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Otter---3.3.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : CSR059+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n006.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 12:49:20 EDT 2022

% Result   : Theorem 2.02s 2.20s
% Output   : Refutation 2.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ mtvisible(c_tptpgeo_member5_mt)
    | borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('CSR059+1.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ borderson(A,B)
    | borderson(B,A) ),
    file('CSR059+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ mtvisible(A)
    | ~ genlmt(A,B)
    | mtvisible(B) ),
    file('CSR059+1.p',unknown),
    [] ).

cnf(29,axiom,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    file('CSR059+1.p',unknown),
    [] ).

cnf(30,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('CSR059+1.p',unknown),
    [] ).

cnf(33,axiom,
    mtvisible(c_tptpgeo_spindlecollectormt),
    file('CSR059+1.p',unknown),
    [] ).

cnf(36,plain,
    mtvisible(c_tptpgeo_member5_mt),
    inference(hyper,[status(thm)],[33,24,30]),
    [iquote('hyper,33,24,30')] ).

cnf(39,plain,
    borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
    inference(hyper,[status(thm)],[36,1]),
    [iquote('hyper,36,1')] ).

cnf(40,plain,
    borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(hyper,[status(thm)],[39,22]),
    [iquote('hyper,39,22')] ).

cnf(41,plain,
    $false,
    inference(binary,[status(thm)],[40,29]),
    [iquote('binary,40.1,29.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR059+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n006.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 04:06:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.02/2.19  ----- Otter 3.3f, August 2004 -----
% 2.02/2.19  The process was started by sandbox2 on n006.cluster.edu,
% 2.02/2.19  Wed Jul 27 04:06:32 2022
% 2.02/2.19  The command was "./otter".  The process ID is 9527.
% 2.02/2.19  
% 2.02/2.19  set(prolog_style_variables).
% 2.02/2.19  set(auto).
% 2.02/2.19     dependent: set(auto1).
% 2.02/2.19     dependent: set(process_input).
% 2.02/2.19     dependent: clear(print_kept).
% 2.02/2.19     dependent: clear(print_new_demod).
% 2.02/2.19     dependent: clear(print_back_demod).
% 2.02/2.19     dependent: clear(print_back_sub).
% 2.02/2.19     dependent: set(control_memory).
% 2.02/2.19     dependent: assign(max_mem, 12000).
% 2.02/2.19     dependent: assign(pick_given_ratio, 4).
% 2.02/2.19     dependent: assign(stats_level, 1).
% 2.02/2.19     dependent: assign(max_seconds, 10800).
% 2.02/2.19  clear(print_given).
% 2.02/2.19  
% 2.02/2.19  formula_list(usable).
% 2.02/2.19  genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt).
% 2.02/2.19  mtvisible(c_tptpgeo_member5_mt)->borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47).
% 2.02/2.19  all OBJ COL1 COL2 (-(isa(OBJ,COL1)&isa(OBJ,COL2)&disjointwith(COL1,COL2))).
% 2.02/2.19  all SPECPRED PRED GENLPRED (genlinverse(SPECPRED,PRED)&genlinverse(PRED,GENLPRED)->genlpreds(SPECPRED,GENLPRED)).
% 2.02/2.19  all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 2.02/2.19  all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 2.02/2.19  all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 2.02/2.19  all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 2.02/2.19  all X Y Z (genlpreds(X,Y)&genlpreds(Y,Z)->genlpreds(X,Z)).
% 2.02/2.19  all X (predicate(X)->genlpreds(X,X)).
