TSTP Solution File: NUM463+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM463+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_sat --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 18:05:16 EDT 2022

% Result   : Theorem 6.72s 1.21s
% Output   : Refutation 6.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  103 (  20 unt;   0 def)
%            Number of atoms       :  337 ( 100 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  380 ( 146   ~; 153   |;  56   &)
%                                         (   8 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   93 (  86   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1788,plain,
    $false,
    inference(avatar_sat_refutation,[],[f725,f1514,f1546,f1683,f1783]) ).

fof(f1783,plain,
    ~ spl2_9,
    inference(avatar_contradiction_clause,[],[f1782]) ).

fof(f1782,plain,
    ( $false
    | ~ spl2_9 ),
    inference(subsumption_resolution,[],[f1684,f1692]) ).

fof(f1692,plain,
    ( sdtlseqdt0(xn,xn)
    | ~ spl2_9 ),
    inference(backward_demodulation,[],[f218,f1422]) ).

fof(f1422,plain,
    ( xn = sF1
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f1421,plain,
    ( spl2_9
  <=> xn = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f218,plain,
    sdtlseqdt0(sF1,xn),
    inference(subsumption_resolution,[],[f217,f112]) ).

fof(f112,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).

fof(f217,plain,
    ( ~ aNaturalNumber0(xn)
    | sdtlseqdt0(sF1,xn) ),
    inference(subsumption_resolution,[],[f213,f200]) ).

fof(f200,plain,
    aNaturalNumber0(sF1),
    inference(subsumption_resolution,[],[f199,f113]) ).

fof(f113,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

fof(f199,plain,
    ( ~ aNaturalNumber0(xm)
    | aNaturalNumber0(sF1) ),
    inference(subsumption_resolution,[],[f196,f112]) ).

fof(f196,plain,
    ( ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | aNaturalNumber0(sF1) ),
    inference(superposition,[],[f123,f157]) ).

fof(f157,plain,
    sdtasdt0(xn,xm) = sF1,
    introduced(function_definition,[]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | aNaturalNumber0(sdtasdt0(X1,X0)) ),
    inference(flattening,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X1,X0))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtasdt0(X1,X0)) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f213,plain,
    ( ~ aNaturalNumber0(sF1)
    | ~ aNaturalNumber0(xn)
    | sdtlseqdt0(sF1,xn) ),
    inference(resolution,[],[f122,f158]) ).

fof(f158,plain,
    ~ sdtlseqdt0(xn,sF1),
    inference(definition_folding,[],[f115,f157]) ).

fof(f115,plain,
    ~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
    & sz00 != xm ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ( sz00 != xm
     => sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ( sz00 != xm
   => sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f122,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ( sdtlseqdt0(X0,X1)
        & X0 != X1 ) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( ( sdtlseqdt0(X0,X1)
        & X0 != X1 )
      | sdtlseqdt0(X1,X0)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
        | sdtlseqdt0(X1,X0) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( ( X0 != X1
          & sdtlseqdt0(X1,X0) )
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).

fof(f1684,plain,
    ( ~ sdtlseqdt0(xn,xn)
    | ~ spl2_9 ),
    inference(backward_demodulation,[],[f158,f1422]) ).

fof(f1683,plain,
    ( spl2_9
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f1667,f1425,f1421]) ).

fof(f1425,plain,
    ( spl2_10
  <=> sz10 = xm ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f1667,plain,
    ( xn = sF1
    | ~ spl2_10 ),
    inference(forward_demodulation,[],[f1605,f176]) ).

fof(f176,plain,
    xn = sdtasdt0(sz10,xn),
    inference(resolution,[],[f128,f112]) ).

fof(f128,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtasdt0(sz10,X0) = X0 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).

fof(f1605,plain,
    ( sdtasdt0(sz10,xn) = sF1
    | ~ spl2_10 ),
    inference(backward_demodulation,[],[f1225,f1427]) ).

fof(f1427,plain,
    ( sz10 = xm
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f1425]) ).

fof(f1225,plain,
    sF1 = sdtasdt0(xm,xn),
    inference(forward_demodulation,[],[f1222,f157]) ).

