TSTP Solution File: SWB028+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:17:49 EDT 2022
% Result : Theorem 5.36s 5.54s
% Output : Refutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 33 ( 19 unt; 5 nHn; 33 RR)
% Number of literals : 62 ( 3 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-4 aty)
% Number of variables : 30 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ iext(uri_owl_inverseOf,A,B)
| ip(A) ),
file('SWB028+2.p',unknown),
[] ).
cnf(3,axiom,
( ~ iext(uri_owl_e_quivalentClass,A,B)
| ic(A) ),
file('SWB028+2.p',unknown),
[] ).
cnf(6,axiom,
( ~ icext(uri_owl_FunctionalProperty,A)
| ~ iext(A,B,C)
| ~ iext(A,B,D)
| C = D ),
file('SWB028+2.p',unknown),
[] ).
cnf(12,axiom,
( icext(uri_owl_InverseFunctionalProperty,A)
| ~ ip(A)
| iext(A,dollar_f6(A),dollar_f4(A)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(13,axiom,
( icext(uri_owl_InverseFunctionalProperty,A)
| ~ ip(A)
| iext(A,dollar_f5(A),dollar_f4(A)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(14,axiom,
( icext(uri_owl_InverseFunctionalProperty,A)
| ~ ip(A)
| dollar_f6(A) != dollar_f5(A) ),
file('SWB028+2.p',unknown),
[] ).
cnf(18,axiom,
( iext(uri_rdfs_subClassOf,A,B)
| ~ ic(A)
| ~ ic(B)
| icext(A,dollar_f7(A,B)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(19,axiom,
( iext(uri_rdfs_subClassOf,A,B)
| ~ ic(A)
| ~ ic(B)
| ~ icext(B,dollar_f7(A,B)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(20,axiom,
( ~ iext(uri_owl_e_quivalentClass,A,B)
| ~ icext(A,C)
| icext(B,C) ),
file('SWB028+2.p',unknown),
[] ).
cnf(24,axiom,
( ~ iext(uri_owl_someValuesFrom,A,B)
| ~ iext(uri_owl_onProperty,A,C)
| ~ icext(A,D)
| iext(C,D,dollar_f9(A,C,B,D)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(25,axiom,
( ~ iext(uri_owl_someValuesFrom,A,B)
| ~ iext(uri_owl_onProperty,A,C)
| ~ icext(A,D)
| icext(B,dollar_f9(A,C,B,D)) ),
file('SWB028+2.p',unknown),
[] ).
cnf(27,axiom,
( ~ iext(uri_owl_inverseOf,A,B)
| ~ iext(A,C,D)
| iext(B,D,C) ),
file('SWB028+2.p',unknown),
[] ).
cnf(31,axiom,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('SWB028+2.p',unknown),
[] ).
cnf(45,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('SWB028+2.p',unknown),
[] ).
cnf(46,axiom,
iext(uri_owl_e_quivalentClass,uri_ex_InversesOfFunctionalProperties,dollar_c1),
file('SWB028+2.p',unknown),
[] ).
cnf(48,axiom,
iext(uri_owl_onProperty,dollar_c1,uri_owl_inverseOf),
file('SWB028+2.p',unknown),
[] ).
cnf(49,axiom,
iext(uri_owl_someValuesFrom,dollar_c1,uri_owl_FunctionalProperty),
file('SWB028+2.p',unknown),
[] ).
cnf(55,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(hyper,[status(thm)],[46,3]),
[iquote('hyper,46,3')] ).
cnf(78,plain,
icext(uri_ex_InversesOfFunctionalProperties,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[55,18,45]),31]),
[iquote('hyper,55,18,45,unit_del,31')] ).
cnf(99,plain,
icext(dollar_c1,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(hyper,[status(thm)],[78,20,46]),
[iquote('hyper,78,20,46')] ).
cnf(108,plain,
icext(uri_owl_FunctionalProperty,dollar_f9(dollar_c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(hyper,[status(thm)],[99,25,49,48]),
[iquote('hyper,99,25,49,48')] ).
cnf(109,plain,
iext(uri_owl_inverseOf,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),dollar_f9(dollar_c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(hyper,[status(thm)],[99,24,49,48]),
[iquote('hyper,99,24,49,48')] ).
