TSTP Solution File: NUN066+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUN066+1 : TPTP v8.1.0. Released v7.3.0.
% 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 : n027.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 18:07:39 EDT 2022

% Result   : Theorem 2.32s 0.71s
% Output   : Refutation 2.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  101 (  10 unt;   0 def)
%            Number of atoms       :  317 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  365 ( 149   ~; 157   |;  53   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  205 ( 183   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1415,plain,
    $false,
    inference(resolution,[],[f1335,f74]) ).

fof(f74,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] : id(X0,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13] : id(X13,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f1335,plain,
    ! [X10,X9] : ~ id(X9,sK5(sK3(X10))),
    inference(subsumption_resolution,[],[f1332,f1244]) ).

fof(f1244,plain,
    ! [X3] : r1(X3),
    inference(subsumption_resolution,[],[f1228,f1137]) ).

fof(f1137,plain,
    ! [X0] : r1(sK5(X0)),
    inference(subsumption_resolution,[],[f1133,f169]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ r1(sK7(X0))
      | r1(sK5(X0)) ),
    inference(resolution,[],[f121,f74]) ).

fof(f121,plain,
    ! [X10,X9] :
      ( ~ id(X10,sK7(X9))
      | r1(sK5(X9))
      | ~ r1(X10) ),
    inference(resolution,[],[f67,f79]) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X1,X0)
      | ~ id(X2,X0)
      | ~ r1(X2) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ id(X2,X0)
          | ~ r1(X2) )
      | ~ r2(X1,X0) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X65,X64] :
      ( ! [X66] :
          ( ~ id(X66,X65)
          | ~ r1(X66) )
      | ~ r2(X64,X65) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).

fof(f67,plain,
    ! [X0] :
      ( r2(sK8(X0),sK7(X0))
      | r1(sK5(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ( r1(sK5(X0))
        & id(X0,sK5(X0)) )
      | ( r1(sK8(X0))
        & r2(sK8(X0),sK7(X0))
        & r2(sK7(X0),sK6(X0))
        & id(X0,sK6(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f31,f44,f43,f42,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ? [X1] :
          ( r1(X1)
          & id(X0,X1) )
     => ( r1(sK5(X0))
        & id(X0,sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( r1(X4)
                  & r2(X4,X3) )
              & r2(X3,X2) )
          & id(X0,X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( r1(X4)
                & r2(X4,X3) )
            & r2(X3,sK6(X0)) )
        & id(X0,sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ! [X0] :
      ( ? [X3] :
          ( ? [X4] :
              ( r1(X4)
              & r2(X4,X3) )
          & r2(X3,sK6(X0)) )
     => ( ? [X4] :
            ( r1(X4)
            & r2(X4,sK7(X0)) )
        & r2(sK7(X0),sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ! [X0] :
      ( ? [X4] :
          ( r1(X4)
          & r2(X4,sK7(X0)) )
     => ( r1(sK8(X0))
        & r2(sK8(X0),sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X1] :
          ( r1(X1)
          & id(X0,X1) )
      | ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( r1(X4)
                  & r2(X4,X3) )
              & r2(X3,X2) )
          & id(X0,X2) ) ),
    inference(ennf_transformation,[],[f21]) ).

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

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

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

fof(f1133,plain,
    ! [X0] :
      ( r1(sK7(X0))
      | r1(sK5(X0)) ),
    inference(resolution,[],[f1132,f652]) ).

fof(f652,plain,
    ! [X0] :
      ( r2(sK4,sK7(X0))
      | r1(sK5(X0)) ),
    inference(resolution,[],[f321,f74]) ).

fof(f321,plain,
    ! [X10,X9] :
      ( ~ id(sK7(X9),X10)
      | r1(sK5(X9))
      | r2(sK4,X10) ),
    inference(subsumption_resolution,[],[f307,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( r1(sK8(X0))
      | r1(sK5(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f307,plain,
    ! [X10,X9] :
      ( r1(sK5(X9))
      | ~ id(sK7(X9),X10)
      | r2(sK4,X10)
      | ~ r1(sK8(X9)) ),
    inference(resolution,[],[f118,f59]) ).

fof(f59,plain,
    ! [X1] :
      ( id(X1,sK4)
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X1] :
      ( ( id(X1,sK4)
        & r1(X1) )
      | ( ~ r1(X1)
        & ~ id(X1,sK4) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f1,f39]) ).

