TSTP Solution File: PRO012+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PRO012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n010.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 18:10:13 EDT 2022

% Result   : Theorem 2.28s 0.65s
% Output   : Refutation 2.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  121 (  28 unt;   0 def)
%            Number of atoms       :  434 (  31 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  469 ( 156   ~; 159   |; 119   &)
%                                         (   5 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :  251 ( 210   !;  41   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1322,plain,
    $false,
    inference(subsumption_resolution,[],[f1321,f1312]) ).

fof(f1312,plain,
    ~ occurrence_of(sK12(sK14),tptp2),
    inference(subsumption_resolution,[],[f1311,f263]) ).

fof(f263,plain,
    root_occ(sK11(sK14),sK14),
    inference(unit_resulting_resolution,[],[f258,f249]) ).

fof(f249,plain,
    ! [X0] :
      ( root_occ(sK11(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ( root_occ(sK11(X0),X0)
        & ! [X4] :
            ( sK12(X0) = X4
            | ~ min_precedes(sK11(X0),X4,tptp0)
            | sK10(X0) = X4 )
        & occurrence_of(sK11(X0),tptp3)
        & min_precedes(sK11(X0),sK10(X0),tptp0)
        & occurrence_of(sK10(X0),tptp4)
        & ( occurrence_of(sK12(X0),tptp2)
          | occurrence_of(sK12(X0),tptp1) )
        & min_precedes(sK10(X0),sK12(X0),tptp0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f173,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( root_occ(X2,X0)
          & ! [X4] :
              ( X3 = X4
              | ~ min_precedes(X2,X4,tptp0)
              | X1 = X4 )
          & occurrence_of(X2,tptp3)
          & min_precedes(X2,X1,tptp0)
          & occurrence_of(X1,tptp4)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X1,X3,tptp0) )
     => ( root_occ(sK11(X0),X0)
        & ! [X4] :
            ( sK12(X0) = X4
            | ~ min_precedes(sK11(X0),X4,tptp0)
            | sK10(X0) = X4 )
        & occurrence_of(sK11(X0),tptp3)
        & min_precedes(sK11(X0),sK10(X0),tptp0)
        & occurrence_of(sK10(X0),tptp4)
        & ( occurrence_of(sK12(X0),tptp2)
          | occurrence_of(sK12(X0),tptp1) )
        & min_precedes(sK10(X0),sK12(X0),tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ? [X1,X2,X3] :
          ( root_occ(X2,X0)
          & ! [X4] :
              ( X3 = X4
              | ~ min_precedes(X2,X4,tptp0)
              | X1 = X4 )
          & occurrence_of(X2,tptp3)
          & min_precedes(X2,X1,tptp0)
          & occurrence_of(X1,tptp4)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X1,X3,tptp0) ) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ? [X2,X1,X3] :
          ( root_occ(X1,X0)
          & ! [X4] :
              ( X3 = X4
              | ~ min_precedes(X1,X4,tptp0)
              | X2 = X4 )
          & occurrence_of(X1,tptp3)
          & min_precedes(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X2,X3,tptp0) ) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ? [X1,X3,X2] :
          ( occurrence_of(X1,tptp3)
          & ! [X4] :
              ( X3 = X4
              | X2 = X4
              | ~ min_precedes(X1,X4,tptp0) )
          & root_occ(X1,X0)
          & min_precedes(X2,X3,tptp0)
          & min_precedes(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) ) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X3,X2] :
          ( occurrence_of(X1,tptp3)
          & ! [X4] :
              ( min_precedes(X1,X4,tptp0)
             => ( X3 = X4
                | X2 = X4 ) )
          & root_occ(X1,X0)
          & min_precedes(X2,X3,tptp0)
          & min_precedes(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) ) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X105] :
      ( occurrence_of(X105,tptp0)
     => ? [X106,X107,X108] :
          ( root_occ(X106,X105)
          & min_precedes(X107,X108,tptp0)
          & min_precedes(X106,X107,tptp0)
          & occurrence_of(X106,tptp3)
          & ( occurrence_of(X108,tptp1)
            | occurrence_of(X108,tptp2) )
          & ! [X109] :
              ( min_precedes(X106,X109,tptp0)
             => ( X108 = X109
                | X107 = X109 ) )
          & occurrence_of(X107,tptp4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).

fof(f258,plain,
    occurrence_of(sK14,tptp0),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ( occurrence_of(sK14,tptp0)
    & ! [X1,X2] :
        ( ~ min_precedes(X1,X2,tptp0)
        | ( ~ occurrence_of(X2,tptp2)
          & ~ occurrence_of(X2,tptp1) )
        | ~ root_occ(X1,sK14)
        | ~ occurrence_of(X1,tptp3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f99,f181]) ).

