TSTP Solution File: NUM422+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM422+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n001.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 17:59:25 EDT 2022

% Result   : Theorem 2.74s 0.84s
% Output   : Refutation 2.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  121 (  38 unt;   0 def)
%            Number of atoms       :  289 ( 110 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  299 ( 131   ~; 126   |;  28   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  114 ( 114   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2975,plain,
    $false,
    inference(subsumption_resolution,[],[f2974,f78]) ).

fof(f78,plain,
    aInteger0(sF2),
    inference(subsumption_resolution,[],[f77,f53]) ).

fof(f53,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    aInteger0(xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__446) ).

fof(f77,plain,
    ( aInteger0(sF2)
    | ~ aInteger0(xa) ),
    inference(superposition,[],[f71,f74]) ).

fof(f74,plain,
    smndt0(xa) = sF2,
    introduced(function_definition,[]) ).

fof(f71,plain,
    ! [X0] :
      ( aInteger0(smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => aInteger0(smndt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).

fof(f2974,plain,
    ~ aInteger0(sF2),
    inference(subsumption_resolution,[],[f2962,f75]) ).

fof(f75,plain,
    sF1 != sF2,
    inference(definition_folding,[],[f63,f74,f73,f72]) ).

fof(f72,plain,
    smndt0(sz10) = sF0,
    introduced(function_definition,[]) ).

fof(f73,plain,
    sdtasdt0(sF0,xa) = sF1,
    introduced(function_definition,[]) ).

fof(f63,plain,
    sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
    inference(flattening,[],[f18]) ).

fof(f18,negated_conjecture,
    sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    sdtasdt0(smndt0(sz10),xa) = smndt0(xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f2962,plain,
    ( sF1 = sF2
    | ~ aInteger0(sF2) ),
    inference(superposition,[],[f2954,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

fof(f2954,plain,
    sdtpldt0(sz00,sF2) = sF1,
    inference(forward_demodulation,[],[f2953,f583]) ).

fof(f583,plain,
    sdtpldt0(sF2,sz00) = sdtpldt0(sz00,sF2),
    inference(subsumption_resolution,[],[f569,f78]) ).

fof(f569,plain,
    ( sdtpldt0(sF2,sz00) = sdtpldt0(sz00,sF2)
    | ~ aInteger0(sF2) ),
    inference(superposition,[],[f400,f105]) ).

fof(f105,plain,
    sz00 = sdtpldt0(xa,sF2),
    inference(subsumption_resolution,[],[f102,f53]) ).

fof(f102,plain,
    ( sz00 = sdtpldt0(xa,sF2)
    | ~ aInteger0(xa) ),
    inference(superposition,[],[f52,f74]) ).

fof(f52,plain,
    ! [X0] :
      ( sz00 = sdtpldt0(X0,smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ( sz00 = sdtpldt0(X0,smndt0(X0))
        & sz00 = sdtpldt0(smndt0(X0),X0) )
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtpldt0(X0,smndt0(X0))
        & sz00 = sdtpldt0(smndt0(X0),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).

fof(f400,plain,
    ! [X21] :
      ( sdtpldt0(sF2,sdtpldt0(xa,X21)) = sdtpldt0(sz00,X21)
      | ~ aInteger0(X21) ),
    inference(subsumption_resolution,[],[f399,f78]) ).

fof(f399,plain,
    ! [X21] :
      ( sdtpldt0(sF2,sdtpldt0(xa,X21)) = sdtpldt0(sz00,X21)
      | ~ aInteger0(sF2)
      | ~ aInteger0(X21) ),
    inference(subsumption_resolution,[],[f365,f53]) ).

fof(f365,plain,
    ! [X21] :
      ( ~ aInteger0(xa)
      | ~ aInteger0(sF2)
      | ~ aInteger0(X21)
      | sdtpldt0(sF2,sdtpldt0(xa,X21)) = sdtpldt0(sz00,X21) ),
    inference(superposition,[],[f68,f97]) ).

fof(f97,plain,
    sz00 = sdtpldt0(sF2,xa),
    inference(subsumption_resolution,[],[f81,f53]) ).

fof(f81,plain,
    ( sz00 = sdtpldt0(sF2,xa)
    | ~ aInteger0(xa) ),
    inference(superposition,[],[f51,f74]) ).