fof(f1222,plain,
    sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
    inference(resolution,[],[f223,f112]) ).

fof(f223,plain,
    ! [X8] :
      ( ~ aNaturalNumber0(X8)
      | sdtasdt0(X8,xm) = sdtasdt0(xm,X8) ),
    inference(resolution,[],[f104,f113]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

fof(f1546,plain,
    ( spl2_10
    | spl2_11 ),
    inference(avatar_split_clause,[],[f1545,f1511,f1425]) ).

fof(f1511,plain,
    ( spl2_11
  <=> sdtlseqdt0(sz10,xm) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f1545,plain,
    ( sz10 = xm
    | spl2_11 ),
    inference(subsumption_resolution,[],[f1544,f114]) ).

fof(f114,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f53]) ).

fof(f1544,plain,
    ( sz10 = xm
    | sz00 = xm
    | spl2_11 ),
    inference(subsumption_resolution,[],[f1539,f113]) ).

fof(f1539,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(xm)
    | sz00 = xm
    | spl2_11 ),
    inference(resolution,[],[f1513,f135]) ).

fof(f135,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0] :
      ( ( sz10 != X0
        & sdtlseqdt0(sz10,X0) )
      | ~ aNaturalNumber0(X0)
      | sz10 = X0
      | sz00 = X0 ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( sz10 = X0
      | sz00 = X0
      | ( sz10 != X0
        & sdtlseqdt0(sz10,X0) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz10 = X0
        | sz00 = X0
        | ( sz10 != X0
          & sdtlseqdt0(sz10,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).

fof(f1513,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    | spl2_11 ),
    inference(avatar_component_clause,[],[f1511]) ).

fof(f1514,plain,
    ( spl2_10
    | ~ spl2_11
    | spl2_1 ),
    inference(avatar_split_clause,[],[f1509,f345,f1511,f1425]) ).

fof(f345,plain,
    ( spl2_1
  <=> sz00 = xn ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f1509,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    | sz10 = xm
    | spl2_1 ),
    inference(subsumption_resolution,[],[f1508,f158]) ).

fof(f1508,plain,
    ( sz10 = xm
    | ~ sdtlseqdt0(sz10,xm)
    | sdtlseqdt0(xn,sF1)
    | spl2_1 ),
    inference(subsumption_resolution,[],[f1504,f149]) ).

fof(f149,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f1504,plain,
    ( sz10 = xm
    | ~ aNaturalNumber0(sz10)
    | ~ sdtlseqdt0(sz10,xm)
    | sdtlseqdt0(xn,sF1)
    | spl2_1 ),
    inference(superposition,[],[f902,f172]) ).

fof(f172,plain,
    xn = sdtasdt0(xn,sz10),
    inference(resolution,[],[f127,f112]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtasdt0(X0,sz10) = X0 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f902,plain,
    ( ! [X8] :
        ( sdtlseqdt0(sdtasdt0(xn,X8),sF1)
        | ~ aNaturalNumber0(X8)
        | ~ sdtlseqdt0(X8,xm)
        | xm = X8 )
    | spl2_1 ),
    inference(subsumption_resolution,[],[f901,f112]) ).

fof(f901,plain,
    ( ! [X8] :
        ( ~ sdtlseqdt0(X8,xm)
        | ~ aNaturalNumber0(X8)
        | sdtlseqdt0(sdtasdt0(xn,X8),sF1)
        | xm = X8
        | ~ aNaturalNumber0(xn) )
    | spl2_1 ),
    inference(subsumption_resolution,[],[f900,f346]) ).

fof(f346,plain,
    ( sz00 != xn
    | spl2_1 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f900,plain,
    ! [X8] :
      ( xm = X8
      | sdtlseqdt0(sdtasdt0(xn,X8),sF1)
      | sz00 = xn
      | ~ aNaturalNumber0(xn)
      | ~ sdtlseqdt0(X8,xm)
      | ~ aNaturalNumber0(X8) ),
    inference(subsumption_resolution,[],[f884,f113]) ).

