TSTP Solution File: SWB032+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:17:51 EDT 2022
% Result : Theorem 1.75s 1.91s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 9 unt; 10 nHn; 27 RR)
% Number of literals : 53 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ icext(uri_rdf_PlainLiteral,A)
| ~ icext(uri_owl_real,A) ),
file('SWB032+2.p',unknown),
[] ).
cnf(2,axiom,
( ~ icext(uri_xsd_string,A)
| icext(uri_rdf_PlainLiteral,A) ),
file('SWB032+2.p',unknown),
[] ).
cnf(3,axiom,
( ~ icext(uri_owl_rational,A)
| icext(uri_owl_real,A) ),
file('SWB032+2.p',unknown),
[] ).
cnf(4,axiom,
( ~ icext(uri_xsd_decimal,A)
| icext(uri_owl_rational,A) ),
file('SWB032+2.p',unknown),
[] ).
cnf(5,axiom,
( ~ icext(uri_xsd_integer,A)
| icext(uri_xsd_decimal,A) ),
file('SWB032+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ idc(A)
| ic(A) ),
file('SWB032+2.p',unknown),
[] ).
cnf(10,axiom,
( iext(uri_rdfs_subClassOf,A,B)
| ~ ic(A)
| ~ ic(B)
| icext(A,dollar_f1(A,B)) ),
file('SWB032+2.p',unknown),
[] ).
cnf(11,axiom,
( iext(uri_rdfs_subClassOf,A,B)
| ~ ic(A)
| ~ ic(B)
| ~ icext(B,dollar_f1(A,B)) ),
file('SWB032+2.p',unknown),
[] ).
cnf(15,axiom,
( iext(uri_owl_disjointWith,A,B)
| ~ ic(A)
| ~ ic(B)
| icext(A,dollar_f2(A,B)) ),
file('SWB032+2.p',unknown),
[] ).
cnf(16,axiom,
( iext(uri_owl_disjointWith,A,B)
| ~ ic(A)
| ~ ic(B)
| icext(B,dollar_f2(A,B)) ),
file('SWB032+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
file('SWB032+2.p',unknown),
[] ).
cnf(22,axiom,
idc(uri_xsd_string),
file('SWB032+2.p',unknown),
[] ).
cnf(23,axiom,
idc(uri_xsd_decimal),
file('SWB032+2.p',unknown),
[] ).
cnf(24,axiom,
idc(uri_xsd_integer),
file('SWB032+2.p',unknown),
[] ).
cnf(25,plain,
ic(uri_xsd_string),
inference(hyper,[status(thm)],[22,6]),
[iquote('hyper,22,6')] ).
cnf(26,plain,
ic(uri_xsd_decimal),
inference(hyper,[status(thm)],[23,6]),
[iquote('hyper,23,6')] ).
cnf(27,plain,
ic(uri_xsd_integer),
inference(hyper,[status(thm)],[24,6]),
[iquote('hyper,24,6')] ).
cnf(33,plain,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| icext(uri_xsd_string,dollar_f2(uri_xsd_decimal,uri_xsd_string)) ),
inference(hyper,[status(thm)],[26,16,25]),
[iquote('hyper,26,16,25')] ).
cnf(35,plain,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| icext(uri_xsd_decimal,dollar_f2(uri_xsd_decimal,uri_xsd_string)) ),
inference(hyper,[status(thm)],[26,15,25]),
[iquote('hyper,26,15,25')] ).
cnf(50,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| icext(uri_xsd_integer,dollar_f1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(hyper,[status(thm)],[27,10,26]),
[iquote('hyper,27,10,26')] ).
cnf(57,plain,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| icext(uri_rdf_PlainLiteral,dollar_f2(uri_xsd_decimal,uri_xsd_string)) ),
inference(hyper,[status(thm)],[33,2]),
[iquote('hyper,33,2')] ).
cnf(59,plain,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| icext(uri_owl_rational,dollar_f2(uri_xsd_decimal,uri_xsd_string)) ),
inference(hyper,[status(thm)],[35,4]),
[iquote('hyper,35,4')] ).
cnf(72,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| icext(uri_xsd_decimal,dollar_f1(uri_xsd_integer,uri_xsd_decimal)) ),
inference(hyper,[status(thm)],[50,5]),
[iquote('hyper,50,5')] ).
cnf(76,plain,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| icext(uri_owl_real,dollar_f2(uri_xsd_decimal,uri_xsd_string)) ),
inference(hyper,[status(thm)],[59,3]),
[iquote('hyper,59,3')] ).
cnf(84,plain,
iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[72,11,27,26])]),
[iquote('hyper,72,11,27,26,factor_simp')] ).
cnf(87,plain,
iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[76,1,57])]),
[iquote('hyper,76,1,57,factor_simp')] ).
cnf(90,plain,
$false,
inference(hyper,[status(thm)],[87,17,84]),
[iquote('hyper,87,17,84')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n029.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 02:39:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.69/1.91 ----- Otter 3.3f, August 2004 -----
% 1.69/1.91 The process was started by sandbox2 on n029.cluster.edu,
% 1.69/1.91 Wed Jul 27 02:39:29 2022
% 1.69/1.91 The command was "./otter". The process ID is 23390.