% 2.02/2.19  all X (predicate(X)->genlpreds(X,X)).
% 2.02/2.19  all ARG1 INS (genlinverse(ARG1,INS)->binarypredicate(INS)).
% 2.02/2.19  all INS ARG2 (genlinverse(INS,ARG2)->binarypredicate(INS)).
% 2.02/2.19  all OLD ARG2 NEW (genlinverse(OLD,ARG2)&genlpreds(NEW,OLD)->genlinverse(NEW,ARG2)).
% 2.02/2.19  all ARG1 OLD NEW (genlinverse(ARG1,OLD)&genlpreds(OLD,NEW)->genlinverse(ARG1,NEW)).
% 2.02/2.19  all ARG1 INS (disjointwith(ARG1,INS)->collection(INS)).
% 2.02/2.19  all INS ARG2 (disjointwith(INS,ARG2)->collection(INS)).
% 2.02/2.19  all X Y (disjointwith(X,Y)->disjointwith(Y,X)).
% 2.02/2.19  all ARG1 OLD NEW (disjointwith(ARG1,OLD)&genls(NEW,OLD)->disjointwith(ARG1,NEW)).
% 2.02/2.19  all OLD ARG2 NEW (disjointwith(OLD,ARG2)&genls(NEW,OLD)->disjointwith(NEW,ARG2)).
% 2.02/2.19  all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 2.02/2.19  all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 2.02/2.19  all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 2.02/2.19  all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 2.02/2.19  all ARG1 OLD NEW (isa(ARG1,OLD)&genls(OLD,NEW)->isa(ARG1,NEW)).
% 2.02/2.19  mtvisible(c_basekb).
% 2.02/2.19  all ARG1 INS (borderson(ARG1,INS)->geographicalregion(INS)).
% 2.02/2.19  all INS ARG2 (borderson(INS,ARG2)->geographicalregion(INS)).
% 2.02/2.19  all X Y (borderson(X,Y)->borderson(Y,X)).
% 2.02/2.19  all X (-borderson(X,X)).
% 2.02/2.19  all SPECMT GENLMT (mtvisible(SPECMT)&genlmt(SPECMT,GENLMT)->mtvisible(GENLMT)).
% 2.02/2.19  all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 2.02/2.19  all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 2.02/2.19  all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 2.02/2.19  all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 2.02/2.19  all X Y Z (genlmt(X,Y)&genlmt(Y,Z)->genlmt(X,Z)).
% 2.02/2.19  all X (microtheory(X)->genlmt(X,X)).
% 2.02/2.19  all X (microtheory(X)->genlmt(X,X)).
% 2.02/2.19  mtvisible(c_universalvocabularymt).
% 2.02/2.19  -(mtvisible(c_tptpgeo_spindlecollectormt)->borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)).
% 2.02/2.19  end_of_list.
% 2.02/2.19  
% 2.02/2.19  -------> usable clausifies to:
% 2.02/2.19  
% 2.02/2.19  list(usable).
% 2.02/2.19  0 [] genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt).
% 2.02/2.19  0 [] -mtvisible(c_tptpgeo_member5_mt)|borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47).
% 2.02/2.19  0 [] -isa(OBJ,COL1)| -isa(OBJ,COL2)| -disjointwith(COL1,COL2).
% 2.02/2.19  0 [] -genlinverse(SPECPRED,PRED)| -genlinverse(PRED,GENLPRED)|genlpreds(SPECPRED,GENLPRED).
% 2.02/2.19  0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 2.02/2.19  0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 2.02/2.19  0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 2.02/2.19  0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 2.02/2.19  0 [] -genlpreds(X,Y)| -genlpreds(Y,Z)|genlpreds(X,Z).
% 2.02/2.19  0 [] -predicate(X)|genlpreds(X,X).
% 2.02/2.19  0 [] -predicate(X)|genlpreds(X,X).
% 2.02/2.19  0 [] -genlinverse(ARG1,INS)|binarypredicate(INS).
% 2.02/2.19  0 [] -genlinverse(INS,ARG2)|binarypredicate(INS).
% 2.02/2.19  0 [] -genlinverse(OLD,ARG2)| -genlpreds(NEW,OLD)|genlinverse(NEW,ARG2).
% 2.02/2.19  0 [] -genlinverse(ARG1,OLD)| -genlpreds(OLD,NEW)|genlinverse(ARG1,NEW).
% 2.02/2.19  0 [] -disjointwith(ARG1,INS)|collection(INS).
% 2.02/2.19  0 [] -disjointwith(INS,ARG2)|collection(INS).
% 2.02/2.19  0 [] -disjointwith(X,Y)|disjointwith(Y,X).
