TSTP Solution File: CSR067+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : CSR067+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n009.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 12:49:30 EDT 2022

% Result   : Theorem 1.75s 1.94s
% Output   : Refutation 1.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76) ),
    file('CSR067+1.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ borderson(A,B)
    | borderson(B,A) ),
    file('CSR067+1.p',unknown),
    [] ).

cnf(24,axiom,
    ~ borderson(A,c_georegion_l4_x29_y75),
    file('CSR067+1.p',unknown),
    [] ).

cnf(26,axiom,
    mtvisible(c_tptpgeo_member7_mt),
    file('CSR067+1.p',unknown),
    [] ).

cnf(27,plain,
    borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76),
    inference(hyper,[status(thm)],[26,1]),
    [iquote('hyper,26,1')] ).

cnf(28,plain,
    borderson(c_georegion_l4_x29_y76,c_georegion_l4_x29_y75),
    inference(hyper,[status(thm)],[27,22]),
    [iquote('hyper,27,22')] ).

cnf(29,plain,
    $false,
    inference(binary,[status(thm)],[28,24]),
    [iquote('binary,28.1,24.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR067+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n009.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 04:14:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.75/1.94  ----- Otter 3.3f, August 2004 -----
% 1.75/1.94  The process was started by sandbox2 on n009.cluster.edu,
% 1.75/1.94  Wed Jul 27 04:14:06 2022
% 1.75/1.94  The command was "./otter".  The process ID is 17776.
% 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  mtvisible(c_tptpgeo_member7_mt)->borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76).
% 1.75/1.94  all OBJ COL1 COL2 (-(isa(OBJ,COL1)&isa(OBJ,COL2)&disjointwith(COL1,COL2))).
% 1.75/1.94  all SPECPRED PRED GENLPRED (genlinverse(SPECPRED,PRED)&genlinverse(PRED,GENLPRED)->genlpreds(SPECPRED,GENLPRED)).
% 1.75/1.94  all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.75/1.94  all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.75/1.94  all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.75/1.94  all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.75/1.94  all X Y Z (genlpreds(X,Y)&genlpreds(Y,Z)->genlpreds(X,Z)).
% 1.75/1.94  all X (predicate(X)->genlpreds(X,X)).
% 1.75/1.94  all X (predicate(X)->genlpreds(X,X)).
% 1.75/1.94  all ARG1 INS (genlinverse(ARG1,INS)->binarypredicate(INS)).
% 1.75/1.94  all INS ARG2 (genlinverse(INS,ARG2)->binarypredicate(INS)).
% 1.75/1.94  all OLD ARG2 NEW (genlinverse(OLD,ARG2)&genlpreds(NEW,OLD)->genlinverse(NEW,ARG2)).
% 1.75/1.94  all ARG1 OLD NEW (genlinverse(ARG1,OLD)&genlpreds(OLD,NEW)->genlinverse(ARG1,NEW)).
% 1.75/1.94  all ARG1 INS (disjointwith(ARG1,INS)->collection(INS)).
% 1.75/1.94  all INS ARG2 (disjointwith(INS,ARG2)->collection(INS)).
% 1.75/1.94  all X Y (disjointwith(X,Y)->disjointwith(Y,X)).
% 1.75/1.94  all ARG1 OLD NEW (disjointwith(ARG1,OLD)&genls(NEW,OLD)->disjointwith(ARG1,NEW)).
% 1.75/1.94  all OLD ARG2 NEW (disjointwith(OLD,ARG2)&genls(NEW,OLD)->disjointwith(NEW,ARG2)).