fof(f884,plain,
    ! [X8] :
      ( xm = X8
      | ~ aNaturalNumber0(xm)
      | ~ aNaturalNumber0(X8)
      | sdtlseqdt0(sdtasdt0(xn,X8),sF1)
      | ~ sdtlseqdt0(X8,xm)
      | ~ aNaturalNumber0(xn)
      | sz00 = xn ),
    inference(superposition,[],[f137,f157]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ sdtlseqdt0(X2,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | X1 = X2
      | ~ aNaturalNumber0(X0)
      | sz00 = X0
      | ~ sdtlseqdt0(X2,X1)
      | ( sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))
        & sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
        & sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
        & sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1)) ) ),
    inference(rectify,[],[f57]) ).

fof(f57,plain,
    ! [X1,X0,X2] :
      ( ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X2)
      | X0 = X2
      | ~ aNaturalNumber0(X1)
      | sz00 = X1
      | ~ sdtlseqdt0(X2,X0)
      | ( sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
        & sdtasdt0(X1,X0) != sdtasdt0(X1,X2)
        & sdtasdt0(X0,X1) != sdtasdt0(X2,X1)
        & sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0)) ) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0,X2] :
      ( ( sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
        & sdtasdt0(X1,X0) != sdtasdt0(X1,X2)
        & sdtasdt0(X0,X1) != sdtasdt0(X2,X1)
        & sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0)) )
      | ~ sdtlseqdt0(X2,X0)
      | sz00 = X1
      | X0 = X2
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X2,X0)
          & sz00 != X1
          & X0 != X2 )
       => ( sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
          & sdtasdt0(X1,X0) != sdtasdt0(X1,X2)
          & sdtasdt0(X0,X1) != sdtasdt0(X2,X1)
          & sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X0)) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X2,X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( sz00 != X0
          & X1 != X2
          & sdtlseqdt0(X1,X2) )
       => ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
          & sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
          & sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
          & sdtasdt0(X1,X0) != sdtasdt0(X2,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).

fof(f725,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f724]) ).

fof(f724,plain,
    ( $false
    | ~ spl2_1 ),
    inference(subsumption_resolution,[],[f693,f629]) ).

fof(f629,plain,
    sdtlseqdt0(sz00,sF1),
    inference(subsumption_resolution,[],[f628,f103]) ).

fof(f103,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

fof(f628,plain,
    ( ~ aNaturalNumber0(sz00)
    | sdtlseqdt0(sz00,sF1) ),
    inference(subsumption_resolution,[],[f622,f200]) ).

fof(f622,plain,
    ( ~ aNaturalNumber0(sF1)
    | sdtlseqdt0(sz00,sF1)
    | ~ aNaturalNumber0(sz00) ),
    inference(duplicate_literal_removal,[],[f620]) ).

fof(f620,plain,
    ( sdtlseqdt0(sz00,sF1)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sF1)
    | ~ aNaturalNumber0(sF1) ),
    inference(superposition,[],[f151,f207]) ).

fof(f207,plain,
    sF1 = sdtpldt0(sz00,sF1),
    inference(resolution,[],[f200,f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(sz00,X0) = X0 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).

fof(f151,plain,
    ! [X3,X0] :
      ( sdtlseqdt0(X0,sdtpldt0(X0,X3))
      | ~ aNaturalNumber0(sdtpldt0(X0,X3))
      | ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f109]) ).