fof(f51,plain,
    ! [X0] :
      ( sz00 = sdtpldt0(smndt0(X0),X0)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X1,X0),X2) = sdtpldt0(X1,sdtpldt0(X0,X2))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ~ aInteger0(X2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X1)
      | sdtpldt0(sdtpldt0(X1,X0),X2) = sdtpldt0(X1,sdtpldt0(X0,X2))
      | ~ aInteger0(X0)
      | ~ aInteger0(X2) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ! [X2,X1,X0] :
      ( ~ aInteger0(X1)
      | sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(X1,sdtpldt0(X2,X0))
      | ~ aInteger0(X2)
      | ~ aInteger0(X0) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ! [X1,X2,X0] :
      ( sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(X1,sdtpldt0(X2,X0))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ~ aInteger0(X2) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X1,X2,X0] :
      ( ( aInteger0(X1)
        & aInteger0(X0)
        & aInteger0(X2) )
     => sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(X1,sdtpldt0(X2,X0)) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X0) )
     => sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

fof(f2953,plain,
    sdtpldt0(sF2,sz00) = sF1,
    inference(forward_demodulation,[],[f2952,f1472]) ).

fof(f1472,plain,
    sdtpldt0(sz00,sF1) = sF1,
    inference(forward_demodulation,[],[f1471,f73]) ).

fof(f1471,plain,
    sdtasdt0(sF0,xa) = sdtpldt0(sz00,sF1),
    inference(forward_demodulation,[],[f1470,f310]) ).

fof(f310,plain,
    sz00 = sdtasdt0(sF0,sz00),
    inference(subsumption_resolution,[],[f305,f121]) ).

fof(f121,plain,
    aInteger0(sF1),
    inference(subsumption_resolution,[],[f120,f53]) ).

fof(f120,plain,
    ( aInteger0(sF1)
    | ~ aInteger0(xa) ),
    inference(subsumption_resolution,[],[f115,f79]) ).

fof(f79,plain,
    aInteger0(sF0),
    inference(subsumption_resolution,[],[f76,f66]) ).

fof(f66,plain,
    aInteger0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    aInteger0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).

fof(f76,plain,
    ( aInteger0(sF0)
    | ~ aInteger0(sz10) ),
    inference(superposition,[],[f71,f72]) ).

fof(f115,plain,
    ( aInteger0(sF1)
    | ~ aInteger0(sF0)
    | ~ aInteger0(xa) ),
    inference(superposition,[],[f61,f73]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ! [X1,X0] :
      ( aInteger0(sdtasdt0(X1,X0))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X1,X0] :
      ( aInteger0(sdtasdt0(X1,X0))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X1,X0] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => aInteger0(sdtasdt0(X1,X0)) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X0] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => aInteger0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).

fof(f305,plain,
    ( sz00 = sdtasdt0(sF0,sz00)
    | ~ aInteger0(sF1) ),
    inference(superposition,[],[f58,f287]) ).

fof(f287,plain,
    sdtasdt0(sF1,sz00) = sdtasdt0(sF0,sz00),
    inference(subsumption_resolution,[],[f286,f53]) ).

fof(f286,plain,
    ( sdtasdt0(sF1,sz00) = sdtasdt0(sF0,sz00)
    | ~ aInteger0(xa) ),
    inference(subsumption_resolution,[],[f277,f70]) ).

fof(f70,plain,
    aInteger0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).

fof(f277,plain,
    ( ~ aInteger0(sz00)
    | ~ aInteger0(xa)
    | sdtasdt0(sF1,sz00) = sdtasdt0(sF0,sz00) ),
    inference(superposition,[],[f266,f58]) ).

fof(f266,plain,
    ! [X19] :
      ( sdtasdt0(sF1,X19) = sdtasdt0(sF0,sdtasdt0(xa,X19))
      | ~ aInteger0(X19) ),
    inference(subsumption_resolution,[],[f265,f53]) ).

fof(f265,plain,
    ! [X19] :
      ( ~ aInteger0(xa)
      | ~ aInteger0(X19)
      | sdtasdt0(sF1,X19) = sdtasdt0(sF0,sdtasdt0(xa,X19)) ),
    inference(subsumption_resolution,[],[f231,f79]) ).

fof(f231,plain,
    ! [X19] :
      ( ~ aInteger0(X19)
      | sdtasdt0(sF1,X19) = sdtasdt0(sF0,sdtasdt0(xa,X19))
      | ~ aInteger0(sF0)
      | ~ aInteger0(xa) ),
    inference(superposition,[],[f60,f73]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X1,sdtasdt0(X2,X0)) = sdtasdt0(sdtasdt0(X1,X2),X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ~ aInteger0(X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X0)
      | ~ aInteger0(X2)
      | sdtasdt0(X1,sdtasdt0(X2,X0)) = sdtasdt0(sdtasdt0(X1,X2),X0)
      | ~ aInteger0(X1) ),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ! [X2,X1,X0] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X0)
      | sdtasdt0(X1,sdtasdt0(X0,X2)) = sdtasdt0(sdtasdt0(X1,X0),X2)
      | ~ aInteger0(X1) ),
    inference(flattening,[],[f32]) ).