fof(f39,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( id(X1,X0)
          & r1(X1) )
        | ( ~ r1(X1)
          & ~ id(X1,X0) ) )
   => ! [X1] :
        ( ( id(X1,sK4)
          & r1(X1) )
        | ( ~ r1(X1)
          & ~ id(X1,sK4) ) ) ),
    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',axiom_1) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK8(X0),X1)
      | ~ id(sK7(X0),X2)
      | r1(sK5(X0))
      | r2(X1,X2) ),
    inference(resolution,[],[f67,f70]) ).

fof(f70,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X0,X1)
      | ~ id(X0,X2)
      | r2(X2,X3)
      | ~ id(X1,X3) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ r2(X2,X3)
        & ~ r2(X0,X1) )
      | ~ id(X1,X3)
      | ( r2(X2,X3)
        & r2(X0,X1) )
      | ~ id(X0,X2) ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ! [X2,X3,X1,X0] :
      ( ( ~ r2(X1,X0)
        & ~ r2(X2,X3) )
      | ~ id(X3,X0)
      | ( r2(X1,X0)
        & r2(X2,X3) )
      | ~ id(X2,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X24,X23,X21,X22] :
      ( ( ~ r2(X21,X22)
        & ~ r2(X23,X24) )
      | ( r2(X21,X22)
        & r2(X23,X24) )
      | ~ id(X21,X23)
      | ~ id(X22,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f1132,plain,
    ! [X3] :
      ( ~ r2(sK4,X3)
      | r1(X3) ),
    inference(subsumption_resolution,[],[f1122,f891]) ).

fof(f891,plain,
    ! [X5] :
      ( ~ r2(sK4,X5)
      | r1(sK5(X5)) ),
    inference(subsumption_resolution,[],[f885,f169]) ).

fof(f885,plain,
    ! [X5] :
      ( r1(sK5(X5))
      | r1(sK7(X5))
      | ~ r2(sK4,X5) ),
    inference(resolution,[],[f847,f302]) ).

fof(f302,plain,
    ! [X2,X3] :
      ( id(X2,sK7(X3))
      | r1(sK5(X3))
      | ~ r2(X2,X3) ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f291,plain,
    ! [X2,X3] :
      ( ~ r2(X2,X3)
      | r1(sK5(X3))
      | id(X2,sK7(X3))
      | r1(sK5(X3)) ),
    inference(resolution,[],[f95,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( id(X0,sK6(X0))
      | r1(sK5(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f95,plain,
    ! [X8,X6,X7] :
      ( ~ id(X8,sK6(X6))
      | ~ r2(X7,X8)
      | r1(sK5(X6))
      | id(X7,sK7(X6)) ),
    inference(resolution,[],[f66,f73]) ).

fof(f73,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X1,X2)
      | id(X0,X1)
      | ~ id(X3,X2)
      | ~ r2(X0,X3) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( id(X0,X1)
      | ! [X2] :
          ( ~ r2(X1,X2)
          | ! [X3] :
              ( ~ r2(X0,X3)
              | ~ id(X3,X2) ) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X49,X50] :
      ( ! [X51] :
          ( ~ r2(X50,X51)
          | ! [X52] :
              ( ~ r2(X49,X52)
              | ~ id(X52,X51) ) )
      | id(X49,X50) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).

fof(f66,plain,
    ! [X0] :
      ( r2(sK7(X0),sK6(X0))
      | r1(sK5(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f847,plain,
    ! [X3] :
      ( ~ id(sK4,X3)
      | r1(X3) ),
    inference(subsumption_resolution,[],[f838,f619]) ).

fof(f619,plain,
    ! [X15] :
      ( ~ id(sK4,X15)
      | r1(sK5(X15)) ),
    inference(subsumption_resolution,[],[f602,f159]) ).

fof(f159,plain,
    ! [X2] :
      ( ~ r1(sK6(X2))
      | r1(sK5(X2)) ),
    inference(resolution,[],[f96,f74]) ).

fof(f96,plain,
    ! [X10,X9] :
      ( ~ id(X10,sK6(X9))
      | ~ r1(X10)
      | r1(sK5(X9)) ),
    inference(resolution,[],[f66,f79]) ).

fof(f602,plain,
    ! [X15] :
      ( ~ id(sK4,X15)
      | r1(sK6(X15))
      | r1(sK5(X15)) ),
    inference(resolution,[],[f182,f56]) ).

fof(f56,plain,
    ! [X1] :
      ( ~ id(X1,sK4)
      | r1(X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f182,plain,
    ! [X6,X7] :
      ( id(sK6(X6),X7)
      | r1(sK5(X6))
      | ~ id(X7,X6) ),
    inference(resolution,[],[f88,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X1,X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,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',axiom_6) ).