cnf(507,plain,
ip(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(hyper,[status(thm)],[109,1]),
[iquote('hyper,109,1')] ).
cnf(536,plain,
( icext(uri_owl_InverseFunctionalProperty,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),dollar_f5(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),dollar_f4(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(hyper,[status(thm)],[507,13]),
[iquote('hyper,507,13')] ).
cnf(537,plain,
( icext(uri_owl_InverseFunctionalProperty,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),dollar_f6(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),dollar_f4(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(hyper,[status(thm)],[507,12]),
[iquote('hyper,507,12')] ).
cnf(2845,plain,
iext(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),dollar_f5(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),dollar_f4(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[536,19,55,45]),31]),
[iquote('hyper,536,19,55,45,unit_del,31')] ).
cnf(2846,plain,
iext(dollar_f9(dollar_c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),dollar_f4(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),dollar_f5(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(hyper,[status(thm)],[2845,27,109]),
[iquote('hyper,2845,27,109')] ).
cnf(2847,plain,
iext(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),dollar_f6(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),dollar_f4(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[537,19,55,45]),31]),
[iquote('hyper,537,19,55,45,unit_del,31')] ).
cnf(2848,plain,
iext(dollar_f9(dollar_c1,uri_owl_inverseOf,uri_owl_FunctionalProperty,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),dollar_f4(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),dollar_f6(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(hyper,[status(thm)],[2847,27,109]),
[iquote('hyper,2847,27,109')] ).
cnf(2849,plain,
dollar_f6(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = dollar_f5(dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[2848,6,108,2846])]),
[iquote('hyper,2848,6,108,2846,flip.1')] ).
cnf(2851,plain,
icext(uri_owl_InverseFunctionalProperty,dollar_f7(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(hyper,[status(thm)],[2849,14,507]),
[iquote('hyper,2849,14,507')] ).
cnf(2852,plain,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(hyper,[status(thm)],[2851,19,55,45]),
[iquote('hyper,2851,19,55,45')] ).
cnf(2853,plain,
$false,
inference(binary,[status(thm)],[2852,31]),
[iquote('binary,2852.1,31.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n016.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 02:52:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.76/1.95 ----- Otter 3.3f, August 2004 -----
% 1.76/1.95 The process was started by sandbox on n016.cluster.edu,
% 1.76/1.95 Wed Jul 27 02:52:07 2022
% 1.76/1.95 The command was "./otter". The process ID is 21587.
% 1.76/1.95
% 1.76/1.95 set(prolog_style_variables).
% 1.76/1.95 set(auto).
% 1.76/1.95 dependent: set(auto1).
% 1.76/1.95 dependent: set(process_input).
% 1.76/1.95 dependent: clear(print_kept).
% 1.76/1.95 dependent: clear(print_new_demod).
% 1.76/1.95 dependent: clear(print_back_demod).
% 1.76/1.95 dependent: clear(print_back_sub).
% 1.76/1.95 dependent: set(control_memory).
% 1.76/1.95 dependent: assign(max_mem, 12000).
% 1.76/1.95 dependent: assign(pick_given_ratio, 4).
% 1.76/1.95 dependent: assign(stats_level, 1).
% 1.76/1.95 dependent: assign(max_seconds, 10800).
% 1.76/1.95 clear(print_given).
% 1.76/1.95
% 1.76/1.95 formula_list(usable).
% 1.76/1.95 all A (A=A).
% 1.76/1.95 ic(uri_owl_InverseFunctionalProperty).
% 1.76/1.95 all X Y (iext(uri_owl_inverseOf,X,Y)->ip(X)&ip(Y)).
% 1.76/1.95 all X Y (iext(uri_owl_e_quivalentClass,X,Y)->ic(X)&ic(Y)).
% 1.76/1.95 all P (icext(uri_owl_FunctionalProperty,P)<->ip(P)& (all X Y1 Y2 (iext(P,X,Y1)&iext(P,X,Y2)->Y1=Y2))).
% 1.76/1.95 all P (icext(uri_owl_InverseFunctionalProperty,P)<->ip(P)& (all X1 X2 Y (iext(P,X1,Y)&iext(P,X2,Y)->X1=X2))).
% 1.76/1.95 all C1 C2 (iext(uri_rdfs_subClassOf,C1,C2)<->ic(C1)&ic(C2)& (all X (icext(C1,X)->icext(C2,X)))).
