TSTP Solution File: SWB017+2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWB017+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 13:17:44 EDT 2022

% Result   : Theorem 1.75s 1.94s
% Output   : Refutation 1.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   2 nHn;   7 RR)
%            Number of literals    :   13 (   1 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ iext(uri_owl_propertyDisjointWith,A,B)
    | ~ iext(A,C,D)
    | ~ iext(B,C,D) ),
    file('SWB017+2.p',unknown),
    [] ).

cnf(7,axiom,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('SWB017+2.p',unknown),
    [] ).

cnf(14,axiom,
    ( iext(uri_owl_differentFrom,A,B)
    | A = B ),
    file('SWB017+2.p',unknown),
    [] ).

cnf(15,axiom,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    file('SWB017+2.p',unknown),
    [] ).

cnf(16,axiom,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    file('SWB017+2.p',unknown),
    [] ).

cnf(17,axiom,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    file('SWB017+2.p',unknown),
    [] ).

cnf(34,plain,
    ( iext(uri_rdf_type,A,uri_ex_c)
    | iext(uri_owl_differentFrom,uri_ex_w,A) ),
    inference(para_from,[status(thm),theory(equality)],[14,16]),
    [iquote('para_from,14.2.1,16.1.2')] ).

cnf(200,plain,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(hyper,[status(thm)],[34,4,15,17]),
    [iquote('hyper,34,4,15,17')] ).

