↑ Up

Otter---3.3.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : CSR031+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n013.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 12:48:45 EDT 2022

% Result   : Theorem 1.96s 2.15s
% Output   : Refutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ collection(A)
    | ~ individual(A) ),
    file('CSR031+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ disjointwith(A,B)
    | collection(A) ),
    file('CSR031+1.p',unknown),
    [] ).

cnf(38,axiom,
    individual(c_tptptptpcol_16_8398),
    file('CSR031+1.p',unknown),
    [] ).

cnf(44,axiom,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('CSR031+1.p',unknown),
    [] ).

cnf(61,plain,
    collection(c_tptptptpcol_16_8398),
    inference(hyper,[status(thm)],[44,20]),
    [iquote('hyper,44,20')] ).

cnf(64,plain,
    $false,
    inference(hyper,[status(thm)],[61,1,38]),
    [iquote('hyper,61,1,38')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : CSR031+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13  % Command  : otter-tptp-script %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Jul 27 04:18:00 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 1.96/2.15  ----- Otter 3.3f, August 2004 -----
% 1.96/2.15  The process was started by sandbox on n013.cluster.edu,
% 1.96/2.15  Wed Jul 27 04:18:00 2022
% 1.96/2.15  The command was "./otter".  The process ID is 345.
% 1.96/2.15  
% 1.96/2.15  set(prolog_style_variables).
% 1.96/2.15  set(auto).
% 1.96/2.15     dependent: set(auto1).
% 1.96/2.15     dependent: set(process_input).
% 1.96/2.15     dependent: clear(print_kept).
% 1.96/2.15     dependent: clear(print_new_demod).
% 1.96/2.15     dependent: clear(print_back_demod).
% 1.96/2.15     dependent: clear(print_back_sub).
% 1.96/2.15     dependent: set(control_memory).
% 1.96/2.15     dependent: assign(max_mem, 12000).
% 1.96/2.15     dependent: assign(pick_given_ratio, 4).
% 1.96/2.15     dependent: assign(stats_level, 1).
% 1.96/2.15     dependent: assign(max_seconds, 10800).
% 1.96/2.15  clear(print_given).
% 1.96/2.15  
% 1.96/2.15  formula_list(usable).
% 1.96/2.15  genlmt(c_universalvocabularymt,c_corecyclmt).
% 1.96/2.15  transitivebinarypredicate(c_genlmt).
% 1.96/2.15  genlmt(c_corecyclmt,c_logicaltruthmt).
% 1.96/2.15  all OBJ (-(collection(OBJ)&individual(OBJ))).
% 1.96/2.15  disjointwith(c_collection,c_individual).
% 1.96/2.15  individual(c_tptptptpcol_16_8398).
% 1.96/2.15  all OBJ COL1 COL2 (-(isa(OBJ,COL1)&isa(OBJ,COL2)&disjointwith(COL1,COL2))).
% 1.96/2.15  all SPECPRED PRED GENLPRED (genlinverse(SPECPRED,PRED)&genlinverse(PRED,GENLPRED)->genlpreds(SPECPRED,GENLPRED)).
% 1.96/2.15  arg2isa(c_disjointwith,c_collection).
% 1.96/2.15  all ARG1 ARG2 (disjointwith(ARG1,ARG2)->collection(ARG2)).
% 1.96/2.15  all OBJ COL1 COL2 (-(isa(OBJ,COL1)&isa(OBJ,COL2)&disjointwith(COL1,COL2))).
% 1.96/2.15  all SPECPRED PRED GENLPRED (genlinverse(SPECPRED,PRED)&genlinverse(PRED,GENLPRED)->genlpreds(SPECPRED,GENLPRED)).
% 1.96/2.15  all ARG1 INS (arg2isa(ARG1,INS)->collection(INS)).
% 1.96/2.15  all INS ARG2 (arg2isa(INS,ARG2)->relation(INS)).