% 2.02/2.19  0 [] -disjointwith(ARG1,OLD)| -genls(NEW,OLD)|disjointwith(ARG1,NEW).
% 2.02/2.19  0 [] -disjointwith(OLD,ARG2)| -genls(NEW,OLD)|disjointwith(NEW,ARG2).
% 2.02/2.19  0 [] -isa(ARG1,INS)|collection(INS).
% 2.02/2.19  0 [] -isa(ARG1,INS)|collection(INS).
% 2.02/2.19  0 [] -isa(INS,ARG2)|thing(INS).
% 2.02/2.19  0 [] -isa(INS,ARG2)|thing(INS).
% 2.02/2.19  0 [] -isa(ARG1,OLD)| -genls(OLD,NEW)|isa(ARG1,NEW).
% 2.02/2.19  0 [] mtvisible(c_basekb).
% 2.02/2.19  0 [] -borderson(ARG1,INS)|geographicalregion(INS).
% 2.02/2.19  0 [] -borderson(INS,ARG2)|geographicalregion(INS).
% 2.02/2.19  0 [] -borderson(X,Y)|borderson(Y,X).
% 2.02/2.19  0 [] -borderson(X,X).
% 2.02/2.19  0 [] -mtvisible(SPECMT)| -genlmt(SPECMT,GENLMT)|mtvisible(GENLMT).
% 2.02/2.19  0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 2.02/2.19  0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 2.02/2.19  0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 2.02/2.19  0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 2.02/2.19  0 [] -genlmt(X,Y)| -genlmt(Y,Z)|genlmt(X,Z).
% 2.02/2.19  0 [] -microtheory(X)|genlmt(X,X).
% 2.02/2.19  0 [] -microtheory(X)|genlmt(X,X).
% 2.02/2.19  0 [] mtvisible(c_universalvocabularymt).
% 2.02/2.19  0 [] mtvisible(c_tptpgeo_spindlecollectormt).
% 2.02/2.19  0 [] -borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47).
% 2.02/2.19  end_of_list.
% 2.02/2.19  
% 2.02/2.19  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 2.02/2.19  
% 2.02/2.19  This is a Horn set without equality.  The strategy will
% 2.02/2.19  be hyperresolution, with satellites in sos and nuclei
% 2.02/2.19  in usable.
% 2.02/2.19  
% 2.02/2.19     dependent: set(hyper_res).
% 2.02/2.19     dependent: clear(order_hyper).
% 2.02/2.19  
% 2.02/2.19  ------------> process usable:
% 2.02/2.19  ** KEPT (pick-wt=5): 1 [] -mtvisible(c_tptpgeo_member5_mt)|borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47).
% 2.02/2.19  ** KEPT (pick-wt=9): 2 [] -isa(A,B)| -isa(A,C)| -disjointwith(B,C).
% 2.02/2.19  ** KEPT (pick-wt=9): 3 [] -genlinverse(A,B)| -genlinverse(B,C)|genlpreds(A,C).
% 2.02/2.19  ** KEPT (pick-wt=5): 4 [] -genlpreds(A,B)|predicate(B).
% 2.02/2.19    Following clause subsumed by 4 during input processing: 0 [] -genlpreds(A,B)|predicate(B).
% 2.02/2.19  ** KEPT (pick-wt=5): 5 [] -genlpreds(A,B)|predicate(A).
% 2.02/2.19    Following clause subsumed by 5 during input processing: 0 [] -genlpreds(A,B)|predicate(A).
% 2.02/2.19  ** KEPT (pick-wt=9): 6 [] -genlpreds(A,B)| -genlpreds(B,C)|genlpreds(A,C).
% 2.02/2.19  ** KEPT (pick-wt=5): 7 [] -predicate(A)|genlpreds(A,A).
% 2.02/2.19    Following clause subsumed by 7 during input processing: 0 [] -predicate(A)|genlpreds(A,A).
% 2.02/2.19  ** KEPT (pick-wt=5): 8 [] -genlinverse(A,B)|binarypredicate(B).
% 2.02/2.20  ** KEPT (pick-wt=5): 9 [] -genlinverse(A,B)|binarypredicate(A).
% 2.02/2.20  ** KEPT (pick-wt=9): 10 [] -genlinverse(A,B)| -genlpreds(C,A)|genlinverse(C,B).
% 2.02/2.20  ** KEPT (pick-wt=9): 11 [] -genlinverse(A,B)| -genlpreds(B,C)|genlinverse(A,C).
% 2.02/2.20  ** KEPT (pick-wt=5): 12 [] -disjointwith(A,B)|collection(B).
% 2.02/2.20  ** KEPT (pick-wt=5): 13 [] -disjointwith(A,B)|collection(A).
% 2.02/2.20  ** KEPT (pick-wt=6): 14 [] -disjointwith(A,B)|disjointwith(B,A).
% 2.02/2.20  ** KEPT (pick-wt=9): 15 [] -disjointwith(A,B)| -genls(C,B)|disjointwith(A,C).
% 2.02/2.20  ** KEPT (pick-wt=9): 16 [] -disjointwith(A,B)| -genls(C,A)|disjointwith(C,B).