fof(f88,plain,
    ! [X3,X4] :
      ( id(X4,sK6(X3))
      | r1(sK5(X3))
      | ~ id(X4,X3) ),
    inference(resolution,[],[f65,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ id(X2,X0)
      | id(X1,X0)
      | ~ id(X1,X2) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ~ id(X2,X0)
      | id(X1,X0)
      | ~ id(X1,X2) ),
    inference(rectify,[],[f29]) ).

fof(f29,plain,
    ! [X0,X2,X1] :
      ( ~ id(X1,X0)
      | id(X2,X0)
      | ~ id(X2,X1) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X18,X17,X16] :
      ( id(X16,X18)
      | ~ id(X16,X17)
      | ~ id(X17,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f838,plain,
    ! [X3] :
      ( ~ r1(sK5(X3))
      | r1(X3)
      | ~ id(sK4,X3) ),
    inference(resolution,[],[f776,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | r1(X0)
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | ( ~ r1(X1)
        & ~ r1(X0) )
      | ( r1(X0)
        & r1(X1) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X19,X20] :
      ( ~ id(X19,X20)
      | ( ~ r1(X20)
        & ~ r1(X19) )
      | ( r1(X19)
        & r1(X20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f776,plain,
    ! [X15] :
      ( id(X15,sK5(X15))
      | ~ id(sK4,X15) ),
    inference(subsumption_resolution,[],[f766,f189]) ).

fof(f189,plain,
    ! [X4] :
      ( id(X4,sK5(X4))
      | ~ r1(sK6(X4)) ),
    inference(resolution,[],[f125,f74]) ).

fof(f125,plain,
    ! [X10,X9] :
      ( ~ id(X10,sK6(X9))
      | ~ r1(X10)
      | id(X9,sK5(X9)) ),
    inference(resolution,[],[f62,f79]) ).

fof(f62,plain,
    ! [X0] :
      ( r2(sK7(X0),sK6(X0))
      | id(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f766,plain,
    ! [X15] :
      ( id(X15,sK5(X15))
      | ~ id(sK4,X15)
      | r1(sK6(X15)) ),
    inference(resolution,[],[f229,f56]) ).

fof(f229,plain,
    ! [X8,X9] :
      ( id(sK6(X8),X9)
      | ~ id(X9,X8)
      | id(X8,sK5(X8)) ),
    inference(resolution,[],[f92,f60]) ).

fof(f92,plain,
    ! [X3,X4] :
      ( id(X4,sK6(X3))
      | id(X3,sK5(X3))
      | ~ id(X4,X3) ),
    inference(resolution,[],[f61,f47]) ).

fof(f61,plain,
    ! [X0] :
      ( id(X0,sK6(X0))
      | id(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f1122,plain,
    ! [X3] :
      ( r1(X3)
      | ~ r2(sK4,X3)
      | ~ r1(sK5(X3)) ),
    inference(resolution,[],[f949,f78]) ).

fof(f949,plain,
    ! [X19] :
      ( id(X19,sK5(X19))
      | ~ r2(sK4,X19) ),
    inference(subsumption_resolution,[],[f945,f210]) ).

fof(f210,plain,
    ! [X0] :
      ( id(X0,sK5(X0))
      | ~ r1(sK7(X0)) ),
    inference(resolution,[],[f129,f74]) ).

fof(f129,plain,
    ! [X10,X9] :
      ( ~ id(X10,sK7(X9))
      | id(X9,sK5(X9))
      | ~ r1(X10) ),
    inference(resolution,[],[f63,f79]) ).

fof(f63,plain,
    ! [X0] :
      ( r2(sK8(X0),sK7(X0))
      | id(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f945,plain,
    ! [X19] :
      ( ~ r2(sK4,X19)
      | r1(sK7(X19))
      | id(X19,sK5(X19)) ),
    inference(resolution,[],[f403,f847]) ).

fof(f403,plain,
    ! [X0,X1] :
      ( id(X1,sK7(X0))
      | id(X0,sK5(X0))
      | ~ r2(X1,X0) ),
    inference(duplicate_literal_removal,[],[f391]) ).

fof(f391,plain,
    ! [X0,X1] :
      ( ~ r2(X1,X0)
      | id(X1,sK7(X0))
      | id(X0,sK5(X0))
      | id(X0,sK5(X0)) ),
    inference(resolution,[],[f124,f61]) ).