% 1.96/2.15  all ARG1 OLD NEW (arg2isa(ARG1,OLD)&genls(OLD,NEW)->arg2isa(ARG1,NEW)).
% 1.96/2.15  all ARG1 OLD NEW (arg2isa(ARG1,OLD)&genls(OLD,NEW)->arg2isa(ARG1,NEW)).
% 1.96/2.15  all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.96/2.15  all ARG1 INS (genlpreds(ARG1,INS)->predicate(INS)).
% 1.96/2.15  all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.96/2.15  all INS ARG2 (genlpreds(INS,ARG2)->predicate(INS)).
% 1.96/2.15  all X Y Z (genlpreds(X,Y)&genlpreds(Y,Z)->genlpreds(X,Z)).
% 1.96/2.15  all X (predicate(X)->genlpreds(X,X)).
% 1.96/2.15  all X (predicate(X)->genlpreds(X,X)).
% 1.96/2.15  all ARG1 INS (genlinverse(ARG1,INS)->binarypredicate(INS)).
% 1.96/2.15  all INS ARG2 (genlinverse(INS,ARG2)->binarypredicate(INS)).
% 1.96/2.15  all OLD ARG2 NEW (genlinverse(OLD,ARG2)&genlpreds(NEW,OLD)->genlinverse(NEW,ARG2)).
% 1.96/2.15  all ARG1 OLD NEW (genlinverse(ARG1,OLD)&genlpreds(OLD,NEW)->genlinverse(ARG1,NEW)).
% 1.96/2.15  mtvisible(c_basekb).
% 1.96/2.15  all X (isa(X,c_individual)->individual(X)).
% 1.96/2.15  all X (individual(X)->isa(X,c_individual)).
% 1.96/2.15  all X (isa(X,c_collection)->collection(X)).
% 1.96/2.15  all X (collection(X)->isa(X,c_collection)).
% 1.96/2.15  all ARG1 INS (disjointwith(ARG1,INS)->collection(INS)).
% 1.96/2.15  all INS ARG2 (disjointwith(INS,ARG2)->collection(INS)).
% 1.96/2.15  all X Y (disjointwith(X,Y)->disjointwith(Y,X)).
% 1.96/2.15  all ARG1 OLD NEW (disjointwith(ARG1,OLD)&genls(NEW,OLD)->disjointwith(ARG1,NEW)).
% 1.96/2.15  all OLD ARG2 NEW (disjointwith(OLD,ARG2)&genls(NEW,OLD)->disjointwith(NEW,ARG2)).
% 1.96/2.15  mtvisible(c_logicaltruthmt).
% 1.96/2.15  all X (isa(X,c_transitivebinarypredicate)->transitivebinarypredicate(X)).
% 1.96/2.15  all X (transitivebinarypredicate(X)->isa(X,c_transitivebinarypredicate)).
% 1.96/2.15  all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.96/2.15  all ARG1 INS (isa(ARG1,INS)->collection(INS)).
% 1.96/2.15  all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.96/2.15  all INS ARG2 (isa(INS,ARG2)->thing(INS)).
% 1.96/2.15  all ARG1 OLD NEW (isa(ARG1,OLD)&genls(OLD,NEW)->isa(ARG1,NEW)).
% 1.96/2.15  mtvisible(c_corecyclmt).
% 1.96/2.15  all SPECMT GENLMT (mtvisible(SPECMT)&genlmt(SPECMT,GENLMT)->mtvisible(GENLMT)).
% 1.96/2.15  all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 1.96/2.15  all ARG1 INS (genlmt(ARG1,INS)->microtheory(INS)).
% 1.96/2.15  all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 1.96/2.15  all INS ARG2 (genlmt(INS,ARG2)->microtheory(INS)).
% 1.96/2.15  all X Y Z (genlmt(X,Y)&genlmt(Y,Z)->genlmt(X,Z)).
% 1.96/2.15  all X (microtheory(X)->genlmt(X,X)).
% 1.96/2.15  all X (microtheory(X)->genlmt(X,X)).