fof(f181,plain,
    ( ? [X0] :
        ( occurrence_of(X0,tptp0)
        & ! [X1,X2] :
            ( ~ min_precedes(X1,X2,tptp0)
            | ( ~ occurrence_of(X2,tptp2)
              & ~ occurrence_of(X2,tptp1) )
            | ~ root_occ(X1,X0)
            | ~ occurrence_of(X1,tptp3) ) )
   => ( occurrence_of(sK14,tptp0)
      & ! [X2,X1] :
          ( ~ min_precedes(X1,X2,tptp0)
          | ( ~ occurrence_of(X2,tptp2)
            & ~ occurrence_of(X2,tptp1) )
          | ~ root_occ(X1,sK14)
          | ~ occurrence_of(X1,tptp3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( occurrence_of(X0,tptp0)
      & ! [X1,X2] :
          ( ~ min_precedes(X1,X2,tptp0)
          | ( ~ occurrence_of(X2,tptp2)
            & ~ occurrence_of(X2,tptp1) )
          | ~ root_occ(X1,X0)
          | ~ occurrence_of(X1,tptp3) ) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ~ ! [X0] :
        ( occurrence_of(X0,tptp0)
       => ? [X2,X1] :
            ( root_occ(X1,X0)
            & ( occurrence_of(X2,tptp2)
              | occurrence_of(X2,tptp1) )
            & min_precedes(X1,X2,tptp0)
            & occurrence_of(X1,tptp3) ) ),
    inference(rectify,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X110] :
        ( occurrence_of(X110,tptp0)
       => ? [X111,X112] :
            ( occurrence_of(X111,tptp3)
            & ( occurrence_of(X112,tptp1)
              | occurrence_of(X112,tptp2) )
            & min_precedes(X111,X112,tptp0)
            & root_occ(X111,X110) ) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X110] :
      ( occurrence_of(X110,tptp0)
     => ? [X111,X112] :
          ( occurrence_of(X111,tptp3)
          & ( occurrence_of(X112,tptp1)
            | occurrence_of(X112,tptp2) )
          & min_precedes(X111,X112,tptp0)
          & root_occ(X111,X110) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f1311,plain,
    ( ~ occurrence_of(sK12(sK14),tptp2)
    | ~ root_occ(sK11(sK14),sK14) ),
    inference(forward_demodulation,[],[f1310,f1225]) ).

fof(f1225,plain,
    sK11(sK14) = sK4(tptp0,sK12(sK14)),
    inference(unit_resulting_resolution,[],[f317,f922,f530,f515,f727,f343,f714,f227]) ).

fof(f227,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subactivity_occurrence(X3,X0)
      | X1 = X3
      | min_precedes(X3,X1,X2)
      | ~ arboreal(X1)
      | ~ occurrence_of(X0,X2)
      | ~ subactivity_occurrence(X1,X0)
      | min_precedes(X1,X3,X2)
      | ~ arboreal(X3) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X0,X1,X2,X3] :
      ( ~ arboreal(X1)
      | ~ occurrence_of(X0,X2)
      | X1 = X3
      | ~ subactivity_occurrence(X1,X0)
      | ~ arboreal(X3)
      | min_precedes(X3,X1,X2)
      | min_precedes(X1,X3,X2)
      | ~ subactivity_occurrence(X3,X0) ),
    inference(rectify,[],[f114]) ).

fof(f114,plain,
    ! [X2,X0,X3,X1] :
      ( ~ arboreal(X0)
      | ~ occurrence_of(X2,X3)
      | X0 = X1
      | ~ subactivity_occurrence(X0,X2)
      | ~ arboreal(X1)
      | min_precedes(X1,X0,X3)
      | min_precedes(X0,X1,X3)
      | ~ subactivity_occurrence(X1,X2) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X3,X1,X0,X2] :
      ( X0 = X1
      | min_precedes(X1,X0,X3)
      | min_precedes(X0,X1,X3)
      | ~ subactivity_occurrence(X1,X2)
      | ~ arboreal(X1)
      | ~ subactivity_occurrence(X0,X2)
      | ~ occurrence_of(X2,X3)
      | ~ arboreal(X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X3,X1,X0,X2] :
      ( ( subactivity_occurrence(X1,X2)
        & arboreal(X1)
        & subactivity_occurrence(X0,X2)
        & occurrence_of(X2,X3)
        & arboreal(X0) )
     => ( X0 = X1
        | min_precedes(X1,X0,X3)
        | min_precedes(X0,X1,X3) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X81,X82,X80,X79] :
      ( ( subactivity_occurrence(X82,X80)
        & arboreal(X82)
        & arboreal(X81)
        & subactivity_occurrence(X81,X80)
        & occurrence_of(X80,X79) )
     => ( min_precedes(X82,X81,X79)
        | min_precedes(X81,X82,X79)
        | X81 = X82 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).

fof(f714,plain,
    subactivity_occurrence(sK4(tptp0,sK12(sK14)),sK1(sK12(sK14),tptp0,sK10(sK14))),
    inference(unit_resulting_resolution,[],[f349,f343,f356,f214]) ).