fof(f109,plain,
    ! [X3,X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | sdtlseqdt0(X0,X1)
      | sdtpldt0(X0,X3) != X1
      | ~ aNaturalNumber0(X3)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ( ( ( sdtpldt0(X0,sK0(X0,X1)) = X1
            & aNaturalNumber0(sK0(X0,X1)) )
          | ~ sdtlseqdt0(X0,X1) )
        & ( sdtlseqdt0(X0,X1)
          | ! [X3] :
              ( sdtpldt0(X0,X3) != X1
              | ~ aNaturalNumber0(X3) ) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f88,f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtpldt0(X0,X2) = X1
          & aNaturalNumber0(X2) )
     => ( sdtpldt0(X0,sK0(X0,X1)) = X1
        & aNaturalNumber0(sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | ( ( ? [X2] :
              ( sdtpldt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ sdtlseqdt0(X0,X1) )
        & ( sdtlseqdt0(X0,X1)
          | ! [X3] :
              ( sdtpldt0(X0,X3) != X1
              | ~ aNaturalNumber0(X3) ) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | ( ( ? [X2] :
              ( sdtpldt0(X1,X2) = X0
              & aNaturalNumber0(X2) )
          | ~ sdtlseqdt0(X1,X0) )
        & ( sdtlseqdt0(X1,X0)
          | ! [X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aNaturalNumber0(X2) ) ) )
      | ~ aNaturalNumber0(X1) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | ( ? [X2] :
            ( sdtpldt0(X1,X2) = X0
            & aNaturalNumber0(X2) )
      <=> sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( sdtpldt0(X1,X2) = X0
            & aNaturalNumber0(X2) )
      <=> sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ? [X2] :
            ( sdtpldt0(X1,X2) = X0
            & aNaturalNumber0(X2) )
      <=> sdtlseqdt0(X1,X0) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X1,X0] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
      <=> ? [X2] :
            ( sdtpldt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).

fof(f693,plain,
    ( ~ sdtlseqdt0(sz00,sF1)
    | ~ spl2_1 ),
    inference(backward_demodulation,[],[f158,f347]) ).

