TSTP Solution File: GEO331+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n016.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 16:12:42 EDT 2022

% Result   : Theorem 2.28s 0.69s
% Output   : Refutation 2.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   65 (  25 unt;   0 def)
%            Number of atoms       :  337 ( 212 equ)
%            Maximal formula atoms :   13 (   5 avg)
%            Number of connectives :  426 ( 154   ~; 211   |;  50   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :  116 (  96   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2019,plain,
    $false,
    inference(subsumption_resolution,[],[f2018,f952]) ).

fof(f952,plain,
    sK14 != sK21,
    inference(definition_unfolding,[],[f877,f769,f800]) ).

fof(f800,plain,
    vd1354 = sK21,
    inference(cnf_transformation,[],[f566]) ).

fof(f566,plain,
    ( vd1354 = sK21
    & rpoint(sK21) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f7,f565]) ).

fof(f565,plain,
    ( ? [X0] :
        ( vd1354 = X0
        & rpoint(X0) )
   => ( vd1354 = sK21
      & rpoint(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,axiom,
    ? [X0] :
      ( vd1354 = X0
      & rpoint(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).

fof(f769,plain,
    vd1352 = sK14,
    inference(cnf_transformation,[],[f540]) ).

fof(f540,plain,
    ( vd1352 = sK14
    & rpoint(sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f180,f539]) ).

fof(f539,plain,
    ( ? [X0] :
        ( vd1352 = X0
        & rpoint(X0) )
   => ( vd1352 = sK14
      & rpoint(sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f180,plain,
    ? [X0] :
      ( vd1352 = X0
      & rpoint(X0) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ? [X2] :
      ( vd1352 = X2
      & rpoint(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).

fof(f877,plain,
    vd1352 != vd1354,
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    vd1352 != vd1354,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 8)') ).

fof(f2018,plain,
    sK14 = sK21,
    inference(subsumption_resolution,[],[f2017,f946]) ).

fof(f946,plain,
    sK14 != sK50,
    inference(definition_unfolding,[],[f742,f769,f932]) ).

fof(f932,plain,
    vd1353 = sK50,
    inference(cnf_transformation,[],[f672]) ).

fof(f672,plain,
    ( vd1353 = sK50
    & rpoint(sK50) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f159,f671]) ).

fof(f671,plain,
    ( ? [X0] :
        ( vd1353 = X0
        & rpoint(X0) )
   => ( vd1353 = sK50
      & rpoint(sK50) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ? [X0] :
      ( vd1353 = X0
      & rpoint(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ? [X1] :
      ( vd1353 = X1
      & rpoint(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).

fof(f742,plain,
    vd1352 != vd1353,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    vd1352 != vd1353,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 7)') ).

fof(f2017,plain,
    ( sK14 = sK50
    | sK14 = sK21 ),
    inference(subsumption_resolution,[],[f2016,f947]) ).

fof(f947,plain,
    sK21 != sK50,
    inference(definition_unfolding,[],[f762,f932,f800]) ).

fof(f762,plain,
    vd1353 != vd1354,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    vd1353 != vd1354,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(383, 9)') ).

fof(f2016,plain,
    ( sK21 = sK50
    | sK14 = sK21
    | sK14 = sK50 ),
    inference(subsumption_resolution,[],[f2015,f768]) ).

fof(f768,plain,
    rpoint(sK14),
    inference(cnf_transformation,[],[f540]) ).

fof(f2015,plain,
    ( ~ rpoint(sK14)
    | sK14 = sK50
    | sK14 = sK21
    | sK21 = sK50 ),
    inference(subsumption_resolution,[],[f2014,f954]) ).

fof(f954,plain,
    vf(sK14,sK50) != vf(sK14,sK21),
    inference(definition_unfolding,[],[f929,f769,f932,f769,f800]) ).

fof(f929,plain,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(cnf_transformation,[],[f139]) ).

fof(f139,plain,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    vf(vd1352,vd1353) != vf(vd1352,vd1354),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    vf(vd1352,vd1353) = vf(vd1352,vd1354),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(384, 1360, 0)') ).

