TSTP Solution File: CSR043+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : CSR043+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n014.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 12:49:00 EDT 2022

% Result   : Theorem 1.76s 1.97s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    3 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(35,axiom,
    ~ genls(c_tptpcol_16_30972,c_tptpcol_15_30970),
    file('CSR043+1.p',unknown),
    [] ).

cnf(41,axiom,
    genls(c_tptpcol_16_30972,c_tptpcol_15_30970),
    file('CSR043+1.p',unknown),
    [] ).

cnf(42,plain,
    $false,
    inference(binary,[status(thm)],[41,35]),
    [iquote('binary,41.1,35.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR043+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 04:20:54 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.76/1.97  ----- Otter 3.3f, August 2004 -----
% 1.76/1.97  The process was started by sandbox2 on n014.cluster.edu,
% 1.76/1.97  Wed Jul 27 04:20:54 2022
% 1.76/1.97  The command was "./otter".  The process ID is 9783.
% 1.76/1.97  
% 1.76/1.97  set(prolog_style_variables).
% 1.76/1.97  set(auto).
% 1.76/1.97     dependent: set(auto1).
% 1.76/1.97     dependent: set(process_input).
% 1.76/1.97     dependent: clear(print_kept).
% 1.76/1.97     dependent: clear(print_new_demod).
% 1.76/1.97     dependent: clear(print_back_demod).
% 1.76/1.97     dependent: clear(print_back_sub).
% 1.76/1.97     dependent: set(control_memory).
% 1.76/1.97     dependent: assign(max_mem, 12000).
% 1.76/1.97     dependent: assign(pick_given_ratio, 4).
% 1.76/1.97     dependent: assign(stats_level, 1).
% 1.76/1.97     dependent: assign(max_seconds, 10800).
% 1.76/1.97  clear(print_given).
% 1.76/1.97  
% 1.76/1.97  formula_list(usable).
% 1.76/1.97  genlmt(c_calendarsmt,c_calendarsvocabularymt).
% 1.76/1.97  transitivebinarypredicate(c_genlmt).
% 1.76/1.97  genlmt(c_basekb,c_universalvocabularymt).
% 1.76/1.97  genlmt(c_cyclistsmt,c_calendarsmt).
% 1.76/1.97  genlmt(c_calendarsvocabularymt,c_basekb).
% 1.76/1.97  genls(c_tptpcol_16_30972,c_tptpcol_15_30970).
% 1.76/1.97  all OBJ (tptpcol_16_30972(OBJ)->tptpcol_15_30970(OBJ)).
% 1.76/1.97  genlmt(c_tptp_spindleheadmt,c_cyclistsmt).
% 1.76/1.97  genlmt(c_tptp_member2862_mt,c_tptp_spindleheadmt).
% 1.76/1.97  all OBJ COL1 COL2 (-(isa(OBJ,COL1)&isa(OBJ,COL2)&disjointwith(COL1,COL2))).
% 1.76/1.97  all SPECPRED PRED GENLPRED (genlinverse(SPECPRED,PRED)&genlinverse(PRED,GENLPRED)->genlpreds(SPECPRED,GENLPRED)).
% 1.76/1.97  all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.76/1.97  all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.76/1.97  all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.76/1.97  all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.76/1.97  all X Y Z (genlpreds(X,Y)&genlpreds(Y,Z)->genlpreds(X,Z)).
% 1.76/1.97  all X (predicate(X)->genlpreds(X,X)).
% 1.76/1.97  all X (predicate(X)->genlpreds(X,X)).
% 1.76/1.97  all ARG1 INS (genlinverse(ARG1,INS)->binarypredicate(INS)).
% 1.76/1.97  all INS ARG2 (genlinverse(INS,ARG2)->binarypredicate(INS)).
% 1.76/1.97  all OLD ARG2 NEW (genlinverse(OLD,ARG2)&genlpreds(NEW,OLD)->genlinverse(NEW,ARG2)).
