TSTP Solution File: NUN082+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : NUN082+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n026.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 : Mon Jun 24 13:32:53 EDT 2024

% Result   : Theorem 9.28s 1.73s
% Output   : Refutation 9.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  112 (  21 unt;   0 def)
%            Number of atoms       :  373 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  436 ( 175   ~; 136   |; 111   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   1 con; 0-2 aty)
%            Number of variables   :  308 ( 244   !;  64   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8227,plain,
    $false,
    inference(avatar_sat_refutation,[],[f8168,f8192,f8226]) ).

fof(f8226,plain,
    ~ spl20_6,
    inference(avatar_contradiction_clause,[],[f8225]) ).

fof(f8225,plain,
    ( $false
    | ~ spl20_6 ),
    inference(resolution,[],[f8193,f107]) ).

fof(f107,plain,
    ! [X0] : r1(sK12(X0)),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( r1(sK11(X0))
      & id(sK10(X0),sK11(X0))
      & r4(X0,sK12(X0),sK10(X0))
      & r1(sK12(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f34,f56,f55,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r1(X2)
              & id(X1,X2) )
          & ? [X3] :
              ( r4(X0,X3,X1)
              & r1(X3) ) )
     => ( ? [X2] :
            ( r1(X2)
            & id(sK10(X0),X2) )
        & ? [X3] :
            ( r4(X0,X3,sK10(X0))
            & r1(X3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ! [X0] :
      ( ? [X2] :
          ( r1(X2)
          & id(sK10(X0),X2) )
     => ( r1(sK11(X0))
        & id(sK10(X0),sK11(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ! [X0] :
      ( ? [X3] :
          ( r4(X0,X3,sK10(X0))
          & r1(X3) )
     => ( r4(X0,sK12(X0),sK10(X0))
        & r1(sK12(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & id(X1,X2) )
      & ? [X3] :
          ( r4(X0,X3,X1)
          & r1(X3) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X56] :
    ? [X57] :
      ( ? [X59] :
          ( r1(X59)
          & id(X57,X59) )
      & ? [X58] :
          ( r4(X56,X58,X57)
          & r1(X58) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f8193,plain,
    ( ~ r1(sK12(sK0))
    | ~ spl20_6 ),
    inference(resolution,[],[f8167,f71]) ).

fof(f71,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0] : id(X0,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13] : id(X13,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f8167,plain,
    ( ! [X0] :
        ( ~ id(X0,sK12(sK0))
        | ~ r1(X0) )
    | ~ spl20_6 ),
    inference(avatar_component_clause,[],[f8166]) ).

fof(f8166,plain,
    ( spl20_6
  <=> ! [X0] :
        ( ~ id(X0,sK12(sK0))
        | ~ r1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f8192,plain,
    spl20_5,
    inference(avatar_contradiction_clause,[],[f8191]) ).

fof(f8191,plain,
    ( $false
    | spl20_5 ),
    inference(resolution,[],[f8164,f151]) ).

fof(f151,plain,
    ! [X0] : r1(sK10(X0)),
    inference(resolution,[],[f148,f110]) ).

fof(f110,plain,
    ! [X0] : r1(sK11(X0)),
    inference(cnf_transformation,[],[f57]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ r1(sK11(X0))
      | r1(sK10(X0)) ),
    inference(resolution,[],[f78,f109]) ).

fof(f109,plain,
    ! [X0] : id(sK10(X0),sK11(X0)),
    inference(cnf_transformation,[],[f57]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | ~ r1(X1)
      | r1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( r1(X1)
        & r1(X0) )
      | ( ~ r1(X1)
        & ~ r1(X0) )
      | ~ id(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X19,X20] :
      ( ( r1(X20)
        & r1(X19) )
      | ( ~ r1(X20)
        & ~ r1(X19) )
      | ~ id(X19,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f8164,plain,
    ( ~ r1(sK10(sK0))
    | spl20_5 ),
    inference(avatar_component_clause,[],[f8162]) ).

fof(f8162,plain,
    ( spl20_5
  <=> r1(sK10(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f8168,plain,
    ( ~ spl20_5
    | spl20_6 ),
    inference(avatar_split_clause,[],[f8159,f8166,f8162]) ).

fof(f8159,plain,
    ! [X0] :
      ( ~ id(X0,sK12(sK0))
      | ~ r1(X0)
      | ~ r1(sK10(sK0)) ),
    inference(resolution,[],[f8158,f732]) ).

fof(f732,plain,
    ! [X0] :
      ( r1(sK5(X0,sK12(X0)))
      | ~ r1(sK10(X0)) ),
    inference(resolution,[],[f251,f108]) ).

fof(f108,plain,
    ! [X0] : r4(X0,sK12(X0),sK10(X0)),
    inference(cnf_transformation,[],[f57]) ).

