TSTP Solution File: SWB026+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:17:48 EDT 2022
% Result : Theorem 1.82s 2.05s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 28 ( 19 unt; 4 nHn; 27 RR)
% Number of literals : 44 ( 5 equ; 13 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-1 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_rdf_type,A,uri_rdf_Property)
| ip(A) ),
file('SWB026+2.p',unknown),
[] ).
cnf(4,axiom,
( iext(uri_rdf_type,A,B)
| ~ icext(B,A) ),
file('SWB026+2.p',unknown),
[] ).
cnf(5,axiom,
( ~ iext(uri_rdfs_domain,A,B)
| ~ iext(A,C,D)
| icext(B,C) ),
file('SWB026+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ iext(uri_rdf_first,A,B)
| ~ iext(uri_rdf_rest,A,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,C,A)
| ~ icext(C,D)
| D = B ),
file('SWB026+2.p',unknown),
[] ).
cnf(13,axiom,
( icext(uri_owl_InverseFunctionalProperty,A)
| ~ ip(A)
| iext(A,dollar_f4(A),dollar_f2(A)) ),
file('SWB026+2.p',unknown),
[] ).
cnf(14,axiom,
( icext(uri_owl_InverseFunctionalProperty,A)
| ~ ip(A)
| iext(A,dollar_f3(A),dollar_f2(A)) ),
file('SWB026+2.p',unknown),
[] ).
cnf(15,axiom,
( icext(uri_owl_InverseFunctionalProperty,A)
| ~ ip(A)
| dollar_f4(A) != dollar_f3(A) ),
file('SWB026+2.p',unknown),
[] ).
cnf(16,axiom,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('SWB026+2.p',unknown),
[] ).
cnf(19,axiom,
A = A,
file('SWB026+2.p',unknown),
[] ).
cnf(20,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('SWB026+2.p',unknown),
[] ).
cnf(21,axiom,
iext(uri_rdfs_domain,uri_ex_p,dollar_c4),
file('SWB026+2.p',unknown),
[] ).
cnf(22,axiom,
iext(uri_owl_oneOf,dollar_c4,dollar_c2),
file('SWB026+2.p',unknown),
[] ).
cnf(23,axiom,
iext(uri_rdf_first,dollar_c2,uri_ex_w),
file('SWB026+2.p',unknown),
[] ).
cnf(24,axiom,
iext(uri_rdf_rest,dollar_c2,uri_rdf_nil),
file('SWB026+2.p',unknown),
[] ).
cnf(41,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(hyper,[status(thm)],[21,5,20]),
[iquote('hyper,21,5,20')] ).
cnf(48,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(hyper,[status(thm)],[41,4]),
[iquote('hyper,41,4')] ).
cnf(171,plain,
ip(uri_ex_p),
inference(hyper,[status(thm)],[48,1]),
[iquote('hyper,48,1')] ).
cnf(310,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,dollar_f3(uri_ex_p),dollar_f2(uri_ex_p)) ),
inference(hyper,[status(thm)],[171,14]),
[iquote('hyper,171,14')] ).
cnf(311,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,dollar_f4(uri_ex_p),dollar_f2(uri_ex_p)) ),
inference(hyper,[status(thm)],[171,13]),
[iquote('hyper,171,13')] ).
cnf(389,plain,
iext(uri_ex_p,dollar_f3(uri_ex_p),dollar_f2(uri_ex_p)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[310,4]),16]),
[iquote('hyper,310,4,unit_del,16')] ).
cnf(390,plain,
icext(dollar_c4,dollar_f3(uri_ex_p)),
inference(hyper,[status(thm)],[389,5,21]),
[iquote('hyper,389,5,21')] ).
cnf(402,plain,
dollar_f3(uri_ex_p) = uri_ex_w,
inference(hyper,[status(thm)],[390,7,23,24,22]),
[iquote('hyper,390,7,23,24,22')] ).
cnf(535,plain,
iext(uri_ex_p,dollar_f4(uri_ex_p),dollar_f2(uri_ex_p)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[311,4]),16]),
[iquote('hyper,311,4,unit_del,16')] ).
cnf(536,plain,
icext(dollar_c4,dollar_f4(uri_ex_p)),
inference(hyper,[status(thm)],[535,5,21]),
[iquote('hyper,535,5,21')] ).
cnf(566,plain,
dollar_f4(uri_ex_p) = uri_ex_w,
inference(hyper,[status(thm)],[536,7,23,24,22]),
[iquote('hyper,536,7,23,24,22')] ).