fof(f347,plain,
    ( sz00 = xn
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f345]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM463+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 06:28:59 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.52  % (20913)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54  % (20925)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  % (20934)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  TRYING [2]
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (20921)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56  % (20921)Instruction limit reached!
% 0.20/0.56  % (20921)------------------------------
% 0.20/0.56  % (20921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (20921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (20921)Termination reason: Unknown
% 0.20/0.56  % (20921)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (20921)Memory used [KB]: 895
% 0.20/0.56  % (20921)Time elapsed: 0.005 s
% 0.20/0.56  % (20921)Instructions burned: 3 (million)
% 0.20/0.56  % (20921)------------------------------
% 0.20/0.56  % (20921)------------------------------
% 0.20/0.56  % (20917)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (20923)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (20932)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58  % (20918)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.58  % (20915)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.59  TRYING [4]
% 0.20/0.59  % (20935)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.59  % (20924)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59  % (20941)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.59  % (20919)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (20928)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.88/0.59  TRYING [1]
% 1.88/0.59  TRYING [2]
% 1.88/0.60  % (20922)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.88/0.60  % (20926)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.88/0.60  % (20938)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.88/0.60  % (20942)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.88/0.60  % (20936)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.88/0.60  % (20930)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.88/0.61  % (20914)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.88/0.61  % (20933)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.88/0.61  % (20916)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.88/0.61  % (20920)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.10/0.62  TRYING [3]
% 2.10/0.62  % (20939)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.10/0.63  % (20927)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.10/0.63  % (20940)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.10/0.63  % (20931)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.10/0.63  TRYING [1]
% 2.10/0.63  TRYING [2]
% 2.10/0.63  TRYING [3]
% 2.10/0.64  % (20937)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.10/0.64  % (20914)Refutation not found, incomplete strategy% (20914)------------------------------
% 2.10/0.64  % (20914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64  % (20914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64  % (20914)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.64  
% 2.10/0.64  % (20914)Memory used [KB]: 5500
% 2.10/0.64  % (20914)Time elapsed: 0.217 s
% 2.10/0.64  % (20914)Instructions burned: 5 (million)
% 2.10/0.64  % (20914)------------------------------
% 2.10/0.64  % (20914)------------------------------
% 2.10/0.64  % (20920)Instruction limit reached!
% 2.10/0.64  % (20920)------------------------------
% 2.10/0.64  % (20920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64  % (20920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64  % (20920)Termination reason: Unknown
% 2.10/0.64  % (20920)Termination phase: Saturation
% 2.10/0.64  
% 2.10/0.64  % (20920)Memory used [KB]: 5500
% 2.10/0.64  % (20920)Time elapsed: 0.179 s
% 2.10/0.64  % (20920)Instructions burned: 7 (million)
% 2.10/0.64  % (20920)------------------------------
% 2.10/0.64  % (20920)------------------------------
% 2.10/0.64  % (20929)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.31/0.66  % (20917)Instruction limit reached!
% 2.31/0.66  % (20917)------------------------------
% 2.31/0.66  % (20917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67  % (20915)Instruction limit reached!
% 2.31/0.67  % (20915)------------------------------
% 2.31/0.67  % (20915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67  % (20915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67  % (20915)Termination reason: Unknown
% 2.31/0.67  % (20915)Termination phase: Saturation
% 2.31/0.67  
% 2.31/0.67  % (20915)Memory used [KB]: 1407
% 2.31/0.67  % (20915)Time elapsed: 0.260 s
% 2.31/0.67  % (20915)Instructions burned: 38 (million)
% 2.31/0.67  % (20915)------------------------------
% 2.31/0.67  % (20915)------------------------------
% 2.31/0.67  TRYING [4]
% 2.31/0.67  % (20917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67  % (20917)Termination reason: Unknown