fof(f251,plain,
    ! [X2,X0,X1] :
      ( ~ r4(X0,X1,X2)
      | ~ r1(X2)
      | r1(sK5(X0,X1)) ),
    inference(resolution,[],[f98,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | ~ r1(X0)
      | r1(X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f98,plain,
    ! [X3,X0,X1] :
      ( id(X3,sK5(X0,X1))
      | ~ r4(X0,X1,X3) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X3] :
      ( ( ~ id(X3,sK5(X0,X1))
        & ~ r4(X0,X1,X3) )
      | ( r4(X0,X1,X3)
        & id(X3,sK5(X0,X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f32,f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( ~ id(X3,X2)
            & ~ r4(X0,X1,X3) )
          | ( r4(X0,X1,X3)
            & id(X3,X2) ) )
     => ! [X3] :
          ( ( ~ id(X3,sK5(X0,X1))
            & ~ r4(X0,X1,X3) )
          | ( r4(X0,X1,X3)
            & id(X3,sK5(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( ~ id(X3,X2)
        & ~ r4(X0,X1,X3) )
      | ( r4(X0,X1,X3)
        & id(X3,X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X9,X10] :
    ? [X11] :
    ! [X12] :
      ( ( ~ id(X12,X11)
        & ~ r4(X9,X10,X12) )
      | ( r4(X9,X10,X12)
        & id(X12,X11) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f8158,plain,
    ! [X0,X1] :
      ( ~ r1(sK5(sK0,X1))
      | ~ id(X0,X1)
      | ~ r1(X0) ),
    inference(resolution,[],[f8133,f125]) ).

fof(f125,plain,
    ! [X0] : r1(sK19(X0)),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( r3(X0,sK19(X0),sK18(X0))
      & r1(sK19(X0))
      & id(sK18(X0),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f38,f66,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r3(X0,X2,X1)
              & r1(X2) )
          & id(X1,X0) )
     => ( ? [X2] :
            ( r3(X0,X2,sK18(X0))
            & r1(X2) )
        & id(sK18(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ! [X0] :
      ( ? [X2] :
          ( r3(X0,X2,sK18(X0))
          & r1(X2) )
     => ( r3(X0,sK19(X0),sK18(X0))
        & r1(sK19(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r3(X0,X2,X1)
          & r1(X2) )
      & id(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X53] :
    ? [X54] :
      ( ? [X55] :
          ( r3(X53,X55,X54)
          & r1(X55) )
      & id(X54,X53) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f8133,plain,
    ! [X0,X1] :
      ( ~ r1(sK19(sK7(sK0,X1)))
      | ~ id(X0,X1)
      | ~ r1(sK5(sK0,X1))
      | ~ r1(X0) ),
    inference(resolution,[],[f8126,f134]) ).

fof(f134,plain,
    ! [X0] :
      ( id(sK0,X0)
      | ~ r1(X0) ),
    inference(resolution,[],[f70,f72]) ).

fof(f72,plain,
    ! [X1] :
      ( id(X1,sK0)
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X1] :
      ( ( ~ id(X1,sK0)
        & ~ r1(X1) )
      | ( r1(X1)
        & id(X1,sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f40]) ).

fof(f40,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( ~ id(X1,X0)
          & ~ r1(X1) )
        | ( r1(X1)
          & id(X1,X0) ) )
   => ! [X1] :
        ( ( ~ id(X1,sK0)
          & ~ r1(X1) )
        | ( r1(X1)
          & id(X1,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( ~ id(X1,X0)
        & ~ r1(X1) )
      | ( r1(X1)
        & id(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X1,X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X14,X15] :
      ( id(X15,X14)
      | ~ id(X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f8126,plain,
    ! [X2,X0,X1] :
      ( ~ id(X2,sK19(sK7(X2,X1)))
      | ~ r1(X0)
      | ~ id(X0,X1)
      | ~ r1(sK5(X2,X1)) ),
    inference(forward_literal_rewriting,[],[f8095,f774]) ).

fof(f774,plain,
    ! [X0,X1] :
      ( ~ r1(sK5(X0,X1))
      | r1(sK7(X0,X1)) ),
    inference(resolution,[],[f252,f106]) ).

fof(f106,plain,
    ! [X0,X1] : r4(X0,X1,sK7(X0,X1)),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( r4(X0,X1,sK7(X0,X1))
      & r3(sK7(X0,X1),X0,sK6(X0,X1))
      & r4(X0,sK9(X0,X1),sK8(X0,X1))
      & r2(X1,sK9(X0,X1))
      & id(sK8(X0,X1),sK6(X0,X1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f33,f52,f51,f50,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( r4(X0,X1,X3)
              & r3(X3,X0,X2) )
          & ? [X4] :
              ( ? [X5] :
                  ( r4(X0,X5,X4)
                  & r2(X1,X5) )
              & id(X4,X2) ) )
     => ( ? [X3] :
            ( r4(X0,X1,X3)
            & r3(X3,X0,sK6(X0,X1)) )
        & ? [X4] :
            ( ? [X5] :
                ( r4(X0,X5,X4)
                & r2(X1,X5) )
            & id(X4,sK6(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( r4(X0,X1,X3)
          & r3(X3,X0,sK6(X0,X1)) )
     => ( r4(X0,X1,sK7(X0,X1))
        & r3(sK7(X0,X1),X0,sK6(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( r4(X0,X5,X4)
              & r2(X1,X5) )
          & id(X4,sK6(X0,X1)) )
     => ( ? [X5] :
            ( r4(X0,X5,sK8(X0,X1))
            & r2(X1,X5) )
        & id(sK8(X0,X1),sK6(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( r4(X0,X5,sK8(X0,X1))
          & r2(X1,X5) )
     => ( r4(X0,sK9(X0,X1),sK8(X0,X1))
        & r2(X1,sK9(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r4(X0,X1,X3)
          & r3(X3,X0,X2) )
      & ? [X4] :
          ( ? [X5] :
              ( r4(X0,X5,X4)
              & r2(X1,X5) )
          & id(X4,X2) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X43,X44] :
    ? [X45] :
      ( ? [X48] :
          ( r4(X43,X44,X48)
          & r3(X48,X43,X45) )
      & ? [X46] :
          ( ? [X47] :
              ( r4(X43,X47,X46)
              & r2(X44,X47) )
          & id(X46,X45) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( ~ r4(X0,X1,X2)
      | ~ r1(sK5(X0,X1))
      | r1(X2) ),
    inference(resolution,[],[f98,f78]) ).