% 1.76/1.97  all ARG1 OLD NEW (genlinverse(ARG1,OLD)&genlpreds(OLD,NEW)->genlinverse(ARG1,NEW)).
% 1.76/1.97  all ARG1 INS (disjointwith(ARG1,INS)->collection(INS)).
% 1.76/1.97  all INS ARG2 (disjointwith(INS,ARG2)->collection(INS)).
% 1.76/1.97  all X Y (disjointwith(X,Y)->disjointwith(Y,X)).
% 1.76/1.97  all ARG1 OLD NEW (disjointwith(ARG1,OLD)&genls(NEW,OLD)->disjointwith(ARG1,NEW)).
% 1.76/1.97  all OLD ARG2 NEW (disjointwith(OLD,ARG2)&genls(NEW,OLD)->disjointwith(NEW,ARG2)).
% 1.76/1.97  all X (isa(X,c_tptpcol_15_30970)->tptpcol_15_30970(X)).
% 1.76/1.97  all X (tptpcol_15_30970(X)->isa(X,c_tptpcol_15_30970)).
% 1.76/1.97  all X (isa(X,c_tptpcol_16_30972)->tptpcol_16_30972(X)).
% 1.76/1.97  all X (tptpcol_16_30972(X)->isa(X,c_tptpcol_16_30972)).
% 1.76/1.97  all ARG1 INS (genls(ARG1,INS)->collection(INS)).
% 1.76/1.97  all ARG1 INS (genls(ARG1,INS)->collection(INS)).
% 1.76/1.97  all INS ARG2 (genls(INS,ARG2)->collection(INS)).
% 1.76/1.97  all INS ARG2 (genls(INS,ARG2)->collection(INS)).
% 1.76/1.97  all X Y Z (genls(X,Y)&genls(Y,Z)->genls(X,Z)).
% 1.76/1.97  all X (collection(X)->genls(X,X)).
% 1.76/1.97  all X (collection(X)->genls(X,X)).
% 1.76/1.97  all OLD ARG2 NEW (genls(OLD,ARG2)&genls(NEW,OLD)->genls(NEW,ARG2)).
% 1.76/1.97  all ARG1 OLD NEW (genls(ARG1,OLD)&genls(OLD,NEW)->genls(ARG1,NEW)).
% 1.76/1.97  mtvisible(c_basekb).
% 1.76/1.97  all X (isa(X,c_transitivebinarypredicate)->transitivebinarypredicate(X)).
% 1.76/1.97  all X (transitivebinarypredicate(X)->isa(X,c_transitivebinarypredicate)).
% 1.76/1.97  all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.76/1.97  all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.76/1.97  all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.76/1.97  all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.76/1.97  all ARG1 OLD NEW (isa(ARG1,OLD)&genls(OLD,NEW)->isa(ARG1,NEW)).
% 1.76/1.97  all SPECMT GENLMT (mtvisible(SPECMT)&genlmt(SPECMT,GENLMT)->mtvisible(GENLMT)).
% 1.76/1.97  all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 1.76/1.97  all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 1.76/1.97  all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 1.76/1.97  all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 1.76/1.97  all X Y Z (genlmt(X,Y)&genlmt(Y,Z)->genlmt(X,Z)).
% 1.76/1.97  all X (microtheory(X)->genlmt(X,X)).
% 1.76/1.97  all X (microtheory(X)->genlmt(X,X)).
% 1.76/1.97  mtvisible(c_universalvocabularymt).
% 1.76/1.97  -(mtvisible(c_tptp_member2862_mt)->genls(c_tptpcol_16_30972,c_tptpcol_15_30970)).
% 1.76/1.97  end_of_list.
% 1.76/1.97  
% 1.76/1.97  -------> usable clausifies to:
% 1.76/1.97  
% 1.76/1.97  list(usable).