% 1.75/1.94  all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.75/1.94  all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.75/1.94  all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.75/1.94  all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.75/1.94  all ARG1 OLD NEW (isa(ARG1,OLD)&genls(OLD,NEW)->isa(ARG1,NEW)).
% 1.75/1.94  mtvisible(c_basekb).
% 1.75/1.94  all ARG1 INS (borderson(ARG1,INS)->geographicalregion(INS)).
% 1.75/1.94  all INS ARG2 (borderson(INS,ARG2)->geographicalregion(INS)).
% 1.75/1.94  all X Y (borderson(X,Y)->borderson(Y,X)).
% 1.75/1.94  all X (-borderson(X,X)).
% 1.75/1.94  -(exists ARG1 (mtvisible(c_tptpgeo_member7_mt)->borderson(ARG1,c_georegion_l4_x29_y75))).
% 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 [] -mtvisible(c_tptpgeo_member7_mt)|borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76).
% 1.75/1.94  0 [] -isa(OBJ,COL1)| -isa(OBJ,COL2)| -disjointwith(COL1,COL2).
% 1.75/1.94  0 [] -genlinverse(SPECPRED,PRED)| -genlinverse(PRED,GENLPRED)|genlpreds(SPECPRED,GENLPRED).
% 1.75/1.94  0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.75/1.94  0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.75/1.94  0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.75/1.94  0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.75/1.94  0 [] -genlpreds(X,Y)| -genlpreds(Y,Z)|genlpreds(X,Z).
% 1.75/1.94  0 [] -predicate(X)|genlpreds(X,X).
% 1.75/1.94  0 [] -predicate(X)|genlpreds(X,X).
% 1.75/1.94  0 [] -genlinverse(ARG1,INS)|binarypredicate(INS).
% 1.75/1.94  0 [] -genlinverse(INS,ARG2)|binarypredicate(INS).
% 1.75/1.94  0 [] -genlinverse(OLD,ARG2)| -genlpreds(NEW,OLD)|genlinverse(NEW,ARG2).
% 1.75/1.94  0 [] -genlinverse(ARG1,OLD)| -genlpreds(OLD,NEW)|genlinverse(ARG1,NEW).
% 1.75/1.94  0 [] -disjointwith(ARG1,INS)|collection(INS).
% 1.75/1.94  0 [] -disjointwith(INS,ARG2)|collection(INS).
% 1.75/1.94  0 [] -disjointwith(X,Y)|disjointwith(Y,X).
% 1.75/1.94  0 [] -disjointwith(ARG1,OLD)| -genls(NEW,OLD)|disjointwith(ARG1,NEW).
% 1.75/1.94  0 [] -disjointwith(OLD,ARG2)| -genls(NEW,OLD)|disjointwith(NEW,ARG2).
% 1.75/1.94  0 [] -isa(ARG1,INS)|collection(INS).
% 1.75/1.94  0 [] -isa(ARG1,INS)|collection(INS).
% 1.75/1.94  0 [] -isa(INS,ARG2)|thing(INS).
% 1.75/1.94  0 [] -isa(INS,ARG2)|thing(INS).
% 1.75/1.94  0 [] -isa(ARG1,OLD)| -genls(OLD,NEW)|isa(ARG1,NEW).
% 1.75/1.94  0 [] mtvisible(c_basekb).
% 1.75/1.94  0 [] -borderson(ARG1,INS)|geographicalregion(INS).
% 1.75/1.94  0 [] -borderson(INS,ARG2)|geographicalregion(INS).
% 1.75/1.94  0 [] -borderson(X,Y)|borderson(Y,X).
% 1.75/1.94  0 [] -borderson(X,X).
% 1.75/1.94  0 [] mtvisible(c_tptpgeo_member7_mt).
% 1.75/1.94  0 [] -borderson(ARG1,c_georegion_l4_x29_y75).
% 1.75/1.94  end_of_list.
% 1.75/1.94  
% 1.75/1.94  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.75/1.94  
% 1.75/1.94  This is a Horn set without equality.  The strategy will
% 1.75/1.94  be hyperresolution, with satellites in sos and nuclei
% 1.75/1.94  in usable.
% 1.75/1.94  
% 1.75/1.94     dependent: set(hyper_res).
% 1.75/1.94     dependent: clear(order_hyper).
% 1.75/1.94  
% 1.75/1.94  ------------> process usable:
% 1.75/1.94  ** KEPT (pick-wt=5): 1 [] -mtvisible(c_tptpgeo_member7_mt)|borderson(c_georegion_l4_x29_y75,c_georegion_l4_x29_y76).