fof(f124,plain,
    ! [X8,X6,X7] :
      ( ~ id(X8,sK6(X6))
      | id(X6,sK5(X6))
      | id(X7,sK7(X6))
      | ~ r2(X7,X8) ),
    inference(resolution,[],[f62,f73]) ).

fof(f1228,plain,
    ! [X3] :
      ( r1(X3)
      | ~ r1(sK5(X3)) ),
    inference(resolution,[],[f1206,f78]) ).

fof(f1206,plain,
    ! [X30] : id(X30,sK5(X30)),
    inference(subsumption_resolution,[],[f1205,f950]) ).

fof(f950,plain,
    ! [X0] :
      ( r2(sK4,sK7(X0))
      | id(X0,sK5(X0)) ),
    inference(resolution,[],[f452,f74]) ).

fof(f452,plain,
    ! [X10,X9] :
      ( ~ id(sK7(X10),X9)
      | id(X10,sK5(X10))
      | r2(sK4,X9) ),
    inference(subsumption_resolution,[],[f438,f64]) ).

fof(f64,plain,
    ! [X0] :
      ( id(X0,sK5(X0))
      | r1(sK8(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f438,plain,
    ! [X10,X9] :
      ( r2(sK4,X9)
      | ~ r1(sK8(X10))
      | ~ id(sK7(X10),X9)
      | id(X10,sK5(X10)) ),
    inference(resolution,[],[f126,f59]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK8(X0),X1)
      | r2(X1,X2)
      | ~ id(sK7(X0),X2)
      | id(X0,sK5(X0)) ),
    inference(resolution,[],[f63,f70]) ).

fof(f1205,plain,
    ! [X30] :
      ( id(X30,sK5(X30))
      | ~ r2(sK4,sK7(X30)) ),
    inference(subsumption_resolution,[],[f1192,f1137]) ).

fof(f1192,plain,
    ! [X30] :
      ( ~ r2(sK4,sK7(X30))
      | id(X30,sK5(X30))
      | ~ r1(sK5(sK7(X30))) ),
    inference(resolution,[],[f1124,f129]) ).

fof(f1124,plain,
    ! [X5] :
      ( id(sK5(X5),X5)
      | ~ r2(sK4,X5) ),
    inference(resolution,[],[f949,f60]) ).

fof(f1332,plain,
    ! [X10,X9] :
      ( ~ r1(X9)
      | ~ id(X9,sK5(sK3(X10))) ),
    inference(resolution,[],[f1303,f79]) ).

fof(f1303,plain,
    ! [X7] : r2(X7,sK5(sK3(X7))),
    inference(resolution,[],[f1230,f52]) ).

