TSTP Solution File: SWW252+1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW252+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 18:31:45 EDT 2024

% Result   : Theorem 20.68s 3.40s
% Output   : Refutation 20.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   80 (  14 unt;   0 def)
%            Number of atoms       :  224 ( 129 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  234 (  90   ~;  95   |;  17   &)
%                                         (   6 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;   9 con; 0-5 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7683,plain,
    $false,
    inference(avatar_sat_refutation,[],[f5407,f5581,f5816,f7401,f7653]) ).

fof(f7653,plain,
    ( spl82_1
    | ~ spl82_2 ),
    inference(avatar_contradiction_clause,[],[f7652]) ).

fof(f7652,plain,
    ( $false
    | spl82_1
    | ~ spl82_2 ),
    inference(subsumption_resolution,[],[f7651,f3691]) ).

fof(f3691,plain,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,axiom,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7651,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | spl82_1
    | ~ spl82_2 ),
    inference(subsumption_resolution,[],[f7624,f3493]) ).

fof(f3493,plain,
    class_Rings_Odivision__ring(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1178]) ).

fof(f1178,axiom,
    class_Rings_Odivision__ring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7624,plain,
    ( ~ class_Rings_Odivision__ring(tc_Complex_Ocomplex)
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | spl82_1
    | ~ spl82_2 ),
    inference(trivial_inequality_removal,[],[f7587]) ).

fof(f7587,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | ~ class_Rings_Odivision__ring(tc_Complex_Ocomplex)
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | spl82_1
    | ~ spl82_2 ),
    inference(superposition,[],[f3976,f7532]) ).

fof(f7532,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))
    | spl82_1
    | ~ spl82_2 ),
    inference(subsumption_resolution,[],[f7531,f3564]) ).

fof(f3564,plain,
    class_Rings_Oidom(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1194]) ).

fof(f1194,axiom,
    class_Rings_Oidom(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7531,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))
    | ~ class_Rings_Oidom(tc_Complex_Ocomplex)
    | spl82_1
    | ~ spl82_2 ),
    inference(subsumption_resolution,[],[f7526,f5402]) ).

fof(f5402,plain,
    ( v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | spl82_1 ),
    inference(avatar_component_clause,[],[f5400]) ).

fof(f5400,plain,
    ( spl82_1
  <=> v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_1])]) ).

fof(f7526,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))
    | v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ class_Rings_Oidom(tc_Complex_Ocomplex)
    | ~ spl82_2 ),
    inference(trivial_inequality_removal,[],[f7511]) ).

fof(f7511,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))
    | v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ class_Rings_Oidom(tc_Complex_Ocomplex)
    | ~ spl82_2 ),
    inference(superposition,[],[f4542,f5405]) ).

fof(f5405,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)
    | ~ spl82_2 ),
    inference(avatar_component_clause,[],[f5404]) ).

fof(f5404,plain,
    ( spl82_2
  <=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_2])]) ).

fof(f4542,plain,
    ! [X2,X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_Osmult(X2,X1,X0)
      | c_Groups_Ozero__class_Ozero(X2) = X1
      | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
      | ~ class_Rings_Oidom(X2) ),
    inference(cnf_transformation,[],[f2857]) ).

fof(f2857,plain,
    ! [X0,X1,X2] :
      ( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,X1,X0)
      <=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
          | c_Groups_Ozero__class_Ozero(X2) = X1 ) )
      | ~ class_Rings_Oidom(X2) ),
    inference(ennf_transformation,[],[f1882]) ).

fof(f1882,plain,
    ! [X0,X1,X2] :
      ( class_Rings_Oidom(X2)
     => ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = c_Polynomial_Osmult(X2,X1,X0)
      <=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
          | c_Groups_Ozero__class_Ozero(X2) = X1 ) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X10,X11,X8] :
      ( class_Rings_Oidom(X8)
     => ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) = c_Polynomial_Osmult(X8,X11,X10)
      <=> ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) = X10
          | c_Groups_Ozero__class_Ozero(X8) = X11 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f3976,plain,
    ! [X0,X1] :
      ( c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1)
      | ~ class_Rings_Odivision__ring(X1)
      | c_Groups_Ozero__class_Ozero(X1) = X0 ),
    inference(cnf_transformation,[],[f2450]) ).

fof(f2450,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(X1) = X0
      | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1)
      | ~ class_Rings_Odivision__ring(X1) ),
    inference(flattening,[],[f2449]) ).

fof(f2449,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(X1) = X0
      | c_Rings_Oinverse__class_Oinverse(X1,X0) != c_Groups_Ozero__class_Ozero(X1)
      | ~ class_Rings_Odivision__ring(X1) ),
    inference(ennf_transformation,[],[f1501]) ).

fof(f1501,plain,
    ! [X0,X1] :
      ( class_Rings_Odivision__ring(X1)
     => ( c_Rings_Oinverse__class_Oinverse(X1,X0) = c_Groups_Ozero__class_Ozero(X1)
       => c_Groups_Ozero__class_Ozero(X1) = X0 ) ),
    inference(rectify,[],[f111]) ).

fof(f111,axiom,
    ! [X16,X8] :
      ( class_Rings_Odivision__ring(X8)
     => ( c_Groups_Ozero__class_Ozero(X8) = c_Rings_Oinverse__class_Oinverse(X8,X16)
       => c_Groups_Ozero__class_Ozero(X8) = X16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7401,plain,
    spl82_8,
    inference(avatar_contradiction_clause,[],[f7400]) ).

fof(f7400,plain,
    ( $false
    | spl82_8 ),
    inference(subsumption_resolution,[],[f7399,f3691]) ).