% 1.76/1.95 all C1 C2 (iext(uri_owl_e_quivalentClass,C1,C2)<->ic(C1)&ic(C2)& (all X (icext(C1,X)<->icext(C2,X)))).
% 1.76/1.95 all Z P C (iext(uri_owl_someValuesFrom,Z,C)&iext(uri_owl_onProperty,Z,P)-> (all X (icext(Z,X)<-> (exists Y (iext(P,X,Y)&icext(C,Y)))))).
% 1.76/1.95 all P1 P2 (iext(uri_owl_inverseOf,P1,P2)<->ip(P1)&ip(P2)& (all X Y (iext(P1,X,Y)<->iext(P2,Y,X)))).
% 1.76/1.95 -iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty).
% 1.76/1.95 exists BNODE_z (iext(uri_owl_e_quivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z)&iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)&iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf)&iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty)).
% 1.76/1.95 end_of_list.
% 1.76/1.95
% 1.76/1.95 -------> usable clausifies to:
% 1.76/1.95
% 1.76/1.95 list(usable).
% 1.76/1.95 0 [] A=A.
% 1.76/1.95 0 [] ic(uri_owl_InverseFunctionalProperty).
% 1.76/1.95 0 [] -iext(uri_owl_inverseOf,X,Y)|ip(X).
% 1.76/1.95 0 [] -iext(uri_owl_inverseOf,X,Y)|ip(Y).
% 1.76/1.95 0 [] -iext(uri_owl_e_quivalentClass,X,Y)|ic(X).
% 1.76/1.95 0 [] -iext(uri_owl_e_quivalentClass,X,Y)|ic(Y).
% 1.76/1.95 0 [] -icext(uri_owl_FunctionalProperty,P)|ip(P).
% 1.76/1.95 0 [] -icext(uri_owl_FunctionalProperty,P)| -iext(P,X,Y1)| -iext(P,X,Y2)|Y1=Y2.
% 1.76/1.95 0 [] icext(uri_owl_FunctionalProperty,P)| -ip(P)|iext(P,$f3(P),$f2(P)).
% 1.76/1.95 0 [] icext(uri_owl_FunctionalProperty,P)| -ip(P)|iext(P,$f3(P),$f1(P)).
% 1.76/1.95 0 [] icext(uri_owl_FunctionalProperty,P)| -ip(P)|$f2(P)!=$f1(P).
% 1.76/1.95 0 [] -icext(uri_owl_InverseFunctionalProperty,P)|ip(P).
% 1.76/1.95 0 [] -icext(uri_owl_InverseFunctionalProperty,P)| -iext(P,X1,Y)| -iext(P,X2,Y)|X1=X2.
% 1.76/1.95 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|iext(P,$f6(P),$f4(P)).
% 1.76/1.95 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|iext(P,$f5(P),$f4(P)).
% 1.76/1.95 0 [] icext(uri_owl_InverseFunctionalProperty,P)| -ip(P)|$f6(P)!=$f5(P).
% 1.76/1.95 0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C1).
% 1.76/1.95 0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C2).
% 1.76/1.95 0 [] -iext(uri_rdfs_subClassOf,C1,C2)| -icext(C1,X)|icext(C2,X).
% 1.76/1.95 0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f7(C1,C2)).
% 1.76/1.95 0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)| -icext(C2,$f7(C1,C2)).
% 1.76/1.95 0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|ic(C1).
% 1.76/1.95 0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|ic(C2).
% 1.76/1.95 0 [] -iext(uri_owl_e_quivalentClass,C1,C2)| -icext(C1,X)|icext(C2,X).
% 1.76/1.95 0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|icext(C1,X)| -icext(C2,X).
% 1.76/1.95 0 [] iext(uri_owl_e_quivalentClass,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f8(C1,C2))|icext(C2,$f8(C1,C2)).
% 1.76/1.95 0 [] iext(uri_owl_e_quivalentClass,C1,C2)| -ic(C1)| -ic(C2)| -icext(C1,$f8(C1,C2))| -icext(C2,$f8(C1,C2)).
% 1.76/1.95 0 [] -iext(uri_owl_someValuesFrom,Z,C)| -iext(uri_owl_onProperty,Z,P)| -icext(Z,X)|iext(P,X,$f9(Z,P,C,X)).