fof(f52,plain,
    ! [X2,X0] :
      ( ~ id(X2,sK3(X0))
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X2] :
      ( ( id(X2,sK3(X0))
        & r2(X0,X2) )
      | ( ~ r2(X0,X2)
        & ~ id(X2,sK3(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f25,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( id(X2,X1)
            & r2(X0,X2) )
          | ( ~ r2(X0,X2)
            & ~ id(X2,X1) ) )
     => ! [X2] :
          ( ( id(X2,sK3(X0))
            & r2(X0,X2) )
          | ( ~ r2(X0,X2)
            & ~ id(X2,sK3(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( id(X2,X1)
        & r2(X0,X2) )
      | ( ~ r2(X0,X2)
        & ~ id(X2,X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( ~ r2(X2,X4)
        & ~ id(X4,X3) )
      | ( id(X4,X3)
        & r2(X2,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f1230,plain,
    ! [X5] : id(sK5(X5),X5),
    inference(resolution,[],[f1206,f60]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUN066+1 : TPTP v8.1.0. Released v7.3.0.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 10:00:01 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.46  % (1964)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)
% 0.18/0.46  % (1956)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)
% 0.18/0.47  % (1956)Instruction limit reached!
% 0.18/0.47  % (1956)------------------------------
% 0.18/0.47  % (1956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (1956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (1956)Termination reason: Unknown
% 0.18/0.47  % (1956)Termination phase: Saturation
% 0.18/0.47  
% 0.18/0.47  % (1956)Memory used [KB]: 6012
% 0.18/0.47  % (1956)Time elapsed: 0.005 s
% 0.18/0.47  % (1956)Instructions burned: 3 (million)
% 0.18/0.47  % (1956)------------------------------
% 0.18/0.47  % (1956)------------------------------
% 0.18/0.48  % (1947)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)
% 0.18/0.48  % (1945)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)
% 0.18/0.48  % (1950)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)
% 0.18/0.48  % (1950)Refutation not found, incomplete strategy% (1950)------------------------------
% 0.18/0.48  % (1950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (1950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (1950)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48  
% 0.18/0.48  % (1950)Memory used [KB]: 6012
% 0.18/0.48  % (1950)Time elapsed: 0.095 s
% 0.18/0.48  % (1950)Instructions burned: 2 (million)
% 0.18/0.48  % (1950)------------------------------
% 0.18/0.48  % (1950)------------------------------
% 0.18/0.49  % (1968)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)
% 0.18/0.49  % (1957)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  % (1959)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (1959)Instruction limit reached!
% 0.18/0.49  % (1959)------------------------------
% 0.18/0.49  % (1959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (1959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (1959)Termination reason: Unknown
% 0.18/0.49  % (1959)Termination phase: Finite model building preprocessing
% 0.18/0.49  
% 0.18/0.49  % (1959)Memory used [KB]: 1535
% 0.18/0.49  % (1959)Time elapsed: 0.003 s
% 0.18/0.49  % (1959)Instructions burned: 3 (million)
% 0.18/0.49  % (1959)------------------------------
% 0.18/0.49  % (1959)------------------------------
% 0.18/0.49  % (1957)Instruction limit reached!
% 0.18/0.49  % (1957)------------------------------
% 0.18/0.49  % (1957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (1952)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)
% 0.18/0.50  % (1948)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)
% 0.18/0.50  % (1941)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50  % (1965)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)
% 0.18/0.51  % (1945)Instruction limit reached!
% 0.18/0.51  % (1945)------------------------------
% 0.18/0.51  % (1945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (1945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (1945)Termination reason: Unknown
% 0.18/0.51  % (1945)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (1945)Memory used [KB]: 6012
% 0.18/0.51  % (1945)Time elapsed: 0.117 s
% 0.18/0.51  % (1945)Instructions burned: 14 (million)
% 0.18/0.51  % (1945)------------------------------
% 0.18/0.51  % (1945)------------------------------
% 0.18/0.51  % (1957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (1957)Termination reason: Unknown
% 0.18/0.51  % (1957)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (1957)Memory used [KB]: 6012
% 0.18/0.51  % (1957)Time elapsed: 0.105 s
% 0.18/0.51  % (1957)Instructions burned: 7 (million)
% 0.18/0.51  % (1957)------------------------------
% 0.18/0.51  % (1957)------------------------------
% 0.18/0.51  % (1944)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)
% 0.18/0.51  % (1952)Instruction limit reached!
% 0.18/0.51  % (1952)------------------------------
% 0.18/0.51  % (1952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (1952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (1952)Termination reason: Unknown
% 0.18/0.51  % (1952)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (1952)Memory used [KB]: 6140
% 0.18/0.51  % (1952)Time elapsed: 0.119 s
% 0.18/0.51  % (1952)Instructions burned: 13 (million)
% 0.18/0.51  % (1952)------------------------------
% 0.18/0.51  % (1952)------------------------------