% 1.96/2.15  mtvisible(c_universalvocabularymt).
% 1.96/2.15  -(-disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488)).
% 1.96/2.15  end_of_list.
% 1.96/2.15  
% 1.96/2.15  -------> usable clausifies to:
% 1.96/2.15  
% 1.96/2.15  list(usable).
% 1.96/2.15  0 [] genlmt(c_universalvocabularymt,c_corecyclmt).
% 1.96/2.15  0 [] transitivebinarypredicate(c_genlmt).
% 1.96/2.15  0 [] genlmt(c_corecyclmt,c_logicaltruthmt).
% 1.96/2.15  0 [] -collection(OBJ)| -individual(OBJ).
% 1.96/2.15  0 [] disjointwith(c_collection,c_individual).
% 1.96/2.15  0 [] individual(c_tptptptpcol_16_8398).
% 1.96/2.15  0 [] -isa(OBJ,COL1)| -isa(OBJ,COL2)| -disjointwith(COL1,COL2).
% 1.96/2.15  0 [] -genlinverse(SPECPRED,PRED)| -genlinverse(PRED,GENLPRED)|genlpreds(SPECPRED,GENLPRED).
% 1.96/2.15  0 [] arg2isa(c_disjointwith,c_collection).
% 1.96/2.15  0 [] -disjointwith(ARG1,ARG2)|collection(ARG2).
% 1.96/2.15  0 [] -isa(OBJ,COL1)| -isa(OBJ,COL2)| -disjointwith(COL1,COL2).
% 1.96/2.15  0 [] -genlinverse(SPECPRED,PRED)| -genlinverse(PRED,GENLPRED)|genlpreds(SPECPRED,GENLPRED).
% 1.96/2.15  0 [] -arg2isa(ARG1,INS)|collection(INS).
% 1.96/2.15  0 [] -arg2isa(INS,ARG2)|relation(INS).
% 1.96/2.15  0 [] -arg2isa(ARG1,OLD)| -genls(OLD,NEW)|arg2isa(ARG1,NEW).
% 1.96/2.15  0 [] -arg2isa(ARG1,OLD)| -genls(OLD,NEW)|arg2isa(ARG1,NEW).
% 1.96/2.15  0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.96/2.15  0 [] -genlpreds(ARG1,INS)|predicate(INS).
% 1.96/2.15  0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.96/2.15  0 [] -genlpreds(INS,ARG2)|predicate(INS).
% 1.96/2.15  0 [] -genlpreds(X,Y)| -genlpreds(Y,Z)|genlpreds(X,Z).
% 1.96/2.15  0 [] -predicate(X)|genlpreds(X,X).
% 1.96/2.15  0 [] -predicate(X)|genlpreds(X,X).
% 1.96/2.15  0 [] -genlinverse(ARG1,INS)|binarypredicate(INS).
% 1.96/2.15  0 [] -genlinverse(INS,ARG2)|binarypredicate(INS).
% 1.96/2.15  0 [] -genlinverse(OLD,ARG2)| -genlpreds(NEW,OLD)|genlinverse(NEW,ARG2).
% 1.96/2.15  0 [] -genlinverse(ARG1,OLD)| -genlpreds(OLD,NEW)|genlinverse(ARG1,NEW).
% 1.96/2.15  0 [] mtvisible(c_basekb).
% 1.96/2.15  0 [] -isa(X,c_individual)|individual(X).
% 1.96/2.15  0 [] -individual(X)|isa(X,c_individual).
% 1.96/2.15  0 [] -isa(X,c_collection)|collection(X).
% 1.96/2.15  0 [] -collection(X)|isa(X,c_collection).
% 1.96/2.15  0 [] -disjointwith(ARG1,INS)|collection(INS).
% 1.96/2.15  0 [] -disjointwith(INS,ARG2)|collection(INS).
% 1.96/2.15  0 [] -disjointwith(X,Y)|disjointwith(Y,X).