fof(f7399,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | spl82_8 ),
    inference(subsumption_resolution,[],[f7356,f3493]) ).

fof(f7356,plain,
    ( ~ class_Rings_Odivision__ring(tc_Complex_Ocomplex)
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | spl82_8 ),
    inference(trivial_inequality_removal,[],[f7319]) ).

fof(f7319,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | ~ class_Rings_Odivision__ring(tc_Complex_Ocomplex)
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
    | spl82_8 ),
    inference(superposition,[],[f3976,f7260]) ).

fof(f7260,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))
    | spl82_8 ),
    inference(subsumption_resolution,[],[f7259,f3564]) ).

fof(f7259,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))
    | ~ class_Rings_Oidom(tc_Complex_Ocomplex)
    | spl82_8 ),
    inference(trivial_inequality_removal,[],[f7255]) ).

fof(f7255,plain,
    ( hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____)) != hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____))
    | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))
    | ~ class_Rings_Oidom(tc_Complex_Ocomplex)
    | spl82_8 ),
    inference(superposition,[],[f6452,f4535]) ).

fof(f4535,plain,
    ! [X2,X0,X1] :
      ( c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0))
      | c_Groups_Ozero__class_Ozero(X2) = X1
      | ~ class_Rings_Oidom(X2) ),
    inference(cnf_transformation,[],[f2851]) ).

fof(f2851,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0))
          | c_Groups_Ozero__class_Ozero(X2) = X1 )
        & ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0))
          | c_Groups_Ozero__class_Ozero(X2) != X1 ) )
      | ~ class_Rings_Oidom(X2) ),
    inference(ennf_transformation,[],[f1878]) ).

fof(f1878,plain,
    ! [X0,X1,X2] :
      ( class_Rings_Oidom(X2)
     => ( ( c_Groups_Ozero__class_Ozero(X2) != X1
         => c_Polynomial_Odegree(X2,X0) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)) )
        & ( c_Groups_Ozero__class_Ozero(X2) = X1
         => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X0)) ) ) ),
    inference(rectify,[],[f375]) ).

fof(f375,axiom,
    ! [X9,X16,X8] :
      ( class_Rings_Oidom(X8)
     => ( ( c_Groups_Ozero__class_Ozero(X8) != X16
         => c_Polynomial_Odegree(X8,X9) = c_Polynomial_Odegree(X8,c_Polynomial_Osmult(X8,X16,X9)) )
        & ( c_Groups_Ozero__class_Ozero(X8) = X16
         => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X8,c_Polynomial_Osmult(X8,X16,X9)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6452,plain,
    ( hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))) != hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____))
    | spl82_8 ),
    inference(subsumption_resolution,[],[f6445,f3651]) ).

fof(f3651,plain,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1193]) ).

fof(f1193,axiom,
    class_Groups_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6445,plain,
    ( hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))) != hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_q____))
    | ~ class_Groups_Ozero(tc_Complex_Ocomplex)
    | spl82_8 ),
    inference(superposition,[],[f5938,f4065]) ).

fof(f4065,plain,
    ! [X0,X1] :
      ( c_Polynomial_Odegree(X1,X0) = c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,X1,tc_HOL_Obool,hAPP(c_COMBB(X1,tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(X1,X0)),c_Groups_Ozero__class_Ozero(X1)))))
      | ~ class_Groups_Ozero(X1) ),
    inference(cnf_transformation,[],[f2519]) ).

fof(f2519,plain,
    ! [X0,X1] :
      ( c_Polynomial_Odegree(X1,X0) = c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,X1,tc_HOL_Obool,hAPP(c_COMBB(X1,tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(X1,X0)),c_Groups_Ozero__class_Ozero(X1)))))
      | ~ class_Groups_Ozero(X1) ),
    inference(ennf_transformation,[],[f1567]) ).

fof(f1567,plain,
    ! [X0,X1] :
      ( class_Groups_Ozero(X1)
     => c_Polynomial_Odegree(X1,X0) = c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,X1,tc_HOL_Obool,hAPP(c_COMBB(X1,tc_fun(X1,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(X1,X0)),c_Groups_Ozero__class_Ozero(X1))))) ),
    inference(rectify,[],[f272]) ).

fof(f272,axiom,
    ! [X10,X8] :
      ( class_Groups_Ozero(X8)
     => c_Polynomial_Odegree(X8,X10) = c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,X8,tc_HOL_Obool,hAPP(c_COMBB(X8,tc_fun(X8,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(X8,X10)),c_Groups_Ozero__class_Ozero(X8))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5938,plain,
    ( hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)))
    | spl82_8 ),
    inference(subsumption_resolution,[],[f5931,f3651]) ).

fof(f5931,plain,
    ( hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)))
    | ~ class_Groups_Ozero(tc_Complex_Ocomplex)
    | spl82_8 ),
    inference(superposition,[],[f5580,f4065]) ).

fof(f5580,plain,
    ( hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
    | spl82_8 ),
    inference(avatar_component_clause,[],[f5578]) ).

fof(f5578,plain,
    ( spl82_8
  <=> hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_8])]) ).

fof(f5816,plain,
    ( ~ spl82_1
    | spl82_2 ),
    inference(avatar_contradiction_clause,[],[f5788]) ).

fof(f5788,plain,
    ( $false
    | ~ spl82_1
    | spl82_2 ),
    inference(subsumption_resolution,[],[f5582,f5755]) ).

fof(f5755,plain,
    ( ! [X0] : v_q____ = c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,v_q____)
    | ~ spl82_1 ),
    inference(subsumption_resolution,[],[f5596,f3655]) ).

fof(f3655,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1177]) ).

