TSTP Solution File: SWB004+2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWB004+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 13:17:36 EDT 2022

% Result   : Theorem 1.97s 2.16s
% Output   : Refutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   39 (  14 unt;  13 nHn;  36 RR)
%            Number of literals    :   80 (   0 equ;  26 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   23 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( iext(uri_rdf_type,A,B)
    | ~ icext(B,A) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ idc(A)
    | ic(A) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ icext(uri_owl_Class,A)
    | ic(A) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(5,axiom,
    ( icext(uri_owl_Class,A)
    | ~ ic(A) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ icext(uri_rdfs_Class,A)
    | ic(A) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(7,axiom,
    ( icext(uri_rdfs_Class,A)
    | ~ ic(A) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ icext(uri_rdfs_Datatype,A)
    | idc(A) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(11,axiom,
    ( icext(uri_owl_Thing,A)
    | ~ ir(A) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ iext(uri_rdfs_subClassOf,A,B)
    | ~ icext(A,C)
    | icext(B,C) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(15,axiom,
    ( iext(uri_rdfs_subClassOf,A,B)
    | ~ ic(A)
    | ~ ic(B)
    | icext(A,dollar_f1(A,B)) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(16,axiom,
    ( iext(uri_rdfs_subClassOf,A,B)
    | ~ ic(A)
    | ~ ic(B)
    | ~ icext(B,dollar_f1(A,B)) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(21,axiom,
    ( iext(uri_owl_e_quivalentClass,A,B)
    | ~ ic(A)
    | ~ ic(B)
    | icext(A,dollar_f2(A,B))
    | icext(B,dollar_f2(A,B)) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(22,axiom,
    ( iext(uri_owl_e_quivalentClass,A,B)
    | ~ ic(A)
    | ~ ic(B)
    | ~ icext(A,dollar_f2(A,B))
    | ~ icext(B,dollar_f2(A,B)) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    file('SWB004+2.p',unknown),
    [] ).

cnf(28,axiom,
    ir(A),
    file('SWB004+2.p',unknown),
    [] ).

cnf(29,axiom,
    ic(uri_owl_Class),
    file('SWB004+2.p',unknown),
    [] ).

cnf(30,axiom,
    ic(uri_rdfs_Class),
    file('SWB004+2.p',unknown),
    [] ).

cnf(31,axiom,
    ic(uri_rdfs_Datatype),
    file('SWB004+2.p',unknown),
    [] ).

cnf(32,axiom,
    ic(uri_owl_Thing),
    file('SWB004+2.p',unknown),
    [] ).

cnf(33,plain,
    icext(uri_owl_Thing,A),
    inference(hyper,[status(thm)],[28,11]),
    [iquote('hyper,28,11')] ).

cnf(37,plain,
    icext(uri_owl_Class,uri_owl_Class),
    inference(hyper,[status(thm)],[29,5]),
    [iquote('hyper,29,5')] ).

cnf(40,plain,
    ( iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_owl_Class,dollar_f2(uri_owl_Class,uri_rdfs_Class))
    | icext(uri_rdfs_Class,dollar_f2(uri_owl_Class,uri_rdfs_Class)) ),
    inference(hyper,[status(thm)],[30,21,29]),
    [iquote('hyper,30,21,29')] ).

cnf(42,plain,
    ( iext(uri_rdfs_subClassOf,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_owl_Class,dollar_f1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(hyper,[status(thm)],[30,15,29]),
    [iquote('hyper,30,15,29')] ).

cnf(55,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | icext(uri_rdfs_Datatype,dollar_f1(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(hyper,[status(thm)],[31,15,29]),
    [iquote('hyper,31,15,29')] ).

cnf(67,plain,
    iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing),
    inference(hyper,[status(thm)],[33,16,29,32]),
    [iquote('hyper,33,16,29,32')] ).

cnf(68,plain,
    iext(uri_rdf_type,A,uri_owl_Thing),
    inference(hyper,[status(thm)],[33,2]),
    [iquote('hyper,33,2')] ).

cnf(70,plain,
    iext(uri_rdf_type,uri_owl_Class,uri_owl_Class),
    inference(hyper,[status(thm)],[37,2]),
    [iquote('hyper,37,2')] ).

cnf(83,plain,
    ( iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_owl_Class,dollar_f2(uri_owl_Class,uri_rdfs_Class))
    | ic(dollar_f2(uri_owl_Class,uri_rdfs_Class)) ),
    inference(hyper,[status(thm)],[40,6]),
    [iquote('hyper,40,6')] ).

cnf(89,plain,
    ( iext(uri_rdfs_subClassOf,uri_owl_Class,uri_rdfs_Class)
    | ic(dollar_f1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(hyper,[status(thm)],[42,4]),
    [iquote('hyper,42,4')] ).

