TSTP Solution File: LCL494+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL494+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.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 Aug 31 17:48:31 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  101 (  34 unt;   0 def)
%            Number of atoms       :  199 (  28 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  168 (  70   ~;  65   |;   3   &)
%                                         (  15 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   20 (  18 usr;  18 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  126 ( 122   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f360,plain,
    $false,
    inference(avatar_sat_refutation,[],[f131,f139,f149,f159,f167,f177,f184,f185,f359]) ).

fof(f359,plain,
    ( ~ spl2_2
    | ~ spl2_3
    | spl2_8
    | ~ spl2_9 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

fof(f356,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_3
    | spl2_8
    | ~ spl2_9 ),
    inference(resolution,[],[f285,f158]) ).

fof(f158,plain,
    ( ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0)))
    | spl2_8 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl2_8
  <=> is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f285,plain,
    ( ! [X0,X1] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_9 ),
    inference(superposition,[],[f281,f148]) ).

fof(f148,plain,
    ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
    inference(subsumption_resolution,[],[f114,f106]) ).

fof(f106,plain,
    op_equiv,
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    op_equiv,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_equiv) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ op_equiv
      | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ~ op_equiv
    | ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ( ~ op_equiv
    | ! [X1,X0] : equiv(X1,X0) = and(implies(X1,X0),implies(X0,X1)) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ( op_equiv
   => ! [X1,X0] : equiv(X1,X0) = and(implies(X1,X0),implies(X0,X1)) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ( op_equiv
   => ! [X1,X0] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_equiv) ).

fof(f281,plain,
    ( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_9 ),
    inference(forward_demodulation,[],[f271,f243]) ).

fof(f243,plain,
    ! [X8,X6,X7] : or(implies(X6,not(X7)),X8) = implies(and(X6,X7),X8),
    inference(forward_demodulation,[],[f234,f178]) ).

fof(f178,plain,
    ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
    inference(subsumption_resolution,[],[f105,f113]) ).

fof(f113,plain,
    op_implies_and,
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    op_implies_and,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_implies_and) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ op_implies_and
      | implies(X0,X1) = not(and(X0,not(X1))) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
    | ~ op_implies_and ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( op_implies_and
   => ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_and) ).

fof(f234,plain,
    ! [X8,X6,X7] : not(and(and(X6,X7),not(X8))) = or(implies(X6,not(X7)),X8),
    inference(superposition,[],[f183,f181]) ).

fof(f181,plain,
    ! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
    inference(forward_demodulation,[],[f180,f179]) ).

fof(f179,plain,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    inference(subsumption_resolution,[],[f107,f97]) ).

fof(f97,plain,
    op_implies_or,
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    op_implies_or,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_implies_or) ).

fof(f107,plain,
    ! [X0,X1] :
      ( implies(X0,X1) = or(not(X0),X1)
      | ~ op_implies_or ),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,plain,
    ( ~ op_implies_or
    | ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ( op_implies_or
   => ! [X0,X1] : implies(X0,X1) = or(not(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_implies_or) ).

fof(f180,plain,
    ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
    inference(subsumption_resolution,[],[f108,f99]) ).

fof(f99,plain,
    op_and,
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    op_and,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_op_and) ).

fof(f108,plain,
    ! [X0,X1] :
      ( and(X0,X1) = not(or(not(X0),not(X1)))
      | ~ op_and ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ( ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1)))
    | ~ op_and ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( op_and
   => ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_and) ).

fof(f183,plain,
    ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
    inference(subsumption_resolution,[],[f121,f116]) ).

fof(f116,plain,
    op_or,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    op_or,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or) ).

fof(f121,plain,
    ! [X0,X1] :
      ( or(X0,X1) = not(and(not(X0),not(X1)))
      | ~ op_or ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
    | ~ op_or ),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ( ! [X1,X0] : or(X1,X0) = not(and(not(X1),not(X0)))
    | ~ op_or ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ( op_or
   => ! [X1,X0] : or(X1,X0) = not(and(not(X1),not(X0))) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ( op_or
   => ! [X1,X0] : or(X0,X1) = not(and(not(X0),not(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',op_or) ).

fof(f271,plain,
    ( ! [X0,X1] : is_a_theorem(or(implies(X0,not(X1)),X1))
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_9 ),
    inference(resolution,[],[f267,f190]) ).

fof(f190,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(or(X1,X0))
        | is_a_theorem(or(X0,X1)) )
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(resolution,[],[f134,f130]) ).

fof(f130,plain,
    ( ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | is_a_theorem(X1)
        | ~ is_a_theorem(X0) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl2_2
  <=> ! [X0,X1] :
        ( ~ is_a_theorem(implies(X0,X1))
        | ~ is_a_theorem(X0)
        | is_a_theorem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f134,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X1,X0),or(X0,X1)))
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl2_3
  <=> ! [X0,X1] : is_a_theorem(implies(or(X1,X0),or(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f267,plain,
    ( ! [X12,X13] : is_a_theorem(or(X12,implies(X13,not(X12))))
    | ~ spl2_9 ),
    inference(superposition,[],[f194,f239]) ).

fof(f239,plain,
    ! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
    inference(superposition,[],[f178,f183]) ).

fof(f194,plain,
    ( ! [X6,X7] : is_a_theorem(implies(X7,implies(X6,X7)))
    | ~ spl2_9 ),
    inference(superposition,[],[f162,f179]) ).