fof(f1177,axiom,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5596,plain,
    ( ! [X0] :
        ( v_q____ = c_Polynomial_Osmult(tc_Complex_Ocomplex,X0,v_q____)
        | ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )
    | ~ spl82_1 ),
    inference(superposition,[],[f4077,f5401]) ).

fof(f5401,plain,
    ( v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ spl82_1 ),
    inference(avatar_component_clause,[],[f5400]) ).

fof(f4077,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
      | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(cnf_transformation,[],[f2530]) ).

fof(f2530,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
      | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(ennf_transformation,[],[f1577]) ).

fof(f1577,plain,
    ! [X0,X1] :
      ( class_Rings_Ocomm__semiring__0(X1)
     => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Polynomial_Osmult(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
    inference(rectify,[],[f61]) ).

fof(f61,axiom,
    ! [X16,X8] :
      ( class_Rings_Ocomm__semiring__0(X8)
     => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)) = c_Polynomial_Osmult(X8,X16,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5582,plain,
    ( v_q____ != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)
    | ~ spl82_1
    | spl82_2 ),
    inference(backward_demodulation,[],[f5406,f5401]) ).

fof(f5406,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)
    | spl82_2 ),
    inference(avatar_component_clause,[],[f5404]) ).

fof(f5581,plain,
    ( spl82_1
    | ~ spl82_8
    | spl82_2 ),
    inference(avatar_split_clause,[],[f5442,f5404,f5578,f5400]) ).

fof(f5442,plain,
    ( hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
    | v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | spl82_2 ),
    inference(subsumption_resolution,[],[f5398,f5406]) ).

fof(f5398,plain,
    ( hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
    | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)
    | v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(forward_demodulation,[],[f5397,f3697]) ).

fof(f3697,plain,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,axiom,
    hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5397,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)
    | v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) ),
    inference(forward_demodulation,[],[f3473,f3697]) ).

fof(f3473,plain,
    ( c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) ),
    inference(cnf_transformation,[],[f2300]) ).

fof(f2300,plain,
    ( ( ( ( hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
          & v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
        | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
          & v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) )
      & c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
    | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
      & v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      & c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
    inference(flattening,[],[f2299]) ).

fof(f2299,plain,
    ( ( ( ( hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
          & v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
        | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
          & v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) )
      & c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) )
    | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))))
      & v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      & c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ) ),
    inference(ennf_transformation,[],[f1259]) ).

fof(f1259,negated_conjecture,
    ~ ( ( c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
       => ( ( v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
           => hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) )
          & ( v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
           => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) ) ) )
      & ( c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
       => ( v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
         => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) ) ) ),
    inference(negated_conjecture,[],[f1258]) ).

fof(f1258,conjecture,
    ( ( c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
     => ( ( v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
         => hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) )
        & ( v_q____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
         => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) ) ) )
    & ( c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
     => ( v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
       => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_Nat_Onat,c_HOL_OAll(tc_Nat_Onat)),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat,c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat,c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat,c_fimplies)),c_Orderings_Oord__class_Oless(tc_Nat_Onat))),c_COMBC(tc_Nat_Onat,tc_Complex_Ocomplex,tc_HOL_Obool,hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_HOL_Obool),tc_Nat_Onat,c_fequal),c_Polynomial_Ocoeff(tc_Complex_Ocomplex,v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5407,plain,
    ( ~ spl82_1
    | ~ spl82_2 ),
    inference(avatar_split_clause,[],[f5396,f5404,f5400]) ).

fof(f5396,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),v_q____)
    | v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(forward_demodulation,[],[f3480,f3697]) ).