fof(f2014,plain,
    ( vf(sK14,sK50) = vf(sK14,sK21)
    | sK21 = sK50
    | sK14 = sK50
    | ~ rpoint(sK14)
    | sK14 = sK21 ),
    inference(subsumption_resolution,[],[f2013,f799]) ).

fof(f799,plain,
    rpoint(sK21),
    inference(cnf_transformation,[],[f566]) ).

fof(f2013,plain,
    ( ~ rpoint(sK21)
    | sK14 = sK21
    | ~ rpoint(sK14)
    | sK14 = sK50
    | vf(sK14,sK50) = vf(sK14,sK21)
    | sK21 = sK50 ),
    inference(subsumption_resolution,[],[f2012,f931]) ).

fof(f931,plain,
    rpoint(sK50),
    inference(cnf_transformation,[],[f672]) ).

fof(f2012,plain,
    ( ~ rpoint(sK50)
    | sK21 = sK50
    | ~ rpoint(sK14)
    | ~ rpoint(sK21)
    | sK14 = sK21
    | vf(sK14,sK50) = vf(sK14,sK21)
    | sK14 = sK50 ),
    inference(trivial_inequality_removal,[],[f2007]) ).

fof(f2007,plain,
    ( vf(sK14,sK50) = vf(sK14,sK21)
    | sK14 = sK21
    | ~ rpoint(sK14)
    | sK14 = sK50
    | vangle(sK14,sK21,sK50) != vangle(sK14,sK21,sK50)
    | ~ rpoint(sK21)
    | sK21 = sK50
    | ~ rpoint(sK50) ),
    inference(superposition,[],[f1859,f948]) ).

fof(f948,plain,
    vangle(sK14,sK50,sK21) = vangle(sK14,sK21,sK50),
    inference(definition_unfolding,[],[f810,f769,f932,f800,f769,f800,f932]) ).

fof(f810,plain,
    vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(383, 1356, 0)') ).

fof(f1859,plain,
    ! [X3,X4,X5] :
      ( vangle(X4,X3,X5) != vangle(X4,X5,X3)
      | ~ rpoint(X4)
      | vf(X4,X3) = vf(X4,X5)
      | ~ rpoint(X3)
      | X4 = X5
      | X3 = X5
      | ~ rpoint(X5)
      | X3 = X4 ),
    inference(subsumption_resolution,[],[f1858,f1795]) ).

fof(f1795,plain,
    ! [X3,X4,X5] :
      ( X3 = X4
      | X4 = X5
      | vf(X4,X3) = vf(X4,X5)
      | vangle(X4,X3,X5) != vangle(X4,X5,X3)
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | rless(vf(X4,X5),vf(X4,X3))
      | X3 = X5 ),
    inference(consistent_polarity_flipping,[],[f1180]) ).

fof(f1180,plain,
    ! [X3,X4,X5] :
      ( ~ rpoint(X5)
      | ~ rless(vf(X4,X5),vf(X4,X3))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | vf(X4,X3) = vf(X4,X5)
      | X4 = X5
      | X3 = X4
      | X3 = X5
      | vangle(X4,X3,X5) != vangle(X4,X5,X3) ),
    inference(equality_resolution,[],[f1179]) ).

fof(f1179,plain,
    ! [X3,X1,X4,X5] :
      ( ~ rpoint(X3)
      | vf(X4,X3) = vf(X4,X1)
      | X1 = X4
      | ~ rless(vf(X4,X1),vf(X4,X3))
      | ~ rpoint(X4)
      | vangle(X4,X1,X3) != vangle(X4,X3,X1)
      | X3 = X4
      | X1 = X3
      | X1 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1178]) ).

fof(f1178,plain,
    ! [X3,X0,X1,X4,X5] :
      ( ~ rpoint(X3)
      | vf(X0,X3) = vf(X0,X1)
      | X0 = X1
      | ~ rless(vf(X0,X1),vf(X0,X3))
      | ~ rpoint(X4)
      | X0 != X4
      | vangle(X0,X1,X3) != vangle(X0,X3,X1)
      | X0 = X3
      | X1 = X3
      | X1 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f747]) ).