fof(f32,plain,
    ! [X1,X2,X0] :
      ( sdtasdt0(X1,sdtasdt0(X0,X2)) = sdtasdt0(sdtasdt0(X1,X0),X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X1,X2,X0] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X0) )
     => sdtasdt0(X1,sdtasdt0(X0,X2)) = sdtasdt0(sdtasdt0(X1,X0),X2) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X0,X2] :
      ( ( aInteger0(X2)
        & aInteger0(X0)
        & aInteger0(X1) )
     => sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).

fof(f58,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

fof(f1470,plain,
    sdtasdt0(sF0,xa) = sdtpldt0(sdtasdt0(sF0,sz00),sF1),
    inference(subsumption_resolution,[],[f1469,f53]) ).

fof(f1469,plain,
    ( ~ aInteger0(xa)
    | sdtasdt0(sF0,xa) = sdtpldt0(sdtasdt0(sF0,sz00),sF1) ),
    inference(subsumption_resolution,[],[f1440,f70]) ).

fof(f1440,plain,
    ( ~ aInteger0(sz00)
    | ~ aInteger0(xa)
    | sdtasdt0(sF0,xa) = sdtpldt0(sdtasdt0(sF0,sz00),sF1) ),
    inference(superposition,[],[f873,f55]) ).

fof(f873,plain,
    ! [X26] :
      ( sdtasdt0(sF0,sdtpldt0(X26,xa)) = sdtpldt0(sdtasdt0(sF0,X26),sF1)
      | ~ aInteger0(X26) ),
    inference(subsumption_resolution,[],[f872,f53]) ).

fof(f872,plain,
    ! [X26] :
      ( sdtasdt0(sF0,sdtpldt0(X26,xa)) = sdtpldt0(sdtasdt0(sF0,X26),sF1)
      | ~ aInteger0(X26)
      | ~ aInteger0(xa) ),
    inference(subsumption_resolution,[],[f804,f79]) ).

fof(f804,plain,
    ! [X26] :
      ( ~ aInteger0(sF0)
      | sdtasdt0(sF0,sdtpldt0(X26,xa)) = sdtpldt0(sdtasdt0(sF0,X26),sF1)
      | ~ aInteger0(xa)
      | ~ aInteger0(X26) ),
    inference(superposition,[],[f65,f73]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1)) = sdtasdt0(X2,sdtpldt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X2)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X0)
      | ~ aInteger0(X1)
      | ( sdtpldt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1)) = sdtasdt0(X2,sdtpldt0(X0,X1))
        & sdtasdt0(sdtpldt0(X2,X0),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1)) )
      | ~ aInteger0(X2) ),
    inference(rectify,[],[f44]) ).

fof(f44,plain,
    ! [X0,X2,X1] :
      ( ~ aInteger0(X0)
      | ~ aInteger0(X2)
      | ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(X0,X2))
        & sdtasdt0(sdtpldt0(X1,X0),X2) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)) )
      | ~ aInteger0(X1) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X2,X1,X0] :
      ( ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(X0,X2))
        & sdtasdt0(sdtpldt0(X1,X0),X2) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)) )
      | ~ aInteger0(X2)
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X2,X1,X0] :
      ( ( aInteger0(X2)
        & aInteger0(X0)
        & aInteger0(X1) )
     => ( sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(X0,X2))
        & sdtasdt0(sdtpldt0(X1,X0),X2) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X0,X2] :
      ( ( aInteger0(X0)
        & aInteger0(X1)
        & aInteger0(X2) )
     => ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
        & sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).

fof(f2952,plain,
    sdtpldt0(sF2,sz00) = sdtpldt0(sz00,sF1),
    inference(subsumption_resolution,[],[f2945,f121]) ).

fof(f2945,plain,
    ( ~ aInteger0(sF1)
    | sdtpldt0(sF2,sz00) = sdtpldt0(sz00,sF1) ),
    inference(superposition,[],[f400,f2865]) ).

fof(f2865,plain,
    sz00 = sdtpldt0(xa,sF1),
    inference(subsumption_resolution,[],[f2842,f53]) ).

fof(f2842,plain,
    ( sz00 = sdtpldt0(xa,sF1)
    | ~ aInteger0(xa) ),
    inference(superposition,[],[f2841,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).

fof(f2841,plain,
    sz00 = sdtpldt0(sdtasdt0(sz10,xa),sF1),
    inference(forward_demodulation,[],[f1298,f1926]) ).

fof(f1926,plain,
    sz00 = sdtasdt0(sz00,xa),
    inference(forward_demodulation,[],[f1925,f349]) ).

fof(f349,plain,
    sz00 = sdtasdt0(sz00,sF1),
    inference(forward_demodulation,[],[f312,f310]) ).