% 1.69/1.91
% 1.69/1.91 set(prolog_style_variables).
% 1.69/1.91 set(auto).
% 1.69/1.91 dependent: set(auto1).
% 1.69/1.91 dependent: set(process_input).
% 1.69/1.91 dependent: clear(print_kept).
% 1.69/1.91 dependent: clear(print_new_demod).
% 1.69/1.91 dependent: clear(print_back_demod).
% 1.69/1.91 dependent: clear(print_back_sub).
% 1.69/1.91 dependent: set(control_memory).
% 1.69/1.91 dependent: assign(max_mem, 12000).
% 1.69/1.91 dependent: assign(pick_given_ratio, 4).
% 1.69/1.91 dependent: assign(stats_level, 1).
% 1.69/1.91 dependent: assign(max_seconds, 10800).
% 1.69/1.91 clear(print_given).
% 1.69/1.91
% 1.69/1.91 formula_list(usable).
% 1.69/1.91 idc(uri_xsd_string).
% 1.69/1.91 idc(uri_xsd_decimal).
% 1.69/1.91 idc(uri_xsd_integer).
% 1.69/1.91 all X (-(icext(uri_rdf_PlainLiteral,X)&icext(uri_owl_real,X))).
% 1.69/1.91 all X (icext(uri_xsd_string,X)->icext(uri_rdf_PlainLiteral,X)).
% 1.69/1.91 all X (icext(uri_owl_rational,X)->icext(uri_owl_real,X)).
% 1.69/1.91 all X (icext(uri_xsd_decimal,X)->icext(uri_owl_rational,X)).
% 1.69/1.91 all X (icext(uri_xsd_integer,X)->icext(uri_xsd_decimal,X)).
% 1.69/1.91 all X (idc(X)->ic(X)).
% 1.69/1.91 all C1 C2 (iext(uri_rdfs_subClassOf,C1,C2)<->ic(C1)&ic(C2)& (all X (icext(C1,X)->icext(C2,X)))).
% 1.69/1.91 all C1 C2 (iext(uri_owl_disjointWith,C1,C2)<->ic(C1)&ic(C2)& (all X (-(icext(C1,X)&icext(C2,X))))).
% 1.69/1.91 -(iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)&iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)).
% 1.69/1.91 end_of_list.
% 1.69/1.91
% 1.69/1.91 -------> usable clausifies to:
% 1.69/1.91
% 1.69/1.91 list(usable).
% 1.69/1.91 0 [] idc(uri_xsd_string).
% 1.69/1.91 0 [] idc(uri_xsd_decimal).
% 1.69/1.91 0 [] idc(uri_xsd_integer).
% 1.69/1.91 0 [] -icext(uri_rdf_PlainLiteral,X)| -icext(uri_owl_real,X).
% 1.69/1.91 0 [] -icext(uri_xsd_string,X)|icext(uri_rdf_PlainLiteral,X).
% 1.69/1.91 0 [] -icext(uri_owl_rational,X)|icext(uri_owl_real,X).
% 1.69/1.91 0 [] -icext(uri_xsd_decimal,X)|icext(uri_owl_rational,X).
% 1.69/1.91 0 [] -icext(uri_xsd_integer,X)|icext(uri_xsd_decimal,X).
% 1.69/1.91 0 [] -idc(X)|ic(X).
% 1.69/1.91 0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C1).
% 1.69/1.91 0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C2).
% 1.69/1.91 0 [] -iext(uri_rdfs_subClassOf,C1,C2)| -icext(C1,X)|icext(C2,X).
% 1.69/1.91 0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f1(C1,C2)).
% 1.69/1.91 0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)| -icext(C2,$f1(C1,C2)).
% 1.69/1.91 0 [] -iext(uri_owl_disjointWith,C1,C2)|ic(C1).
% 1.69/1.91 0 [] -iext(uri_owl_disjointWith,C1,C2)|ic(C2).
% 1.69/1.91 0 [] -iext(uri_owl_disjointWith,C1,C2)| -icext(C1,X)| -icext(C2,X).
% 1.69/1.91 0 [] iext(uri_owl_disjointWith,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f2(C1,C2)).
% 1.69/1.91 0 [] iext(uri_owl_disjointWith,C1,C2)| -ic(C1)| -ic(C2)|icext(C2,$f2(C1,C2)).
% 1.69/1.91 0 [] -iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)| -iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal).
% 1.69/1.91 end_of_list.
% 1.69/1.91
% 1.69/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.69/1.91
% 1.69/1.91 This is a non-Horn set without equality. The strategy will
% 1.69/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.69/1.91 satellites in sos and with nuclei in usable.
% 1.69/1.91
% 1.69/1.91 dependent: set(hyper_res).
% 1.69/1.91 dependent: set(factor).