% 1.76/1.95 0 [] -iext(uri_owl_someValuesFrom,Z,C)| -iext(uri_owl_onProperty,Z,P)| -icext(Z,X)|icext(C,$f9(Z,P,C,X)).
% 1.76/1.95 0 [] -iext(uri_owl_someValuesFrom,Z,C)| -iext(uri_owl_onProperty,Z,P)|icext(Z,X)| -iext(P,X,Y)| -icext(C,Y).
% 1.76/1.95 0 [] -iext(uri_owl_inverseOf,P1,P2)|ip(P1).
% 1.76/1.95 0 [] -iext(uri_owl_inverseOf,P1,P2)|ip(P2).
% 1.76/1.95 0 [] -iext(uri_owl_inverseOf,P1,P2)| -iext(P1,X,Y)|iext(P2,Y,X).
% 1.76/1.95 0 [] -iext(uri_owl_inverseOf,P1,P2)|iext(P1,X,Y)| -iext(P2,Y,X).
% 1.76/1.95 0 [] iext(uri_owl_inverseOf,P1,P2)| -ip(P1)| -ip(P2)|iext(P1,$f11(P1,P2),$f10(P1,P2))|iext(P2,$f10(P1,P2),$f11(P1,P2)).
% 1.76/1.95 0 [] iext(uri_owl_inverseOf,P1,P2)| -ip(P1)| -ip(P2)| -iext(P1,$f11(P1,P2),$f10(P1,P2))| -iext(P2,$f10(P1,P2),$f11(P1,P2)).
% 1.76/1.95 0 [] -iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty).
% 1.76/1.95 0 [] iext(uri_owl_e_quivalentClass,uri_ex_InversesOfFunctionalProperties,$c1).
% 1.76/1.95 0 [] iext(uri_rdf_type,$c1,uri_owl_Restriction).
% 1.76/1.95 0 [] iext(uri_owl_onProperty,$c1,uri_owl_inverseOf).
% 1.76/1.95 0 [] iext(uri_owl_someValuesFrom,$c1,uri_owl_FunctionalProperty).
% 1.76/1.95 end_of_list.
% 1.76/1.95
% 1.76/1.95 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.76/1.95
% 1.76/1.95 This ia a non-Horn set with equality. The strategy will be
% 1.76/1.95 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.76/1.95 deletion, with positive clauses in sos and nonpositive
% 1.76/1.95 clauses in usable.
% 1.76/1.95
% 1.76/1.95 dependent: set(knuth_bendix).
% 1.76/1.95 dependent: set(anl_eq).
% 1.76/1.95 dependent: set(para_from).
% 1.76/1.95 dependent: set(para_into).
% 1.76/1.95 dependent: clear(para_from_right).
% 1.76/1.95 dependent: clear(para_into_right).
% 1.76/1.95 dependent: set(para_from_vars).
% 1.76/1.95 dependent: set(eq_units_both_ways).
% 1.76/1.95 dependent: set(dynamic_demod_all).
% 1.76/1.95 dependent: set(dynamic_demod).
% 1.76/1.95 dependent: set(order_eq).
% 1.76/1.95 dependent: set(back_demod).
% 1.76/1.95 dependent: set(lrpo).
% 1.76/1.95 dependent: set(hyper_res).
% 1.76/1.95 dependent: set(unit_deletion).
% 1.76/1.95 dependent: set(factor).
% 1.76/1.95
% 1.76/1.95 ------------> process usable:
% 1.76/1.95 ** KEPT (pick-wt=6): 1 [] -iext(uri_owl_inverseOf,A,B)|ip(A).
% 1.76/1.95 ** KEPT (pick-wt=6): 2 [] -iext(uri_owl_inverseOf,A,B)|ip(B).
% 1.76/1.95 ** KEPT (pick-wt=6): 3 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(A).
% 1.76/1.95 ** KEPT (pick-wt=6): 4 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(B).
% 1.76/1.95 ** KEPT (pick-wt=5): 5 [] -icext(uri_owl_FunctionalProperty,A)|ip(A).
% 1.76/1.95 ** KEPT (pick-wt=14): 6 [] -icext(uri_owl_FunctionalProperty,A)| -iext(A,B,C)| -iext(A,B,D)|C=D.