cnf(106,plain,
    ( iext(uri_rdfs_subClassOf,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_rdfs_Class,dollar_f1(uri_owl_Class,uri_rdfs_Class)) ),
    inference(hyper,[status(thm)],[89,7]),
    [iquote('hyper,89,7')] ).

cnf(235,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | idc(dollar_f1(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(hyper,[status(thm)],[55,8]),
    [iquote('hyper,55,8')] ).

cnf(237,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ic(dollar_f1(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(hyper,[status(thm)],[235,3]),
    [iquote('hyper,235,3')] ).

cnf(274,plain,
    ( iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | icext(uri_owl_Class,dollar_f1(uri_rdfs_Datatype,uri_owl_Class)) ),
    inference(hyper,[status(thm)],[237,5]),
    [iquote('hyper,237,5')] ).

cnf(275,plain,
    iext(uri_rdfs_subClassOf,uri_owl_Class,uri_rdfs_Class),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[106,16,29,30])]),
    [iquote('hyper,106,16,29,30,factor_simp')] ).

cnf(283,plain,
    ( icext(uri_rdfs_Class,dollar_f2(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[275,14,40])]),
    [iquote('hyper,275,14,40,factor_simp')] ).

cnf(319,plain,
    ( iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class)
    | icext(uri_owl_Class,dollar_f2(uri_owl_Class,uri_rdfs_Class)) ),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[83,5])]),
    [iquote('hyper,83,5,factor_simp')] ).

cnf(355,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[274,16,31,29])]),
    [iquote('hyper,274,16,31,29,factor_simp')] ).

cnf(443,plain,
    iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[319,22,29,30,283])])]),
    [iquote('hyper,319,22,29,30,283,factor_simp,factor_simp')] ).