% 1.76/1.97  0 [] genlmt(c_calendarsmt,c_calendarsvocabularymt).
% 1.76/1.97  0 [] transitivebinarypredicate(c_genlmt).
% 1.76/1.97  0 [] genlmt(c_basekb,c_universalvocabularymt).
% 1.76/1.97  0 [] genlmt(c_cyclistsmt,c_calendarsmt).
% 1.76/1.97  0 [] genlmt(c_calendarsvocabularymt,c_basekb).
% 1.76/1.97  0 [] genls(c_tptpcol_16_30972,c_tptpcol_15_30970).
% 1.76/1.97  0 [] -tptpcol_16_30972(OBJ)|tptpcol_15_30970(OBJ).
% 1.76/1.97  0 [] genlmt(c_tptp_spindleheadmt,c_cyclistsmt).
% 1.76/1.97  0 [] genlmt(c_tptp_member2862_mt,c_tptp_spindleheadmt).
% 1.76/1.97  0 [] -isa(OBJ,COL1)| -isa(OBJ,COL2)| -disjointwith(COL1,COL2).
% 1.76/1.97  0 [] -genlinverse(SPECPRED,PRED)| -genlinverse(PRED,GENLPRED)|genlpreds(SPECPRED,GENLPRED).
% 1.76/1.97  0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.76/1.97  0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.76/1.97  0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.76/1.97  0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.76/1.97  0 [] -genlpreds(X,Y)| -genlpreds(Y,Z)|genlpreds(X,Z).
% 1.76/1.97  0 [] -predicate(X)|genlpreds(X,X).
% 1.76/1.97  0 [] -predicate(X)|genlpreds(X,X).
% 1.76/1.97  0 [] -genlinverse(ARG1,INS)|binarypredicate(INS).
% 1.76/1.97  0 [] -genlinverse(INS,ARG2)|binarypredicate(INS).
% 1.76/1.97  0 [] -genlinverse(OLD,ARG2)| -genlpreds(NEW,OLD)|genlinverse(NEW,ARG2).
% 1.76/1.97  0 [] -genlinverse(ARG1,OLD)| -genlpreds(OLD,NEW)|genlinverse(ARG1,NEW).
% 1.76/1.97  0 [] -disjointwith(ARG1,INS)|collection(INS).
% 1.76/1.97  0 [] -disjointwith(INS,ARG2)|collection(INS).
% 1.76/1.97  0 [] -disjointwith(X,Y)|disjointwith(Y,X).
% 1.76/1.97  0 [] -disjointwith(ARG1,OLD)| -genls(NEW,OLD)|disjointwith(ARG1,NEW).
% 1.76/1.97  0 [] -disjointwith(OLD,ARG2)| -genls(NEW,OLD)|disjointwith(NEW,ARG2).
% 1.76/1.97  0 [] -isa(X,c_tptpcol_15_30970)|tptpcol_15_30970(X).
% 1.76/1.97  0 [] -tptpcol_15_30970(X)|isa(X,c_tptpcol_15_30970).
% 1.76/1.97  0 [] -isa(X,c_tptpcol_16_30972)|tptpcol_16_30972(X).
% 1.76/1.97  0 [] -tptpcol_16_30972(X)|isa(X,c_tptpcol_16_30972).
% 1.76/1.97  0 [] -genls(ARG1,INS)|collection(INS).
% 1.76/1.97  0 [] -genls(ARG1,INS)|collection(INS).
% 1.76/1.97  0 [] -genls(INS,ARG2)|collection(INS).
% 1.76/1.97  0 [] -genls(INS,ARG2)|collection(INS).
% 1.76/1.97  0 [] -genls(X,Y)| -genls(Y,Z)|genls(X,Z).
% 1.76/1.97  0 [] -collection(X)|genls(X,X).
% 1.76/1.97  0 [] -collection(X)|genls(X,X).