fof(f8095,plain,
    ! [X2,X0,X1] :
      ( ~ r1(X0)
      | ~ id(X0,X1)
      | ~ id(X2,sK19(sK7(X2,X1)))
      | ~ r1(sK7(X2,X1)) ),
    inference(resolution,[],[f8056,f71]) ).

fof(f8056,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK7(X3,X2),X1)
      | ~ r1(X0)
      | ~ id(X0,X2)
      | ~ id(X3,sK19(X1))
      | ~ r1(X1) ),
    inference(forward_literal_rewriting,[],[f8047,f153]) ).

fof(f153,plain,
    ! [X0] :
      ( r1(sK18(X0))
      | ~ r1(X0) ),
    inference(resolution,[],[f79,f129]) ).

fof(f129,plain,
    ! [X0] : id(X0,sK18(X0)),
    inference(forward_literal_rewriting,[],[f124,f70]) ).

fof(f124,plain,
    ! [X0] : id(sK18(X0),X0),
    inference(cnf_transformation,[],[f67]) ).

fof(f8047,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(X0)
      | ~ r1(sK18(X1))
      | ~ id(X0,X2)
      | ~ id(X3,sK19(X1))
      | ~ id(sK7(X3,X2),X1) ),
    inference(resolution,[],[f7988,f1559]) ).

fof(f1559,plain,
    ! [X2,X0,X1] :
      ( r3(X0,X1,sK18(X2))
      | ~ id(X1,sK19(X2))
      | ~ id(X0,X2) ),
    inference(resolution,[],[f340,f71]) ).

fof(f340,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X2,sK18(X3))
      | r3(X0,X1,X2)
      | ~ id(X1,sK19(X3))
      | ~ id(X0,X3) ),
    inference(resolution,[],[f112,f126]) ).

fof(f126,plain,
    ! [X0] : r3(X0,sK19(X0),sK18(X0)),
    inference(cnf_transformation,[],[f67]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r3(X3,X4,X5)
      | r3(X0,X1,X2)
      | ~ id(X2,X5)
      | ~ id(X1,X4)
      | ~ id(X0,X3) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( r3(X3,X4,X5)
        & r3(X0,X1,X2) )
      | ( ~ r3(X3,X4,X5)
        & ~ r3(X0,X1,X2) )
      | ~ id(X2,X5)
      | ~ id(X1,X4)
      | ~ id(X0,X3) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ( r3(X28,X29,X30)
        & r3(X25,X26,X27) )
      | ( ~ r3(X28,X29,X30)
        & ~ r3(X25,X26,X27) )
      | ~ id(X27,X30)
      | ~ id(X26,X29)
      | ~ id(X25,X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7988,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r3(sK7(X3,X1),X3,X2)
      | ~ r1(X0)
      | ~ r1(X2)
      | ~ id(X0,X1) ),
    inference(resolution,[],[f7986,f267]) ).

fof(f267,plain,
    ! [X2,X0,X1] :
      ( id(sK13(X0,X1),X2)
      | ~ r3(X0,X1,X2) ),
    inference(resolution,[],[f115,f70]) ).

fof(f115,plain,
    ! [X3,X0,X1] :
      ( id(X3,sK13(X0,X1))
      | ~ r3(X0,X1,X3) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X3] :
      ( ( ~ id(X3,sK13(X0,X1))
        & ~ r3(X0,X1,X3) )
      | ( r3(X0,X1,X3)
        & id(X3,sK13(X0,X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f36,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( ~ id(X3,X2)
            & ~ r3(X0,X1,X3) )
          | ( r3(X0,X1,X3)
            & id(X3,X2) ) )
     => ! [X3] :
          ( ( ~ id(X3,sK13(X0,X1))
            & ~ r3(X0,X1,X3) )
          | ( r3(X0,X1,X3)
            & id(X3,sK13(X0,X1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( ~ id(X3,X2)
        & ~ r3(X0,X1,X3) )
      | ( r3(X0,X1,X3)
        & id(X3,X2) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6] :
    ? [X7] :
    ! [X8] :
      ( ( ~ id(X8,X7)
        & ~ r3(X5,X6,X8) )
      | ( r3(X5,X6,X8)
        & id(X8,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7986,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK13(sK7(X2,X1),X2),X3)
      | ~ id(X0,X1)
      | ~ r1(X0)
      | ~ r1(X3) ),
    inference(resolution,[],[f6927,f105]) ).

fof(f105,plain,
    ! [X0,X1] : r3(sK7(X0,X1),X0,sK6(X0,X1)),
    inference(cnf_transformation,[],[f53]) ).

fof(f6927,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r3(X0,X1,sK6(X2,X3))
      | ~ id(X4,X3)
      | ~ id(sK13(X0,X1),X5)
      | ~ r1(X4)
      | ~ r1(X5) ),
    inference(resolution,[],[f686,f4911]) ).

fof(f4911,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ id(X0,sK8(X1,X2))
      | ~ id(X4,X2)
      | ~ id(X0,X3)
      | ~ r1(X4)
      | ~ r1(X3) ),
    inference(forward_literal_rewriting,[],[f4886,f908]) ).