fof(f214,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X2,X3,X0)
      | ~ subactivity_occurrence(X3,X1)
      | subactivity_occurrence(X2,X1)
      | ~ occurrence_of(X1,X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subactivity_occurrence(X3,X1)
      | ~ occurrence_of(X1,X0)
      | ~ min_precedes(X2,X3,X0)
      | subactivity_occurrence(X2,X1) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X2,X3,X0,X1] :
      ( subactivity_occurrence(X2,X1)
      | ~ occurrence_of(X1,X0)
      | ~ subactivity_occurrence(X3,X1)
      | ~ min_precedes(X2,X3,X0) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X2,X3,X0,X1] :
      ( ( occurrence_of(X1,X0)
        & subactivity_occurrence(X3,X1)
        & min_precedes(X2,X3,X0) )
     => subactivity_occurrence(X2,X1) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X85,X86,X83,X84] :
      ( ( occurrence_of(X86,X85)
        & min_precedes(X83,X84,X85)
        & subactivity_occurrence(X84,X86) )
     => subactivity_occurrence(X83,X86) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).

fof(f356,plain,
    subactivity_occurrence(sK12(sK14),sK1(sK12(sK14),tptp0,sK10(sK14))),
    inference(resolution,[],[f259,f188]) ).

fof(f188,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X2,X0,X1)
      | subactivity_occurrence(X0,sK1(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X2,X0,X1)
      | ( subactivity_occurrence(X2,sK1(X0,X1,X2))
        & occurrence_of(sK1(X0,X1,X2),X1)
        & subactivity_occurrence(X0,sK1(X0,X1,X2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f136,f137]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & occurrence_of(X3,X1)
          & subactivity_occurrence(X0,X3) )
     => ( subactivity_occurrence(X2,sK1(X0,X1,X2))
        & occurrence_of(sK1(X0,X1,X2),X1)
        & subactivity_occurrence(X0,sK1(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X2,X0,X1)
      | ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & occurrence_of(X3,X1)
          & subactivity_occurrence(X0,X3) ) ),
    inference(rectify,[],[f120]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | ? [X3] :
          ( subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0)
          & subactivity_occurrence(X2,X3) ) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0)
          & subactivity_occurrence(X2,X3) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X69,X70,X71] :
      ( min_precedes(X70,X71,X69)
     => ? [X72] :
          ( occurrence_of(X72,X69)
          & subactivity_occurrence(X70,X72)
          & subactivity_occurrence(X71,X72) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).

fof(f259,plain,
    min_precedes(sK10(sK14),sK12(sK14),tptp0),
    inference(unit_resulting_resolution,[],[f258,f243]) ).

fof(f243,plain,
    ! [X0] :
      ( min_precedes(sK10(X0),sK12(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f349,plain,
    min_precedes(sK4(tptp0,sK12(sK14)),sK12(sK14),tptp0),
    inference(unit_resulting_resolution,[],[f259,f213]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X2,X1,X0)
      | min_precedes(sK4(X0,X1),X1,X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X2,X1,X0)
      | ( min_precedes(sK4(X0,X1),X1,X0)
        & root(sK4(X0,X1),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f150,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( min_precedes(X3,X1,X0)
          & root(X3,X0) )
     => ( min_precedes(sK4(X0,X1),X1,X0)
        & root(sK4(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X2,X1,X0)
      | ? [X3] :
          ( min_precedes(X3,X1,X0)
          & root(X3,X0) ) ),
    inference(rectify,[],[f107]) ).

fof(f107,plain,
    ! [X2,X1,X0] :
      ( ~ min_precedes(X0,X1,X2)
      | ? [X3] :
          ( min_precedes(X3,X1,X2)
          & root(X3,X2) ) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X0,X1,X2)
     => ? [X3] :
          ( min_precedes(X3,X1,X2)
          & root(X3,X2) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X31,X32,X33] :
      ( min_precedes(X31,X32,X33)
     => ? [X34] :
          ( min_precedes(X34,X32,X33)
          & root(X34,X33) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).

fof(f343,plain,
    occurrence_of(sK1(sK12(sK14),tptp0,sK10(sK14)),tptp0),
    inference(unit_resulting_resolution,[],[f259,f189]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X2,X0,X1)
      | occurrence_of(sK1(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f727,plain,
    subactivity_occurrence(sK11(sK14),sK1(sK12(sK14),tptp0,sK10(sK14))),
    inference(unit_resulting_resolution,[],[f261,f343,f358,f214]) ).

fof(f358,plain,
    subactivity_occurrence(sK10(sK14),sK1(sK12(sK14),tptp0,sK10(sK14))),
    inference(resolution,[],[f259,f190]) ).

fof(f190,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X2,X0,X1)
      | subactivity_occurrence(X2,sK1(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f261,plain,
    min_precedes(sK11(sK14),sK10(sK14),tptp0),
    inference(unit_resulting_resolution,[],[f258,f246]) ).