% 1.96/2.15  0 [] -disjointwith(ARG1,OLD)| -genls(NEW,OLD)|disjointwith(ARG1,NEW).
% 1.96/2.15  0 [] -disjointwith(OLD,ARG2)| -genls(NEW,OLD)|disjointwith(NEW,ARG2).
% 1.96/2.15  0 [] mtvisible(c_logicaltruthmt).
% 1.96/2.15  0 [] -isa(X,c_transitivebinarypredicate)|transitivebinarypredicate(X).
% 1.96/2.15  0 [] -transitivebinarypredicate(X)|isa(X,c_transitivebinarypredicate).
% 1.96/2.15  0 [] -isa(ARG1,INS)|collection(INS).
% 1.96/2.15  0 [] -isa(ARG1,INS)|collection(INS).
% 1.96/2.15  0 [] -isa(INS,ARG2)|thing(INS).
% 1.96/2.15  0 [] -isa(INS,ARG2)|thing(INS).
% 1.96/2.15  0 [] -isa(ARG1,OLD)| -genls(OLD,NEW)|isa(ARG1,NEW).
% 1.96/2.15  0 [] mtvisible(c_corecyclmt).
% 1.96/2.15  0 [] -mtvisible(SPECMT)| -genlmt(SPECMT,GENLMT)|mtvisible(GENLMT).
% 1.96/2.15  0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 1.96/2.15  0 [] -genlmt(ARG1,INS)|microtheory(INS).
% 1.96/2.15  0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 1.96/2.15  0 [] -genlmt(INS,ARG2)|microtheory(INS).
% 1.96/2.15  0 [] -genlmt(X,Y)| -genlmt(Y,Z)|genlmt(X,Z).
% 1.96/2.15  0 [] -microtheory(X)|genlmt(X,X).
% 1.96/2.15  0 [] -microtheory(X)|genlmt(X,X).
% 1.96/2.15  0 [] mtvisible(c_universalvocabularymt).
% 1.96/2.15  0 [] disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488).
% 1.96/2.15  end_of_list.
% 1.96/2.15  
% 1.96/2.15  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.96/2.15  
% 1.96/2.15  This is a Horn set without equality.  The strategy will
% 1.96/2.15  be hyperresolution, with satellites in sos and nuclei
% 1.96/2.15  in usable.
% 1.96/2.15  
% 1.96/2.15     dependent: set(hyper_res).
% 1.96/2.15     dependent: clear(order_hyper).
% 1.96/2.15  
% 1.96/2.15  ------------> process usable:
% 1.96/2.15  ** KEPT (pick-wt=4): 1 [] -collection(A)| -individual(A).
% 1.96/2.15  ** KEPT (pick-wt=9): 2 [] -isa(A,B)| -isa(A,C)| -disjointwith(B,C).
% 1.96/2.15  ** KEPT (pick-wt=9): 3 [] -genlinverse(A,B)| -genlinverse(B,C)|genlpreds(A,C).
% 1.96/2.15  ** KEPT (pick-wt=5): 4 [] -disjointwith(A,B)|collection(B).
% 1.96/2.15    Following clause subsumed by 2 during input processing: 0 [] -isa(A,B)| -isa(A,C)| -disjointwith(B,C).
% 1.96/2.15    Following clause subsumed by 3 during input processing: 0 [] -genlinverse(A,B)| -genlinverse(B,C)|genlpreds(A,C).
% 1.96/2.15  ** KEPT (pick-wt=5): 5 [] -arg2isa(A,B)|collection(B).
% 1.96/2.15  ** KEPT (pick-wt=5): 6 [] -arg2isa(A,B)|relation(A).
% 1.96/2.15  ** KEPT (pick-wt=9): 7 [] -arg2isa(A,B)| -genls(B,C)|arg2isa(A,C).
% 1.96/2.15    Following clause subsumed by 7 during input processing: 0 [] -arg2isa(A,B)| -genls(B,C)|arg2isa(A,C).
% 1.96/2.15  ** KEPT (pick-wt=5): 8 [] -genlpreds(A,B)|predicate(B).