fof(f908,plain,
    ! [X2,X0,X1] :
      ( r2(X0,sK9(X1,X2))
      | ~ id(X0,X2) ),
    inference(resolution,[],[f281,f71]) ).

fof(f281,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(X1,sK9(X2,X3))
      | r2(X0,X1)
      | ~ id(X0,X3) ),
    inference(resolution,[],[f86,f103]) ).

fof(f103,plain,
    ! [X0,X1] : r2(X1,sK9(X0,X1)),
    inference(cnf_transformation,[],[f53]) ).

fof(f86,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X2,X3)
      | r2(X0,X1)
      | ~ id(X1,X3)
      | ~ id(X0,X2) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] :
      ( ( r2(X2,X3)
        & r2(X0,X1) )
      | ( ~ r2(X2,X3)
        & ~ r2(X0,X1) )
      | ~ id(X1,X3)
      | ~ id(X0,X2) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X21,X22,X23,X24] :
      ( ( r2(X23,X24)
        & r2(X21,X22) )
      | ( ~ r2(X23,X24)
        & ~ r2(X21,X22) )
      | ~ id(X22,X24)
      | ~ id(X21,X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4886,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ id(X0,sK8(X1,X2))
      | ~ id(X0,X3)
      | ~ r2(X4,sK9(X1,X2))
      | ~ r1(X4)
      | ~ r1(X3) ),
    inference(resolution,[],[f879,f68]) ).

fof(f68,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r4(X0,X3,X1)
      | ~ id(X1,X2)
      | ~ r2(X4,X3)
      | ~ r1(X4)
      | ~ r1(X2) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ r1(X2)
          | ~ id(X1,X2) )
      | ! [X3] :
          ( ! [X4] :
              ( ~ r2(X4,X3)
              | ~ r1(X4) )
          | ~ r4(X0,X3,X1) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ? [X0,X1] :
        ( ? [X2] :
            ( r1(X2)
            & id(X1,X2) )
        & ? [X3] :
            ( ? [X4] :
                ( r2(X4,X3)
                & r1(X4) )
            & r4(X0,X3,X1) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ? [X62,X45] :
        ( ? [X40] :
            ( r1(X40)
            & id(X45,X40) )
        & ? [X46] :
            ( ? [X39] :
                ( r2(X39,X46)
                & r1(X39) )
            & r4(X62,X46,X45) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ? [X62,X45] :
      ( ? [X40] :
          ( r1(X40)
          & id(X45,X40) )
      & ? [X46] :
          ( ? [X39] :
              ( r2(X39,X46)
              & r1(X39) )
          & r4(X62,X46,X45) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f879,plain,
    ! [X2,X0,X1] :
      ( r4(X0,sK9(X0,X1),X2)
      | ~ id(X2,sK8(X0,X1)) ),
    inference(resolution,[],[f256,f104]) ).

fof(f104,plain,
    ! [X0,X1] : r4(X0,sK9(X0,X1),sK8(X0,X1)),
    inference(cnf_transformation,[],[f53]) ).

fof(f256,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r4(X0,X1,X2)
      | r4(X0,X1,X3)
      | ~ id(X3,X2) ),
    inference(forward_literal_rewriting,[],[f250,f101]) ).

fof(f101,plain,
    ! [X3,X0,X1] :
      ( ~ id(X3,sK5(X0,X1))
      | r4(X0,X1,X3) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f250,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r4(X0,X1,X2)
      | id(X3,sK5(X0,X1))
      | ~ id(X3,X2) ),
    inference(resolution,[],[f98,f69]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ id(X1,X2)
      | id(X0,X2)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ~ id(X1,X2)
      | id(X0,X2)
      | ~ id(X0,X1) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X16,X17,X18] :
      ( ~ id(X17,X18)
      | id(X16,X18)
      | ~ id(X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f686,plain,
    ! [X2,X3,X0,X1] :
      ( id(sK13(X0,X1),sK8(X2,X3))
      | ~ r3(X0,X1,sK6(X2,X3)) ),
    inference(resolution,[],[f228,f267]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( ~ id(X0,sK6(X1,X2))
      | id(X0,sK8(X1,X2)) ),
    inference(resolution,[],[f69,f127]) ).

fof(f127,plain,
    ! [X0,X1] : id(sK6(X0,X1),sK8(X0,X1)),
    inference(forward_literal_rewriting,[],[f102,f70]) ).