% 1.76/1.97  0 [] -genls(OLD,ARG2)| -genls(NEW,OLD)|genls(NEW,ARG2).
% 1.76/1.97  0 [] -genls(ARG1,OLD)| -genls(OLD,NEW)|genls(ARG1,NEW).
% 1.76/1.97  0 [] mtvisible(c_basekb).
% 1.76/1.97  0 [] -isa(X,c_transitivebinarypredicate)|transitivebinarypredicate(X).
% 1.76/1.97  0 [] -transitivebinarypredicate(X)|isa(X,c_transitivebinarypredicate).
% 1.76/1.97  0 [] -isa(ARG1,INS)|collection(INS).
% 1.76/1.97  0 [] -isa(ARG1,INS)|collection(INS).
% 1.76/1.97  0 [] -isa(INS,ARG2)|thing(INS).
% 1.76/1.97  0 [] -isa(INS,ARG2)|thing(INS).
% 1.76/1.97  0 [] -isa(ARG1,OLD)| -genls(OLD,NEW)|isa(ARG1,NEW).
% 1.76/1.97  0 [] -mtvisible(SPECMT)| -genlmt(SPECMT,GENLMT)|mtvisible(GENLMT).
% 1.76/1.97  0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 1.76/1.97  0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 1.76/1.97  0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 1.76/1.97  0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 1.76/1.97  0 [] -genlmt(X,Y)| -genlmt(Y,Z)|genlmt(X,Z).
% 1.76/1.97  0 [] -microtheory(X)|genlmt(X,X).
% 1.76/1.97  0 [] -microtheory(X)|genlmt(X,X).
% 1.76/1.97  0 [] mtvisible(c_universalvocabularymt).
% 1.76/1.97  0 [] mtvisible(c_tptp_member2862_mt).
% 1.76/1.97  0 [] -genls(c_tptpcol_16_30972,c_tptpcol_15_30970).
% 1.76/1.97  end_of_list.
% 1.76/1.97  
% 1.76/1.97  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.76/1.97  
% 1.76/1.97  This is a Horn set without equality.  The strategy will
% 1.76/1.97  be hyperresolution, with satellites in sos and nuclei
% 1.76/1.97  in usable.
% 1.76/1.97  
% 1.76/1.97     dependent: set(hyper_res).
% 1.76/1.97     dependent: clear(order_hyper).
% 1.76/1.97  
% 1.76/1.97  ------------> process usable:
% 1.76/1.97  ** KEPT (pick-wt=4): 1 [] -tptpcol_16_30972(A)|tptpcol_15_30970(A).
% 1.76/1.97  ** KEPT (pick-wt=9): 2 [] -isa(A,B)| -isa(A,C)| -disjointwith(B,C).
% 1.76/1.97  ** KEPT (pick-wt=9): 3 [] -genlinverse(A,B)| -genlinverse(B,C)|genlpreds(A,C).
% 1.76/1.97  ** KEPT (pick-wt=5): 4 [] -genlpreds(A,B)|predicate(B).
% 1.76/1.97    Following clause subsumed by 4 during input processing: 0 [] -genlpreds(A,B)|predicate(B).
% 1.76/1.97  ** KEPT (pick-wt=5): 5 [] -genlpreds(A,B)|predicate(A).
% 1.76/1.97    Following clause subsumed by 5 during input processing: 0 [] -genlpreds(A,B)|predicate(A).
% 1.76/1.97  ** KEPT (pick-wt=9): 6 [] -genlpreds(A,B)| -genlpreds(B,C)|genlpreds(A,C).
% 1.76/1.97  ** KEPT (pick-wt=5): 7 [] -predicate(A)|genlpreds(A,A).
% 1.76/1.97    Following clause subsumed by 7 during input processing: 0 [] -predicate(A)|genlpreds(A,A).
% 1.76/1.97  ** KEPT (pick-wt=5): 8 [] -genlinverse(A,B)|binarypredicate(B).