% 1.76/1.95 ** KEPT (pick-wt=11): 7 [] icext(uri_owl_FunctionalProperty,A)| -ip(A)|iext(A,$f3(A),$f2(A)).
% 1.76/1.95 ** KEPT (pick-wt=11): 8 [] icext(uri_owl_FunctionalProperty,A)| -ip(A)|iext(A,$f3(A),$f1(A)).
% 1.76/1.95 ** KEPT (pick-wt=10): 9 [] icext(uri_owl_FunctionalProperty,A)| -ip(A)|$f2(A)!=$f1(A).
% 1.76/1.95 ** KEPT (pick-wt=5): 10 [] -icext(uri_owl_InverseFunctionalProperty,A)|ip(A).
% 1.76/1.95 ** KEPT (pick-wt=14): 11 [] -icext(uri_owl_InverseFunctionalProperty,A)| -iext(A,B,C)| -iext(A,D,C)|B=D.
% 1.76/1.95 ** KEPT (pick-wt=11): 12 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|iext(A,$f6(A),$f4(A)).
% 1.76/1.95 ** KEPT (pick-wt=11): 13 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|iext(A,$f5(A),$f4(A)).
% 1.76/1.95 ** KEPT (pick-wt=10): 14 [] icext(uri_owl_InverseFunctionalProperty,A)| -ip(A)|$f6(A)!=$f5(A).
% 1.76/1.95 ** KEPT (pick-wt=6): 15 [] -iext(uri_rdfs_subClassOf,A,B)|ic(A).
% 1.76/1.95 ** KEPT (pick-wt=6): 16 [] -iext(uri_rdfs_subClassOf,A,B)|ic(B).
% 1.76/1.95 ** KEPT (pick-wt=10): 17 [] -iext(uri_rdfs_subClassOf,A,B)| -icext(A,C)|icext(B,C).
% 1.76/1.95 ** KEPT (pick-wt=13): 18 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)|icext(A,$f7(A,B)).
% 1.76/1.95 ** KEPT (pick-wt=13): 19 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)| -icext(B,$f7(A,B)).
% 1.76/1.95 Following clause subsumed by 3 during input processing: 0 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(A).
% 1.76/1.95 Following clause subsumed by 4 during input processing: 0 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(B).
% 1.76/1.95 ** KEPT (pick-wt=10): 20 [] -iext(uri_owl_e_quivalentClass,A,B)| -icext(A,C)|icext(B,C).
% 1.76/1.95 ** KEPT (pick-wt=10): 21 [] -iext(uri_owl_e_quivalentClass,A,B)|icext(A,C)| -icext(B,C).
% 1.76/1.95 ** KEPT (pick-wt=18): 22 [] iext(uri_owl_e_quivalentClass,A,B)| -ic(A)| -ic(B)|icext(A,$f8(A,B))|icext(B,$f8(A,B)).
% 1.76/1.95 ** KEPT (pick-wt=18): 23 [] iext(uri_owl_e_quivalentClass,A,B)| -ic(A)| -ic(B)| -icext(A,$f8(A,B))| -icext(B,$f8(A,B)).
% 1.76/1.95 ** KEPT (pick-wt=19): 24 [] -iext(uri_owl_someValuesFrom,A,B)| -iext(uri_owl_onProperty,A,C)| -icext(A,D)|iext(C,D,$f9(A,C,B,D)).
% 1.76/1.95 ** KEPT (pick-wt=18): 25 [] -iext(uri_owl_someValuesFrom,A,B)| -iext(uri_owl_onProperty,A,C)| -icext(A,D)|icext(B,$f9(A,C,B,D)).
% 1.76/1.95 ** KEPT (pick-wt=18): 26 [] -iext(uri_owl_someValuesFrom,A,B)| -iext(uri_owl_onProperty,A,C)|icext(A,D)| -iext(C,D,E)| -icext(B,E).
% 1.76/1.95 Following clause subsumed by 1 during input processing: 0 [] -iext(uri_owl_inverseOf,A,B)|ip(A).
% 5.36/5.54 Following clause subsumed by 2 during input processing: 0 [] -iext(uri_owl_inverseOf,A,B)|ip(B).
% 5.36/5.54 ** KEPT (pick-wt=12): 27 [] -iext(uri_owl_inverseOf,A,B)| -iext(A,C,D)|iext(B,D,C).