fof(f246,plain,
    ! [X0] :
      ( min_precedes(sK11(X0),sK10(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f515,plain,
    ! [X0] : ~ min_precedes(X0,sK11(sK14),tptp0),
    inference(unit_resulting_resolution,[],[f507,f197]) ).

fof(f197,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | ~ root(X2,X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ~ root(X2,X0) ),
    inference(rectify,[],[f116]) ).

fof(f116,plain,
    ! [X1,X0,X2] :
      ( ~ min_precedes(X0,X2,X1)
      | ~ root(X2,X1) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X0,X2,X1)
     => ~ root(X2,X1) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X35,X37,X36] :
      ( min_precedes(X35,X36,X37)
     => ~ root(X36,X37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).

fof(f507,plain,
    root(sK11(sK14),tptp0),
    inference(backward_demodulation,[],[f330,f493]) ).

fof(f493,plain,
    tptp0 = sK3(sK11(sK14),sK14),
    inference(unit_resulting_resolution,[],[f326,f272]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ occurrence_of(sK14,X0)
      | tptp0 = X0 ),
    inference(resolution,[],[f258,f220]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X2,X1)
      | X0 = X1
      | ~ occurrence_of(X2,X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X2,X0)
      | X0 = X1
      | ~ occurrence_of(X2,X1) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X1,X2)
      | X0 = X2
      | ~ occurrence_of(X1,X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X1,X0,X2] :
      ( X0 = X2
      | ~ occurrence_of(X1,X0)
      | ~ occurrence_of(X1,X2) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X1,X0,X2] :
      ( ( occurrence_of(X1,X0)
        & occurrence_of(X1,X2) )
     => X0 = X2 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X4,X6] :
      ( ( occurrence_of(X4,X6)
        & occurrence_of(X4,X5) )
     => X5 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(f326,plain,
    occurrence_of(sK14,sK3(sK11(sK14),sK14)),
    inference(unit_resulting_resolution,[],[f263,f206]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | occurrence_of(X1,sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ( ( subactivity_occurrence(X0,X1)
          & root(X0,sK3(X0,X1))
          & occurrence_of(X1,sK3(X0,X1)) )
        | ~ root_occ(X0,X1) )
      & ( root_occ(X0,X1)
        | ! [X3] :
            ( ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X3)
            | ~ occurrence_of(X1,X3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f145,f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subactivity_occurrence(X0,X1)
          & root(X0,X2)
          & occurrence_of(X1,X2) )
     => ( subactivity_occurrence(X0,X1)
        & root(X0,sK3(X0,X1))
        & occurrence_of(X1,sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( subactivity_occurrence(X0,X1)
            & root(X0,X2)
            & occurrence_of(X1,X2) )
        | ~ root_occ(X0,X1) )
      & ( root_occ(X0,X1)
        | ! [X3] :
            ( ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X3)
            | ~ occurrence_of(X1,X3) ) ) ),
    inference(rectify,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( subactivity_occurrence(X0,X1)
            & root(X0,X2)
            & occurrence_of(X1,X2) )
        | ~ root_occ(X0,X1) )
      & ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X2)
            | ~ occurrence_of(X1,X2) ) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subactivity_occurrence(X0,X1)
          & root(X0,X2)
          & occurrence_of(X1,X2) )
    <=> root_occ(X0,X1) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X99,X100] :
      ( ? [X101] :
          ( root(X99,X101)
          & subactivity_occurrence(X99,X100)
          & occurrence_of(X100,X101) )
    <=> root_occ(X99,X100) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).

fof(f330,plain,
    root(sK11(sK14),sK3(sK11(sK14),sK14)),
    inference(resolution,[],[f263,f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | root(X0,sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f530,plain,
    ! [X0] : ~ min_precedes(X0,sK4(tptp0,sK12(sK14)),tptp0),
    inference(unit_resulting_resolution,[],[f348,f197]) ).

fof(f348,plain,
    root(sK4(tptp0,sK12(sK14)),tptp0),
    inference(unit_resulting_resolution,[],[f259,f212]) ).

fof(f212,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X2,X1,X0)
      | root(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f922,plain,
    arboreal(sK4(tptp0,sK12(sK14))),
    inference(resolution,[],[f539,f191]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ legal(X0)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( arboreal(X0)
      | ~ legal(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( legal(X0)
     => arboreal(X0) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X18] :
      ( legal(X18)
     => arboreal(X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

fof(f539,plain,
    legal(sK4(tptp0,sK12(sK14))),
    inference(resolution,[],[f348,f229]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ root(X1,X0)
      | legal(X1) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ~ root(X1,X0)
      | legal(X1) ),
    inference(rectify,[],[f104]) ).

fof(f104,plain,
    ! [X1,X0] :
      ( ~ root(X0,X1)
      | legal(X0) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( root(X0,X1)
     => legal(X0) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X41,X42] :
      ( root(X41,X42)
     => legal(X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).