fof(f747,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X2 != X3
      | ~ rpoint(X3)
      | vf(X0,X2) = vf(X0,X1)
      | X0 = X1
      | ~ rless(vf(X0,X1),vf(X0,X2))
      | ~ rpoint(X4)
      | X0 != X4
      | vangle(X0,X1,X2) != vangle(X0,X2,X1)
      | X0 = X2
      | X1 = X2
      | X1 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f521]) ).

fof(f521,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( X2 != X3
          | ~ rpoint(X3) )
      | vf(X0,X2) = vf(X0,X1)
      | X0 = X1
      | ~ rless(vf(X0,X1),vf(X0,X2))
      | ! [X4] :
          ( ~ rpoint(X4)
          | X0 != X4 )
      | vangle(X0,X1,X2) != vangle(X0,X2,X1)
      | X0 = X2
      | X1 = X2
      | ! [X5] :
          ( X1 != X5
          | ~ rpoint(X5) ) ),
    inference(rectify,[],[f317]) ).

fof(f317,plain,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) )
      | vf(X1,X2) = vf(X1,X0)
      | X1 = X2
      | ~ rless(vf(X1,X2),vf(X1,X0))
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 )
      | vangle(X1,X0,X2) != vangle(X1,X2,X0)
      | X0 = X1
      | X0 = X2
      | ! [X4] :
          ( X2 != X4
          | ~ rpoint(X4) ) ),
    inference(flattening,[],[f316]) ).

fof(f316,plain,
    ! [X2,X0,X1] :
      ( ~ rless(vf(X1,X2),vf(X1,X0))
      | vf(X1,X2) = vf(X1,X0)
      | vangle(X1,X0,X2) != vangle(X1,X2,X0)
      | ! [X4] :
          ( X2 != X4
          | ~ rpoint(X4) )
      | X0 = X2
      | ! [X3] :
          ( X0 != X3
          | ~ rpoint(X3) )
      | X1 = X2
      | X0 = X1
      | ! [X5] :
          ( ~ rpoint(X5)
          | X1 != X5 ) ),
    inference(ennf_transformation,[],[f201]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( ( vangle(X1,X0,X2) = vangle(X1,X2,X0)
        & ? [X4] :
            ( X2 = X4
            & rpoint(X4) )
        & X0 != X2
        & ? [X3] :
            ( rpoint(X3)
            & X0 = X3 )
        & X1 != X2
        & X0 != X1
        & ? [X5] :
            ( rpoint(X5)
            & X1 = X5 ) )
     => ( vf(X1,X2) != vf(X1,X0)
       => ~ rless(vf(X1,X2),vf(X1,X0)) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X4,X3,X5] :
      ( ( X4 != X5
        & X3 != X5
        & vangle(X3,X4,X5) = vangle(X3,X5,X4)
        & ? [X7] :
            ( X4 = X7
            & rpoint(X7) )
        & X3 != X4
        & ? [X6] :
            ( X5 = X6
            & rpoint(X6) )
        & ? [X8] :
            ( X3 = X8
            & rpoint(X8) ) )
     => ( vf(X3,X4) != vf(X3,X5)
       => ~ rless(vf(X3,X5),vf(X3,X4)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 2)') ).

fof(f1858,plain,
    ! [X3,X4,X5] :
      ( X4 = X5
      | ~ rless(vf(X4,X3),vf(X4,X5))
      | ~ rpoint(X4)
      | ~ rpoint(X5)
      | ~ rpoint(X3)
      | X3 = X4
      | vf(X4,X3) = vf(X4,X5)
      | X3 = X5
      | vangle(X4,X3,X5) != vangle(X4,X5,X3) ),
    inference(subsumption_resolution,[],[f1766,f1795]) ).

fof(f1766,plain,
    ! [X3,X4,X5] :
      ( X3 = X4
      | vf(X4,X3) = vf(X4,X5)
      | ~ rless(vf(X4,X5),vf(X4,X3))
      | ~ rpoint(X3)
      | vangle(X4,X3,X5) != vangle(X4,X5,X3)
      | X4 = X5
      | ~ rpoint(X5)
      | X3 = X5
      | ~ rless(vf(X4,X3),vf(X4,X5))
      | ~ rpoint(X4) ),
    inference(consistent_polarity_flipping,[],[f1718]) ).