% 0.18/0.52  % (1943)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)
% 0.18/0.52  % (1955)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)
% 0.18/0.52  % (1943)Instruction limit reached!
% 0.18/0.52  % (1943)------------------------------
% 0.18/0.52  % (1943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (1943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (1943)Termination reason: Unknown
% 0.18/0.52  % (1943)Termination phase: Property scanning
% 0.18/0.52  
% 0.18/0.52  % (1943)Memory used [KB]: 1535
% 0.18/0.52  % (1943)Time elapsed: 0.002 s
% 0.18/0.52  % (1943)Instructions burned: 3 (million)
% 0.18/0.52  % (1943)------------------------------
% 0.18/0.52  % (1943)------------------------------
% 0.18/0.52  % (1953)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  % (1954)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)
% 0.18/0.52  % (1953)Instruction limit reached!
% 0.18/0.52  % (1953)------------------------------
% 0.18/0.52  % (1953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (1953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (1953)Termination reason: Unknown
% 0.18/0.52  % (1953)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (1953)Memory used [KB]: 6012
% 0.18/0.52  % (1953)Time elapsed: 0.127 s
% 0.18/0.52  % (1953)Instructions burned: 8 (million)
% 0.18/0.52  % (1953)------------------------------
% 0.18/0.52  % (1953)------------------------------
% 0.18/0.52  % (1949)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)
% 0.18/0.52  % (1961)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  % (1942)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)
% 0.18/0.53  % (1970)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  % (1967)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)
% 0.18/0.53  % (1966)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)
% 0.18/0.53  % (1944)Refutation not found, incomplete strategy% (1944)------------------------------
% 0.18/0.53  % (1944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (1944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (1944)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (1944)Memory used [KB]: 6012
% 0.18/0.53  % (1944)Time elapsed: 0.145 s
% 0.18/0.53  % (1944)Instructions burned: 3 (million)
% 0.18/0.53  % (1944)------------------------------
% 0.18/0.53  % (1944)------------------------------
% 0.18/0.53  % (1971)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  % (1962)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)
% 0.18/0.53  % (1963)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)
% 0.18/0.53  % (1960)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)
% 0.18/0.54  % (1960)Instruction limit reached!
% 0.18/0.54  % (1960)------------------------------
% 0.18/0.54  % (1960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (1960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (1960)Termination reason: Unknown
% 0.18/0.54  % (1960)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (1960)Memory used [KB]: 6012
% 0.18/0.54  % (1960)Time elapsed: 0.150 s
% 0.18/0.54  % (1960)Instructions burned: 3 (million)
% 0.18/0.54  % (1960)------------------------------
% 0.18/0.54  % (1960)------------------------------
% 0.18/0.54  % (1958)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)
% 0.18/0.54  % (1946)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)
% 0.18/0.54  % (1942)Instruction limit reached!
% 0.18/0.54  % (1942)------------------------------
% 0.18/0.54  % (1942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (1942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (1942)Termination reason: Unknown
% 0.18/0.54  % (1942)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (1942)Memory used [KB]: 6140
% 0.18/0.54  % (1942)Time elapsed: 0.140 s
% 0.18/0.54  % (1942)Instructions burned: 13 (million)
% 0.18/0.54  % (1942)------------------------------
% 0.18/0.54  % (1942)------------------------------
% 0.18/0.54  % (1969)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)
% 0.18/0.54  % (1946)Instruction limit reached!
% 0.18/0.54  % (1946)------------------------------
% 0.18/0.54  % (1946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (1946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (1946)Termination reason: Unknown
% 0.18/0.54  % (1946)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (1946)Memory used [KB]: 1535
% 0.18/0.54  % (1946)Time elapsed: 0.151 s
% 0.18/0.54  % (1946)Instructions burned: 15 (million)
% 0.18/0.54  % (1946)------------------------------
% 0.18/0.54  % (1946)------------------------------
% 0.18/0.55  % (1954)Instruction limit reached!
% 0.18/0.55  % (1954)------------------------------
% 0.18/0.55  % (1954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (1954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (1954)Termination reason: Unknown
% 0.18/0.55  % (1954)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (1954)Memory used [KB]: 1663
% 0.18/0.55  % (1954)Time elapsed: 0.156 s
% 0.18/0.55  % (1954)Instructions burned: 16 (million)
% 0.18/0.55  % (1954)------------------------------
% 0.18/0.55  % (1954)------------------------------
% 0.18/0.55  % (1970)Instruction limit reached!
% 0.18/0.55  % (1970)------------------------------
% 0.18/0.55  % (1970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (1970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (1970)Termination reason: Unknown