% 1.96/2.15    Following clause subsumed by 8 during input processing: 0 [] -genlpreds(A,B)|predicate(B).
% 1.96/2.15  ** KEPT (pick-wt=5): 9 [] -genlpreds(A,B)|predicate(A).
% 1.96/2.15    Following clause subsumed by 9 during input processing: 0 [] -genlpreds(A,B)|predicate(A).
% 1.96/2.15  ** KEPT (pick-wt=9): 10 [] -genlpreds(A,B)| -genlpreds(B,C)|genlpreds(A,C).
% 1.96/2.15  ** KEPT (pick-wt=5): 11 [] -predicate(A)|genlpreds(A,A).
% 1.96/2.15    Following clause subsumed by 11 during input processing: 0 [] -predicate(A)|genlpreds(A,A).
% 1.96/2.15  ** KEPT (pick-wt=5): 12 [] -genlinverse(A,B)|binarypredicate(B).
% 1.96/2.15  ** KEPT (pick-wt=5): 13 [] -genlinverse(A,B)|binarypredicate(A).
% 1.96/2.15  ** KEPT (pick-wt=9): 14 [] -genlinverse(A,B)| -genlpreds(C,A)|genlinverse(C,B).
% 1.96/2.15  ** KEPT (pick-wt=9): 15 [] -genlinverse(A,B)| -genlpreds(B,C)|genlinverse(A,C).
% 1.96/2.15  ** KEPT (pick-wt=5): 16 [] -isa(A,c_individual)|individual(A).
% 1.96/2.15  ** KEPT (pick-wt=5): 17 [] -individual(A)|isa(A,c_individual).
% 1.96/2.15  ** KEPT (pick-wt=5): 18 [] -isa(A,c_collection)|collection(A).
% 1.96/2.15  ** KEPT (pick-wt=5): 19 [] -collection(A)|isa(A,c_collection).
% 1.96/2.15    Following clause subsumed by 4 during input processing: 0 [] -disjointwith(A,B)|collection(B).
% 1.96/2.15  ** KEPT (pick-wt=5): 20 [] -disjointwith(A,B)|collection(A).
% 1.96/2.15  ** KEPT (pick-wt=6): 21 [] -disjointwith(A,B)|disjointwith(B,A).
% 1.96/2.15  ** KEPT (pick-wt=9): 22 [] -disjointwith(A,B)| -genls(C,B)|disjointwith(A,C).
% 1.96/2.15  ** KEPT (pick-wt=9): 23 [] -disjointwith(A,B)| -genls(C,A)|disjointwith(C,B).
% 1.96/2.15  ** KEPT (pick-wt=5): 24 [] -isa(A,c_transitivebinarypredicate)|transitivebinarypredicate(A).
% 1.96/2.15  ** KEPT (pick-wt=5): 25 [] -transitivebinarypredicate(A)|isa(A,c_transitivebinarypredicate).
% 1.96/2.15  ** KEPT (pick-wt=5): 26 [] -isa(A,B)|collection(B).
% 1.96/2.15    Following clause subsumed by 26 during input processing: 0 [] -isa(A,B)|collection(B).
% 1.96/2.15  ** KEPT (pick-wt=5): 27 [] -isa(A,B)|thing(A).
% 1.96/2.15    Following clause subsumed by 27 during input processing: 0 [] -isa(A,B)|thing(A).
% 1.96/2.15  ** KEPT (pick-wt=9): 28 [] -isa(A,B)| -genls(B,C)|isa(A,C).
% 1.96/2.15  ** KEPT (pick-wt=7): 29 [] -mtvisible(A)| -genlmt(A,B)|mtvisible(B).
% 1.96/2.15  ** KEPT (pick-wt=5): 30 [] -genlmt(A,B)|microtheory(B).
% 1.96/2.15    Following clause subsumed by 30 during input processing: 0 [] -genlmt(A,B)|microtheory(B).