fof(f3480,plain,
    ( v_q____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(cnf_transformation,[],[f2300]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWW252+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Jun 19 07:30:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49  % (20685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (20689)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.22/0.49  % (20685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (20690)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.22/0.49  % (20685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (20691)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.22/0.49  % (20685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (20686)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.22/0.49  % (20685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (20688)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.22/0.49  % (20685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (20687)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.22/0.49  % (20685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.49  % (20692)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.22/0.51  % (20690)Refutation not found, incomplete strategy% (20690)------------------------------
% 0.22/0.51  % (20690)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.51  % (20690)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.51  % (20690)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51  
% 0.22/0.51  % (20690)Memory used [KB]: 2473
% 0.22/0.51  % (20690)Time elapsed: 0.021 s
% 0.22/0.51  % (20690)Instructions burned: 33 (million)
% 0.22/0.51  % (20690)------------------------------
% 0.22/0.51  % (20690)------------------------------
% 0.22/0.58  % (20685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.58  % (20693)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2999ds/125Mi)
% 1.19/0.58  % (20692)Refutation not found, incomplete strategy% (20692)------------------------------
% 1.19/0.58  % (20692)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.19/0.58  % (20692)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.19/0.58  % (20692)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.58  
% 1.19/0.58  % (20692)Memory used [KB]: 4922
% 1.19/0.58  % (20692)Time elapsed: 0.091 s
% 1.19/0.58  % (20692)Instructions burned: 168 (million)
% 1.19/0.59  % (20692)------------------------------
% 1.19/0.59  % (20692)------------------------------
% 1.34/0.62  % (20693)Instruction limit reached!
% 1.34/0.62  % (20693)------------------------------
% 1.34/0.62  % (20693)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.62  % (20693)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.62  % (20693)Termination reason: Time limit
% 1.34/0.62  % (20693)Termination phase: Saturation
% 1.34/0.62  
% 1.34/0.62  % (20693)Memory used [KB]: 3902
% 1.34/0.62  % (20693)Time elapsed: 0.046 s
% 1.34/0.62  % (20693)Instructions burned: 125 (million)
% 1.34/0.62  % (20685)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.62  % (20695)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.59/0.65  % (20691)Instruction limit reached!
% 1.59/0.65  % (20691)------------------------------
% 1.59/0.65  % (20691)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.59/0.65  % (20691)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.59/0.65  % (20691)Termination reason: Time limit
% 1.59/0.65  % (20691)Termination phase: Saturation
% 1.59/0.65  
% 1.59/0.65  % (20691)Memory used [KB]: 4265
% 1.59/0.65  % (20691)Time elapsed: 0.161 s
% 1.59/0.65  % (20691)Instructions burned: 347 (million)
% 1.59/0.65  % (20685)Running in auto input_syntax mode. Trying TPTP
% 1.59/0.65  % (20696)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2998ds/325Mi)
% 1.59/0.67  % (20695)Refutation not found, incomplete strategy% (20695)------------------------------
% 1.59/0.67  % (20695)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.59/0.67  % (20695)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.59/0.67  % (20695)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.67  
% 1.59/0.67  % (20695)Memory used [KB]: 5208
% 1.59/0.67  % (20695)Time elapsed: 0.046 s
% 1.59/0.67  % (20695)Instructions burned: 157 (million)
% 1.59/0.67  % (20695)------------------------------
% 1.59/0.67  % (20695)------------------------------
% 1.59/0.69  % (20685)Running in auto input_syntax mode. Trying TPTP
% 1.59/0.69  % (20697)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 1.59/0.70  % (20685)Running in auto input_syntax mode. Trying TPTP
% 1.59/0.70  % (20698)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2997ds/156Mi)
% 1.59/0.72  % (20698)Refutation not found, incomplete strategy% (20698)------------------------------
% 1.59/0.72  % (20698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.59/0.72  % (20698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.59/0.72  % (20698)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.72  
% 1.59/0.72  % (20698)Memory used [KB]: 3233
% 1.59/0.72  % (20698)Time elapsed: 0.020 s
% 1.59/0.72  % (20698)Instructions burned: 64 (million)
% 1.59/0.72  % (20698)------------------------------
% 1.59/0.72  % (20698)------------------------------
% 2.13/0.74  % (20696)Instruction limit reached!
% 2.13/0.74  % (20696)------------------------------
% 2.13/0.74  % (20696)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.13/0.74  % (20696)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.13/0.74  % (20696)Termination reason: Time limit
% 2.13/0.74  % (20696)Termination phase: Saturation
% 2.13/0.74  
% 2.13/0.74  % (20696)Memory used [KB]: 5426