% 0.18/0.55  % (1970)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (1970)Memory used [KB]: 6140
% 0.18/0.55  % (1970)Time elapsed: 0.142 s
% 0.18/0.55  % (1970)Instructions burned: 8 (million)
% 0.18/0.55  % (1970)------------------------------
% 0.18/0.55  % (1970)------------------------------
% 0.18/0.55  % (1961)Instruction limit reached!
% 0.18/0.55  % (1961)------------------------------
% 0.18/0.55  % (1961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (1961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (1961)Termination reason: Unknown
% 0.18/0.55  % (1961)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (1961)Memory used [KB]: 6140
% 0.18/0.55  % (1961)Time elapsed: 0.145 s
% 0.18/0.55  % (1961)Instructions burned: 11 (million)
% 0.18/0.55  % (1961)------------------------------
% 0.18/0.55  % (1961)------------------------------
% 0.18/0.55  % (1948)Instruction limit reached!
% 0.18/0.55  % (1948)------------------------------
% 0.18/0.55  % (1948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (1948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (1948)Termination reason: Unknown
% 0.18/0.55  % (1948)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (1948)Memory used [KB]: 6524
% 0.18/0.55  % (1948)Time elapsed: 0.148 s
% 0.18/0.55  % (1948)Instructions burned: 39 (million)
% 0.18/0.55  % (1948)------------------------------
% 0.18/0.55  % (1948)------------------------------
% 0.18/0.55  % (1947)Instruction limit reached!
% 0.18/0.55  % (1947)------------------------------
% 0.18/0.55  % (1947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (1947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (1947)Termination reason: Unknown
% 0.18/0.55  % (1947)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (1947)Memory used [KB]: 6396
% 0.18/0.55  % (1947)Time elapsed: 0.132 s
% 0.18/0.55  % (1947)Instructions burned: 40 (million)
% 0.18/0.55  % (1947)------------------------------
% 0.18/0.55  % (1947)------------------------------
% 1.75/0.56  % (1965)Instruction limit reached!
% 1.75/0.56  % (1965)------------------------------
% 1.75/0.56  % (1965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.56  % (1965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.56  % (1965)Termination reason: Unknown
% 1.75/0.56  % (1965)Termination phase: Saturation
% 1.75/0.56  
% 1.75/0.56  % (1965)Memory used [KB]: 2046
% 1.75/0.56  % (1965)Time elapsed: 0.157 s
% 1.75/0.56  % (1965)Instructions burned: 45 (million)
% 1.75/0.56  % (1965)------------------------------
% 1.75/0.56  % (1965)------------------------------
% 1.75/0.57  % (1971)Instruction limit reached!
% 1.75/0.57  % (1971)------------------------------
% 1.75/0.57  % (1971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.57  % (1971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57  % (1971)Termination reason: Unknown
% 1.75/0.57  % (1971)Termination phase: Saturation
% 1.75/0.57  
% 1.75/0.57  % (1971)Memory used [KB]: 6268
% 1.75/0.57  % (1971)Time elapsed: 0.161 s
% 1.75/0.57  % (1971)Instructions burned: 24 (million)
% 1.75/0.57  % (1971)------------------------------
% 1.75/0.57  % (1971)------------------------------
% 1.91/0.58  % (1962)Instruction limit reached!
% 1.91/0.58  % (1962)------------------------------
% 1.91/0.58  % (1962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.58  % (1962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.58  % (1962)Termination reason: Unknown
% 1.91/0.58  % (1962)Termination phase: Saturation
% 1.91/0.58  
% 1.91/0.58  % (1962)Memory used [KB]: 6268
% 1.91/0.58  % (1962)Time elapsed: 0.166 s
% 1.91/0.58  % (1962)Instructions burned: 30 (million)
% 1.91/0.58  % (1962)------------------------------
% 1.91/0.58  % (1962)------------------------------
% 1.91/0.58  % (1964)Instruction limit reached!
% 1.91/0.58  % (1964)------------------------------
% 1.91/0.58  % (1964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.58  % (1964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.58  % (1964)Termination reason: Unknown
% 1.91/0.58  % (1964)Termination phase: Saturation
% 1.91/0.58  
% 1.91/0.58  % (1964)Memory used [KB]: 8315
% 1.91/0.58  % (1964)Time elapsed: 0.182 s
% 1.91/0.58  % (1964)Instructions burned: 83 (million)
% 1.91/0.58  % (1964)------------------------------
% 1.91/0.58  % (1964)------------------------------
% 1.91/0.59  % (1969)Instruction limit reached!
% 1.91/0.59  % (1969)------------------------------
% 1.91/0.59  % (1969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59  % (1969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59  % (1969)Termination reason: Unknown
% 1.91/0.59  % (1969)Termination phase: Saturation
% 1.91/0.59  
% 1.91/0.59  % (1969)Memory used [KB]: 6396
% 1.91/0.59  % (1969)Time elapsed: 0.200 s
% 1.91/0.59  % (1969)Instructions burned: 26 (million)
% 1.91/0.59  % (1969)------------------------------
% 1.91/0.59  % (1969)------------------------------
% 1.91/0.60  % (1955)Instruction limit reached!
% 1.91/0.60  % (1955)------------------------------
% 1.91/0.60  % (1955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60  % (1955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60  % (1955)Termination reason: Unknown
% 1.91/0.60  % (1955)Termination phase: Saturation
% 1.91/0.60  
% 1.91/0.60  % (1955)Memory used [KB]: 6780
% 1.91/0.60  % (1955)Time elapsed: 0.196 s
% 1.91/0.60  % (1955)Instructions burned: 53 (million)
% 1.91/0.60  % (1955)------------------------------