fof(f1718,plain,
    ! [X3,X4,X5] :
      ( X4 = X5
      | X3 = X5
      | rless(vf(X4,X3),vf(X4,X5))
      | ~ rpoint(X3)
      | ~ rpoint(X5)
      | vf(X4,X3) = vf(X4,X5)
      | rless(vf(X4,X5),vf(X4,X3))
      | X3 = X4
      | ~ rpoint(X4)
      | vangle(X4,X3,X5) != vangle(X4,X5,X3) ),
    inference(equality_resolution,[],[f1717]) ).

fof(f1717,plain,
    ! [X3,X1,X4,X5] :
      ( rless(vf(X4,X3),vf(X4,X1))
      | rless(vf(X4,X1),vf(X4,X3))
      | ~ rpoint(X3)
      | vangle(X4,X1,X3) != vangle(X4,X3,X1)
      | X1 = X3
      | ~ rpoint(X4)
      | vf(X4,X3) = vf(X4,X1)
      | X3 = X4
      | X1 = X4
      | X1 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f1716]) ).

fof(f1716,plain,
    ! [X3,X0,X1,X4,X5] :
      ( rless(vf(X0,X3),vf(X0,X1))
      | rless(vf(X0,X1),vf(X0,X3))
      | ~ rpoint(X3)
      | vangle(X0,X1,X3) != vangle(X0,X3,X1)
      | X1 = X3
      | X0 != X4
      | ~ rpoint(X4)
      | vf(X0,X3) = vf(X0,X1)
      | X0 = X3
      | X0 = X1
      | X1 != X5
      | ~ rpoint(X5) ),
    inference(equality_resolution,[],[f934]) ).

fof(f934,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( rless(vf(X0,X2),vf(X0,X1))
      | rless(vf(X0,X1),vf(X0,X2))
      | ~ rpoint(X3)
      | X2 != X3
      | vangle(X0,X1,X2) != vangle(X0,X2,X1)
      | X1 = X2
      | X0 != X4
      | ~ rpoint(X4)
      | vf(X0,X2) = vf(X0,X1)
      | X0 = X2
      | X0 = X1
      | X1 != X5
      | ~ rpoint(X5) ),
    inference(cnf_transformation,[],[f674]) ).

fof(f674,plain,
    ! [X0,X1,X2] :
      ( rless(vf(X0,X2),vf(X0,X1))
      | rless(vf(X0,X1),vf(X0,X2))
      | ! [X3] :
          ( ~ rpoint(X3)
          | X2 != X3 )
      | vangle(X0,X1,X2) != vangle(X0,X2,X1)
      | X1 = X2
      | ! [X4] :
          ( X0 != X4
          | ~ rpoint(X4) )
      | vf(X0,X2) = vf(X0,X1)
      | X0 = X2
      | X0 = X1
      | ! [X5] :
          ( X1 != X5
          | ~ rpoint(X5) ) ),
    inference(rectify,[],[f409]) ).

fof(f409,plain,
    ! [X1,X2,X0] :
      ( rless(vf(X1,X0),vf(X1,X2))
      | rless(vf(X1,X2),vf(X1,X0))
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | vangle(X1,X0,X2) != vangle(X1,X2,X0)
      | X0 = X2
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | vf(X1,X2) = vf(X1,X0)
      | X0 = X1
      | X1 = X2
      | ! [X5] :
          ( X2 != X5
          | ~ rpoint(X5) ) ),
    inference(flattening,[],[f408]) ).

fof(f408,plain,
    ! [X0,X1,X2] :
      ( rless(vf(X1,X0),vf(X1,X2))
      | rless(vf(X1,X2),vf(X1,X0))
      | vf(X1,X2) = vf(X1,X0)
      | X0 = X2
      | ! [X5] :
          ( X2 != X5
          | ~ rpoint(X5) )
      | vangle(X1,X0,X2) != vangle(X1,X2,X0)
      | X1 = X2
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( X1 != X4
          | ~ rpoint(X4) )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f227]) ).