cnf(570,plain,
icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[566,15]),402]),171,19]),
[iquote('para_from,566.1.1,15.3.1,demod,402,unit_del,171,19')] ).
cnf(571,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(hyper,[status(thm)],[570,4]),
[iquote('hyper,570,4')] ).
cnf(572,plain,
$false,
inference(binary,[status(thm)],[571,16]),
[iquote('binary,571.1,16.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.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 02:33:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.70/1.89 ----- Otter 3.3f, August 2004 -----
% 1.70/1.89 The process was started by sandbox2 on n019.cluster.edu,
% 1.70/1.89 Wed Jul 27 02:33:22 2022
% 1.70/1.89 The command was "./otter". The process ID is 7071.
% 1.70/1.89
% 1.70/1.89 set(prolog_style_variables).
% 1.70/1.89 set(auto).
% 1.70/1.89 dependent: set(auto1).
% 1.70/1.89 dependent: set(process_input).
% 1.70/1.89 dependent: clear(print_kept).
% 1.70/1.89 dependent: clear(print_new_demod).
% 1.70/1.89 dependent: clear(print_back_demod).
% 1.70/1.89 dependent: clear(print_back_sub).
% 1.70/1.89 dependent: set(control_memory).
% 1.70/1.89 dependent: assign(max_mem, 12000).
% 1.70/1.89 dependent: assign(pick_given_ratio, 4).
% 1.70/1.89 dependent: assign(stats_level, 1).
% 1.70/1.89 dependent: assign(max_seconds, 10800).
% 1.70/1.89 clear(print_given).
% 1.70/1.89
% 1.70/1.89 formula_list(usable).
% 1.70/1.89 all A (A=A).
% 1.70/1.89 all P (iext(uri_rdf_type,P,uri_rdf_Property)<->ip(P)).
% 1.70/1.89 all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.70/1.89 all P C X Y (iext(uri_rdfs_domain,P,C)&iext(P,X,Y)->icext(C,X)).
% 1.70/1.89 iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 1.70/1.89 all Z S1 A1 (iext(uri_rdf_first,S1,A1)&iext(uri_rdf_rest,S1,uri_rdf_nil)-> (iext(uri_owl_oneOf,Z,S1)<->ic(Z)& (all X (icext(Z,X)<->X=A1)))).
% 1.70/1.89 all P (icext(uri_owl_InverseFunctionalProperty,P)<->ip(P)& (all X1 X2 Y (iext(P,X1,Y)&iext(P,X2,Y)->X1=X2))).
% 1.70/1.89 -iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty).
% 1.70/1.89 exists BNODE_x1 BNODE_x2 BNODE_l1 BNODE_l2 (iext(uri_rdfs_domain,uri_ex_p,BNODE_x1)&iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)&iext(uri_rdf_first,BNODE_l1,uri_ex_w)&iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)&iext(uri_rdfs_range,uri_ex_p,BNODE_x2)&iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)&iext(uri_rdf_first,BNODE_l2,uri_ex_u)&iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)).
% 1.70/1.89 end_of_list.
% 1.70/1.89
% 1.70/1.89 -------> usable clausifies to:
% 1.70/1.89
% 1.70/1.89 list(usable).
% 1.70/1.89 0 [] A=A.
% 1.70/1.89 0 [] -iext(uri_rdf_type,P,uri_rdf_Property)|ip(P).
% 1.70/1.89 0 [] iext(uri_rdf_type,P,uri_rdf_Property)| -ip(P).
% 1.70/1.89 0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.70/1.89 0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.70/1.89 0 [] -iext(uri_rdfs_domain,P,C)| -iext(P,X,Y)|icext(C,X).
% 1.70/1.89 0 [] iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 1.70/1.89 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)| -iext(uri_owl_oneOf,Z,S1)|ic(Z).
% 1.70/1.89 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)| -iext(uri_owl_oneOf,Z,S1)| -icext(Z,X)|X=A1.
% 1.70/1.89 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)| -iext(uri_owl_oneOf,Z,S1)|icext(Z,X)|X!=A1.
% 1.70/1.89 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)|iext(uri_owl_oneOf,Z,S1)| -ic(Z)|icext(Z,$f1(Z,S1,A1))|$f1(Z,S1,A1)=A1.