fof(f312,plain,
    sdtasdt0(sz00,sF1) = sdtasdt0(sF0,sz00),
    inference(subsumption_resolution,[],[f311,f70]) ).

fof(f311,plain,
    ( sdtasdt0(sz00,sF1) = sdtasdt0(sF0,sz00)
    | ~ aInteger0(sz00) ),
    inference(subsumption_resolution,[],[f303,f121]) ).

fof(f303,plain,
    ( sdtasdt0(sz00,sF1) = sdtasdt0(sF0,sz00)
    | ~ aInteger0(sF1)
    | ~ aInteger0(sz00) ),
    inference(superposition,[],[f287,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aInteger0(X0)
      | ~ aInteger0(X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X0)
        & aInteger0(X1) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(f1925,plain,
    sdtasdt0(sz00,sF1) = sdtasdt0(sz00,xa),
    inference(subsumption_resolution,[],[f1924,f53]) ).

fof(f1924,plain,
    ( sdtasdt0(sz00,sF1) = sdtasdt0(sz00,xa)
    | ~ aInteger0(xa) ),
    inference(subsumption_resolution,[],[f1873,f79]) ).

fof(f1873,plain,
    ( sdtasdt0(sz00,sF1) = sdtasdt0(sz00,xa)
    | ~ aInteger0(sF0)
    | ~ aInteger0(xa) ),
    inference(superposition,[],[f270,f73]) ).

fof(f270,plain,
    ! [X10,X11] :
      ( sdtasdt0(sz00,X11) = sdtasdt0(sz00,sdtasdt0(X10,X11))
      | ~ aInteger0(X10)
      | ~ aInteger0(X11) ),
    inference(subsumption_resolution,[],[f243,f70]) ).

fof(f243,plain,
    ! [X10,X11] :
      ( ~ aInteger0(X10)
      | ~ aInteger0(sz00)
      | ~ aInteger0(X11)
      | sdtasdt0(sz00,X11) = sdtasdt0(sz00,sdtasdt0(X10,X11)) ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f227,plain,
    ! [X10,X11] :
      ( ~ aInteger0(X10)
      | ~ aInteger0(X11)
      | ~ aInteger0(sz00)
      | sdtasdt0(sz00,X11) = sdtasdt0(sz00,sdtasdt0(X10,X11))
      | ~ aInteger0(X10) ),
    inference(superposition,[],[f60,f59]) ).

fof(f59,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f1298,plain,
    sdtpldt0(sdtasdt0(sz10,xa),sF1) = sdtasdt0(sz00,xa),
    inference(subsumption_resolution,[],[f1279,f66]) ).

fof(f1279,plain,
    ( ~ aInteger0(sz10)
    | sdtpldt0(sdtasdt0(sz10,xa),sF1) = sdtasdt0(sz00,xa) ),
    inference(superposition,[],[f751,f110]) ).

fof(f110,plain,
    sz00 = sdtpldt0(sz10,sF0),
    inference(subsumption_resolution,[],[f101,f66]) ).

fof(f101,plain,
    ( sz00 = sdtpldt0(sz10,sF0)
    | ~ aInteger0(sz10) ),
    inference(superposition,[],[f52,f72]) ).

fof(f751,plain,
    ! [X26] :
      ( sdtasdt0(sdtpldt0(X26,sF0),xa) = sdtpldt0(sdtasdt0(X26,xa),sF1)
      | ~ aInteger0(X26) ),
    inference(subsumption_resolution,[],[f750,f53]) ).

fof(f750,plain,
    ! [X26] :
      ( ~ aInteger0(xa)
      | ~ aInteger0(X26)
      | sdtasdt0(sdtpldt0(X26,sF0),xa) = sdtpldt0(sdtasdt0(X26,xa),sF1) ),
    inference(subsumption_resolution,[],[f675,f79]) ).