fof(f227,plain,
    ! [X0,X1,X2] :
      ( ( X0 != X2
        & ? [X5] :
            ( rpoint(X5)
            & X2 = X5 )
        & vangle(X1,X0,X2) = vangle(X1,X2,X0)
        & X1 != X2
        & ? [X3] :
            ( rpoint(X3)
            & X0 = X3 )
        & ? [X4] :
            ( rpoint(X4)
            & X1 = X4 )
        & X0 != X1 )
     => ( vf(X1,X2) != vf(X1,X0)
       => ( rless(vf(X1,X0),vf(X1,X2))
          | rless(vf(X1,X2),vf(X1,X0)) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X5,X3,X4] :
      ( ( ? [X6] :
            ( X5 = X6
            & rpoint(X6) )
        & X3 != X5
        & X3 != X4
        & ? [X8] :
            ( rpoint(X8)
            & X3 = X8 )
        & vangle(X3,X4,X5) = vangle(X3,X5,X4)
        & X4 != X5
        & ? [X7] :
            ( rpoint(X7)
            & X4 = X7 ) )
     => ( vf(X3,X4) != vf(X3,X5)
       => ( rless(vf(X3,X4),vf(X3,X5))
          | rless(vf(X3,X5),vf(X3,X4)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % 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 : n016.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   : Mon Aug 29 22:02:15 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.52  % (20958)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)
% 0.21/0.52  % (20950)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)
% 0.21/0.52  % (20939)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)
% 0.21/0.52  % (20951)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)
% 0.21/0.52  % (20959)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  % (20943)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (20942)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (20943)Instruction limit reached!
% 0.21/0.54  % (20943)------------------------------
% 0.21/0.54  % (20943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (20943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54  % (20940)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.54  % (20943)Termination reason: Unknown
% 1.42/0.54  % (20943)Termination phase: Preprocessing 2
% 1.42/0.54  
% 1.42/0.54  % (20943)Memory used [KB]: 2686
% 1.42/0.54  % (20943)Time elapsed: 0.007 s
% 1.42/0.54  % (20943)Instructions burned: 8 (million)
% 1.42/0.54  % (20943)------------------------------
% 1.42/0.54  % (20943)------------------------------
% 1.42/0.54  % (20938)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)
% 1.42/0.54  % (20961)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.54  % (20941)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)
% 1.42/0.55  % (20937)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)
% 1.42/0.55  % (20949)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55  % (20962)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)
% 1.42/0.55  % (20963)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.42/0.55  % (20965)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)
% 1.42/0.55  % (20954)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.42/0.55  % (20955)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)
% 1.42/0.55  % (20953)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.55  % (20960)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.56  % (20957)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.56  % (20964)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.52/0.56  % (20936)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)
% 1.52/0.56  % (20947)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.56  % (20948)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.52/0.56  % (20945)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.56  % (20946)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.52/0.56  % (20956)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.52/0.57  % (20952)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)
% 1.52/0.58  % (20944)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.52/0.58  % (20944)Instruction limit reached!
% 1.52/0.58  % (20944)------------------------------
% 1.52/0.58  % (20944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.58  % (20944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.58  % (20944)Termination reason: Unknown