% 1.96/2.15  ** KEPT (pick-wt=5): 31 [] -genlmt(A,B)|microtheory(A).
% 1.96/2.15    Following clause subsumed by 31 during input processing: 0 [] -genlmt(A,B)|microtheory(A).
% 1.96/2.15  ** KEPT (pick-wt=9): 32 [] -genlmt(A,B)| -genlmt(B,C)|genlmt(A,C).
% 1.96/2.15  ** KEPT (pick-wt=5): 33 [] -microtheory(A)|genlmt(A,A).
% 1.96/2.15    Following clause subsumed by 33 during input processing: 0 [] -microtheory(A)|genlmt(A,A).
% 1.96/2.15  
% 1.96/2.15  ------------> process sos:
% 1.96/2.15  ** KEPT (pick-wt=3): 34 [] genlmt(c_universalvocabularymt,c_corecyclmt).
% 1.96/2.15  ** KEPT (pick-wt=2): 35 [] transitivebinarypredicate(c_genlmt).
% 1.96/2.15  ** KEPT (pick-wt=3): 36 [] genlmt(c_corecyclmt,c_logicaltruthmt).
% 1.96/2.15  ** KEPT (pick-wt=3): 37 [] disjointwith(c_collection,c_individual).
% 1.96/2.15  ** KEPT (pick-wt=2): 38 [] individual(c_tptptptpcol_16_8398).
% 1.96/2.15  ** KEPT (pick-wt=3): 39 [] arg2isa(c_disjointwith,c_collection).
% 1.96/2.15  ** KEPT (pick-wt=2): 40 [] mtvisible(c_basekb).
% 1.96/2.15  ** KEPT (pick-wt=2): 41 [] mtvisible(c_logicaltruthmt).
% 1.96/2.15  ** KEPT (pick-wt=2): 42 [] mtvisible(c_corecyclmt).
% 1.96/2.15  ** KEPT (pick-wt=2): 43 [] mtvisible(c_universalvocabularymt).
% 1.96/2.15  ** KEPT (pick-wt=3): 44 [] disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488).
% 1.96/2.15  
% 1.96/2.15  ======= end of input processing =======
% 1.96/2.15  
% 1.96/2.15  =========== start of search ===========
% 1.96/2.15  
% 1.96/2.15  -------- PROOF -------- 
% 1.96/2.15  
% 1.96/2.15  -----> EMPTY CLAUSE at   0.00 sec ----> 64 [hyper,61,1,38] $F.
% 1.96/2.15  
% 1.96/2.15  Length of proof is 1.  Level of proof is 1.
% 1.96/2.15  
% 1.96/2.15  ---------------- PROOF ----------------
% 1.96/2.15  % SZS status Theorem
% 1.96/2.15  % SZS output start Refutation
% See solution above
% 1.96/2.15  ------------ end of proof -------------
% 1.96/2.15  
% 1.96/2.15  
% 1.96/2.15  Search stopped by max_proofs option.
% 1.96/2.15  
% 1.96/2.15  
% 1.96/2.15  Search stopped by max_proofs option.
% 1.96/2.15  
% 1.96/2.15  ============ end of search ============
% 1.96/2.15  
% 1.96/2.15  -------------- statistics -------------
% 1.96/2.15  clauses given                 18
% 1.96/2.15  clauses generated             24
% 1.96/2.15  clauses kept                  63
% 1.96/2.15  clauses forward subsumed      16
% 1.96/2.15  clauses back subsumed          0
% 1.96/2.15  Kbytes malloced              976
% 1.96/2.15  
% 1.96/2.15  ----------- times (seconds) -----------
% 1.96/2.15  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.96/2.15  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.96/2.15  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.96/2.15  
% 1.96/2.15  That finishes the proof of the theorem.
% 1.96/2.15  
% 1.96/2.15  Process 345 finished Wed Jul 27 04:18:01 2022
% 1.96/2.15  Otter interrupted
% 1.96/2.15  PROOF FOUND
%------------------------------------------------------------------------------