fof(f675,plain,
    ! [X26] :
      ( sdtasdt0(sdtpldt0(X26,sF0),xa) = sdtpldt0(sdtasdt0(X26,xa),sF1)
      | ~ aInteger0(X26)
      | ~ aInteger0(sF0)
      | ~ aInteger0(xa) ),
    inference(superposition,[],[f64,f73]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtpldt0(X2,X0),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ~ aInteger0(X2) ),
    inference(cnf_transformation,[],[f48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM422+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 06:51:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.54  % (30194)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)
% 0.20/0.56  % (30202)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)
% 0.20/0.56  % (30191)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)
% 0.20/0.56  % (30199)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)
% 0.20/0.56  % (30216)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)
% 0.20/0.57  % (30206)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)
% 1.79/0.58  % (30209)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)
% 1.79/0.58  % (30200)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)
% 1.79/0.58  % (30191)Instruction limit reached!
% 1.79/0.58  % (30191)------------------------------
% 1.79/0.58  % (30191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58  % (30191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58  % (30191)Termination reason: Unknown
% 1.79/0.58  % (30191)Termination phase: Saturation
% 1.79/0.58  
% 1.79/0.58  % (30191)Memory used [KB]: 1663
% 1.79/0.58  % (30191)Time elapsed: 0.196 s
% 1.79/0.58  % (30191)Instructions burned: 16 (million)
% 1.79/0.58  % (30191)------------------------------
% 1.79/0.58  % (30191)------------------------------
% 1.79/0.58  % (30200)Instruction limit reached!
% 1.79/0.58  % (30200)------------------------------
% 1.79/0.58  % (30200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58  % (30208)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)
% 1.79/0.59  % (30200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (30200)Termination reason: Unknown
% 1.79/0.59  % (30200)Termination phase: Saturation
% 1.79/0.59  
% 1.79/0.59  % (30200)Memory used [KB]: 5884
% 1.79/0.59  % (30200)Time elapsed: 0.098 s
% 1.79/0.59  % (30200)Instructions burned: 3 (million)
% 1.79/0.59  % (30200)------------------------------
% 1.79/0.59  % (30200)------------------------------
% 1.79/0.59  % (30192)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)
% 1.79/0.59  % (30206)Refutation not found, incomplete strategy% (30206)------------------------------
% 1.79/0.59  % (30206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (30206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59  % (30206)Termination reason: Refutation not found, incomplete strategy
% 1.79/0.59  
% 1.79/0.59  % (30206)Memory used [KB]: 5884
% 1.79/0.59  % (30206)Time elapsed: 0.167 s
% 1.79/0.59  % (30206)Instructions burned: 3 (million)
% 1.79/0.59  % (30206)------------------------------
% 1.79/0.59  % (30206)------------------------------
% 1.79/0.59  % (30186)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.79/0.60  % (30211)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)
% 1.99/0.60  % (30211)Refutation not found, incomplete strategy% (30211)------------------------------
% 1.99/0.60  % (30211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.60  % (30211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60  % (30211)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.60  
% 1.99/0.60  % (30211)Memory used [KB]: 5884
% 1.99/0.60  % (30211)Time elapsed: 0.199 s
% 1.99/0.60  % (30211)Instructions burned: 3 (million)
% 1.99/0.60  % (30211)------------------------------
% 1.99/0.60  % (30211)------------------------------
% 1.99/0.61  % (30187)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)
% 1.99/0.61  % (30189)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)
% 1.99/0.61  % (30216)Instruction limit reached!
% 1.99/0.61  % (30216)------------------------------
% 1.99/0.61  % (30216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61  % (30216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61  % (30216)Termination reason: Unknown
% 1.99/0.61  % (30216)Termination phase: Saturation
% 1.99/0.61  
% 1.99/0.61  % (30216)Memory used [KB]: 6396
% 1.99/0.61  % (30216)Time elapsed: 0.219 s
% 1.99/0.61  % (30216)Instructions burned: 24 (million)
% 1.99/0.61  % (30216)------------------------------
% 1.99/0.61  % (30216)------------------------------
% 1.99/0.61  % (30198)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)
% 1.99/0.61  % (30188)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)
% 1.99/0.61  % (30198)Refutation not found, incomplete strategy% (30198)------------------------------
% 1.99/0.61  % (30198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61  % (30198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61  % (30198)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.61  
% 1.99/0.61  % (30198)Memory used [KB]: 1407
% 1.99/0.61  % (30198)Time elapsed: 0.197 s
% 1.99/0.61  % (30198)Instructions burned: 2 (million)