% 1.52/0.58  % (20944)Termination phase: Preprocessing 1
% 1.52/0.58  
% 1.52/0.58  % (20944)Memory used [KB]: 1407
% 1.52/0.58  % (20944)Time elapsed: 0.002 s
% 1.52/0.58  % (20944)Instructions burned: 2 (million)
% 1.52/0.58  % (20944)------------------------------
% 1.52/0.58  % (20944)------------------------------
% 1.52/0.60  % (20938)Instruction limit reached!
% 1.52/0.60  % (20938)------------------------------
% 1.52/0.60  % (20938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.60  % (20938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.60  % (20938)Termination reason: Unknown
% 1.52/0.60  % (20938)Termination phase: Saturation
% 1.52/0.60  
% 1.52/0.60  % (20938)Memory used [KB]: 3582
% 1.52/0.60  % (20938)Time elapsed: 0.020 s
% 1.52/0.60  % (20938)Instructions burned: 38 (million)
% 1.52/0.60  % (20938)------------------------------
% 1.52/0.60  % (20938)------------------------------
% 1.52/0.60  % (20939)Instruction limit reached!
% 1.52/0.60  % (20939)------------------------------
% 1.52/0.60  % (20939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.60  % (20939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.60  % (20939)Termination reason: Unknown
% 1.52/0.60  % (20939)Termination phase: Saturation
% 1.52/0.60  
% 1.52/0.60  % (20939)Memory used [KB]: 8187
% 1.52/0.60  % (20939)Time elapsed: 0.024 s
% 1.52/0.60  % (20939)Instructions burned: 51 (million)
% 1.52/0.60  % (20939)------------------------------
% 1.52/0.60  % (20939)------------------------------
% 1.52/0.61  % (20942)Instruction limit reached!
% 1.52/0.61  % (20942)------------------------------
% 1.52/0.61  % (20942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61  % (20942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61  % (20942)Termination reason: Unknown
% 1.52/0.61  % (20942)Termination phase: Finite model building preprocessing
% 1.52/0.61  
% 1.52/0.61  % (20942)Memory used [KB]: 3709
% 1.52/0.61  % (20942)Time elapsed: 0.028 s
% 1.52/0.61  % (20942)Instructions burned: 52 (million)
% 1.52/0.61  % (20942)------------------------------
% 1.52/0.61  % (20942)------------------------------
% 1.52/0.62  % (20940)Instruction limit reached!
% 1.52/0.62  % (20940)------------------------------
% 1.52/0.62  % (20940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.62  % (20940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.62  % (20940)Termination reason: Unknown
% 1.52/0.62  % (20940)Termination phase: Saturation
% 1.52/0.62  
% 1.52/0.62  % (20940)Memory used [KB]: 8187
% 1.52/0.62  % (20940)Time elapsed: 0.027 s
% 1.52/0.62  % (20940)Instructions burned: 53 (million)
% 1.52/0.62  % (20940)------------------------------
% 1.52/0.62  % (20940)------------------------------
% 2.01/0.63  % (20941)Instruction limit reached!
% 2.01/0.63  % (20941)------------------------------
% 2.01/0.63  % (20941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63  % (20941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63  % (20941)Termination reason: Unknown
% 2.01/0.63  % (20941)Termination phase: Saturation
% 2.01/0.63  
% 2.01/0.63  % (20941)Memory used [KB]: 8315
% 2.01/0.63  % (20941)Time elapsed: 0.211 s
% 2.01/0.63  % (20941)Instructions burned: 49 (million)
% 2.01/0.63  % (20941)------------------------------
% 2.01/0.63  % (20941)------------------------------
% 2.01/0.63  % (20937)Instruction limit reached!
% 2.01/0.63  % (20937)------------------------------
% 2.01/0.63  % (20937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63  % (20937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63  % (20937)Termination reason: Unknown
% 2.01/0.63  % (20937)Termination phase: Saturation
% 2.01/0.63  
% 2.01/0.63  % (20937)Memory used [KB]: 8187
% 2.01/0.63  % (20937)Time elapsed: 0.026 s
% 2.01/0.63  % (20937)Instructions burned: 51 (million)
% 2.01/0.63  % (20937)------------------------------
% 2.01/0.63  % (20937)------------------------------
% 2.01/0.63  % (20950)Instruction limit reached!
% 2.01/0.63  % (20950)------------------------------
% 2.01/0.63  % (20950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.63  % (20950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63  % (20950)Termination reason: Unknown
