent: clear(print_new_demod).
% 1.96/2.14 dependent: clear(print_back_demod).
% 1.96/2.14 dependent: clear(print_back_sub).
% 1.96/2.14 dependent: set(control_memory).
% 1.96/2.14 dependent: assign(max_mem, 12000).
% 1.96/2.14 dependent: assign(pick_given_ratio, 4).
% 1.96/2.14 dependent: assign(stats_level, 1).
% 1.96/2.14 dependent: assign(max_seconds, 10800).
% 1.96/2.14 clear(print_given).
% 1.96/2.14
% 1.96/2.14 formula_list(usable).
% 1.96/2.14 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.96/2.14 all C1 C2 (iext(uri_owl_disjointWith,C1,C2)<->ic(C1)&ic(C2)& (all X (-(icext(C1,X)&icext(C2,X))))).
% 1.96/2.14 iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty).
% 1.96/2.14 iext(uri_rdf_type,uri_ex_x,uri_owl_Class).
% 1.96/2.14 iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty).
% 1.96/2.14 end_of_list.
% 1.96/2.14
% 1.96/2.14 -------> usable clausifies to:
% 1.96/2.14
% 1.96/2.14 list(usable).
% 1.96/2.14 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.96/2.14 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.96/2.14 0 [] -iext(uri_owl_disjointWith,C1,C2)|ic(C1).
% 1.96/2.14 0 [] -iext(uri_owl_disjointWith,C1,C2)|ic(C2).
% 1.96/2.14 0 [] -iext(uri_owl_disjointWith,C1,C2)| -icext(C1,X)| -icext(C2,X).
% 1.96/2.14 0 [] iext(uri_owl_disjointWith,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f1(C1,C2)).
% 1.96/2.14 0 [] iext(uri_owl_disjointWith,C1,C2)| -ic(C1)| -ic(C2)|icext(C2,$f1(C1,C2)).
% 1.96/2.14 0 [] iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty).
% 1.96/2.14 0 [] iext(uri_rdf_type,uri_ex_x,uri_owl_Class).
% 1.96/2.14 0 [] iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty).
% 1.96/2.14 end_of_list.
% 1.96/2.14
% 1.96/2.14 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.96/2.14
% 1.96/2.14 This is a non-Horn set without equality. The strategy will
% 1.96/2.14 be ordered hyper_res, unit deletion, and factoring, with
% 1.96/2.14 satellites in sos and with nuclei in usable.
% 1.96/2.14
% 1.96/2.14 dependent: set(hyper_res).
% 1.96/2.14 dependent: set(factor).
% 1.96/2.14 dependent: set(unit_deletion).
% 1.96/2.14
% 1.96/2.14 ------------> process usable:
% 1.96/2.14 ** KEPT (pick-wt=7): 1 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.96/2.14 ** KEPT (pick-wt=7): 2 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.96/2.14 ** KEPT (pick-wt=6): 3 [] -iext(uri_owl_disjointWith,A,B)|ic(A).
% 1.96/2.14 ** KEPT (pick-wt=6): 4 [] -iext(uri_owl_disjointWith,A,B)|ic(B).
% 1.96/2.14 ** KEPT (pick-wt=10): 5 [] -iext(uri_owl_disjointWith,A,B)| -icext(A,C)| -icext(B,C).
% 1.96/2.14 ** KEPT (pick-wt=13): 6 [] iext(uri_owl_disjointWith,A,B)| -ic(A)| -ic(B)|icext(A,$f1(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=13): 7 [] iext(uri_owl_disjointWith,A,B)| -ic(A)| -ic(B)|icext(B,$f1(A,B)).
% 1.96/2.14
% 1.96/2.14 ------------> process sos:
% 1.96/2.14 ** KEPT (pick-wt=4): 10 [] iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty).
% 1.96/2.14 ** KEPT (pick-wt=4): 11 [] iext(uri_rdf_type,uri_ex_x,uri_owl_Class).
% 1.96/2.14 ** KEPT (pick-wt=4): 12 [] iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty).
% 1.96/2.14
% 1.96/2.14 ======= end of input processing =======
% 1.96/2.14
% 1.96/2.14 =========== start of search ===========
% 1.96/2.14
% 1.96/2.14 -------- PROOF --------
% 1.96/2.14
% 1.96/2.14 -----> EMPTY CLAUSE at 0.00 sec ----> 21 [hyper,20,5,10,19] $F.
% 1.96/2.14
% 1.96/2.14 Length of proof is 2. Level of proof is 1.
% 1.96/2.14
% 1.96/2.14 ---------------- PROOF ----------------
% 1.96/2.14 % SZS status Theorem
% 1.96/2.14 % SZS output start Refutation
% See solution above
% 1.96/2.14 ------------ end of proof -------------
% 1.96/2.14
% 1.96/2.14
% 1.96/2.14 Search stopped by max_proofs option.
% 1.96/2.14
% 1.96/2.14
% 1.96/2.14 Search stopped by max_proofs option.
% 1.96/2.14
% 1.96/2.14 ============ end of search ============
% 1.96/2.14
% 1.96/2.14 -------------- statistics -------------
% 1.96/2.14 clauses given 7
% 1.96/2.14 clauses generated 23
% 1.96/2.14 clauses kept 20
% 1.96/2.14 clauses forward subsumed 12
% 1.96/2.14 clauses back subsumed 0
% 1.96/2.14 Kbytes malloced 976
% 1.96/2.14
% 1.96/2.14 ----------- times (seconds) -----------
% 1.96/2.14 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.14 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.14 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.96/2.14
% 1.96/2.14 That finishes the proof of the theorem.
% 1.96/2.14
% 1.96/2.14 Process 17425 finished Wed Jul 27 02:27:27 2022
% 1.96/2.14 Otter interrupted
% 1.96/2.14 PROOF FOUND
%------------------------------------------------------------------------------