% 1.70/1.89 0 [] -iext(uri_rdf_first,S1,A1)| -iext(uri_rdf_rest,S1,uri_rdf_nil)|iext(uri_owl_oneOf,Z,S1)| -ic(Z)| -icext(Z,$f1(Z,S1,A1))|$f1(Z,S1,A1)!=A1.
% 1.70/1.89 0 [] -icext(uri_owl_InverseFunctionalProperty,P)|ip(P).
% 1.70/1.89 0 [] -icext(uri_owl_InverseFunctionalProperty,P)| -iext(P,X1,Y)| -iext(P,X2,Y)|X1=X2.
% 1.70/1.89 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|iext(P,$f4(P),$f2(P)).
% 1.70/1.89 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|iext(P,$f3(P),$f2(P)).
% 1.70/1.89 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|$f4(P)!=$f3(P).
% 1.70/1.89 0 [] -iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty).
% 1.70/1.89 0 [] iext(uri_rdfs_domain,uri_ex_p,$c4).
% 1.70/1.89 0 [] iext(uri_owl_oneOf,$c4,$c2).
% 1.70/1.89 0 [] iext(uri_rdf_first,$c2,uri_ex_w).
% 1.70/1.89 0 [] iext(uri_rdf_rest,$c2,uri_rdf_nil).
% 1.70/1.89 0 [] iext(uri_rdfs_range,uri_ex_p,$c3).
% 1.70/1.89 0 [] iext(uri_owl_oneOf,$c3,$c1).
% 1.70/1.89 0 [] iext(uri_rdf_first,$c1,uri_ex_u).
% 1.70/1.89 0 [] iext(uri_rdf_rest,$c1,uri_rdf_nil).
% 1.70/1.89 end_of_list.
% 1.70/1.89
% 1.70/1.89 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.70/1.89
% 1.70/1.89 This ia a non-Horn set with equality. The strategy will be
% 1.70/1.89 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.70/1.89 deletion, with positive clauses in sos and nonpositive
% 1.70/1.89 clauses in usable.
% 1.70/1.89
% 1.70/1.89 dependent: set(knuth_bendix).
% 1.70/1.89 dependent: set(anl_eq).
% 1.70/1.89 dependent: set(para_from).
% 1.70/1.89 dependent: set(para_into).
% 1.70/1.89 dependent: clear(para_from_right).
% 1.70/1.89 dependent: clear(para_into_right).
% 1.70/1.89 dependent: set(para_from_vars).
% 1.70/1.89 dependent: set(eq_units_both_ways).
% 1.70/1.89 dependent: set(dynamic_demod_all).
% 1.70/1.89 dependent: set(dynamic_demod).
% 1.70/1.89 dependent: set(order_eq).
% 1.70/1.89 dependent: set(back_demod).
% 1.70/1.89 dependent: set(lrpo).
% 1.70/1.89 dependent: set(hyper_res).
% 1.70/1.89 dependent: set(unit_deletion).
% 1.70/1.89 dependent: set(factor).
% 1.70/1.89
% 1.70/1.89 ------------> process usable:
% 1.82/2.05 ** KEPT (pick-wt=6): 1 [] -iext(uri_rdf_type,A,uri_rdf_Property)|ip(A).
% 1.82/2.05 ** KEPT (pick-wt=6): 2 [] iext(uri_rdf_type,A,uri_rdf_Property)| -ip(A).
% 1.82/2.05 ** KEPT (pick-wt=7): 3 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.82/2.05 ** KEPT (pick-wt=7): 4 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.82/2.05 ** KEPT (pick-wt=11): 5 [] -iext(uri_rdfs_domain,A,B)| -iext(A,C,D)|icext(B,C).
% 1.82/2.05 ** KEPT (pick-wt=14): 6 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)| -iext(uri_owl_oneOf,C,A)|ic(C).
% 1.82/2.05 ** KEPT (pick-wt=18): 7 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)| -iext(uri_owl_oneOf,C,A)| -icext(C,D)|D=B.
% 1.82/2.05 ** KEPT (pick-wt=18): 8 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)| -iext(uri_owl_oneOf,C,A)|icext(C,D)|D!=B.
% 1.82/2.05 ** KEPT (pick-wt=26): 9 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)|iext(uri_owl_oneOf,C,A)| -ic(C)|icext(C,$f1(C,A,B))|$f1(C,A,B)=B.
% 1.82/2.05 ** KEPT (pick-wt=26): 10 [] -iext(uri_rdf_first,A,B)| -iext(uri_rdf_rest,A,uri_rdf_nil)|iext(uri_owl_oneOf,C,A)| -ic(C)| -icext(C,$f1(C,A,B))|$f1(C,A,B)!=B.