% 2.01/0.63  % (20950)Termination phase: Saturation
% 2.01/0.63  
% 2.01/0.63  % (20950)Memory used [KB]: 8955
% 2.01/0.63  % (20950)Time elapsed: 0.042 s
% 2.01/0.63  % (20950)Instructions burned: 69 (million)
% 2.01/0.63  % (20950)------------------------------
% 2.01/0.63  % (20950)------------------------------
% 2.01/0.64  % (20945)Instruction limit reached!
% 2.01/0.64  % (20945)------------------------------
% 2.01/0.64  % (20945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64  % (20945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64  % (20946)Instruction limit reached!
% 2.01/0.64  % (20946)------------------------------
% 2.01/0.64  % (20946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64  % (20945)Termination reason: Unknown
% 2.01/0.64  % (20945)Termination phase: Saturation
% 2.01/0.64  
% 2.01/0.64  % (20946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64  % (20946)Termination reason: Unknown
% 2.01/0.64  % (20946)Termination phase: Saturation
% 2.01/0.64  
% 2.01/0.64  % (20945)Memory used [KB]: 3582
% 2.01/0.64  % (20945)Time elapsed: 0.025 s
% 2.01/0.64  % (20945)Instructions burned: 53 (million)
% 2.01/0.64  % (20946)Memory used [KB]: 8187
% 2.01/0.64  % (20945)------------------------------
% 2.01/0.64  % (20945)------------------------------
% 2.01/0.64  % (20946)Time elapsed: 0.025 s
% 2.01/0.64  % (20946)Instructions burned: 50 (million)
% 2.01/0.64  % (20946)------------------------------
% 2.01/0.64  % (20946)------------------------------
% 2.01/0.65  % (20953)Instruction limit reached!
% 2.01/0.65  % (20953)------------------------------
% 2.01/0.65  % (20953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.65  % (20953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.65  % (20953)Termination reason: Unknown
% 2.01/0.65  % (20953)Termination phase: Property scanning
% 2.01/0.65  
% 2.01/0.66  % (20953)Memory used [KB]: 3582
% 2.01/0.66  % (20953)Time elapsed: 0.028 s
% 2.01/0.66  % (20953)Instructions burned: 60 (million)
% 2.01/0.66  % (20953)------------------------------
% 2.01/0.66  % (20953)------------------------------
% 2.28/0.67  % (20955)First to succeed.
% 2.28/0.67  % (20951)Instruction limit reached!
% 2.28/0.67  % (20951)------------------------------
% 2.28/0.67  % (20951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67  % (20951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67  % (20951)Termination reason: Unknown
% 2.28/0.67  % (20951)Termination phase: Saturation
% 2.28/0.67  
% 2.28/0.67  % (20951)Memory used [KB]: 3965
% 2.28/0.67  % (20951)Time elapsed: 0.246 s
% 2.28/0.67  % (20951)Instructions burned: 76 (million)
% 2.28/0.67  % (20951)------------------------------
% 2.28/0.67  % (20951)------------------------------
% 2.28/0.68  % (20966)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.28/0.68  % (20962)Instruction limit reached!
% 2.28/0.68  % (20962)------------------------------
% 2.28/0.68  % (20962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.68  % (20962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.68  % (20962)Termination reason: Unknown
% 2.28/0.68  % (20962)Termination phase: Saturation
% 2.28/0.68  
% 2.28/0.68  % (20962)Memory used [KB]: 8827
% 2.28/0.68  % (20962)Time elapsed: 0.036 s
% 2.28/0.68  % (20962)Instructions burned: 68 (million)
% 2.28/0.68  % (20962)------------------------------
% 2.28/0.68  % (20962)------------------------------
% 2.28/0.69  % (20955)Refutation found. Thanks to Tanya!
% 2.28/0.69  % SZS status Theorem for theBenchmark
% 2.28/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.28/0.69  % (20955)------------------------------
% 2.28/0.69  % (20955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.69  % (20955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.69  % (20955)Termination reason: Refutation
% 2.28/0.69  
% 2.28/0.69  % (20955)Memory used [KB]: 3709
% 2.28/0.69  % (20955)Time elapsed: 0.239 s
% 2.28/0.69  % (20955)Instructions burned: 70 (million)
% 2.28/0.69  % (20955)------------------------------
% 2.28/0.69  % (20955)------------------------------
% 2.28/0.69  % (20935)Success in time 0.326 s
%------------------------------------------------------------------------------