fof(f317,plain,
    arboreal(sK11(sK14)),
    inference(subsumption_resolution,[],[f312,f240]) ).

fof(f240,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).

fof(f312,plain,
    ( ~ atomic(tptp3)
    | arboreal(sK11(sK14)) ),
    inference(resolution,[],[f262,f217]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) ) ),
    inference(rectify,[],[f153]) ).

fof(f153,plain,
    ! [X1,X0] :
      ( ~ occurrence_of(X1,X0)
      | ( ( arboreal(X1)
          | ~ atomic(X0) )
        & ( atomic(X0)
          | ~ arboreal(X1) ) ) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X1,X0] :
      ( ~ occurrence_of(X1,X0)
      | ( arboreal(X1)
      <=> atomic(X0) ) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X1,X0] :
      ( occurrence_of(X1,X0)
     => ( arboreal(X1)
      <=> atomic(X0) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X17,X16] :
      ( occurrence_of(X16,X17)
     => ( arboreal(X16)
      <=> atomic(X17) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).

fof(f262,plain,
    occurrence_of(sK11(sK14),tptp3),
    inference(unit_resulting_resolution,[],[f258,f247]) ).

fof(f247,plain,
    ! [X0] :
      ( occurrence_of(sK11(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f1310,plain,
    ( ~ root_occ(sK4(tptp0,sK12(sK14)),sK14)
    | ~ occurrence_of(sK12(sK14),tptp2) ),
    inference(subsumption_resolution,[],[f1245,f262]) ).

fof(f1245,plain,
    ( ~ occurrence_of(sK11(sK14),tptp3)
    | ~ root_occ(sK4(tptp0,sK12(sK14)),sK14)
    | ~ occurrence_of(sK12(sK14),tptp2) ),
    inference(backward_demodulation,[],[f637,f1225]) ).

fof(f637,plain,
    ( ~ occurrence_of(sK12(sK14),tptp2)
    | ~ root_occ(sK4(tptp0,sK12(sK14)),sK14)
    | ~ occurrence_of(sK4(tptp0,sK12(sK14)),tptp3) ),
    inference(resolution,[],[f349,f257]) ).

fof(f257,plain,
    ! [X2,X1] :
      ( ~ min_precedes(X1,X2,tptp0)
      | ~ occurrence_of(X2,tptp2)
      | ~ occurrence_of(X1,tptp3)
      | ~ root_occ(X1,sK14) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f1321,plain,
    occurrence_of(sK12(sK14),tptp2),
    inference(subsumption_resolution,[],[f1320,f258]) ).

fof(f1320,plain,
    ( ~ occurrence_of(sK14,tptp0)
    | occurrence_of(sK12(sK14),tptp2) ),
    inference(resolution,[],[f1302,f244]) ).

fof(f244,plain,
    ! [X0] :
      ( occurrence_of(sK12(X0),tptp1)
      | occurrence_of(sK12(X0),tptp2)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f1302,plain,
    ~ occurrence_of(sK12(sK14),tptp1),
    inference(subsumption_resolution,[],[f1301,f263]) ).

fof(f1301,plain,
    ( ~ root_occ(sK11(sK14),sK14)
    | ~ occurrence_of(sK12(sK14),tptp1) ),
    inference(forward_demodulation,[],[f1300,f1225]) ).

fof(f1300,plain,
    ( ~ occurrence_of(sK12(sK14),tptp1)
    | ~ root_occ(sK4(tptp0,sK12(sK14)),sK14) ),
    inference(subsumption_resolution,[],[f1246,f262]) ).

fof(f1246,plain,
    ( ~ occurrence_of(sK11(sK14),tptp3)
    | ~ occurrence_of(sK12(sK14),tptp1)
    | ~ root_occ(sK4(tptp0,sK12(sK14)),sK14) ),
    inference(backward_demodulation,[],[f638,f1225]) ).

fof(f638,plain,
    ( ~ occurrence_of(sK12(sK14),tptp1)
    | ~ occurrence_of(sK4(tptp0,sK12(sK14)),tptp3)
    | ~ root_occ(sK4(tptp0,sK12(sK14)),sK14) ),
    inference(resolution,[],[f349,f256]) ).