% 2.13/0.74  % (20696)Time elapsed: 0.090 s
% 2.13/0.74  % (20696)Instructions burned: 325 (million)
% 2.13/0.75  % (20697)Instruction limit reached!
% 2.13/0.75  % (20697)------------------------------
% 2.13/0.75  % (20697)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.13/0.75  % (20697)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.13/0.75  % (20697)Termination reason: Time limit
% 2.13/0.75  % (20697)Termination phase: Saturation
% 2.13/0.75  
% 2.13/0.75  % (20697)Memory used [KB]: 4155
% 2.13/0.75  % (20697)Time elapsed: 0.069 s
% 2.13/0.75  % (20697)Instructions burned: 268 (million)
% 2.13/0.76  % (20685)Running in auto input_syntax mode. Trying TPTP
% 2.13/0.76  % (20699)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2997ds/200Mi)
% 2.13/0.78  % (20685)Running in auto input_syntax mode. Trying TPTP
% 2.13/0.78  % (20700)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2997ds/203Mi)
% 2.13/0.79  % (20685)Running in auto input_syntax mode. Trying TPTP
% 2.13/0.79  % (20701)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2996ds/1027Mi)
% 2.60/0.81  % (20699)Instruction limit reached!
% 2.60/0.81  % (20699)------------------------------
% 2.60/0.81  % (20699)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.60/0.81  % (20699)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.60/0.81  % (20699)Termination reason: Time limit
% 2.60/0.81  % (20699)Termination phase: Saturation
% 2.60/0.81  
% 2.60/0.81  % (20699)Memory used [KB]: 4430
% 2.60/0.81  % (20699)Time elapsed: 0.059 s
% 2.60/0.81  % (20699)Instructions burned: 202 (million)
% 2.60/0.82  % (20701)Refutation not found, incomplete strategy% (20701)------------------------------
% 2.60/0.82  % (20701)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.60/0.82  % (20701)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.60/0.82  % (20701)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.82  
% 2.60/0.82  % (20701)Memory used [KB]: 4578
% 2.60/0.82  % (20701)Time elapsed: 0.035 s
% 2.60/0.82  % (20701)Instructions burned: 122 (million)
% 2.60/0.82  % (20701)------------------------------
% 2.60/0.82  % (20701)------------------------------
% 2.60/0.85  % (20685)Running in auto input_syntax mode. Trying TPTP
% 2.60/0.85  % (20702)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2996ds/316Mi)
% 2.60/0.85  % (20700)Instruction limit reached!
% 2.60/0.85  % (20700)------------------------------
% 2.60/0.85  % (20700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.60/0.85  % (20700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.60/0.85  % (20700)Termination reason: Time limit
% 2.60/0.85  % (20700)Termination phase: Saturation
% 2.60/0.85  
% 2.60/0.85  % (20700)Memory used [KB]: 4265
% 2.60/0.85  % (20700)Time elapsed: 0.074 s
% 2.60/0.85  % (20700)Instructions burned: 205 (million)
% 3.11/0.86  % (20685)Running in auto input_syntax mode. Trying TPTP
% 3.11/0.86  % (20703)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2996ds/426Mi)
% 3.13/0.88  % (20685)Running in auto input_syntax mode. Trying TPTP
% 3.13/0.88  % (20704)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/260Mi)
% 3.13/0.89  % (20702)Refutation not found, incomplete strategy% (20702)------------------------------
% 3.13/0.89  % (20702)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.13/0.89  % (20702)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.13/0.89  % (20702)Termination reason: Refutation not found, incomplete strategy
% 3.13/0.89  
% 3.13/0.89  % (20702)Memory used [KB]: 4377
% 3.13/0.89  % (20702)Time elapsed: 0.065 s
% 3.13/0.89  % (20702)Instructions burned: 136 (million)
% 3.13/0.89  % (20702)------------------------------
% 3.13/0.89  % (20702)------------------------------
% 3.37/0.93  % (20703)Refutation not found, incomplete strategy% (20703)------------------------------
% 3.37/0.93  % (20703)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.37/0.93  % (20703)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.37/0.93  % (20703)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.93  
% 3.37/0.93  % (20703)Memory used [KB]: 6264
% 3.37/0.93  % (20703)Time elapsed: 0.070 s
% 3.37/0.93  % (20703)Instructions burned: 226 (million)
% 3.37/0.93  % (20703)------------------------------
% 3.37/0.93  % (20703)------------------------------
% 3.37/0.93  % (20685)Running in auto input_syntax mode. Trying TPTP
% 3.37/0.93  % (20705)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2995ds/160Mi)
% 3.62/0.96  % (20685)Running in auto input_syntax mode. Trying TPTP
% 3.62/0.96  % (20706)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2995ds/462Mi)
% 3.62/0.97  % (20704)Instruction limit reached!
% 3.62/0.97  % (20704)------------------------------
% 3.62/0.97  % (20704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.62/0.97  % (20704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.62/0.97  % (20704)Termination reason: Time limit
% 3.62/0.97  % (20704)Termination phase: Saturation
% 3.62/0.97  
% 3.62/0.97  % (20704)Memory used [KB]: 4695
% 3.62/0.97  % (20704)Time elapsed: 0.088 s
% 3.62/0.97  % (20704)Instructions burned: 261 (million)
% 3.62/0.98  % (20705)Instruction limit reached!
% 3.62/0.98  % (20705)------------------------------
% 3.62/0.98  % (20705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.62/0.98  % (20705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.62/0.98  % (20705)Termination reason: Time limit
% 3.62/0.98  % (20705)Termination phase: Saturation
% 3.62/0.98  
% 3.62/0.98  % (20705)Memory used [KB]: 4399
% 3.62/0.98  % (20705)Time elapsed: 0.050 s
% 3.62/0.98  % (20705)Instructions burned: 160 (million)
% 3.62/1.00  % (20685)Running in auto input_syntax mode. Trying TPTP