% 1.91/0.60  % (1955)------------------------------
% 1.91/0.61  % (1972)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)
% 1.91/0.61  % (1949)Instruction limit reached!
% 1.91/0.61  % (1949)------------------------------
% 1.91/0.61  % (1949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  % (1949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (1949)Termination reason: Unknown
% 1.91/0.61  % (1949)Termination phase: Saturation
% 1.91/0.61  
% 1.91/0.61  % (1949)Memory used [KB]: 6652
% 1.91/0.61  % (1949)Time elapsed: 0.214 s
% 1.91/0.61  % (1949)Instructions burned: 49 (million)
% 1.91/0.61  % (1949)------------------------------
% 1.91/0.61  % (1949)------------------------------
% 1.91/0.62  % (1966)Instruction limit reached!
% 1.91/0.62  % (1966)------------------------------
% 1.91/0.62  % (1966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (1966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (1966)Termination reason: Unknown
% 1.91/0.62  % (1966)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (1966)Memory used [KB]: 6524
% 1.91/0.62  % (1966)Time elapsed: 0.219 s
% 1.91/0.62  % (1966)Instructions burned: 51 (million)
% 1.91/0.62  % (1966)------------------------------
% 1.91/0.62  % (1966)------------------------------
% 1.91/0.62  % (1974)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)
% 1.91/0.62  % (1958)Instruction limit reached!
% 1.91/0.62  % (1958)------------------------------
% 1.91/0.62  % (1958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (1958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (1958)Termination reason: Unknown
% 1.91/0.62  % (1958)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (1958)Memory used [KB]: 6396
% 1.91/0.62  % (1958)Time elapsed: 0.241 s
% 1.91/0.62  % (1958)Instructions burned: 50 (million)
% 1.91/0.62  % (1958)------------------------------
% 1.91/0.62  % (1958)------------------------------
% 2.21/0.63  % (1968)Instruction limit reached!
% 2.21/0.63  % (1968)------------------------------
% 2.21/0.63  % (1968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.63  % (1968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.63  % (1968)Termination reason: Unknown
% 2.21/0.63  % (1968)Termination phase: Saturation
% 2.21/0.63  
% 2.21/0.63  % (1968)Memory used [KB]: 6396
% 2.21/0.63  % (1968)Time elapsed: 0.227 s
% 2.21/0.63  % (1968)Instructions burned: 100 (million)
% 2.21/0.63  % (1968)------------------------------
% 2.21/0.63  % (1968)------------------------------
% 2.21/0.63  % (1973)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)
% 2.21/0.64  % (1975)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.21/0.64  % (1977)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.32/0.65  % (1976)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.32/0.65  % (1979)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.32/0.66  % (1978)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.32/0.66  % (1978)Refutation not found, incomplete strategy% (1978)------------------------------
% 2.32/0.66  % (1978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66  % (1978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66  % (1978)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.66  
% 2.32/0.66  % (1978)Memory used [KB]: 6012
% 2.32/0.66  % (1978)Time elapsed: 0.098 s
% 2.32/0.66  % (1978)Instructions burned: 2 (million)
% 2.32/0.66  % (1978)------------------------------
% 2.32/0.66  % (1978)------------------------------
% 2.32/0.66  % (1973)Instruction limit reached!
% 2.32/0.66  % (1973)------------------------------
% 2.32/0.66  % (1973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66  % (1973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66  % (1973)Termination reason: Unknown
% 2.32/0.66  % (1973)Termination phase: Saturation
% 2.32/0.66  
% 2.32/0.66  % (1973)Memory used [KB]: 10490
% 2.32/0.66  % (1973)Time elapsed: 0.119 s
% 2.32/0.66  % (1973)Instructions burned: 7 (million)
% 2.32/0.66  % (1973)------------------------------
% 2.32/0.66  % (1973)------------------------------
% 2.32/0.67  % (1981)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.32/0.67  % (1982)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/84Mi)
% 2.32/0.67  % (1985)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.32/0.67  % (1988)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.32/0.68  % (1984)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.32/0.68  % (1983)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.32/0.69  % (1986)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.32/0.69  % (1987)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.32/0.71  % (1972)First to succeed.
% 2.32/0.71  % (1972)Refutation found. Thanks to Tanya!
% 2.32/0.71  % SZS status Theorem for theBenchmark
% 2.32/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.71  % (1972)------------------------------
% 2.32/0.71  % (1972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.71  % (1972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.71  % (1972)Termination reason: Refutation
% 2.32/0.71  
% 2.32/0.71  % (1972)Memory used [KB]: 6396
% 2.32/0.71  % (1972)Time elapsed: 0.199 s
% 2.32/0.71  % (1972)Instructions burned: 60 (million)
% 2.32/0.71  % (1972)------------------------------
% 2.32/0.71  % (1972)------------------------------
% 2.32/0.71  % (1940)Success in time 0.355 s
%------------------------------------------------------------------------------