% 1.76/1.97  ** KEPT (pick-wt=5): 9 [] -genlinverse(A,B)|binarypredicate(A).
% 1.76/1.97  ** KEPT (pick-wt=9): 10 [] -genlinverse(A,B)| -genlpreds(C,A)|genlinverse(C,B).
% 1.76/1.97  ** KEPT (pick-wt=9): 11 [] -genlinverse(A,B)| -genlpreds(B,C)|genlinverse(A,C).
% 1.76/1.97  ** KEPT (pick-wt=5): 12 [] -disjointwith(A,B)|collection(B).
% 1.76/1.97  ** KEPT (pick-wt=5): 13 [] -disjointwith(A,B)|collection(A).
% 1.76/1.97  ** KEPT (pick-wt=6): 14 [] -disjointwith(A,B)|disjointwit
% 1.76/1.97  -------- PROOF -------- 
% 1.76/1.97  h(B,A).
% 1.76/1.97  ** KEPT (pick-wt=9): 15 [] -disjointwith(A,B)| -genls(C,B)|disjointwith(A,C).
% 1.76/1.97  ** KEPT (pick-wt=9): 16 [] -disjointwith(A,B)| -genls(C,A)|disjointwith(C,B).
% 1.76/1.97  ** KEPT (pick-wt=5): 17 [] -isa(A,c_tptpcol_15_30970)|tptpcol_15_30970(A).
% 1.76/1.97  ** KEPT (pick-wt=5): 18 [] -tptpcol_15_30970(A)|isa(A,c_tptpcol_15_30970).
% 1.76/1.97  ** KEPT (pick-wt=5): 19 [] -isa(A,c_tptpcol_16_30972)|tptpcol_16_30972(A).
% 1.76/1.97  ** KEPT (pick-wt=5): 20 [] -tptpcol_16_30972(A)|isa(A,c_tptpcol_16_30972).
% 1.76/1.97  ** KEPT (pick-wt=5): 21 [] -genls(A,B)|collection(B).
% 1.76/1.97    Following clause subsumed by 21 during input processing: 0 [] -genls(A,B)|collection(B).
% 1.76/1.97  ** KEPT (pick-wt=5): 22 [] -genls(A,B)|collection(A).
% 1.76/1.97    Following clause subsumed by 22 during input processing: 0 [] -genls(A,B)|collection(A).
% 1.76/1.97  ** KEPT (pick-wt=9): 23 [] -genls(A,B)| -genls(B,C)|genls(A,C).
% 1.76/1.97  ** KEPT (pick-wt=5): 24 [] -collection(A)|genls(A,A).
% 1.76/1.97    Following clause subsumed by 24 during input processing: 0 [] -collection(A)|genls(A,A).
% 1.76/1.97    Following clause subsumed by 23 during input processing: 0 [] -genls(A,B)| -genls(C,A)|genls(C,B).
% 1.76/1.97    Following clause subsumed by 23 during input processing: 0 [] -genls(A,B)| -genls(B,C)|genls(A,C).
% 1.76/1.97  ** KEPT (pick-wt=5): 25 [] -isa(A,c_transitivebinarypredicate)|transitivebinarypredicate(A).
% 1.76/1.97  ** KEPT (pick-wt=5): 26 [] -transitivebinarypredicate(A)|isa(A,c_transitivebinarypredicate).
% 1.76/1.97  ** KEPT (pick-wt=5): 27 [] -isa(A,B)|collection(B).
% 1.76/1.97    Following clause subsumed by 27 during input processing: 0 [] -isa(A,B)|collection(B).
% 1.76/1.97  ** KEPT (pick-wt=5): 28 [] -isa(A,B)|thing(A).
% 1.76/1.97    Following clause subsumed by 28 during input processing: 0 [] -isa(A,B)|thing(A).
% 1.76/1.97  ** KEPT (pick-wt=9): 29 [] -isa(A,B)| -genls(B,C)|isa(A,C).