% 3.62/1.00  % (20707)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2994ds/2185Mi)
% 3.62/1.01  % (20685)Running in auto input_syntax mode. Trying TPTP
% 3.62/1.01  % (20708)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=308:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2994ds/308Mi)
% 4.24/1.09  % (20708)Instruction limit reached!
% 4.24/1.09  % (20708)------------------------------
% 4.24/1.09  % (20708)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.24/1.09  % (20708)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.24/1.09  % (20708)Termination reason: Time limit
% 4.24/1.09  % (20708)Termination phase: Saturation
% 4.24/1.09  
% 4.24/1.09  % (20708)Memory used [KB]: 7888
% 4.24/1.09  % (20708)Time elapsed: 0.084 s
% 4.24/1.09  % (20708)Instructions burned: 310 (million)
% 4.46/1.11  % (20706)Instruction limit reached!
% 4.46/1.11  % (20706)------------------------------
% 4.46/1.11  % (20706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.46/1.11  % (20706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.46/1.11  % (20706)Termination reason: Time limit
% 4.46/1.11  % (20706)Termination phase: Saturation
% 4.46/1.11  
% 4.46/1.11  % (20706)Memory used [KB]: 7509
% 4.46/1.11  % (20706)Time elapsed: 0.148 s
% 4.46/1.11  % (20706)Instructions burned: 464 (million)
% 4.46/1.13  % (20685)Running in auto input_syntax mode. Trying TPTP
% 4.46/1.13  % (20712)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=336:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on theBenchmark for (2993ds/336Mi)
% 4.46/1.14  % (20685)Running in auto input_syntax mode. Trying TPTP
% 4.46/1.14  % (20713)dis+1010_16550053:1048576_to=lpo:ccuc=small_ones:sil=4000:fde=none:plsq=on:avsql=on:plsqr=34063,1048576:sp=const_min:sos=on:acc=model:plsql=on:nwc=10.3787:avsq=on:i=349:sd=1:avsqr=1084175,1048576:nm=0:amm=off:ss=axioms:bce=on:rawr=on:sup=off:bd=off_0 on theBenchmark for (2993ds/349Mi)
% 4.46/1.15  % (20713)Refutation not found, incomplete strategy% (20713)------------------------------
% 4.46/1.15  % (20713)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.46/1.15  % (20713)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.46/1.15  % (20713)Termination reason: Refutation not found, incomplete strategy
% 4.46/1.15  
% 4.46/1.15  % (20713)Memory used [KB]: 2222
% 4.46/1.15  % (20713)Time elapsed: 0.010 s
% 4.46/1.15  % (20713)Instructions burned: 30 (million)
% 4.46/1.15  % (20713)------------------------------
% 4.46/1.15  % (20713)------------------------------
% 5.42/1.19  % (20685)Running in auto input_syntax mode. Trying TPTP
% 5.42/1.19  % (20718)lrs+2_1:1_sil=2000:sos=all:st=5.0:i=193:bd=off:av=off:ss=axioms:sd=2:sup=off_0 on theBenchmark for (2992ds/193Mi)
% 5.42/1.21  % (20718)Refutation not found, incomplete strategy% (20718)------------------------------
% 5.42/1.21  % (20718)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.42/1.21  % (20718)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.42/1.21  % (20718)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.21  
% 5.42/1.21  % (20718)Memory used [KB]: 3832
% 5.42/1.21  % (20718)Time elapsed: 0.027 s
% 5.42/1.21  % (20718)Instructions burned: 99 (million)
% 5.42/1.21  % (20718)------------------------------
% 5.42/1.21  % (20718)------------------------------
% 5.70/1.22  % (20712)Instruction limit reached!
% 5.70/1.22  % (20712)------------------------------
% 5.70/1.22  % (20712)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.70/1.22  % (20712)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.70/1.22  % (20712)Termination reason: Time limit
% 5.70/1.22  % (20712)Termination phase: Saturation
% 5.70/1.22  
% 5.70/1.22  % (20712)Memory used [KB]: 6579
% 5.70/1.22  % (20712)Time elapsed: 0.100 s
% 5.70/1.22  % (20712)Instructions burned: 339 (million)
% 5.82/1.25  % (20685)Running in auto input_syntax mode. Trying TPTP
% 5.82/1.25  % (20728)lrs+1002_1:1_sil=64000:sos=on:urr=ec_only:flr=on:st=3.0:i=632:sd=1:ep=RS:nm=16:ss=axioms_0 on theBenchmark for (2992ds/632Mi)
% 5.82/1.26  % (20685)Running in auto input_syntax mode. Trying TPTP
% 5.82/1.26  % (20729)lrs+1011_4801913:1048576_sfv=off:sil=2000:plsqc=1:plsq=on:plsqr=98277,1048576:etr=on:sp=const_max:lma=on:erape=on:urr=full:rp=on:nwc=23.4614:lwlo=on:st=2.5:i=440:add=large:bs=unit_only:sd=2:kws=inv_arity_squared:awrs=converge:awrsf=951:nm=17:amm=sco:ss=axioms:er=filter:sgt=50:rawr=on:anc=none_0 on theBenchmark for (2992ds/440Mi)
% 5.82/1.26  % (20728)Refutation not found, incomplete strategy% (20728)------------------------------
% 5.82/1.26  % (20728)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.82/1.26  % (20728)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.82/1.26  % (20728)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.26  
% 5.82/1.26  % (20728)Memory used [KB]: 2913
% 5.82/1.26  % (20728)Time elapsed: 0.019 s
% 5.82/1.26  % (20728)Instructions burned: 70 (million)
% 5.82/1.26  % (20728)------------------------------
% 5.82/1.26  % (20728)------------------------------
% 5.82/1.30  % (20685)Running in auto input_syntax mode. Trying TPTP
% 5.82/1.30  % (20738)lrs-1011_4:1_bsr=unit_only:sil=4000:sp=occurrence:lsd=20:newcnf=on:i=730:kws=inv_arity_squared:awrs=converge:rawr=on:rp=on:alpa=false:nwc=3.0_0 on theBenchmark for (2991ds/730Mi)
% 6.56/1.40  % (20729)Instruction limit reached!
% 6.56/1.40  % (20729)------------------------------
% 6.56/1.40  % (20729)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.56/1.40  % (20729)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.56/1.40  % (20729)Termination reason: Time limit
% 6.56/1.40  % (20729)Termination phase: Saturation
% 6.56/1.40  