fof(f256,plain,
    ! [X2,X1] :
      ( ~ min_precedes(X1,X2,tptp0)
      | ~ root_occ(X1,sK14)
      | ~ occurrence_of(X1,tptp3)
      | ~ occurrence_of(X2,tptp1) ),
    inference(cnf_transformation,[],[f182]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : PRO012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 10:20:44 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.18/0.40  % (16103)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.44  % (16096)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.44  % (16103)Instruction limit reached!
% 0.18/0.44  % (16103)------------------------------
% 0.18/0.44  % (16103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.44  % (16103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.44  % (16103)Termination reason: Unknown
% 0.18/0.44  % (16103)Termination phase: Saturation
% 0.18/0.44  
% 0.18/0.44  % (16103)Memory used [KB]: 7036
% 0.18/0.44  % (16103)Time elapsed: 0.047 s
% 0.18/0.44  % (16103)Instructions burned: 51 (million)
% 0.18/0.44  % (16103)------------------------------
% 0.18/0.44  % (16103)------------------------------
% 0.18/0.46  % (16117)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.46  % (16112)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.48  % (16097)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.48  % (16104)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.48  % (16104)Instruction limit reached!
% 0.18/0.48  % (16104)------------------------------
% 0.18/0.48  % (16104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (16104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (16104)Termination reason: Unknown
% 0.18/0.48  % (16104)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (16104)Memory used [KB]: 6140
% 0.18/0.48  % (16104)Time elapsed: 0.003 s
% 0.18/0.48  % (16104)Instructions burned: 4 (million)
% 0.18/0.48  % (16104)------------------------------
% 0.18/0.48  % (16104)------------------------------
% 0.18/0.48  % (16105)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (16105)Instruction limit reached!
% 0.18/0.49  % (16105)------------------------------
% 0.18/0.49  % (16105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (16105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (16105)Termination reason: Unknown
% 0.18/0.49  % (16105)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (16105)Memory used [KB]: 6268
% 0.18/0.49  % (16105)Time elapsed: 0.073 s
% 0.18/0.49  % (16105)Instructions burned: 8 (million)
% 0.18/0.49  % (16105)------------------------------
% 0.18/0.49  % (16105)------------------------------
% 0.18/0.49  % (16118)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49  % (16182)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 0.18/0.49  % (16102)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.49  % (16182)Refutation not found, incomplete strategy% (16182)------------------------------
% 0.18/0.49  % (16182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (16182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (16182)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (16182)Memory used [KB]: 6012
% 0.18/0.49  % (16182)Time elapsed: 0.006 s
% 0.18/0.49  % (16182)Instructions burned: 3 (million)
% 0.18/0.49  % (16182)------------------------------
% 0.18/0.49  % (16182)------------------------------
% 0.18/0.51  % (16093)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51  % (16091)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51  % (16107)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51  % (16100)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.51  % (16090)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51  % (16092)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (16101)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (16118)Instruction limit reached!
% 0.18/0.52  % (16118)------------------------------
% 0.18/0.52  % (16118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (16118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (16118)Termination reason: Unknown
% 0.18/0.52  % (16118)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (16118)Memory used [KB]: 6524
% 0.18/0.52  % (16118)Time elapsed: 0.107 s
% 0.18/0.52  % (16118)Instructions burned: 25 (million)
% 0.18/0.52  % (16118)------------------------------
% 0.18/0.52  % (16118)------------------------------
% 0.18/0.52  % (16101)Instruction limit reached!
% 0.18/0.52  % (16101)------------------------------
% 0.18/0.52  % (16101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (16101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (16101)Termination reason: Unknown
% 0.18/0.52  % (16101)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (16101)Memory used [KB]: 6268
% 0.18/0.52  % (16101)Time elapsed: 0.133 s
% 0.18/0.52  % (16101)Instructions burned: 7 (million)
% 0.18/0.52  % (16101)------------------------------
% 0.18/0.52  % (16101)------------------------------
% 0.18/0.52  % (16115)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.52  % (16096)Instruction limit reached!
% 0.18/0.52  % (16096)------------------------------
% 0.18/0.52  % (16096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (16096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (16096)Termination reason: Unknown
% 0.18/0.52  % (16096)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (16096)Memory used [KB]: 6524
% 0.18/0.52  % (16096)Time elapsed: 0.163 s
% 0.18/0.52  % (16096)Instructions burned: 40 (million)
% 0.18/0.52  % (16096)------------------------------
% 0.18/0.52  % (16096)------------------------------
% 0.18/0.53  % (16100)Instruction limit reached!
% 0.18/0.53  % (16100)------------------------------
% 0.18/0.53  % (16100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16100)Termination reason: Unknown