cnf(444,plain,
    $false,
    inference(hyper,[status(thm)],[443,23,68,70,67,355]),
    [iquote('hyper,443,23,68,70,67,355')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB004+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % 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 02:27:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.97/2.14  ----- Otter 3.3f, August 2004 -----
% 1.97/2.14  The process was started by sandbox2 on n011.cluster.edu,
% 1.97/2.14  Wed Jul 27 02:27:55 2022
% 1.97/2.14  The command was "./otter".  The process ID is 19263.
% 1.97/2.14  
% 1.97/2.14  set(prolog_style_variables).
% 1.97/2.14  set(auto).
% 1.97/2.14     dependent: set(auto1).
% 1.97/2.14     dependent: set(process_input).
% 1.97/2.14     dependent: clear(print_kept).
% 1.97/2.14     dependent: clear(print_new_demod).
% 1.97/2.14     dependent: clear(print_back_demod).
% 1.97/2.14     dependent: clear(print_back_sub).
% 1.97/2.14     dependent: set(control_memory).
% 1.97/2.14     dependent: assign(max_mem, 12000).
% 1.97/2.14     dependent: assign(pick_given_ratio, 4).
% 1.97/2.14     dependent: assign(stats_level, 1).
% 1.97/2.14     dependent: assign(max_seconds, 10800).
% 1.97/2.14  clear(print_given).
% 1.97/2.14  
% 1.97/2.14  formula_list(usable).
% 1.97/2.14  all X ir(X).
% 1.97/2.14  all X C (iext(uri_rdf_type,X,C)<->icext(C,X)).
% 1.97/2.14  all X (idc(X)->ic(X)).
% 1.97/2.14  ic(uri_owl_Class).
% 1.97/2.14  all X (icext(uri_owl_Class,X)<->ic(X)).
% 1.97/2.14  ic(uri_rdfs_Class).
% 1.97/2.14  all X (icext(uri_rdfs_Class,X)<->ic(X)).
% 1.97/2.14  ic(uri_rdfs_Datatype).
% 1.97/2.14  all X (icext(uri_rdfs_Datatype,X)<->idc(X)).
% 1.97/2.14  ic(uri_owl_Thing).
% 1.97/2.14  all X (icext(uri_owl_Thing,X)<->ir(X)).
% 1.97/2.14  all C1 C2 (iext(uri_rdfs_subClassOf,C1,C2)<->ic(C1)&ic(C2)& (all X (icext(C1,X)->icext(C2,X)))).
% 1.97/2.14  all C1 C2 (iext(uri_owl_e_quivalentClass,C1,C2)<->ic(C1)&ic(C2)& (all X (icext(C1,X)<->icext(C2,X)))).
% 1.97/2.14  -(iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)&iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)&iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)&iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class)&iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)).
% 1.97/2.14  end_of_list.
% 1.97/2.14  
% 1.97/2.14  -------> usable clausifies to:
% 1.97/2.14  
% 1.97/2.14  list(usable).
% 1.97/2.14  0 [] ir(X).
% 1.97/2.14  0 [] -iext(uri_rdf_type,X,C)|icext(C,X).
% 1.97/2.14  0 [] iext(uri_rdf_type,X,C)| -icext(C,X).
% 1.97/2.14  0 [] -idc(X)|ic(X).
% 1.97/2.14  0 [] ic(uri_owl_Class).
% 1.97/2.14  0 [] -icext(uri_owl_Class,X)|ic(X).
% 1.97/2.14  0 [] icext(uri_owl_Class,X)| -ic(X).
% 1.97/2.14  0 [] ic(uri_rdfs_Class).
% 1.97/2.14  0 [] -icext(uri_rdfs_Class,X)|ic(X).
% 1.97/2.14  0 [] icext(uri_rdfs_Class,X)| -ic(X).
% 1.97/2.14  0 [] ic(uri_rdfs_Datatype).
% 1.97/2.14  0 [] -icext(uri_rdfs_Datatype,X)|idc(X).
% 1.97/2.14  0 [] icext(uri_rdfs_Datatype,X)| -idc(X).
% 1.97/2.14  0 [] ic(uri_owl_Thing).
% 1.97/2.14  0 [] -icext(uri_owl_Thing,X)|ir(X).
% 1.97/2.14  0 [] icext(uri_owl_Thing,X)| -ir(X).
% 1.97/2.14  0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C1).
% 1.97/2.14  0 [] -iext(uri_rdfs_subClassOf,C1,C2)|ic(C2).
% 1.97/2.14  0 [] -iext(uri_rdfs_subClassOf,C1,C2)| -icext(C1,X)|icext(C2,X).
% 1.97/2.14  0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f1(C1,C2)).
% 1.97/2.14  0 [] iext(uri_rdfs_subClassOf,C1,C2)| -ic(C1)| -ic(C2)| -icext(C2,$f1(C1,C2)).
% 1.97/2.14  0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|ic(C1).
% 1.97/2.14  0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|ic(C2).
% 1.97/2.14  0 [] -iext(uri_owl_e_quivalentClass,C1,C2)| -icext(C1,X)|icext(C2,X).
% 1.97/2.14  0 [] -iext(uri_owl_e_quivalentClass,C1,C2)|icext(C1,X)| -icext(C2,X).
% 1.97/2.14  0 [] iext(uri_owl_e_quivalentClass,C1,C2)| -ic(C1)| -ic(C2)|icext(C1,$f2(C1,C2))|icext(C2,$f2(C1,C2)).
% 1.97/2.14  0 [] iext(uri_owl_e_quivalentClass,C1,C2)| -ic(C1)| -ic(C2)| -icext(C1,$f2(C1,C2))| -icext(C2,$f2(C1,C2)).
% 1.97/2.14  0 [] -iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)| -iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)| -iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)| -iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class)| -iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class).
% 1.97/2.14  end_of_list.
% 1.97/2.14  
% 1.97/2.14  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.97/2.14  
% 1.97/2.14  This is a non-Horn set without equality.  The strategy will