% 1.75/1.94  ** KEPT (pick-wt=9): 2 [] -isa(A,B)| -isa(A,C)| -disjointwith(B,C).
% 1.75/1.94  ** KEPT (pick-wt=9): 3 [] -genlinverse(A,B)| -genlinverse(B,C)|genlpreds(A,C).
% 1.75/1.94  ** KEPT (pick-wt=5): 4 [] -genlpreds(A,B)|predicate(B).
% 1.75/1.94    Following clause subsumed by 4 during input processing: 0 [] -genlpreds(A,B)|predicate(B).
% 1.75/1.94  ** KEPT (pick-wt=5): 5 [] -genlpreds(A,B)|predicate(A).
% 1.75/1.94    Following clause subsumed by 5 during input processing: 0 [] -genlpreds(A,B)|predicate(A).
% 1.75/1.94  ** KEPT (pick-wt=9): 6 [] -genlpreds(A,B)| -genlpreds(B,C)|genlpreds(A,C).
% 1.75/1.94  ** KEPT (pick-wt=5): 7 [] -predicate(A)|genlpreds(A,A).
% 1.75/1.94    Following clause subsumed by 7 during input processing: 0 [] -predicate(A)|genlpreds(A,A).
% 1.75/1.94  ** KEPT (pick-wt=5): 8 [] -genlinverse(A,B)|binarypredicate(B).
% 1.75/1.94  ** KEPT (pick-wt=5): 9 [] -genlinverse(A,B)|binarypredicate(A).
% 1.75/1.94  ** KEPT (pick-wt=9): 10 [] -genlinverse(A,B)| -genlpreds(C,A)|genlinverse(C,B).
% 1.75/1.94  ** KEPT (pick-wt=9): 11 [] -genlinverse(A,B)| -genlpreds(B,C)|genlinverse(A,C).
% 1.75/1.94  ** KEPT (pick-wt=5): 12 [] -disjointwith(A,B)|collection(B).
% 1.75/1.94  ** KEPT (pick-wt=5): 13 [] -disjointwith(A,B)|collection(A).
% 1.75/1.94  ** KEPT (pick-wt=6): 14 [] -disjointwith(A,B)|disjointwith(B,A).
% 1.75/1.94  ** KEPT (pick-wt=9): 15 [] -disjointwith(A,B)| -genls(C,B)|disjointwith(A,C).
% 1.75/1.94  ** KEPT (pick-wt=9): 16 [] -disjointwith(A,B)| -genls(C,A)|disjointwith(C,B).
% 1.75/1.94  ** KEPT (pick-wt=5): 17 [] -isa(A,B)|collection(B).
% 1.75/1.94    Following clause subsumed by 17 during input processing: 0 [] -isa(A,B)|collection(B).
% 1.75/1.94  ** KEPT (pick-wt=5): 18 [] -isa(A,B)|thing(A).
% 1.75/1.94    Following clause subsumed by 18 during input processing: 0 [] -isa(A,B)|thing(A).
% 1.75/1.94  ** KEPT (pick-wt=9): 19 [] -isa(A,B)| -genls(B,C)|isa(A,C).
% 1.75/1.94  ** KEPT (pick-wt=5): 20 [] -borderson(A,B)|geographicalregion(B).
% 1.75/1.94  ** KEPT (pick-wt=5): 21 [] -borderson(A,B)|geographicalregion(A).
% 1.75/1.94  ** KEPT (pick-wt=6): 22 [] -borderson(A,B)|borderson(B,A).
% 1.75/1.94  ** KEPT (pick-wt=3): 23 [] -borderson(A,A).
% 1.75/1.94  ** KEPT (pick-wt=3): 24 [] -borderson(A,c_georegion_l4_x29_y75).
% 1.75/1.94  
% 1.75/1.94  ------------> process sos:
% 1.75/1.94  ** KEPT (pick-wt=2): 25 [] mtvisible(c_basekb).
% 1.75/1.94  ** KEPT (pick-wt=2): 26 [] mtvisible(c_tptpgeo_member7_mt).
% 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   0.00 sec ----> 29 [binary,28.1,24.1] $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                  3
% 1.75/1.94  clauses generated              2
% 1.75/1.94  clauses kept                  28
% 1.75/1.94  clauses forward subsumed       5
% 1.75/1.94  clauses back subsumed          1
% 1.75/1.94  Kbytes malloced              976
% 1.75/1.94  
% 1.75/1.94  ----------- times (seconds) -----------
% 1.75/1.94  user CPU time          0.00          (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 17776 finished Wed Jul 27 04:14:07 2022
% 1.75/1.94  Otter interrupted
% 1.75/1.94  PROOF FOUND
%------------------------------------------------------------------------------