fof(f102,plain,
    ! [X0,X1] : id(sK8(X0,X1),sK6(X0,X1)),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem    : NUN082+1 : TPTP v8.2.0. Released v7.3.0.
% 0.14/0.13  % Command    : run_vampire %s %d THM
% 0.14/0.38  % Computer : n026.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Tue Jun 18 21:03:24 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.14/0.40  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.47  % (1908)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (1912)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.26/0.47  % (1908)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (1909)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.26/0.47  % (1908)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (1910)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.26/0.47  % (1908)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (1914)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.26/0.47  % (1908)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (1915)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.26/0.47  % (1908)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (1911)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.26/0.47  % (1908)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (1913)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.26/0.52  % (1909)Refutation not found, incomplete strategy% (1909)------------------------------
% 0.26/0.52  % (1909)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.26/0.52  % (1909)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.26/0.52  % (1909)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.52  
% 0.26/0.52  % (1909)Memory used [KB]: 2096
% 0.26/0.52  % (1909)Time elapsed: 0.056 s
% 0.26/0.52  % (1909)Instructions burned: 96 (million)
% 0.26/0.52  % (1909)------------------------------
% 0.26/0.52  % (1909)------------------------------
% 0.26/0.52  % (1913)Instruction limit reached!
% 0.26/0.52  % (1913)------------------------------
% 0.26/0.52  % (1913)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.26/0.52  % (1913)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.26/0.52  % (1913)Termination reason: Time limit
% 0.26/0.52  % (1913)Termination phase: Saturation
% 0.26/0.52  
% 0.26/0.52  % (1913)Memory used [KB]: 2394
% 0.26/0.52  % (1913)Time elapsed: 0.058 s
% 0.26/0.52  % (1913)Instructions burned: 108 (million)
% 0.26/0.53  % (1912)Instruction limit reached!
% 0.26/0.53  % (1912)------------------------------
% 0.26/0.53  % (1912)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.26/0.53  % (1912)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.26/0.53  % (1912)Termination reason: Time limit
% 0.26/0.53  % (1912)Termination phase: Saturation
% 0.26/0.53  
% 0.26/0.53  % (1912)Memory used [KB]: 2981
% 0.26/0.53  % (1912)Time elapsed: 0.062 s
% 0.26/0.53  % (1912)Instructions burned: 103 (million)
% 0.26/0.53  % (1914)Instruction limit reached!
% 0.26/0.53  % (1914)------------------------------
% 0.26/0.53  % (1914)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.26/0.53  % (1914)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.26/0.53  % (1914)Termination reason: Time limit
% 0.26/0.53  % (1914)Termination phase: Saturation
% 0.26/0.53  
% 0.26/0.53  % (1914)Memory used [KB]: 2324
% 0.26/0.53  % (1914)Time elapsed: 0.064 s
% 0.26/0.53  % (1914)Instructions burned: 116 (million)
% 0.26/0.53  % (1915)Instruction limit reached!
% 0.26/0.53  % (1915)------------------------------
% 0.26/0.53  % (1915)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.26/0.53  % (1915)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.26/0.53  % (1915)Termination reason: Time limit
% 0.26/0.53  % (1915)Termination phase: Saturation
% 0.26/0.53  
% 0.26/0.53  % (1915)Memory used [KB]: 1775
% 0.26/0.53  % (1915)Time elapsed: 0.065 s
% 0.26/0.53  % (1915)Instructions burned: 104 (million)
% 1.42/0.58  % (1908)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.58  % (1916)lrs+2_1:1_sil=4000:plsqc=4:plsq=on:plsqr=2,1:rp=on:i=110:nm=10:fde=unused:ep=RS:slsq=on:slsql=off:slsqr=1,8:erd=off_0 on theBenchmark for (2998ds/110Mi)
% 1.42/0.58  % (1908)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.58  % (1917)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=319:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/319Mi)
% 1.42/0.59  % (1908)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.59  % (1918)ott+1010_1:3_sil=8000:tgt=full:sp=occurrence:urr=on:br=off:nicw=on:i=121:sd=2:ss=axioms:sgt=8:gsp=on_0 on theBenchmark for (2998ds/121Mi)
% 1.42/0.59  % (1908)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.59  % (1920)lrs+1002_1:1_sil=16000:sp=occurrence:sos=on:urr=on:i=440:ss=axioms:sgt=10_0 on theBenchmark for (2998ds/440Mi)
% 1.42/0.59  % (1908)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.59  % (1921)lrs+1011_1:128_sil=2000:i=230:fsr=off:nwc=2.0_0 on theBenchmark for (2998ds/230Mi)