% 1.99/0.61  % (30198)------------------------------
% 1.99/0.61  % (30198)------------------------------
% 1.99/0.61  % (30188)Refutation not found, incomplete strategy% (30188)------------------------------
% 1.99/0.61  % (30188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61  % (30188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61  % (30188)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.61  
% 1.99/0.61  % (30188)Memory used [KB]: 5884
% 1.99/0.61  % (30188)Time elapsed: 0.200 s
% 1.99/0.61  % (30188)Instructions burned: 2 (million)
% 1.99/0.61  % (30188)------------------------------
% 1.99/0.61  % (30188)------------------------------
% 1.99/0.62  % (30203)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.99/0.62  % (30203)Instruction limit reached!
% 1.99/0.62  % (30203)------------------------------
% 1.99/0.62  % (30203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (30203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62  % (30203)Termination reason: Unknown
% 1.99/0.62  % (30203)Termination phase: Finite model building preprocessing
% 1.99/0.62  
% 1.99/0.62  % (30203)Memory used [KB]: 1407
% 1.99/0.62  % (30203)Time elapsed: 0.003 s
% 1.99/0.62  % (30203)Instructions burned: 3 (million)
% 1.99/0.62  % (30203)------------------------------
% 1.99/0.62  % (30203)------------------------------
% 1.99/0.63  % (30195)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)
% 1.99/0.63  % (30190)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)
% 1.99/0.63  % (30197)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)
% 1.99/0.63  % (30212)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)
% 1.99/0.63  % (30213)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)
% 1.99/0.64  % (30187)Instruction limit reached!
% 1.99/0.64  % (30187)------------------------------
% 1.99/0.64  % (30187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.64  % (30187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.64  % (30187)Termination reason: Unknown
% 1.99/0.64  % (30187)Termination phase: Saturation
% 1.99/0.64  
% 1.99/0.64  % (30187)Memory used [KB]: 6140
% 1.99/0.64  % (30187)Time elapsed: 0.225 s
% 1.99/0.64  % (30187)Instructions burned: 13 (million)
% 1.99/0.64  % (30187)------------------------------
% 1.99/0.64  % (30187)------------------------------
% 1.99/0.64  % (30194)Instruction limit reached!
% 1.99/0.64  % (30194)------------------------------
% 1.99/0.64  % (30194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.64  % (30194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.64  % (30194)Termination reason: Unknown
% 1.99/0.64  % (30194)Termination phase: Saturation
% 1.99/0.64  
% 1.99/0.64  % (30194)Memory used [KB]: 7036
% 1.99/0.64  % (30194)Time elapsed: 0.203 s
% 1.99/0.64  % (30194)Instructions burned: 49 (million)
% 1.99/0.64  % (30194)------------------------------
% 1.99/0.64  % (30194)------------------------------
% 1.99/0.64  % (30202)Instruction limit reached!
% 1.99/0.64  % (30202)------------------------------
% 1.99/0.64  % (30202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.64  % (30202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.64  % (30202)Termination reason: Unknown
% 1.99/0.64  % (30202)Termination phase: Saturation
% 1.99/0.64  
% 1.99/0.64  % (30202)Memory used [KB]: 6268
% 1.99/0.64  % (30202)Time elapsed: 0.229 s
% 1.99/0.64  % (30202)Instructions burned: 50 (million)
% 1.99/0.64  % (30202)------------------------------
% 1.99/0.64  % (30202)------------------------------
% 1.99/0.64  % (30201)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)
% 1.99/0.64  % (30205)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)
% 1.99/0.64  % (30214)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)
% 2.38/0.65  % (30215)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)
% 2.38/0.65  % (30192)Instruction limit reached!
% 2.38/0.65  % (30192)------------------------------
% 2.38/0.65  % (30192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.65  % (30192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.65  % (30192)Termination reason: Unknown
% 2.38/0.65  % (30192)Termination phase: Saturation
% 2.38/0.65  
% 2.38/0.65  % (30192)Memory used [KB]: 6396
% 2.38/0.65  % (30192)Time elapsed: 0.152 s
% 2.38/0.65  % (30192)Instructions burned: 39 (million)
% 2.38/0.65  % (30192)------------------------------
% 2.38/0.65  % (30192)------------------------------
% 2.38/0.65  % (30204)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)
% 2.38/0.65  % (30193)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)
% 2.38/0.65  % (30204)Instruction limit reached!
% 2.38/0.65  % (30204)------------------------------
% 2.38/0.65  % (30204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.65  % (30204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.65  % (30204)Termination reason: Unknown
% 2.38/0.65  % (30204)Termination phase: Saturation
% 2.38/0.65  
% 2.38/0.65  % (30204)Memory used [KB]: 1407
% 2.38/0.65  % (30204)Time elapsed: 0.003 s
% 2.38/0.65  % (30204)Instructions burned: 2 (million)
% 2.38/0.65  % (30204)------------------------------
% 2.38/0.65  % (30204)------------------------------