% 1.69/1.91 dependent: set(unit_deletion).
% 1.69/1.91
% 1.69/1.91 ------------> process usable:
% 1.69/1.91 ** KEPT (pick-wt=6): 1 [] -icext(uri_rdf_PlainLiteral,A)| -icext(uri_owl_real,A).
% 1.69/1.91 ** KEPT (pick-wt=6): 2 [] -icext(uri_xsd_string,A)|icext(uri_rdf_PlainLiteral,A).
% 1.75/1.91 ** KEPT (pick-wt=6): 3 [] -icext(uri_owl_rational,A)|icext(uri_owl_real,A).
% 1.75/1.91 ** KEPT (pick-wt=6): 4 [] -icext(uri_xsd_decimal,A)|icext(uri_owl_rational,A).
% 1.75/1.91 ** KEPT (pick-wt=6): 5 [] -icext(uri_xsd_integer,A)|icext(uri_xsd_decimal,A).
% 1.75/1.91 ** KEPT (pick-wt=4): 6 [] -idc(A)|ic(A).
% 1.75/1.91 ** KEPT (pick-wt=6): 7 [] -iext(uri_rdfs_subClassOf,A,B)|ic(A).
% 1.75/1.91 ** KEPT (pick-wt=6): 8 [] -iext(uri_rdfs_subClassOf,A,B)|ic(B).
% 1.75/1.91 ** KEPT (pick-wt=10): 9 [] -iext(uri_rdfs_subClassOf,A,B)| -icext(A,C)|icext(B,C).
% 1.75/1.91 ** KEPT (pick-wt=13): 10 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)|icext(A,$f1(A,B)).
% 1.75/1.91 ** KEPT (pick-wt=13): 11 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)| -icext(B,$f1(A,B)).
% 1.75/1.91 ** KEPT (pick-wt=6): 12 [] -iext(uri_owl_disjointWith,A,B)|ic(A).
% 1.75/1.91 ** KEPT (pick-wt=6): 13 [] -iext(uri_owl_disjointWith,A,B)|ic(B).
% 1.75/1.91 ** KEPT (pick-wt=10): 14 [] -iext(uri_owl_disjointWith,A,B)| -icext(A,C)| -icext(B,C).
% 1.75/1.91 ** KEPT (pick-wt=13): 15 [] iext(uri_owl_disjointWith,A,B)| -ic(A)| -ic(B)|icext(A,$f2(A,B)).
% 1.75/1.91 ** KEPT (pick-wt=13): 16 [] iext(uri_owl_disjointWith,A,B)| -ic(A)| -ic(B)|icext(B,$f2(A,B)).
% 1.75/1.91 ** KEPT (pick-wt=8): 17 [] -iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)| -iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal).
% 1.75/1.91
% 1.75/1.91 ------------> process sos:
% 1.75/1.91 ** KEPT (pick-wt=2): 22 [] idc(uri_xsd_string).
% 1.75/1.91 ** KEPT (pick-wt=2): 23 [] idc(uri_xsd_decimal).
% 1.75/1.91 ** KEPT (pick-wt=2): 24 [] idc(uri_xsd_integer).
% 1.75/1.91
% 1.75/1.91 ======= end of input processing =======
% 1.75/1.91
% 1.75/1.91 =========== start of search ===========
% 1.75/1.91
% 1.75/1.91 -------- PROOF --------
% 1.75/1.91
% 1.75/1.91 -----> EMPTY CLAUSE at 0.00 sec ----> 90 [hyper,87,17,84] $F.
% 1.75/1.91
% 1.75/1.91 Length of proof is 12. Level of proof is 5.
% 1.75/1.91
% 1.75/1.91 ---------------- PROOF ----------------
% 1.75/1.91 % SZS status Theorem
% 1.75/1.91 % SZS output start Refutation
% See solution above
% 1.75/1.91 ------------ end of proof -------------
% 1.75/1.91
% 1.75/1.91
% 1.75/1.91 Search stopped by max_proofs option.
% 1.75/1.91
% 1.75/1.91
% 1.75/1.91 Search stopped by max_proofs option.
% 1.75/1.91
% 1.75/1.91 ============ end of search ============
% 1.75/1.91
% 1.75/1.91 -------------- statistics -------------
% 1.75/1.91 clauses given 58
% 1.75/1.91 clauses generated 140
% 1.75/1.91 clauses kept 89
% 1.75/1.91 clauses forward subsumed 70
% 1.75/1.91 clauses back subsumed 25
% 1.75/1.91 Kbytes malloced 976
% 1.75/1.91
% 1.75/1.91 ----------- times (seconds) -----------
% 1.75/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.91 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.75/1.91
% 1.75/1.91 That finishes the proof of the theorem.
% 1.75/1.91
% 1.75/1.91 Process 23390 finished Wed Jul 27 02:39:30 2022
% 1.75/1.91 Otter interrupted
% 1.75/1.91 PROOF FOUND
%------------------------------------------------------------------------------