% 1.77/0.64  % (1916)Instruction limit reached!
% 1.77/0.64  % (1916)------------------------------
% 1.77/0.64  % (1916)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.77/0.64  % (1916)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.77/0.64  % (1916)Termination reason: Time limit
% 1.77/0.64  % (1916)Termination phase: Saturation
% 1.77/0.64  
% 1.77/0.64  % (1916)Memory used [KB]: 1888
% 1.77/0.64  % (1916)Time elapsed: 0.062 s
% 1.77/0.64  % (1916)Instructions burned: 111 (million)
% 1.88/0.65  % (1918)Instruction limit reached!
% 1.88/0.65  % (1918)------------------------------
% 1.88/0.65  % (1918)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.88/0.65  % (1918)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.88/0.65  % (1918)Termination reason: Time limit
% 1.88/0.65  % (1918)Termination phase: Saturation
% 1.88/0.65  
% 1.88/0.65  % (1918)Memory used [KB]: 3012
% 1.88/0.65  % (1918)Time elapsed: 0.063 s
% 1.88/0.65  % (1918)Instructions burned: 122 (million)
% 1.88/0.70  % (1908)Running in auto input_syntax mode. Trying TPTP
% 1.88/0.70  % (1923)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=113:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2997ds/113Mi)
% 1.88/0.70  % (1908)Running in auto input_syntax mode. Trying TPTP
% 1.88/0.70  % (1922)dis+2_1:3_sil=8000:nwc=5.0:st=3.0:s2a=on:i=119:s2at=2.5:sd=3:nm=2:ss=axioms_0 on theBenchmark for (2997ds/119Mi)
% 2.21/0.72  % (1921)Instruction limit reached!
% 2.21/0.72  % (1921)------------------------------
% 2.21/0.72  % (1921)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.21/0.72  % (1921)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.21/0.72  % (1921)Termination reason: Time limit
% 2.21/0.72  % (1921)Termination phase: Saturation
% 2.21/0.72  
% 2.21/0.72  % (1921)Memory used [KB]: 3215
% 2.21/0.72  % (1921)Time elapsed: 0.131 s
% 2.21/0.72  % (1921)Instructions burned: 231 (million)
% 2.21/0.74  % (1917)Instruction limit reached!
% 2.21/0.74  % (1917)------------------------------
% 2.21/0.74  % (1917)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.21/0.74  % (1917)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.21/0.74  % (1917)Termination reason: Time limit
% 2.21/0.74  % (1917)Termination phase: Saturation
% 2.21/0.74  
% 2.21/0.74  % (1917)Memory used [KB]: 2264
% 2.21/0.74  % (1917)Time elapsed: 0.162 s
% 2.21/0.74  % (1917)Instructions burned: 319 (million)
% 2.21/0.76  % (1923)Instruction limit reached!
% 2.21/0.76  % (1923)------------------------------
% 2.21/0.76  % (1923)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.21/0.76  % (1923)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.21/0.76  % (1923)Termination reason: Time limit
% 2.21/0.76  % (1923)Termination phase: Saturation
% 2.21/0.76  
% 2.21/0.76  % (1923)Memory used [KB]: 1700
% 2.21/0.76  % (1923)Time elapsed: 0.059 s
% 2.21/0.76  % (1923)Instructions burned: 114 (million)
% 2.42/0.77  % (1922)Instruction limit reached!
% 2.42/0.77  % (1922)------------------------------
% 2.42/0.77  % (1922)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.42/0.77  % (1922)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.42/0.77  % (1922)Termination reason: Time limit
% 2.42/0.77  % (1922)Termination phase: Saturation
% 2.42/0.77  
% 2.42/0.77  % (1922)Memory used [KB]: 2009
% 2.42/0.77  % (1922)Time elapsed: 0.095 s
% 2.42/0.77  % (1922)Instructions burned: 120 (million)
% 2.42/0.78  % (1908)Running in auto input_syntax mode. Trying TPTP
% 2.42/0.78  % (1924)dis-1010_1:4_sil=2000:tgt=ground:i=128:sd=2:nm=6:av=off:gsp=on:ss=axioms:nwc=10.0_0 on theBenchmark for (2996ds/128Mi)
% 2.42/0.80  % (1920)Instruction limit reached!
% 2.42/0.80  % (1920)------------------------------
% 2.42/0.80  % (1920)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.42/0.80  % (1908)Running in auto input_syntax mode. Trying TPTP
% 2.42/0.80  % (1925)lrs+4_1:8_sil=32000:abs=on:nwc=5.0:updr=off:i=963:nm=6:plsq=on:plsql=on:plsqc=1:plsqr=2,1_0 on theBenchmark for (2996ds/963Mi)
% 2.42/0.80  % (1920)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.42/0.80  % (1920)Termination reason: Time limit
% 2.42/0.80  % (1920)Termination phase: Saturation
% 2.42/0.80  
% 2.42/0.80  % (1920)Memory used [KB]: 4026
% 2.42/0.80  % (1920)Time elapsed: 0.214 s
% 2.42/0.80  % (1920)Instructions burned: 441 (million)
% 2.42/0.82  % (1908)Running in auto input_syntax mode. Trying TPTP
% 2.42/0.82  % (1926)dis+1002_1:128_to=lpo:sil=2000:fd=preordered:i=204:fsr=off:av=off:sos=on:s2a=on_0 on theBenchmark for (2996ds/204Mi)
% 2.42/0.83  % (1908)Running in auto input_syntax mode. Trying TPTP
% 2.42/0.83  % (1927)lrs+1011_1:1_sil=2000:plsq=on:plsqr=32,1:fs=off:gs=on:i=516:nm=0:fsr=off:rawr=on:nwc=0.5744209687727792_0 on theBenchmark for (2996ds/516Mi)
% 2.42/0.84  % (1924)Instruction limit reached!
% 2.42/0.84  % (1924)------------------------------