% 6.56/1.40  % (20729)Memory used [KB]: 7209
% 6.56/1.40  % (20729)Time elapsed: 0.142 s
% 6.56/1.40  % (20729)Instructions burned: 440 (million)
% 6.56/1.43  % (20685)Running in auto input_syntax mode. Trying TPTP
% 6.56/1.43  % (20741)lrs+1002_8:1_sil=16000:plsq=on:sos=on:urr=on:plsql=on:st=1.2:i=228:sd=2:ss=axioms_0 on theBenchmark for (2990ds/228Mi)
% 7.25/1.50  % (20741)Instruction limit reached!
% 7.25/1.50  % (20741)------------------------------
% 7.25/1.50  % (20741)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.25/1.50  % (20741)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.25/1.50  % (20741)Termination reason: Time limit
% 7.25/1.50  % (20741)Termination phase: Saturation
% 7.25/1.50  
% 7.25/1.50  % (20741)Memory used [KB]: 5279
% 7.25/1.50  % (20741)Time elapsed: 0.067 s
% 7.25/1.50  % (20741)Instructions burned: 231 (million)
% 7.56/1.53  % (20685)Running in auto input_syntax mode. Trying TPTP
% 7.56/1.53  % (20785)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=1008:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2989ds/1008Mi)
% 7.66/1.55  % (20738)Instruction limit reached!
% 7.66/1.55  % (20738)------------------------------
% 7.66/1.55  % (20738)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.66/1.55  % (20738)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.66/1.55  % (20738)Termination reason: Time limit
% 7.66/1.55  % (20738)Termination phase: Saturation
% 7.66/1.55  
% 7.66/1.55  % (20738)Memory used [KB]: 8129
% 7.66/1.55  % (20738)Time elapsed: 0.250 s
% 7.66/1.55  % (20738)Instructions burned: 732 (million)
% 7.66/1.58  % (20685)Running in auto input_syntax mode. Trying TPTP
% 7.66/1.58  % (20831)dis-1002_1:64_sil=2000:sos=on:nwc=10.0:i=231:nm=2:ss=axioms:ep=RST:sd=1_0 on theBenchmark for (2988ds/231Mi)
% 7.66/1.59  % (20831)Refutation not found, incomplete strategy% (20831)------------------------------
% 7.66/1.59  % (20831)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.66/1.59  % (20831)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.66/1.59  % (20831)Termination reason: Refutation not found, incomplete strategy
% 7.66/1.59  
% 7.66/1.59  % (20831)Memory used [KB]: 2305
% 7.66/1.59  % (20831)Time elapsed: 0.008 s
% 7.66/1.59  % (20831)Instructions burned: 23 (million)
% 7.66/1.59  % (20831)------------------------------
% 7.66/1.59  % (20831)------------------------------
% 8.36/1.62  % (20685)Running in auto input_syntax mode. Trying TPTP
% 8.36/1.62  % (20861)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=501:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2988ds/501Mi)
% 8.36/1.64  % (20707)Instruction limit reached!
% 8.36/1.64  % (20707)------------------------------
% 8.36/1.64  % (20707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.36/1.64  % (20707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.36/1.64  % (20707)Termination reason: Time limit
% 8.36/1.64  % (20707)Termination phase: Saturation
% 8.36/1.64  
% 8.36/1.64  % (20707)Memory used [KB]: 12586
% 8.36/1.64  % (20707)Time elapsed: 0.634 s
% 8.36/1.64  % (20707)Instructions burned: 2185 (million)
% 8.36/1.65  % (20861)Refutation not found, incomplete strategy% (20861)------------------------------
% 8.36/1.65  % (20861)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.36/1.65  % (20861)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.36/1.65  % (20861)Termination reason: Refutation not found, incomplete strategy
% 8.36/1.65  
% 8.36/1.65  % (20861)Memory used [KB]: 3906
% 8.36/1.65  % (20861)Time elapsed: 0.031 s
% 8.36/1.65  % (20861)Instructions burned: 103 (million)
% 8.36/1.65  % (20861)------------------------------
% 8.36/1.65  % (20861)------------------------------
% 8.36/1.67  % (20685)Running in auto input_syntax mode. Trying TPTP
% 8.36/1.67  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 8.36/1.67  % (20875)dis-1011_100103:1048576_bsr=on:drc=encompass:sil=2000:tgt=full:bsd=on:ile=on:sp=const_min:rnwc=on:nwc=23.5528:s2agt=30:avsqc=2:avsq=on:s2a=on:i=411:s2at=6:avsqr=111405,262144:bsdmm=3:nm=40:uhcvi=on:afr=on:ss=axioms:sgt=5:rawr=on:add=large_0 on theBenchmark for (2988ds/411Mi)
% 8.36/1.68  % (20685)Running in auto input_syntax mode. Trying TPTP
% 8.36/1.68  % (20876)dis+1011_3:8_bsr=unit_only:slsqr=1,16:sil=2000:plsq=on:plsqr=296,127:sp=reverse_frequency:lsd=5:nwc=10.0:slsqc=3:slsq=on:st=3.0:i=412:s2at=4.5:sd=4:slsql=off:nm=16:ins=5:ss=axioms:sgt=20:rawr=on:urr=ec_only:to=lpo_0 on theBenchmark for (2987ds/412Mi)
% 9.55/1.79  % (20785)Instruction limit reached!
% 9.55/1.79  % (20785)------------------------------
% 9.55/1.79  % (20785)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.55/1.79  % (20785)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.55/1.79  % (20785)Termination reason: Time limit
% 9.55/1.79  % (20785)Termination phase: Saturation
% 9.55/1.79  
% 9.55/1.79  % (20785)Memory used [KB]: 9202
% 9.55/1.79  % (20785)Time elapsed: 0.256 s
% 9.55/1.79  % (20785)Instructions burned: 1010 (million)
% 9.71/1.81  % (20875)Instruction limit reached!
% 9.71/1.81  % (20875)------------------------------
% 9.71/1.81  % (20875)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.71/1.81  % (20875)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.71/1.81  % (20875)Termination reason: Time limit
% 9.71/1.81  % (20875)Termination phase: Saturation
% 9.71/1.81  
% 9.71/1.81  % (20875)Memory used [KB]: 5382
% 9.71/1.81  % (20875)Time elapsed: 0.139 s
% 9.71/1.81  % (20875)Instructions burned: 413 (million)
% 9.71/1.81  % (20876)Instruction limit reached!
% 9.71/1.81  % (20876)------------------------------
% 9.71/1.81  % (20876)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.71/1.81  % (20876)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.71/1.81  % (20876)Termination reason: Time limit