% 2.31/0.67  % (20917)Termination phase: Saturation
% 2.31/0.67  
% 2.31/0.67  % (20917)Memory used [KB]: 6396
% 2.31/0.67  % (20917)Time elapsed: 0.244 s
% 2.31/0.67  % (20917)Instructions burned: 52 (million)
% 2.31/0.67  % (20917)------------------------------
% 2.31/0.67  % (20917)------------------------------
% 2.31/0.68  % (20919)Instruction limit reached!
% 2.31/0.68  % (20919)------------------------------
% 2.31/0.68  % (20919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68  % (20919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68  % (20919)Termination reason: Unknown
% 2.31/0.68  % (20919)Termination phase: Finite model building constraint generation
% 2.31/0.68  
% 2.31/0.68  % (20919)Memory used [KB]: 7675
% 2.31/0.68  % (20919)Time elapsed: 0.262 s
% 2.31/0.68  % (20919)Instructions burned: 52 (million)
% 2.31/0.68  % (20919)------------------------------
% 2.31/0.68  % (20919)------------------------------
% 2.31/0.69  TRYING [4]
% 2.31/0.70  % (20923)Instruction limit reached!
% 2.31/0.70  % (20923)------------------------------
% 2.31/0.70  % (20923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.70  % (20923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.70  % (20923)Termination reason: Unknown
% 2.31/0.70  % (20923)Termination phase: Saturation
% 2.31/0.70  
% 2.31/0.70  % (20923)Memory used [KB]: 6396
% 2.31/0.70  % (20923)Time elapsed: 0.299 s
% 2.31/0.70  % (20923)Instructions burned: 50 (million)
% 2.31/0.70  % (20923)------------------------------
% 2.31/0.70  % (20923)------------------------------
% 2.31/0.71  % (20930)Instruction limit reached!
% 2.31/0.71  % (20930)------------------------------
% 2.31/0.71  % (20930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.71  % (20930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.71  % (20930)Termination reason: Unknown
% 2.31/0.71  % (20930)Termination phase: Finite model building constraint generation
% 2.31/0.71  
% 2.31/0.71  % (20930)Memory used [KB]: 7803
% 2.31/0.71  % (20930)Time elapsed: 0.287 s
% 2.31/0.71  % (20930)Instructions burned: 60 (million)
% 2.31/0.71  % (20930)------------------------------
% 2.31/0.71  % (20930)------------------------------
% 2.31/0.72  % (20918)Instruction limit reached!
% 2.31/0.72  % (20918)------------------------------
% 2.31/0.72  % (20918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.72  % (20918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.72  % (20918)Termination reason: Unknown
% 2.31/0.72  % (20918)Termination phase: Saturation
% 2.31/0.72  
% 2.31/0.72  % (20918)Memory used [KB]: 6012
% 2.31/0.72  % (20918)Time elapsed: 0.290 s
% 2.31/0.72  % (20918)Instructions burned: 48 (million)
% 2.31/0.72  % (20918)------------------------------
% 2.31/0.72  % (20918)------------------------------
% 2.95/0.73  % (20925)Instruction limit reached!
% 2.95/0.73  % (20925)------------------------------
% 2.95/0.73  % (20925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.73  % (20925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.73  % (20925)Termination reason: Unknown
% 2.95/0.73  % (20925)Termination phase: Saturation
% 2.95/0.73  
% 2.95/0.73  % (20925)Memory used [KB]: 7036
% 2.95/0.73  % (20925)Time elapsed: 0.310 s
% 2.95/0.73  % (20925)Instructions burned: 101 (million)
% 2.95/0.73  % (20925)------------------------------
% 2.95/0.73  % (20925)------------------------------
% 2.95/0.73  % (20932)Instruction limit reached!
% 2.95/0.73  % (20932)------------------------------
% 2.95/0.73  % (20932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.73  % (20932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.73  % (20932)Termination reason: Unknown
% 2.95/0.73  % (20932)Termination phase: Saturation
% 2.95/0.73  
% 2.95/0.73  % (20932)Memory used [KB]: 1791
% 2.95/0.73  % (20932)Time elapsed: 0.324 s
% 2.95/0.73  % (20932)Instructions burned: 100 (million)
% 2.95/0.73  % (20932)------------------------------
% 2.95/0.73  % (20932)------------------------------
% 2.95/0.74  % (20922)Instruction limit reached!
% 2.95/0.74  % (20922)------------------------------
% 2.95/0.74  % (20922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.74  % (20922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.74  % (20922)Termination reason: Unknown
% 2.95/0.74  % (20922)Termination phase: Saturation
% 2.95/0.74  
% 2.95/0.74  % (20922)Memory used [KB]: 1663
% 2.95/0.74  % (20922)Time elapsed: 0.321 s
% 2.95/0.74  % (20922)Instructions burned: 52 (million)
% 2.95/0.74  % (20922)------------------------------
% 2.95/0.74  % (20922)------------------------------
% 2.95/0.77  % (20975)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.22/0.78  % (20916)Instruction limit reached!
% 3.22/0.78  % (20916)------------------------------
% 3.22/0.78  % (20916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.78  % (20916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.78  % (20916)Termination reason: Unknown
% 3.22/0.78  % (20916)Termination phase: Saturation
% 3.22/0.78  
% 3.22/0.78  % (20916)Memory used [KB]: 6396
% 3.22/0.78  % (20916)Time elapsed: 0.343 s
% 3.22/0.78  % (20916)Instructions burned: 51 (million)