% 2.38/0.65  % (30196)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)
% 2.38/0.65  % (30207)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)
% 2.38/0.65  % (30209)Instruction limit reached!
% 2.38/0.65  % (30209)------------------------------
% 2.38/0.65  % (30209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.65  % (30209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.65  % (30209)Termination reason: Unknown
% 2.38/0.65  % (30209)Termination phase: Saturation
% 2.38/0.65  
% 2.38/0.65  % (30209)Memory used [KB]: 2046
% 2.38/0.65  % (30209)Time elapsed: 0.154 s
% 2.38/0.65  % (30209)Instructions burned: 45 (million)
% 2.38/0.65  % (30209)------------------------------
% 2.38/0.65  % (30209)------------------------------
% 2.38/0.65  % (30196)Refutation not found, incomplete strategy% (30196)------------------------------
% 2.38/0.65  % (30196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.65  % (30196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.65  % (30196)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.65  
% 2.38/0.65  % (30196)Memory used [KB]: 5884
% 2.38/0.65  % (30196)Time elapsed: 0.229 s
% 2.38/0.65  % (30196)Instructions burned: 2 (million)
% 2.38/0.65  % (30196)------------------------------
% 2.38/0.65  % (30196)------------------------------
% 2.38/0.65  % (30205)Refutation not found, incomplete strategy% (30205)------------------------------
% 2.38/0.65  % (30205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.65  % (30205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.65  % (30205)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.65  
% 2.38/0.65  % (30205)Memory used [KB]: 5884
% 2.38/0.65  % (30205)Time elapsed: 0.230 s
% 2.38/0.65  % (30205)Instructions burned: 2 (million)
% 2.38/0.65  % (30205)------------------------------
% 2.38/0.65  % (30205)------------------------------
% 2.38/0.65  % (30197)Instruction limit reached!
% 2.38/0.65  % (30197)------------------------------
% 2.38/0.65  % (30197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.65  % (30197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.65  % (30197)Termination reason: Unknown
% 2.38/0.65  % (30197)Termination phase: Saturation
% 2.38/0.65  
% 2.38/0.65  % (30197)Memory used [KB]: 6012
% 2.38/0.65  % (30197)Time elapsed: 0.225 s
% 2.38/0.65  % (30197)Instructions burned: 7 (million)
% 2.38/0.65  % (30197)------------------------------
% 2.38/0.65  % (30197)------------------------------
% 2.38/0.66  % (30190)Instruction limit reached!
% 2.38/0.66  % (30190)------------------------------
% 2.38/0.66  % (30190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.66  % (30190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.66  % (30190)Termination reason: Unknown
% 2.38/0.66  % (30190)Termination phase: Saturation
% 2.38/0.66  
% 2.38/0.66  % (30190)Memory used [KB]: 6140
% 2.38/0.66  % (30190)Time elapsed: 0.242 s
% 2.38/0.66  % (30190)Instructions burned: 14 (million)
% 2.38/0.66  % (30190)------------------------------
% 2.38/0.66  % (30190)------------------------------
% 2.38/0.66  % (30215)Refutation not found, incomplete strategy% (30215)------------------------------
% 2.38/0.66  % (30215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.66  % (30215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.66  % (30215)Termination reason: Refutation not found, incomplete strategy
% 2.38/0.66  
% 2.38/0.66  % (30215)Memory used [KB]: 5884
% 2.38/0.66  % (30215)Time elapsed: 0.238 s
% 2.38/0.66  % (30215)Instructions burned: 2 (million)
% 2.38/0.66  % (30215)------------------------------
% 2.38/0.66  % (30215)------------------------------
% 2.38/0.67  % (30201)Instruction limit reached!
% 2.38/0.67  % (30201)------------------------------
% 2.38/0.67  % (30201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.67  % (30201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.67  % (30201)Termination reason: Unknown
% 2.38/0.67  % (30201)Termination phase: Saturation
% 2.38/0.67  
% 2.38/0.67  % (30201)Memory used [KB]: 6012
% 2.38/0.67  % (30201)Time elapsed: 0.234 s
% 2.38/0.67  % (30201)Instructions burned: 7 (million)
% 2.38/0.67  % (30201)------------------------------
% 2.38/0.67  % (30201)------------------------------
% 2.38/0.68  % (30199)Instruction limit reached!
% 2.38/0.68  % (30199)------------------------------
% 2.38/0.68  % (30199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.68  % (30199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.68  % (30199)Termination reason: Unknown
% 2.38/0.68  % (30199)Termination phase: Saturation
% 2.38/0.68  
% 2.38/0.68  % (30199)Memory used [KB]: 7036
% 2.38/0.68  % (30199)Time elapsed: 0.259 s
% 2.38/0.68  % (30199)Instructions burned: 52 (million)
% 2.38/0.68  % (30199)------------------------------
% 2.38/0.68  % (30199)------------------------------
% 2.38/0.69  % (30214)Instruction limit reached!
% 2.38/0.69  % (30214)------------------------------
% 2.38/0.69  % (30214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.69  % (30214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.69  % (30214)Termination reason: Unknown
% 2.38/0.69  % (30214)Termination phase: Saturation