% 0.18/0.53  % (16100)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (16100)Memory used [KB]: 6268
% 0.18/0.53  % (16100)Time elapsed: 0.145 s
% 0.18/0.53  % (16100)Instructions burned: 12 (million)
% 0.18/0.53  % (16100)------------------------------
% 0.18/0.53  % (16100)------------------------------
% 0.18/0.53  % (16120)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.53  % (16113)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.53  % (16091)Instruction limit reached!
% 0.18/0.53  % (16091)------------------------------
% 0.18/0.53  % (16091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16091)Termination reason: Unknown
% 0.18/0.53  % (16091)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (16091)Memory used [KB]: 1663
% 0.18/0.53  % (16091)Time elapsed: 0.003 s
% 0.18/0.53  % (16091)Instructions burned: 3 (million)
% 0.18/0.53  % (16091)------------------------------
% 0.18/0.53  % (16091)------------------------------
% 0.18/0.53  % (16099)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.53  % (16094)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.53  % (16109)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.53  % (16108)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (16119)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53  % (16108)Instruction limit reached!
% 0.18/0.53  % (16108)------------------------------
% 0.18/0.53  % (16108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16108)Termination reason: Unknown
% 0.18/0.53  % (16108)Termination phase: Unused predicate definition removal
% 0.18/0.53  
% 0.18/0.53  % (16108)Memory used [KB]: 1535
% 0.18/0.53  % (16108)Time elapsed: 0.003 s
% 0.18/0.53  % (16108)Instructions burned: 2 (million)
% 0.18/0.53  % (16108)------------------------------
% 0.18/0.53  % (16108)------------------------------
% 0.18/0.53  % (16094)Refutation not found, incomplete strategy% (16094)------------------------------
% 0.18/0.53  % (16094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16094)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (16094)Memory used [KB]: 1663
% 0.18/0.53  % (16094)Time elapsed: 0.147 s
% 0.18/0.53  % (16094)Instructions burned: 7 (million)
% 0.18/0.53  % (16094)------------------------------
% 0.18/0.53  % (16094)------------------------------
% 0.18/0.53  % (16097)Instruction limit reached!
% 0.18/0.53  % (16097)------------------------------
% 0.18/0.53  % (16097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16097)Termination reason: Unknown
% 0.18/0.53  % (16097)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (16097)Memory used [KB]: 6652
% 0.18/0.53  % (16097)Time elapsed: 0.114 s
% 0.18/0.53  % (16097)Instructions burned: 40 (million)
% 0.18/0.53  % (16097)------------------------------
% 0.18/0.53  % (16097)------------------------------
% 0.18/0.53  % (16107)Instruction limit reached!
% 0.18/0.53  % (16107)------------------------------
% 0.18/0.53  % (16107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16107)Termination reason: Unknown
% 0.18/0.53  % (16107)Termination phase: Finite model building preprocessing
% 0.18/0.53  
% 0.18/0.53  % (16107)Memory used [KB]: 1663
% 0.18/0.53  % (16107)Time elapsed: 0.004 s
% 0.18/0.53  % (16107)Instructions burned: 4 (million)
% 0.18/0.53  % (16107)------------------------------
% 0.18/0.53  % (16107)------------------------------
% 0.18/0.53  % (16092)Refutation not found, incomplete strategy% (16092)------------------------------
% 0.18/0.53  % (16092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (16092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (16092)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (16092)Memory used [KB]: 6012
% 0.18/0.53  % (16092)Time elapsed: 0.135 s
% 0.18/0.53  % (16092)Instructions burned: 3 (million)
% 0.18/0.53  % (16092)------------------------------
% 0.18/0.53  % (16092)------------------------------
% 0.18/0.54  % (16090)Instruction limit reached!
% 0.18/0.54  % (16090)------------------------------
% 0.18/0.54  % (16090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16093)Instruction limit reached!
% 0.18/0.54  % (16093)------------------------------
% 0.18/0.54  % (16093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16093)Termination reason: Unknown
% 0.18/0.54  % (16093)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16093)Memory used [KB]: 6268
% 0.18/0.54  % (16093)Time elapsed: 0.159 s
% 0.18/0.54  % (16093)Instructions burned: 13 (million)
% 0.18/0.54  % (16093)------------------------------
% 0.18/0.54  % (16093)------------------------------
% 0.18/0.54  % (16110)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.54  % (16119)Instruction limit reached!
% 0.18/0.54  % (16119)------------------------------
% 0.18/0.54  % (16119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16119)Termination reason: Unknown
% 0.18/0.54  % (16119)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16119)Memory used [KB]: 6268
% 0.18/0.54  % (16119)Time elapsed: 0.160 s
% 0.18/0.54  % (16119)Instructions burned: 8 (million)
% 0.18/0.54  % (16119)------------------------------
% 0.18/0.54  % (16119)------------------------------
% 0.18/0.54  % (16102)Instruction limit reached!
% 0.18/0.54  % (16102)------------------------------
% 0.18/0.54  % (16102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (16102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (16102)Termination reason: Unknown
% 0.18/0.54  % (16102)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (16102)Memory used [KB]: 1918
% 0.18/0.54  % (16102)Time elapsed: 0.164 s
% 0.18/0.54  % (16102)Instructions burned: 17 (million)
% 0.18/0.54  % (16102)------------------------------
% 0.18/0.54  % (16102)------------------------------
% 0.18/0.55  % (16114)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.55  % (16109)Instruction limit reached!