% 1.82/2.05 ** KEPT (pick-wt=5): 11 [] -icext(uri_owl_InverseFunctionalProperty,A)|ip(A).
% 1.82/2.05 ** KEPT (pick-wt=14): 12 [] -icext(uri_owl_InverseFunctionalProperty,A)| -iext(A,B,C)| -iext(A,D,C)|B=D.
% 1.82/2.05 ** KEPT (pick-wt=11): 13 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|iext(A,$f4(A),$f2(A)).
% 1.82/2.05 ** KEPT (pick-wt=11): 14 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|iext(A,$f3(A),$f2(A)).
% 1.82/2.05 ** KEPT (pick-wt=10): 15 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|$f4(A)!=$f3(A).
% 1.82/2.05 ** KEPT (pick-wt=4): 16 [] -iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty).
% 1.82/2.05
% 1.82/2.05 ------------> process sos:
% 1.82/2.05 ** KEPT (pick-wt=3): 19 [] A=A.
% 1.82/2.05 ** KEPT (pick-wt=4): 20 [] iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property).
% 1.82/2.05 ** KEPT (pick-wt=4): 21 [] iext(uri_rdfs_domain,uri_ex_p,$c4).
% 1.82/2.05 ** KEPT (pick-wt=4): 22 [] iext(uri_owl_oneOf,$c4,$c2).
% 1.82/2.05 ** KEPT (pick-wt=4): 23 [] iext(uri_rdf_first,$c2,uri_ex_w).
% 1.82/2.05 ** KEPT (pick-wt=4): 24 [] iext(uri_rdf_rest,$c2,uri_rdf_nil).
% 1.82/2.05 ** KEPT (pick-wt=4): 25 [] iext(uri_rdfs_range,uri_ex_p,$c3).
% 1.82/2.05 ** KEPT (pick-wt=4): 26 [] iext(uri_owl_oneOf,$c3,$c1).
% 1.82/2.05 ** KEPT (pick-wt=4): 27 [] iext(uri_rdf_first,$c1,uri_ex_u).
% 1.82/2.05 ** KEPT (pick-wt=4): 28 [] iext(uri_rdf_rest,$c1,uri_rdf_nil).
% 1.82/2.05 Following clause subsumed by 19 during input processing: 0 [copy,19,flip.1] A=A.
% 1.82/2.05 19 back subsumes 18.
% 1.82/2.05
% 1.82/2.05 ======= end of input processing =======
% 1.82/2.05
% 1.82/2.05 =========== start of search ===========
% 1.82/2.05
% 1.82/2.05 -------- PROOF --------
% 1.82/2.05
% 1.82/2.05 ----> UNIT CONFLICT at 0.16 sec ----> 572 [binary,571.1,16.1] $F.
% 1.82/2.05
% 1.82/2.05 Length of proof is 13. Level of proof is 9.
% 1.82/2.05
% 1.82/2.05 ---------------- PROOF ----------------
% 1.82/2.05 % SZS status Theorem
% 1.82/2.05 % SZS output start Refutation
% See solution above
% 1.82/2.05 ------------ end of proof -------------
% 1.82/2.05
% 1.82/2.05
% 1.82/2.05 Search stopped by max_proofs option.
% 1.82/2.05
% 1.82/2.05
% 1.82/2.05 Search stopped by max_proofs option.
% 1.82/2.05
% 1.82/2.05 ============ end of search ============
% 1.82/2.05
% 1.82/2.05 -------------- statistics -------------
% 1.82/2.05 clauses given 39
% 1.82/2.05 clauses generated 1117
% 1.82/2.05 clauses kept 569
% 1.82/2.05 clauses forward subsumed 595
% 1.82/2.05 clauses back subsumed 3
% 1.82/2.05 Kbytes malloced 1953
% 1.82/2.05
% 1.82/2.05 ----------- times (seconds) -----------
% 1.82/2.05 user CPU time 0.16 (0 hr, 0 min, 0 sec)
% 1.82/2.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.82/2.05 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.82/2.05
% 1.82/2.05 That finishes the proof of the theorem.
% 1.82/2.05
% 1.82/2.05 Process 7071 finished Wed Jul 27 02:33:23 2022
% 1.82/2.05 Otter interrupted
% 1.82/2.05 PROOF FOUND
%------------------------------------------------------------------------------