% 2.42/0.84  % (1924)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.42/0.84  % (1924)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.42/0.84  % (1924)Termination reason: Time limit
% 2.42/0.84  % (1924)Termination phase: Saturation
% 2.42/0.84  
% 2.42/0.84  % (1924)Memory used [KB]: 1933
% 2.42/0.84  % (1924)Time elapsed: 0.070 s
% 2.42/0.84  % (1924)Instructions burned: 129 (million)
% 3.00/0.86  % (1908)Running in auto input_syntax mode. Trying TPTP
% 3.00/0.86  % (1928)lrs+21_9739:1048576_drc=off:sil=128000:tgt=ground:spb=non_intro:s2a=on:i=1028:s2at=2.0:kws=precedence:sp=reverse_arity:awrs=decay:awrsf=270_0 on theBenchmark for (2996ds/1028Mi)
% 3.08/0.90  % (1908)Running in auto input_syntax mode. Trying TPTP
% 3.08/0.90  % (1929)ott-1011_3:2_to=lpo:drc=off:sil=2000:sims=off:sos=on:lma=on:spb=goal_then_units:lcm=predicate:fd=preordered:rp=on:newcnf=on:avsq=on:i=340:ins=1:fsr=off:avsqc=4:aac=none:plsq=on:plsqc=1:plsqr=32,1:fs=off_0 on theBenchmark for (2995ds/340Mi)
% 3.08/0.92  % (1926)Instruction limit reached!
% 3.08/0.92  % (1926)------------------------------
% 3.08/0.92  % (1926)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.08/0.92  % (1926)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.08/0.92  % (1926)Termination reason: Time limit
% 3.08/0.92  % (1926)Termination phase: Saturation
% 3.08/0.92  
% 3.08/0.92  % (1926)Memory used [KB]: 2631
% 3.08/0.92  % (1926)Time elapsed: 0.105 s
% 3.08/0.92  % (1926)Instructions burned: 204 (million)
% 3.36/0.98  % (1908)Running in auto input_syntax mode. Trying TPTP
% 3.36/0.98  % (1930)dis+1011_3:8_bsr=unit_only:slsqr=1,16:sil=2000:plsq=on:plsqr=296,127:sp=reverse_frequency:lsd=5:nwc=10.0:slsqc=3:slsq=on:st=3.0:i=225:s2at=4.5:sd=4:slsql=off:nm=16:ins=5:ss=axioms:sgt=20:rawr=on:urr=ec_only:to=lpo_0 on theBenchmark for (2994ds/225Mi)
% 4.87/1.09  % (1929)Instruction limit reached!
% 4.87/1.09  % (1929)------------------------------
% 4.87/1.09  % (1929)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.87/1.09  % (1929)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.87/1.09  % (1929)Termination reason: Time limit
% 4.87/1.09  % (1929)Termination phase: Saturation
% 4.87/1.09  
% 4.87/1.09  % (1929)Memory used [KB]: 5085
% 4.87/1.09  % (1929)Time elapsed: 0.189 s
% 4.87/1.09  % (1929)Instructions burned: 340 (million)
% 4.87/1.09  % (1930)Instruction limit reached!
% 4.87/1.09  % (1930)------------------------------
% 4.87/1.09  % (1930)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.87/1.09  % (1930)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.87/1.09  % (1930)Termination reason: Time limit
% 4.87/1.09  % (1930)Termination phase: Saturation
% 4.87/1.09  
% 4.87/1.09  % (1930)Memory used [KB]: 2292
% 4.87/1.09  % (1930)Time elapsed: 0.112 s
% 4.87/1.09  % (1930)Instructions burned: 225 (million)
% 4.87/1.12  % (1927)Instruction limit reached!
% 4.87/1.12  % (1927)------------------------------
% 4.87/1.12  % (1927)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.87/1.12  % (1927)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.87/1.12  % (1927)Termination reason: Time limit
% 4.87/1.12  % (1927)Termination phase: Saturation
% 4.87/1.12  
% 4.87/1.12  % (1927)Memory used [KB]: 8594
% 4.87/1.12  % (1927)Time elapsed: 0.292 s
% 4.87/1.12  % (1927)Instructions burned: 517 (million)
% 4.87/1.15  % (1908)Running in auto input_syntax mode. Trying TPTP
% 4.87/1.15  % (1931)dis+1011_1:1_bsr=unit_only:slsqr=1,2:sil=2000:plsqc=1:plsq=on:plsqr=32,1:lsd=20:plsql=on:slsqc=1:slsq=on:i=732:slsql=off:nm=2:uhcvi=on:rawr=on:fsr=off:avsq=on:avsqr=9387,262144_0 on theBenchmark for (2993ds/732Mi)
% 4.87/1.15  % (1908)Running in auto input_syntax mode. Trying TPTP
% 4.87/1.15  % (1932)dis+1011_3:1_sil=64000:lsd=10:slsq=on:s2a=on:i=231:ep=RS:nm=2:ss=axioms_0 on theBenchmark for (2993ds/231Mi)
% 5.33/1.18  % (1908)Running in auto input_syntax mode. Trying TPTP
% 5.33/1.18  % (1933)lrs-32_1:1024_sil=8000:sos=on:i=752:nm=4:updr=off_0 on theBenchmark for (2992ds/752Mi)
% 5.60/1.27  % (1932)Instruction limit reached!
% 5.60/1.27  % (1932)------------------------------
% 5.60/1.27  % (1932)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.60/1.27  % (1932)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.60/1.27  % (1932)Termination reason: Time limit
% 5.60/1.27  % (1932)Termination phase: Saturation
% 5.60/1.27  
% 5.60/1.27  % (1932)Memory used [KB]: 1980
% 5.60/1.27  % (1932)Time elapsed: 0.125 s
% 5.60/1.27  % (1932)Instructions burned: 231 (million)
% 5.60/1.29  % (1925)Instruction limit reached!
% 5.60/1.29  % (1925)------------------------------
% 5.60/1.29  % (1925)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.60/1.29  % (1925)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.60/1.29  % (1925)Termination reason: Time limit
% 5.60/1.29  % (1925)Termination phase: Saturation
% 5.60/1.29  
% 5.60/1.29  % (1925)Memory used [KB]: 5222