% 0.18/0.55  % (16109)------------------------------
% 0.18/0.55  % (16109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (16109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (16109)Termination reason: Unknown
% 0.18/0.55  % (16109)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (16109)Memory used [KB]: 6268
% 0.18/0.55  % (16109)Time elapsed: 0.162 s
% 0.18/0.55  % (16109)Instructions burned: 12 (million)
% 0.18/0.55  % (16109)------------------------------
% 0.18/0.55  % (16109)------------------------------
% 0.18/0.55  % (16090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (16090)Termination reason: Unknown
% 0.18/0.55  % (16090)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (16090)Memory used [KB]: 6268
% 0.18/0.55  % (16090)Time elapsed: 0.138 s
% 0.18/0.55  % (16090)Instructions burned: 14 (million)
% 0.18/0.55  % (16090)------------------------------
% 0.18/0.55  % (16090)------------------------------
% 0.18/0.56  % (16120)Instruction limit reached!
% 0.18/0.56  % (16120)------------------------------
% 0.18/0.56  % (16120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (16111)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.56  % (16098)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.56  % (16089)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.56  % (16120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (16120)Termination reason: Unknown
% 0.18/0.56  % (16120)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (16120)Memory used [KB]: 6396
% 0.18/0.56  % (16120)Time elapsed: 0.167 s
% 0.18/0.56  % (16120)Instructions burned: 24 (million)
% 0.18/0.56  % (16120)------------------------------
% 0.18/0.56  % (16120)------------------------------
% 0.18/0.56  % (16203)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.18/0.56  % (16099)Instruction limit reached!
% 0.18/0.56  % (16099)------------------------------
% 0.18/0.56  % (16099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (16099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (16099)Termination reason: Unknown
% 0.18/0.56  % (16099)Termination phase: Saturation
% 0.18/0.56  
% 0.18/0.56  % (16099)Memory used [KB]: 6652
% 0.18/0.56  % (16099)Time elapsed: 0.191 s
% 0.18/0.56  % (16099)Instructions burned: 34 (million)
% 0.18/0.56  % (16099)------------------------------
% 0.18/0.56  % (16099)------------------------------
% 0.18/0.57  % (16106)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.59  % (16203)Refutation not found, incomplete strategy% (16203)------------------------------
% 0.18/0.59  % (16203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (16110)Instruction limit reached!
% 0.18/0.59  % (16110)------------------------------
% 0.18/0.59  % (16110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (16110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (16110)Termination reason: Unknown
% 0.18/0.59  % (16110)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (16110)Memory used [KB]: 6396
% 0.18/0.59  % (16110)Time elapsed: 0.219 s
% 0.18/0.59  % (16110)Instructions burned: 30 (million)
% 0.18/0.59  % (16110)------------------------------
% 0.18/0.59  % (16110)------------------------------
% 0.18/0.59  % (16112)Instruction limit reached!
% 0.18/0.59  % (16112)------------------------------
% 0.18/0.59  % (16112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (16112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (16112)Termination reason: Unknown
% 0.18/0.59  % (16112)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (16112)Memory used [KB]: 7803
% 0.18/0.59  % (16112)Time elapsed: 0.212 s
% 0.18/0.59  % (16112)Instructions burned: 84 (million)
% 0.18/0.59  % (16112)------------------------------
% 0.18/0.59  % (16112)------------------------------
% 0.18/0.59  % (16203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (16203)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.59  
% 0.18/0.59  % (16203)Memory used [KB]: 10618
% 0.18/0.59  % (16203)Time elapsed: 0.049 s
% 0.18/0.59  % (16203)Instructions burned: 6 (million)
% 0.18/0.59  % (16203)------------------------------
% 0.18/0.59  % (16203)------------------------------
% 0.18/0.60  % (16207)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 0.18/0.60  % (16113)Instruction limit reached!
% 0.18/0.60  % (16113)------------------------------
% 0.18/0.60  % (16113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.60  % (16113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.60  % (16113)Termination reason: Unknown
% 0.18/0.60  % (16113)Termination phase: Saturation
% 0.18/0.60  
% 0.18/0.60  % (16113)Memory used [KB]: 2302
% 0.18/0.60  % (16113)Time elapsed: 0.216 s
% 0.18/0.60  % (16113)Instructions burned: 46 (million)
% 0.18/0.60  % (16113)------------------------------
% 0.18/0.60  % (16113)------------------------------
% 2.16/0.61  % (16215)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.28/0.63  % (16111)First to succeed.
% 2.28/0.64  % (16232)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.28/0.65  % (16111)Refutation found. Thanks to Tanya!
% 2.28/0.65  % SZS status Theorem for theBenchmark
% 2.28/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.28/0.65  % (16111)------------------------------
% 2.28/0.65  % (16111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.65  % (16111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.65  % (16111)Termination reason: Refutation
% 2.28/0.65  
% 2.28/0.65  % (16111)Memory used [KB]: 6908
% 2.28/0.65  % (16111)Time elapsed: 0.250 s
% 2.28/0.65  % (16111)Instructions burned: 49 (million)
% 2.28/0.65  % (16111)------------------------------
% 2.28/0.65  % (16111)------------------------------
% 2.28/0.65  % (16085)Success in time 0.301 s
%------------------------------------------------------------------------------