% 2.38/0.69  
% 2.38/0.69  % (30214)Memory used [KB]: 6268
% 2.38/0.69  % (30214)Time elapsed: 0.274 s
% 2.38/0.69  % (30214)Instructions burned: 25 (million)
% 2.38/0.69  % (30214)------------------------------
% 2.38/0.69  % (30214)------------------------------
% 2.60/0.72  % (30195)Instruction limit reached!
% 2.60/0.72  % (30195)------------------------------
% 2.60/0.72  % (30195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.72  % (30195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.72  % (30195)Termination reason: Unknown
% 2.60/0.72  % (30195)Termination phase: Saturation
% 2.60/0.72  
% 2.60/0.72  % (30195)Memory used [KB]: 6652
% 2.60/0.72  % (30195)Time elapsed: 0.304 s
% 2.60/0.72  % (30195)Instructions burned: 34 (million)
% 2.60/0.72  % (30195)------------------------------
% 2.60/0.72  % (30195)------------------------------
% 2.60/0.73  % (30236)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.60/0.73  % (30189)Instruction limit reached!
% 2.60/0.73  % (30189)------------------------------
% 2.60/0.73  % (30189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.73  % (30189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.73  % (30189)Termination reason: Unknown
% 2.60/0.73  % (30189)Termination phase: Saturation
% 2.60/0.73  
% 2.60/0.73  % (30189)Memory used [KB]: 7164
% 2.60/0.73  % (30189)Time elapsed: 0.311 s
% 2.60/0.73  % (30189)Instructions burned: 51 (million)
% 2.60/0.73  % (30189)------------------------------
% 2.60/0.73  % (30189)------------------------------
% 2.60/0.73  % (30233)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 (2997ds/92Mi)
% 2.60/0.73  % (30233)Refutation not found, incomplete strategy% (30233)------------------------------
% 2.60/0.73  % (30233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.73  % (30233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.73  % (30233)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.73  
% 2.60/0.73  % (30233)Memory used [KB]: 5884
% 2.60/0.73  % (30233)Time elapsed: 0.125 s
% 2.60/0.73  % (30233)Instructions burned: 2 (million)
% 2.60/0.73  % (30233)------------------------------
% 2.60/0.73  % (30233)------------------------------
% 2.74/0.75  % (30193)Instruction limit reached!
% 2.74/0.75  % (30193)------------------------------
% 2.74/0.75  % (30193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.75  % (30193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.75  % (30193)Termination reason: Unknown
% 2.74/0.75  % (30193)Termination phase: Saturation
% 2.74/0.75  
% 2.74/0.75  % (30193)Memory used [KB]: 6780
% 2.74/0.75  % (30193)Time elapsed: 0.314 s
% 2.74/0.75  % (30193)Instructions burned: 39 (million)
% 2.74/0.75  % (30193)------------------------------
% 2.74/0.75  % (30193)------------------------------
% 2.74/0.77  % (30242)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.74/0.77  % (30245)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)
% 2.74/0.78  % (30247)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)
% 2.74/0.78  % (30244)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 (2997ds/84Mi)
% 2.74/0.78  % (30208)Instruction limit reached!
% 2.74/0.78  % (30208)------------------------------
% 2.74/0.78  % (30208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.78  % (30208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.78  % (30208)Termination reason: Unknown
% 2.74/0.78  % (30208)Termination phase: Saturation
% 2.74/0.78  
% 2.74/0.78  % (30208)Memory used [KB]: 8187
% 2.74/0.78  % (30208)Time elapsed: 0.358 s
% 2.74/0.78  % (30208)Instructions burned: 83 (million)
% 2.74/0.78  % (30208)------------------------------
% 2.74/0.78  % (30208)------------------------------
% 2.74/0.80  % (30244)Refutation not found, incomplete strategy% (30244)------------------------------
% 2.74/0.80  % (30244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.80  % (30244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.80  % (30244)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.80  
% 2.74/0.80  % (30244)Memory used [KB]: 5884
% 2.74/0.80  % (30244)Time elapsed: 0.116 s
% 2.74/0.80  % (30244)Instructions burned: 2 (million)
% 2.74/0.80  % (30244)------------------------------
% 2.74/0.80  % (30244)------------------------------
% 2.74/0.82  % (30235)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 (2997ds/87Mi)
% 2.74/0.83  % (30186)First to succeed.
% 2.74/0.84  % (30186)Refutation found. Thanks to Tanya!
% 2.74/0.84  % SZS status Theorem for theBenchmark
% 2.74/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 2.74/0.84  % (30186)------------------------------
% 2.74/0.84  % (30186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.84  % (30186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.84  % (30186)Termination reason: Refutation
% 2.74/0.84  
% 2.74/0.84  % (30186)Memory used [KB]: 7036
% 2.74/0.84  % (30186)Time elapsed: 0.425 s
% 2.74/0.84  % (30186)Instructions burned: 84 (million)
% 2.74/0.84  % (30186)------------------------------
% 2.74/0.84  % (30186)------------------------------
% 2.74/0.84  % (30182)Success in time 0.495 s
%------------------------------------------------------------------------------