fof(f162,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl2_9
  <=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f185,plain,
    spl2_10,
    inference(avatar_split_clause,[],[f120,f164]) ).

fof(f164,plain,
    ( spl2_10
  <=> r2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f120,plain,
    r2,
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    r2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r2) ).

fof(f184,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f117,f125]) ).

fof(f125,plain,
    ( spl2_1
  <=> modus_ponens ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f117,plain,
    modus_ponens,
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    modus_ponens,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_modus_ponens) ).

fof(f177,plain,
    ~ spl2_7,
    inference(avatar_split_clause,[],[f98,f152]) ).

fof(f152,plain,
    ( spl2_7
  <=> equivalence_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f98,plain,
    ~ equivalence_2,
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ~ equivalence_2,
    inference(flattening,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ equivalence_2,
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    equivalence_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_equivalence_2) ).

fof(f167,plain,
    ( spl2_9
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f110,f164,f161]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ r2
      | is_a_theorem(implies(X1,or(X0,X1))) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
    | ~ r2 ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ( ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0)))
    | ~ r2 ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ( r2
   => ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0))) ),
    inference(unused_predicate_definition_removal,[],[f65]) ).

fof(f65,plain,
    ( r2
  <=> ! [X1,X0] : is_a_theorem(implies(X0,or(X1,X0))) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ( r2
  <=> ! [X4,X3] : is_a_theorem(implies(X4,or(X3,X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2) ).

fof(f159,plain,
    ( spl2_7
    | ~ spl2_8 ),
    inference(avatar_split_clause,[],[f102,f156,f152]) ).

fof(f102,plain,
    ( ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0)))
    | equivalence_2 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0)))
    | equivalence_2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f85,f90]) ).

fof(f90,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
   => ~ is_a_theorem(implies(equiv(sK0,sK1),implies(sK1,sK0))) ),
    introduced(choice_axiom,[]) ).

fof(f85,plain,
    ( ? [X0,X1] : ~ is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
    | equivalence_2 ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ( ! [X1,X0] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
   => equivalence_2 ),
    inference(unused_predicate_definition_removal,[],[f14]) ).

fof(f14,axiom,
    ( ! [X1,X0] : is_a_theorem(implies(equiv(X0,X1),implies(X1,X0)))
  <=> equivalence_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalence_2) ).

fof(f149,plain,
    spl2_4,
    inference(avatar_split_clause,[],[f104,f136]) ).

fof(f136,plain,
    ( spl2_4
  <=> r3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f104,plain,
    r3,
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    r3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r3) ).

fof(f139,plain,
    ( spl2_3
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f103,f136,f133]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ r3
      | is_a_theorem(implies(or(X1,X0),or(X0,X1))) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X1,X0),or(X0,X1)))
    | ~ r3 ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ( r3
   => ! [X0,X1] : is_a_theorem(implies(or(X1,X0),or(X0,X1))) ),
    inference(unused_predicate_definition_removal,[],[f58]) ).

fof(f58,plain,
    ( ! [X0,X1] : is_a_theorem(implies(or(X1,X0),or(X0,X1)))
  <=> r3 ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ( ! [X4,X3] : is_a_theorem(implies(or(X3,X4),or(X4,X3)))
  <=> r3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3) ).

fof(f131,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f118,f129,f125]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ modus_ponens
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ~ modus_ponens
    | ! [X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(X1)
        | ~ is_a_theorem(implies(X0,X1)) ) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ( ~ modus_ponens
    | ! [X1,X0] :
        ( ~ is_a_theorem(X1)
        | is_a_theorem(X0)
        | ~ is_a_theorem(implies(X1,X0)) ) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ( ! [X0,X1] :
        ( is_a_theorem(X0)
        | ~ is_a_theorem(implies(X1,X0))
        | ~ is_a_theorem(X1) )
    | ~ modus_ponens ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ( modus_ponens
   => ! [X0,X1] :
        ( ( is_a_theorem(implies(X1,X0))
          & is_a_theorem(X1) )
       => is_a_theorem(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f52]) ).

fof(f52,plain,
    ( ! [X0,X1] :
        ( ( is_a_theorem(implies(X1,X0))
          & is_a_theorem(X1) )
       => is_a_theorem(X0) )
  <=> modus_ponens ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ( modus_ponens
  <=> ! [X1,X0] :
        ( ( is_a_theorem(implies(X0,X1))
          & is_a_theorem(X0) )
       => is_a_theorem(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL494+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 02:08:40 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  % (3465)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.50  % (3457)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.52  % (3449)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52  % (3440)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (3448)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52  % (3438)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53  % (3436)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53  % (3437)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (3459)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53  % (3461)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (3455)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (3458)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.54  % (3452)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54  % (3439)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (3462)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54  % (3443)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (3441)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54  % (3450)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54  % (3449)First to succeed.
% 0.21/0.54  % (3451)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.55  % (3453)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (3449)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Theorem for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (3449)------------------------------
% 0.21/0.55  % (3449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (3449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (3449)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (3449)Memory used [KB]: 5628
% 0.21/0.55  % (3449)Time elapsed: 0.110 s
% 0.21/0.55  % (3449)Instructions burned: 8 (million)
% 0.21/0.55  % (3449)------------------------------
% 0.21/0.55  % (3449)------------------------------
% 0.21/0.55  % (3435)Success in time 0.183 s
%------------------------------------------------------------------------------