cnf(201,plain,
    $false,
    inference(binary,[status(thm)],[200,7]),
    [iquote('binary,200.1,7.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWB017+2 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 02:34:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.75/1.94  ----- Otter 3.3f, August 2004 -----
% 1.75/1.94  The process was started by sandbox2 on n019.cluster.edu,
% 1.75/1.94  Wed Jul 27 02:34:07 2022
% 1.75/1.94  The command was "./otter".  The process ID is 12348.
% 1.75/1.94  
% 1.75/1.94  set(prolog_style_variables).
% 1.75/1.94  set(auto).
% 1.75/1.94     dependent: set(auto1).
% 1.75/1.94     dependent: set(process_input).
% 1.75/1.94     dependent: clear(print_kept).
% 1.75/1.94     dependent: clear(print_new_demod).
% 1.75/1.94     dependent: clear(print_back_demod).
% 1.75/1.94     dependent: clear(print_back_sub).
% 1.75/1.94     dependent: set(control_memory).
% 1.75/1.94     dependent: assign(max_mem, 12000).
% 1.75/1.94     dependent: assign(pick_given_ratio, 4).
% 1.75/1.94     dependent: assign(stats_level, 1).
% 1.75/1.94     dependent: assign(max_seconds, 10800).
% 1.75/1.94  clear(print_given).
% 1.75/1.94  
% 1.75/1.94  formula_list(usable).
% 1.75/1.94  all A (A=A).
% 1.75/1.94  all X Y (iext(uri_owl_differentFrom,X,Y)<->X!=Y).
% 1.75/1.94  all P1 P2 (iext(uri_owl_propertyDisjointWith,P1,P2)<->ip(P1)&ip(P2)& (all X Y (-(iext(P1,X,Y)&iext(P2,X,Y))))).
% 1.75/1.94  -iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u).
% 1.75/1.94  iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type).
% 1.75/1.94  iext(uri_rdf_type,uri_ex_w,uri_ex_c).
% 1.75/1.94  iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c).
% 1.75/1.94  end_of_list.
% 1.75/1.94  
% 1.75/1.94  -------> usable clausifies to:
% 1.75/1.94  
% 1.75/1.94  list(usable).
% 1.75/1.94  0 [] A=A.
% 1.75/1.94  0 [] -iext(uri_owl_differentFrom,X,Y)|X!=Y.
% 1.75/1.94  0 [] iext(uri_owl_differentFrom,X,Y)|X=Y.
% 1.75/1.94  0 [] -iext(uri_owl_propertyDisjointWith,P1,P2)|ip(P1).
% 1.75/1.94  0 [] -iext(uri_owl_propertyDisjointWith,P1,P2)|ip(P2).
% 1.75/1.94  0 [] -iext(uri_owl_propertyDisjointWith,P1,P2)| -iext(P1,X,Y)| -iext(P2,X,Y).
% 1.75/1.94  0 [] iext(uri_owl_propertyDisjointWith,P1,P2)| -ip(P1)| -ip(P2)|iext(P1,$f2(P1,P2),$f1(P1,P2)).
% 1.75/1.94  0 [] iext(uri_owl_propertyDisjointWith,P1,P2)| -ip(P1)| -ip(P2)|iext(P2,$f2(P1,P2),$f1(P1,P2)).
% 1.75/1.94  0 [] -iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u).
% 1.75/1.94  0 [] iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type).
% 1.75/1.94  0 [] iext(uri_rdf_type,uri_ex_w,uri_ex_c).
% 1.75/1.94  0 [] iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c).
% 1.75/1.94  end_of_list.
% 1.75/1.94  
% 1.75/1.94  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.75/1.94  
% 1.75/1.94  This ia a non-Horn set with equality.  The strategy will be
% 1.75/1.94  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.75/1.94  deletion, with positive clauses in sos and nonpositive
% 1.75/1.94  clauses in usable.
% 1.75/1.94  
% 1.75/1.94     dependent: set(knuth_bendix).
% 1.75/1.94     dependent: set(anl_eq).
% 1.75/1.94     dependent: set(para_from).
% 1.75/1.94     dependent: set(para_into).
% 1.75/1.94     dependent: clear(para_from_right).
% 1.75/1.94     dependent: clear(para_into_right).
% 1.75/1.94     dependent: set(para_from_vars).
% 1.75/1.94     dependent: set(eq_units_both_ways).
% 1.75/1.94     dependent: set(dynamic_demod_all).
% 1.75/1.94     dependent: set(dynamic_demod).
% 1.75/1.94     dependent: set(order_eq).
% 1.75/1.94     dependent: set(back_demod).
% 1.75/1.94     dependent: set(lrpo).
% 1.75/1.94     dependent: set(hyper_res).
% 1.75/1.94     dependent: set(unit_deletion).
% 1.75/1.94     dependent: set(factor).
% 1.75/1.94  
% 1.75/1.94  ------------> process usable:
% 1.75/1.94  ** KEPT (pick-wt=7): 1 [] -iext(uri_owl_differentFrom,A,B)|A!=B.
% 1.75/1.94  ** KEPT (pick-wt=6): 2 [] -iext(uri_owl_propertyDisjointWith,A,B)|ip(A).
% 1.75/1.94  ** KEPT (pick-wt=6): 3 [] -iext(uri_owl_propertyDisjointWith,A,B)|ip(B).
% 1.75/1.94  ** KEPT (pick-wt=12): 4 [] -iext(uri_owl_propertyDisjointWith,A,B)| -iext(A,C,D)| -iext(B,C,D).
% 1.75/1.94  ** KEPT (pick-wt=16): 5 [] iext(uri_owl_propertyDisjointWith,A,B)| -ip(A)| -ip(B)|iext(A,$f2(A,B),$f1(A,B)).
% 1.75/1.94  ** KEPT (pick-wt=16): 6 [] iext(uri_owl_propertyDisjointWith,A,B)| -ip(A)| -ip(B)|iext(B,$f2(A,B),$f1(A,B)).
% 1.75/1.94  ** KEPT (pick-wt=4): 7 [] -iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u).
% 1.75/1.94  
% 1.75/1.94  ------------> process sos:
% 1.75/1.94  ** KEPT (pick-wt=3): 13 [] A=A.
% 1.75/1.94  ** KEPT (pick-wt=7): 14 [] iext(uri_owl_differentFrom,A,B)|A=B.
% 1.75/1.94  ** KEPT (pick-wt=4): 15 [] iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type).
% 1.75/1.94  ** KEPT (pick-wt=4): 16 [] iext(uri_rdf_type,uri_ex_w,uri_ex_c).
% 1.75/1.94  ** KEPT (pick-wt=4): 17 [] iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c).
% 1.75/1.94    Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] A=A.
% 1.75/1.94  
% 1.75/1.94  ======= end of input processing =======
% 1.75/1.94  
% 1.75/1.94  =========== start of search ===========
% 1.75/1.94  
% 1.75/1.94  -------- PROOF -------- 
% 1.75/1.94  
% 1.75/1.94  ----> UNIT CONFLICT at   0.01 sec ----> 201 [binary,200.1,7.1] $F.
% 1.75/1.94  
% 1.75/1.94  Length of proof is 2.  Level of proof is 2.
% 1.75/1.94  
% 1.75/1.94  ---------------- PROOF ----------------
% 1.75/1.94  % SZS status Theorem
% 1.75/1.94  % SZS output start Refutation
% See solution above
% 1.75/1.94  ------------ end of proof -------------
% 1.75/1.94  
% 1.75/1.94  
% 1.75/1.94  Search stopped by max_proofs option.
% 1.75/1.94  
% 1.75/1.94  
% 1.75/1.94  Search stopped by max_proofs option.
% 1.75/1.94  
% 1.75/1.94  ============ end of search ============
% 1.75/1.94  
% 1.75/1.94  -------------- statistics -------------
% 1.75/1.94  clauses given                 22
% 1.75/1.94  clauses generated            320
% 1.75/1.94  clauses kept                 200
% 1.75/1.94  clauses forward subsumed     133
% 1.75/1.94  clauses back subsumed          8
% 1.75/1.94  Kbytes malloced              976
% 1.75/1.94  
% 1.75/1.94  ----------- times (seconds) -----------
% 1.75/1.94  user CPU time          0.01          (0 hr, 0 min, 0 sec)
% 1.75/1.94  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.75/1.94  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.75/1.94  
% 1.75/1.94  That finishes the proof of the theorem.
% 1.75/1.94  
% 1.75/1.94  Process 12348 finished Wed Jul 27 02:34:08 2022
% 1.75/1.94  Otter interrupted
% 1.75/1.94  PROOF FOUND
%------------------------------------------------------------------------------