% 1.97/2.14  be ordered hyper_res, unit deletion, and factoring, with
% 1.97/2.14  satellites in sos and with nuclei in usable.
% 1.97/2.14  
% 1.97/2.14     dependent: set(hyper_res).
% 1.97/2.14     dependent: set(factor).
% 1.97/2.14     dependent: set(unit_deletion).
% 1.97/2.14  
% 1.97/2.14  ------------> process usable:
% 1.97/2.14  ** KEPT (pick-wt=7): 1 [] -iext(uri_rdf_type,A,B)|icext(B,A).
% 1.97/2.14  ** KEPT (pick-wt=7): 2 [] iext(uri_rdf_type,A,B)| -icext(B,A).
% 1.97/2.14  ** KEPT (pick-wt=4): 3 [] -idc(A)|ic(A).
% 1.97/2.14  ** KEPT (pick-wt=5): 4 [] -icext(uri_owl_Class,A)|ic(A).
% 1.97/2.14  ** KEPT (pick-wt=5): 5 [] icext(uri_owl_Class,A)| -ic(A).
% 1.97/2.14  ** KEPT (pick-wt=5): 6 [] -icext(uri_rdfs_Class,A)|ic(A).
% 1.97/2.14  ** KEPT (pick-wt=5): 7 [] icext(uri_rdfs_Class,A)| -ic(A).
% 1.97/2.14  ** KEPT (pick-wt=5): 8 [] -icext(uri_rdfs_Datatype,A)|idc(A).
% 1.97/2.14  ** KEPT (pick-wt=5): 9 [] icext(uri_rdfs_Datatype,A)| -idc(A).
% 1.97/2.14  ** KEPT (pick-wt=5): 10 [] -icext(uri_owl_Thing,A)|ir(A).
% 1.97/2.14  ** KEPT (pick-wt=5): 11 [] icext(uri_owl_Thing,A)| -ir(A).
% 1.97/2.14  ** KEPT (pick-wt=6): 12 [] -iext(uri_rdfs_subClassOf,A,B)|ic(A).
% 1.97/2.16  ** KEPT (pick-wt=6): 13 [] -iext(uri_rdfs_subClassOf,A,B)|ic(B).
% 1.97/2.16  ** KEPT (pick-wt=10): 14 [] -iext(uri_rdfs_subClassOf,A,B)| -icext(A,C)|icext(B,C).
% 1.97/2.16  ** KEPT (pick-wt=13): 15 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)|icext(A,$f1(A,B)).
% 1.97/2.16  ** KEPT (pick-wt=13): 16 [] iext(uri_rdfs_subClassOf,A,B)| -ic(A)| -ic(B)| -icext(B,$f1(A,B)).
% 1.97/2.16  ** KEPT (pick-wt=6): 17 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(A).
% 1.97/2.16  ** KEPT (pick-wt=6): 18 [] -iext(uri_owl_e_quivalentClass,A,B)|ic(B).
% 1.97/2.16  ** KEPT (pick-wt=10): 19 [] -iext(uri_owl_e_quivalentClass,A,B)| -icext(A,C)|icext(B,C).
% 1.97/2.16  ** KEPT (pick-wt=10): 20 [] -iext(uri_owl_e_quivalentClass,A,B)|icext(A,C)| -icext(B,C).
% 1.97/2.16  ** KEPT (pick-wt=18): 21 [] iext(uri_owl_e_quivalentClass,A,B)| -ic(A)| -ic(B)|icext(A,$f2(A,B))|icext(B,$f2(A,B)).
% 1.97/2.16  ** KEPT (pick-wt=18): 22 [] iext(uri_owl_e_quivalentClass,A,B)| -ic(A)| -ic(B)| -icext(A,$f2(A,B))| -icext(B,$f2(A,B)).
% 1.97/2.16  ** KEPT (pick-wt=20): 23 [] -iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)| -iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)| -iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)| -iext(uri_owl_e_quivalentClass,uri_owl_Class,uri_rdfs_Class)| -iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class).
% 1.97/2.16  
% 1.97/2.16  ------------> process sos:
% 1.97/2.16  ** KEPT (pick-wt=2): 28 [] ir(A).
% 1.97/2.16  ** KEPT (pick-wt=2): 29 [] ic(uri_owl_Class).
% 1.97/2.16  ** KEPT (pick-wt=2): 30 [] ic(uri_rdfs_Class).
% 1.97/2.16  ** KEPT (pick-wt=2): 31 [] ic(uri_rdfs_Datatype).
% 1.97/2.16  ** KEPT (pick-wt=2): 32 [] ic(uri_owl_Thing).
% 1.97/2.16  28 back subsumes 10.
% 1.97/2.16  
% 1.97/2.16  ======= end of input processing =======
% 1.97/2.16  
% 1.97/2.16  =========== start of search ===========
% 1.97/2.16  
% 1.97/2.16  -------- PROOF -------- 
% 1.97/2.16  
% 1.97/2.16  -----> EMPTY CLAUSE at   0.02 sec ----> 444 [hyper,443,23,68,70,67,355] $F.
% 1.97/2.16  
% 1.97/2.16  Length of proof is 19.  Level of proof is 6.
% 1.97/2.16  
% 1.97/2.16  ---------------- PROOF ----------------
% 1.97/2.16  % SZS status Theorem
% 1.97/2.16  % SZS output start Refutation
% See solution above
% 1.97/2.16  ------------ end of proof -------------
% 1.97/2.16  
% 1.97/2.16  
% 1.97/2.16  Search stopped by max_proofs option.
% 1.97/2.16  
% 1.97/2.16  
% 1.97/2.16  Search stopped by max_proofs option.
% 1.97/2.16  
% 1.97/2.16  ============ end of search ============
% 1.97/2.16  
% 1.97/2.16  -------------- statistics -------------
% 1.97/2.16  clauses given                 80
% 1.97/2.16  clauses generated            816
% 1.97/2.16  clauses kept                 443
% 1.97/2.16  clauses forward subsumed     400
% 1.97/2.16  clauses back subsumed        265
% 1.97/2.16  Kbytes malloced              976
% 1.97/2.16  
% 1.97/2.16  ----------- times (seconds) -----------
% 1.97/2.16  user CPU time          0.02          (0 hr, 0 min, 0 sec)
% 1.97/2.16  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.97/2.16  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.97/2.16  
% 1.97/2.16  That finishes the proof of the theorem.
% 1.97/2.16  
% 1.97/2.16  Process 19263 finished Wed Jul 27 02:27:57 2022
% 1.97/2.16  Otter interrupted
% 1.97/2.16  PROOF FOUND
%------------------------------------------------------------------------------