% 2.02/2.20  ** KEPT (pick-wt=5): 17 [] -isa(A,B)|collection(B).
% 2.02/2.20    Following clause subsumed by 17 during input processing: 0 [] -isa(A,B)|collection(B).
% 2.02/2.20  ** KEPT (pick-wt=5): 18 [] -isa(A,B)|thing(A).
% 2.02/2.20    Following clause subsumed by 18 during input processing: 0 [] -isa(A,B)|thing(A).
% 2.02/2.20  ** KEPT (pick-wt=9): 19 [] -isa(A,B)| -genls(B,C)|isa(A,C).
% 2.02/2.20  ** KEPT (pick-wt=5): 20 [] -borderson(A,B)|geographicalregion(B).
% 2.02/2.20  ** KEPT (pick-wt=5): 21 [] -borderson(A,B)|geographicalregion(A).
% 2.02/2.20  ** KEPT (pick-wt=6): 22 [] -borderson(A,B)|borderson(B,A).
% 2.02/2.20  ** KEPT (pick-wt=3): 23 [] -borderson(A,A).
% 2.02/2.20  ** KEPT (pick-wt=7): 24 [] -mtvisible(A)| -genlmt(A,B)|mtvisible(B).
% 2.02/2.20  ** KEPT (pick-wt=5): 25 [] -genlmt(A,B)|microtheory(B).
% 2.02/2.20    Following clause subsumed by 25 during input processing: 0 [] -genlmt(A,B)|microtheory(B).
% 2.02/2.20  ** KEPT (pick-wt=5): 26 [] -genlmt(A,B)|microtheory(A).
% 2.02/2.20    Following clause subsumed by 26 during input processing: 0 [] -genlmt(A,B)|microtheory(A).
% 2.02/2.20  ** KEPT (pick-wt=9): 27 [] -genlmt(A,B)| -genlmt(B,C)|genlmt(A,C).
% 2.02/2.20  ** KEPT (pick-wt=5): 28 [] -microtheory(A)|genlmt(A,A).
% 2.02/2.20    Following clause subsumed by 28 during input processing: 0 [] -microtheory(A)|genlmt(A,A).
% 2.02/2.20  ** KEPT (pick-wt=3): 29 [] -borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47).
% 2.02/2.20  
% 2.02/2.20  ------------> process sos:
% 2.02/2.20  ** KEPT (pick-wt=3): 30 [] genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt).
% 2.02/2.20  ** KEPT (pick-wt=2): 31 [] mtvisible(c_basekb).
% 2.02/2.20  ** KEPT (pick-wt=2): 32 [] mtvisible(c_universalvocabularymt).
% 2.02/2.20  ** KEPT (pick-wt=2): 33 [] mtvisible(c_tptpgeo_spindlecollectormt).
% 2.02/2.20  
% 2.02/2.20  ======= end of input processing =======
% 2.02/2.20  
% 2.02/2.20  =========== start of search ===========
% 2.02/2.20  
% 2.02/2.20  -------- PROOF -------- 
% 2.02/2.20  
% 2.02/2.20  ----> UNIT CONFLICT at   0.00 sec ----> 41 [binary,40.1,29.1] $F.
% 2.02/2.20  
% 2.02/2.20  Length of proof is 3.  Level of proof is 3.
% 2.02/2.20  
% 2.02/2.20  ---------------- PROOF ----------------
% 2.02/2.20  % SZS status Theorem
% 2.02/2.20  % SZS output start Refutation
% See solution above
% 2.02/2.20  ------------ end of proof -------------
% 2.02/2.20  
% 2.02/2.20  
% 2.02/2.20  Search stopped by max_proofs option.
% 2.02/2.20  
% 2.02/2.20  
% 2.02/2.20  Search stopped by max_proofs option.
% 2.02/2.20  
% 2.02/2.20  ============ end of search ============
% 2.02/2.20  
% 2.02/2.20  -------------- statistics -------------
% 2.02/2.20  clauses given                 10
% 2.02/2.20  clauses generated             19
% 2.02/2.20  clauses kept                  40
% 2.02/2.20  clauses forward subsumed      20
% 2.02/2.20  clauses back subsumed          1
% 2.02/2.20  Kbytes malloced              976
% 2.02/2.20  
% 2.02/2.20  ----------- times (seconds) -----------
% 2.02/2.20  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 2.02/2.20  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 2.02/2.20  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 2.02/2.20  
% 2.02/2.20  That finishes the proof of the theorem.
% 2.02/2.20  
% 2.02/2.20  Process 9527 finished Wed Jul 27 04:06:33 2022
% 2.02/2.20  Otter interrupted
% 2.02/2.20  PROOF FOUND
%------------------------------------------------------------------------------