% 5.60/1.29  % (1925)Time elapsed: 0.489 s
% 5.60/1.29  % (1925)Instructions burned: 963 (million)
% 6.13/1.33  % (1908)Running in auto input_syntax mode. Trying TPTP
% 6.13/1.33  % (1934)lrs+10_1:2_sil=2000:spb=units:nwc=10.0:flr=on:i=1025:fsr=off:ss=axioms_0 on theBenchmark for (2991ds/1025Mi)
% 6.13/1.35  % (1908)Running in auto input_syntax mode. Trying TPTP
% 6.13/1.35  % (1935)lrs+1011_1:128_bsr=unit_only:sil=4000:plsq=on:plsqr=27,2:lsd=5:plsql=on:nwc=3.0:i=1583:rawr=on_0 on theBenchmark for (2991ds/1583Mi)
% 6.13/1.38  % (1928)Instruction limit reached!
% 6.13/1.38  % (1928)------------------------------
% 6.13/1.38  % (1928)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.13/1.38  % (1928)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.13/1.38  % (1928)Termination reason: Time limit
% 6.13/1.38  % (1928)Termination phase: Saturation
% 6.13/1.38  
% 6.13/1.38  % (1928)Memory used [KB]: 6107
% 6.13/1.38  % (1928)Time elapsed: 0.523 s
% 6.13/1.38  % (1928)Instructions burned: 1028 (million)
% 6.32/1.43  % (1931)Instruction limit reached!
% 6.32/1.43  % (1931)------------------------------
% 6.32/1.43  % (1931)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.32/1.43  % (1931)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.32/1.43  % (1931)Termination reason: Time limit
% 6.32/1.43  % (1931)Termination phase: Saturation
% 6.32/1.43  
% 6.32/1.43  % (1931)Memory used [KB]: 3039
% 6.32/1.43  % (1931)Time elapsed: 0.289 s
% 6.32/1.43  % (1931)Instructions burned: 733 (million)
% 6.32/1.44  % (1908)Running in auto input_syntax mode. Trying TPTP
% 6.32/1.44  % (1936)lrs+1010_1:8_sil=4000:sos=on:urr=on:rnwc=on:nwc=10.0:i=398:sup=off:kws=frequency_0 on theBenchmark for (2990ds/398Mi)
% 6.82/1.49  % (1908)Running in auto input_syntax mode. Trying TPTP
% 6.82/1.49  % (1937)dis+1002_1:85_sil=4000:nwc=10.0:i=404:s2at=2.0:av=off:slsq=on:slsqc=2:fsr=off_0 on theBenchmark for (2989ds/404Mi)
% 6.95/1.56  % (1933)Instruction limit reached!
% 6.95/1.56  % (1933)------------------------------
% 6.95/1.56  % (1933)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.95/1.56  % (1933)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.95/1.56  % (1933)Termination reason: Time limit
% 6.95/1.56  % (1933)Termination phase: Saturation
% 6.95/1.56  
% 6.95/1.56  % (1933)Memory used [KB]: 3747
% 6.95/1.56  % (1933)Time elapsed: 0.381 s
% 6.95/1.56  % (1933)Instructions burned: 753 (million)
% 6.95/1.62  % (1908)Running in auto input_syntax mode. Trying TPTP
% 6.95/1.62  % (1938)lrs+1010_1:32_bsr=on:sil=4000:i=483:nm=2:gsp=on_0 on theBenchmark for (2988ds/483Mi)
% 7.57/1.64  % (1936)Instruction limit reached!
% 7.57/1.64  % (1936)------------------------------
% 7.57/1.64  % (1936)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.57/1.64  % (1936)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.57/1.64  % (1936)Termination reason: Time limit
% 7.57/1.64  % (1936)Termination phase: Saturation
% 7.57/1.64  
% 7.57/1.64  % (1936)Memory used [KB]: 4594
% 7.57/1.64  % (1936)Time elapsed: 0.198 s
% 7.57/1.64  % (1936)Instructions burned: 400 (million)
% 7.57/1.69  % (1937)Instruction limit reached!
% 7.57/1.69  % (1937)------------------------------
% 7.57/1.69  % (1937)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.57/1.69  % (1937)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.57/1.69  % (1937)Termination reason: Time limit
% 7.57/1.69  % (1937)Termination phase: Saturation
% 7.57/1.69  
% 7.57/1.69  % (1937)Memory used [KB]: 3697
% 7.57/1.69  % (1937)Time elapsed: 0.200 s
% 7.57/1.69  % (1937)Instructions burned: 404 (million)
% 7.57/1.70  % (1908)Running in auto input_syntax mode. Trying TPTP
% 7.57/1.70  % (1939)lrs+1011_4:1_sil=2000:sp=const_max:sos=on:bce=on:avsq=on:i=499:sd=4:kws=inv_frequency:avsqr=1,16:nm=2:ss=axioms:uhcvi=on:fs=off:fsr=off:s2a=on:etr=on:anc=none:avsqc=5_0 on theBenchmark for (2987ds/499Mi)
% 9.28/1.73  % (1934)First to succeed.
% 9.28/1.73  % (1934)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1908"
% 9.28/1.73  % (1908)Running in auto input_syntax mode. Trying TPTP
% 9.28/1.73  % (1934)Refutation found. Thanks to Tanya!
% 9.28/1.73  % SZS status Theorem for theBenchmark
% 9.28/1.73  % SZS output start Proof for theBenchmark
% See solution above
% 9.28/1.73  % (1934)------------------------------
% 9.28/1.73  % (1934)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.28/1.73  % (1934)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.28/1.73  % (1934)Termination reason: Refutation
% 9.28/1.73  
% 9.28/1.73  % (1934)Memory used [KB]: 3904
% 9.28/1.73  % (1934)Time elapsed: 0.402 s
% 9.28/1.73  % (1934)Instructions burned: 793 (million)
% 9.28/1.73  % (1934)------------------------------
% 9.28/1.73  % (1934)------------------------------
% 9.28/1.73  % (1908)Success in time 1.318 s
%------------------------------------------------------------------------------