% 3.22/0.78  % (20916)------------------------------
% 3.22/0.78  % (20916)------------------------------
% 3.22/0.80  % (20928)Instruction limit reached!
% 3.22/0.80  % (20928)------------------------------
% 3.22/0.80  % (20928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.80  % (20928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.80  % (20928)Termination reason: Unknown
% 3.22/0.80  % (20928)Termination phase: Saturation
% 3.22/0.80  
% 3.22/0.80  % (20928)Memory used [KB]: 2302
% 3.22/0.80  % (20928)Time elapsed: 0.337 s
% 3.22/0.80  % (20928)Instructions burned: 75 (million)
% 3.22/0.80  % (20928)------------------------------
% 3.22/0.80  % (20928)------------------------------
% 3.22/0.82  % (20927)Instruction limit reached!
% 3.22/0.82  % (20927)------------------------------
% 3.22/0.82  % (20927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.82  % (20927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.82  % (20927)Termination reason: Unknown
% 3.22/0.82  % (20927)Termination phase: Saturation
% 3.22/0.82  
% 3.22/0.82  % (20927)Memory used [KB]: 6652
% 3.22/0.82  % (20927)Time elapsed: 0.055 s
% 3.22/0.82  % (20927)Instructions burned: 68 (million)
% 3.22/0.82  % (20927)------------------------------
% 3.22/0.82  % (20927)------------------------------
% 3.22/0.83  TRYING [5]
% 3.22/0.84  % (20934)Instruction limit reached!
% 3.22/0.84  % (20934)------------------------------
% 3.22/0.84  % (20934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.84  % (20934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.84  % (20934)Termination reason: Unknown
% 3.22/0.84  % (20934)Termination phase: Saturation
% 3.22/0.84  
% 3.22/0.84  % (20934)Memory used [KB]: 7164
% 3.22/0.84  % (20934)Time elapsed: 0.421 s
% 3.22/0.84  % (20934)Instructions burned: 138 (million)
% 3.22/0.84  % (20934)------------------------------
% 3.22/0.84  % (20934)------------------------------
% 3.22/0.84  % (20939)Instruction limit reached!
% 3.22/0.84  % (20939)------------------------------
% 3.22/0.84  % (20939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.22/0.84  % (20939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.22/0.84  % (20939)Termination reason: Unknown
% 3.22/0.84  % (20939)Termination phase: Saturation
% 3.22/0.84  
% 3.22/0.84  % (20939)Memory used [KB]: 6652
% 3.22/0.84  % (20939)Time elapsed: 0.058 s
% 3.22/0.84  % (20939)Instructions burned: 68 (million)
% 3.22/0.84  % (20939)------------------------------
% 3.22/0.84  % (20939)------------------------------
% 3.22/0.85  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.58/0.85  % (21002)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.58/0.86  % (21003)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.63/0.87  % (20926)Instruction limit reached!
% 3.63/0.87  % (20926)------------------------------
% 3.63/0.87  % (20926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/0.87  % (20926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/0.87  % (20926)Termination reason: Unknown
% 3.63/0.87  % (20926)Termination phase: Saturation
% 3.63/0.87  
% 3.63/0.87  % (20926)Memory used [KB]: 6652
% 3.63/0.87  % (20926)Time elapsed: 0.437 s
% 3.63/0.87  % (20926)Instructions burned: 99 (million)
% 3.63/0.87  % (20926)------------------------------
% 3.63/0.87  % (20926)------------------------------
% 3.63/0.88  % (20978)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.63/0.90  % (20924)Instruction limit reached!
% 3.63/0.90  % (20924)------------------------------
% 3.63/0.90  % (20924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/0.90  % (20924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/0.90  % (20924)Termination reason: Unknown
% 3.63/0.90  % (20924)Termination phase: Saturation
% 3.63/0.90  
% 3.63/0.90  % (20924)Memory used [KB]: 7419
% 3.63/0.90  % (20924)Time elapsed: 0.466 s
% 3.63/0.90  % (20924)Instructions burned: 101 (million)
% 3.63/0.90  % (20924)------------------------------
% 3.63/0.90  % (20924)------------------------------
% 3.63/0.90  % (20979)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.63/0.91  % (20980)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.81/0.92  % (20929)Instruction limit reached!
% 3.81/0.92  % (20929)------------------------------
% 3.81/0.92  % (20929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/0.92  % (20929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/0.92  % (20929)Termination reason: Unknown
% 3.81/0.92  % (20929)Termination phase: Saturation
% 3.81/0.92  
% 3.81/0.92  % (20929)Memory used [KB]: 6524
% 3.81/0.92  % (20929)Time elapsed: 0.488 s
% 3.81/0.92  % (20929)Instructions burned: 99 (million)
% 3.81/0.92  % (20929)------------------------------
% 3.81/0.92  % (20929)------------------------------
% 3.81/0.92  % (20983)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.81/0.92  % (20977)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.81/0.94  % (20994)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.88/0.95  % (20991)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.88/0.95  % (20931)Instruction limit reached!
% 3.88/0.95  % (20931)------------------------------