% 1.76/1.97  ** KEPT (pick-wt=7): 30 [] -mtvisible(A)| -genlmt(A,B)|mtvisible(B).
% 1.76/1.97  ** KEPT (pick-wt=5): 31 [] -genlmt(A,B)|microtheory(B).
% 1.76/1.97    Following clause subsumed by 31 during input processing: 0 [] -genlmt(A,B)|microtheory(B).
% 1.76/1.97  ** KEPT (pick-wt=5): 32 [] -genlmt(A,B)|microtheory(A).
% 1.76/1.97    Following clause subsumed by 32 during input processing: 0 [] -genlmt(A,B)|microtheory(A).
% 1.76/1.97  ** KEPT (pick-wt=9): 33 [] -genlmt(A,B)| -genlmt(B,C)|genlmt(A,C).
% 1.76/1.97  ** KEPT (pick-wt=5): 34 [] -microtheory(A)|genlmt(A,A).
% 1.76/1.97    Following clause subsumed by 34 during input processing: 0 [] -microtheory(A)|genlmt(A,A).
% 1.76/1.97  ** KEPT (pick-wt=3): 35 [] -genls(c_tptpcol_16_30972,c_tptpcol_15_30970).
% 1.76/1.97  
% 1.76/1.97  ------------> process sos:
% 1.76/1.97  ** KEPT (pick-wt=3): 36 [] genlmt(c_calendarsmt,c_calendarsvocabularymt).
% 1.76/1.97  ** KEPT (pick-wt=2): 37 [] transitivebinarypredicate(c_genlmt).
% 1.76/1.97  ** KEPT (pick-wt=3): 38 [] genlmt(c_basekb,c_universalvocabularymt).
% 1.76/1.97  ** KEPT (pick-wt=3): 39 [] genlmt(c_cyclistsmt,c_calendarsmt).
% 1.76/1.97  ** KEPT (pick-wt=3): 40 [] genlmt(c_calendarsvocabularymt,c_basekb).
% 1.76/1.97  ** KEPT (pick-wt=3): 41 [] genls(c_tptpcol_16_30972,c_tptpcol_15_30970).
% 1.76/1.97  
% 1.76/1.97  ----> UNIT CONFLICT at   0.00 sec ----> 42 [binary,41.1,35.1] $F.
% 1.76/1.97  
% 1.76/1.97  Length of proof is 0.  Level of proof is 0.
% 1.76/1.97  
% 1.76/1.97  ---------------- PROOF ----------------
% 1.76/1.97  % SZS status Theorem
% 1.76/1.97  % SZS output start Refutation
% See solution above
% 1.76/1.97  ------------ end of proof -------------
% 1.76/1.97  
% 1.76/1.97  
% 1.76/1.97  Search stopped by max_proofs option.
% 1.76/1.97  
% 1.76/1.97  
% 1.76/1.97  Search stopped by max_proofs option.
% 1.76/1.97  
% 1.76/1.97  ============ end of search ============
% 1.76/1.97  
% 1.76/1.97  -------------- statistics -------------
% 1.76/1.97  clauses given                  0
% 1.76/1.97  clauses generated              0
% 1.76/1.97  clauses kept                  41
% 1.76/1.97  clauses forward subsumed      13
% 1.76/1.97  clauses back subsumed          0
% 1.76/1.97  Kbytes malloced              976
% 1.76/1.97  
% 1.76/1.97  ----------- times (seconds) -----------
% 1.76/1.97  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.76/1.97  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.76/1.97  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.76/1.97  
% 1.76/1.97  That finishes the proof of the theorem.
% 1.76/1.97  
% 1.76/1.97  Process 9783 finished Wed Jul 27 04:20:56 2022
% 1.76/1.97  Otter interrupted
% 1.76/1.97  PROOF FOUND
%------------------------------------------------------------------------------