% 5.36/5.54 ** KEPT (pick-wt=12): 28 [] -iext(uri_owl_inverseOf,A,B)|iext(A,C,D)| -iext(B,D,C).
% 5.36/5.54 ** KEPT (pick-wt=24): 29 [] iext(uri_owl_inverseOf,A,B)| -ip(A)| -ip(B)|iext(A,$f11(A,B),$f10(A,B))|iext(B,$f10(A,B),$f11(A,B)).
% 5.36/5.54 ** KEPT (pick-wt=24): 30 [] iext(uri_owl_inverseOf,A,B)| -ip(A)| -ip(B)| -iext(A,$f11(A,B),$f10(A,B))| -iext(B,$f10(A,B),$f11(A,B)).
% 5.36/5.54 ** KEPT (pick-wt=4): 31 [] -iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty).
% 5.36/5.54
% 5.36/5.54 ------------> process sos:
% 5.36/5.54 ** KEPT (pick-wt=3): 44 [] A=A.
% 5.36/5.54 ** KEPT (pick-wt=2): 45 [] ic(uri_owl_InverseFunctionalProperty).
% 5.36/5.54 ** KEPT (pick-wt=4): 46 [] iext(uri_owl_e_quivalentClass,uri_ex_InversesOfFunctionalProperties,$c1).
% 5.36/5.54 ** KEPT (pick-wt=4): 47 [] iext(uri_rdf_type,$c1,uri_owl_Restriction).
% 5.36/5.54 ** KEPT (pick-wt=4): 48 [] iext(uri_owl_onProperty,$c1,uri_owl_inverseOf).
% 5.36/5.54 ** KEPT (pick-wt=4): 49 [] iext(uri_owl_someValuesFrom,$c1,uri_owl_FunctionalProperty).
% 5.36/5.54 Following clause subsumed by 44 during input processing: 0 [copy,44,flip.1] A=A.
% 5.36/5.54 44 back subsumes 33.
% 5.36/5.54 44 back subsumes 32.
% 5.36/5.54
% 5.36/5.54 ======= end of input processing =======
% 5.36/5.54
% 5.36/5.54 =========== start of search ===========
% 5.36/5.54
% 5.36/5.54
% 5.36/5.54 Resetting weight limit to 18.
% 5.36/5.54
% 5.36/5.54
% 5.36/5.54 Resetting weight limit to 18.
% 5.36/5.54
% 5.36/5.54 sos_size=2620
% 5.36/5.54
% 5.36/5.54 -------- PROOF --------
% 5.36/5.54
% 5.36/5.54 ----> UNIT CONFLICT at 3.59 sec ----> 2853 [binary,2852.1,31.1] $F.
% 5.36/5.54
% 5.36/5.54 Length of proof is 15. Level of proof is 11.
% 5.36/5.54
% 5.36/5.54 ---------------- PROOF ----------------
% 5.36/5.54 % SZS status Theorem
% 5.36/5.54 % SZS output start Refutation
% See solution above
% 5.36/5.54 ------------ end of proof -------------
% 5.36/5.54
% 5.36/5.54
% 5.36/5.54 Search stopped by max_proofs option.
% 5.36/5.54
% 5.36/5.54
% 5.36/5.54 Search stopped by max_proofs option.
% 5.36/5.54
% 5.36/5.54 ============ end of search ============
% 5.36/5.54
% 5.36/5.54 -------------- statistics -------------
% 5.36/5.54 clauses given 259
% 5.36/5.54 clauses generated 10639
% 5.36/5.54 clauses kept 2851
% 5.36/5.54 clauses forward subsumed 6467
% 5.36/5.54 clauses back subsumed 70
% 5.36/5.54 Kbytes malloced 4882
% 5.36/5.54
% 5.36/5.54 ----------- times (seconds) -----------
% 5.36/5.54 user CPU time 3.59 (0 hr, 0 min, 3 sec)
% 5.36/5.54 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 5.36/5.54 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 5.36/5.54
% 5.36/5.54 That finishes the proof of the theorem.
% 5.36/5.54
% 5.36/5.54 Process 21587 finished Wed Jul 27 02:52:12 2022
% 5.36/5.54 Otter interrupted
% 5.36/5.54 PROOF FOUND
%------------------------------------------------------------------------------