% 3.88/0.95  % (20931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/0.95  % (20931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/0.95  % (20931)Termination reason: Unknown
% 3.88/0.95  % (20931)Termination phase: Saturation
% 3.88/0.95  
% 3.88/0.95  % (20931)Memory used [KB]: 6524
% 3.88/0.95  % (20931)Time elapsed: 0.492 s
% 3.88/0.95  % (20931)Instructions burned: 101 (million)
% 3.88/0.95  % (20931)------------------------------
% 3.88/0.95  % (20931)------------------------------
% 3.88/0.96  % (20998)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.88/0.97  % (21003)Instruction limit reached!
% 3.88/0.97  % (21003)------------------------------
% 3.88/0.97  % (21003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/0.97  % (21003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/0.97  % (21003)Termination reason: Unknown
% 3.88/0.97  % (21003)Termination phase: Saturation
% 3.88/0.97  
% 3.88/0.97  % (21003)Memory used [KB]: 6140
% 3.88/0.97  % (21003)Time elapsed: 0.141 s
% 3.88/0.97  % (21003)Instructions burned: 90 (million)
% 3.88/0.97  % (21003)------------------------------
% 3.88/0.97  % (21003)------------------------------
% 3.88/0.98  % (21004)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.88/1.02  % (20933)Instruction limit reached!
% 3.88/1.02  % (20933)------------------------------
% 3.88/1.02  % (20933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.02  % (20933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.02  % (20933)Termination reason: Unknown
% 3.88/1.02  % (20933)Termination phase: Saturation
% 3.88/1.02  
% 3.88/1.02  % (20933)Memory used [KB]: 6140
% 3.88/1.02  % (20933)Time elapsed: 0.597 s
% 3.88/1.02  % (20933)Instructions burned: 177 (million)
% 3.88/1.02  % (20933)------------------------------
% 3.88/1.02  % (20933)------------------------------
% 3.88/1.02  % (21018)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 4.24/1.04  % (21012)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 4.24/1.06  % (21016)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.36/1.08  % (21010)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.36/1.10  % (21027)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 4.36/1.10  % (20978)Instruction limit reached!
% 4.36/1.10  % (20978)------------------------------
% 4.36/1.10  % (20978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.36/1.10  % (20978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.36/1.10  % (20978)Termination reason: Unknown
% 4.36/1.10  % (20978)Termination phase: Saturation
% 4.36/1.10  
% 4.36/1.10  % (20978)Memory used [KB]: 6268
% 4.36/1.10  % (20978)Time elapsed: 0.410 s
% 4.36/1.10  % (20978)Instructions burned: 91 (million)
% 4.36/1.10  % (20978)------------------------------
% 4.36/1.10  % (20978)------------------------------
% 4.36/1.11  % (21020)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/68Mi)
% 4.36/1.12  % (20940)Instruction limit reached!
% 4.36/1.12  % (20940)------------------------------
% 4.36/1.12  % (20940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.36/1.12  % (20940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.36/1.12  % (20940)Termination reason: Unknown
% 4.36/1.12  % (20940)Termination phase: Saturation
% 4.36/1.12  
% 4.36/1.12  % (20940)Memory used [KB]: 3454
% 4.36/1.12  % (20940)Time elapsed: 0.707 s
% 4.36/1.12  % (20940)Instructions burned: 178 (million)
% 4.36/1.12  % (20940)------------------------------
% 4.36/1.12  % (20940)------------------------------
% 4.36/1.14  % (20994)Instruction limit reached!
% 4.36/1.14  % (20994)------------------------------
% 4.36/1.14  % (20994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.36/1.14  % (20994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.36/1.14  % (20994)Termination reason: Unknown
% 4.36/1.14  % (20994)Termination phase: Saturation
% 4.36/1.14  
% 4.36/1.14  % (20994)Memory used [KB]: 6652
% 4.36/1.14  % (20994)Time elapsed: 0.054 s
% 4.36/1.14  % (20994)Instructions burned: 69 (million)
% 4.36/1.14  % (20994)------------------------------
% 4.36/1.14  % (20994)------------------------------
% 4.36/1.15  % (21019)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 6.47/1.18  % (21023)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2134Mi)
% 6.47/1.19  % (21018)First to succeed.
% 6.47/1.19  % (21021)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 6.72/1.21  % (21018)Refutation found. Thanks to Tanya!
% 6.72/1.21  % SZS status Theorem for theBenchmark
% 6.72/1.21  % SZS output start Proof for theBenchmark
% See solution above
% 6.72/1.21  % (21018)------------------------------
% 6.72/1.21  % (21018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.72/1.21  % (21018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.72/1.21  % (21018)Termination reason: Refutation
% 6.72/1.21  
% 6.72/1.21  % (21018)Memory used [KB]: 6524
% 6.72/1.21  % (21018)Time elapsed: 0.286 s
% 6.72/1.21  % (21018)Instructions burned: 90 (million)
% 6.72/1.21  % (21018)------------------------------
% 6.72/1.21  % (21018)------------------------------
% 6.72/1.21  % (20912)Success in time 0.868 s
%------------------------------------------------------------------------------