% 9.71/1.81  % (20876)Termination phase: Saturation
% 9.71/1.81  
% 9.71/1.81  % (20876)Memory used [KB]: 6722
% 9.71/1.81  % (20876)Time elapsed: 0.129 s
% 9.71/1.81  % (20876)Instructions burned: 414 (million)
% 9.88/1.82  % (20685)Running in auto input_syntax mode. Trying TPTP
% 9.88/1.82  % (20895)lrs+1002_1:16_sil=4000:sos=on:sac=on:i=886:bs=unit_only:gsp=on:ss=included:sgt=16:fsr=off:sfv=off:bd=off_0 on theBenchmark for (2986ds/886Mi)
% 9.91/1.84  % (20685)Running in auto input_syntax mode. Trying TPTP
% 9.91/1.84  % (20907)dis+1011_3:1_sil=2000:lsd=10:sac=on:s2a=on:i=258:fsr=off:fd=off:ss=axioms:sd=2:sgt=16_0 on theBenchmark for (2986ds/258Mi)
% 9.91/1.84  % (20685)Running in auto input_syntax mode. Trying TPTP
% 9.91/1.84  % (20908)lrs+21_1:1024_sil=2000:sp=frequency:spb=non_intro:st=3.5:i=420:sd=3:kws=precedence:bd=off:av=off:ss=axioms:sup=off:lcm=predicate_0 on theBenchmark for (2986ds/420Mi)
% 10.23/1.92  % (20907)Instruction limit reached!
% 10.23/1.92  % (20907)------------------------------
% 10.23/1.92  % (20907)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.23/1.92  % (20907)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.23/1.92  % (20907)Termination reason: Time limit
% 10.23/1.92  % (20907)Termination phase: Saturation
% 10.23/1.92  
% 10.23/1.92  % (20907)Memory used [KB]: 5229
% 10.23/1.92  % (20907)Time elapsed: 0.086 s
% 10.23/1.92  % (20907)Instructions burned: 258 (million)
% 10.23/1.96  % (20685)Running in auto input_syntax mode. Trying TPTP
% 10.23/1.96  % (20919)lrs-1011_1:1_sil=16000:urr=ec_only:flr=on:i=262:ep=RST:ss=axioms:sd=1:lsd=50_0 on theBenchmark for (2985ds/262Mi)
% 10.23/1.96  % (20908)Instruction limit reached!
% 10.23/1.96  % (20908)------------------------------
% 10.23/1.96  % (20908)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.23/1.96  % (20908)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.23/1.96  % (20908)Termination reason: Time limit
% 10.23/1.96  % (20908)Termination phase: Saturation
% 10.23/1.96  
% 10.23/1.96  % (20908)Memory used [KB]: 6184
% 10.23/1.96  % (20908)Time elapsed: 0.119 s
% 10.23/1.96  % (20908)Instructions burned: 423 (million)
% 10.79/1.99  % (20685)Running in auto input_syntax mode. Trying TPTP
% 10.79/1.99  % (20920)lrs+1002_1:1_to=lpo:sil=4000:sos=on:i=425:sd=1:ss=included_0 on theBenchmark for (2984ds/425Mi)
% 10.79/2.04  % (20919)Instruction limit reached!
% 10.79/2.04  % (20919)------------------------------
% 10.79/2.04  % (20919)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.79/2.04  % (20919)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.79/2.04  % (20919)Termination reason: Time limit
% 10.79/2.04  % (20919)Termination phase: Saturation
% 10.79/2.04  
% 10.79/2.04  % (20919)Memory used [KB]: 3488
% 10.79/2.04  % (20919)Time elapsed: 0.082 s
% 10.79/2.04  % (20919)Instructions burned: 263 (million)
% 10.79/2.06  % (20920)Refutation not found, incomplete strategy% (20920)------------------------------
% 10.79/2.06  % (20920)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.79/2.06  % (20920)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.79/2.06  % (20920)Termination reason: Refutation not found, incomplete strategy
% 10.79/2.06  
% 10.79/2.06  % (20920)Memory used [KB]: 6078
% 10.79/2.06  % (20920)Time elapsed: 0.066 s
% 10.79/2.06  % (20920)Instructions burned: 233 (million)
% 10.79/2.06  % (20920)------------------------------
% 10.79/2.06  % (20920)------------------------------
% 11.37/2.08  % (20685)Running in auto input_syntax mode. Trying TPTP
% 11.37/2.08  % (20921)lrs+1011_1:64_slsqr=117407,1048576:drc=encompass:sil=2000:plsqc=1:plsq=on:plsqr=32300765,1048576:urr=ec_only:rp=on:slsqc=3:slsq=on:i=619:slsql=off:bd=off:rawr=on:fsr=off:br=off:s2at=2.0_0 on theBenchmark for (2984ds/619Mi)
% 11.47/2.09  % (20895)Instruction limit reached!
% 11.47/2.09  % (20895)------------------------------
% 11.47/2.09  % (20895)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.47/2.09  % (20895)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.47/2.09  % (20895)Termination reason: Time limit
% 11.47/2.09  % (20895)Termination phase: Saturation
% 11.47/2.09  
% 11.47/2.09  % (20895)Memory used [KB]: 9369
% 11.47/2.09  % (20895)Time elapsed: 0.273 s
% 11.47/2.09  % (20895)Instructions burned: 886 (million)
% 11.47/2.09  % (20685)Running in auto input_syntax mode. Trying TPTP
% 11.47/2.09  % (20922)lrs+2_1:1_sil=2000:tgt=ground:sos=on:i=274:sd=1:ss=included:to=lpo:plsq=on:plsqr=32,1_0 on theBenchmark for (2983ds/274Mi)
% 11.88/2.12  % (20685)Running in auto input_syntax mode. Trying TPTP
% 11.88/2.12  % (20923)lrs-1011_1:1_bsr=unit_only:sil=2000:sp=occurrence:sac=on:i=280:sd=3:ss=axioms:sgt=30:newcnf=on_0 on theBenchmark for (2983ds/280Mi)
% 11.91/2.15  % (20922)Refutation not found, incomplete strategy% (20922)------------------------------
% 11.91/2.15  % (20922)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.91/2.15  % (20922)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.91/2.15  % (20922)Termination reason: Refutation not found, incomplete strategy
% 11.91/2.15  
% 11.91/2.15  % (20922)Memory used [KB]: 5955
% 11.91/2.15  % (20922)Time elapsed: 0.063 s
% 11.91/2.15  % (20922)Instructions burned: 218 (million)
% 11.91/2.15  % (20922)------------------------------
% 11.91/2.15  % (20922)------------------------------
% 11.91/2.18  % (20685)Running in auto input_syntax mode. Trying TPTP
% 11.91/2.18  % (20924)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=280:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2982ds/280Mi)
% 12.66/2.21  % (20923)Instruction limit reached!
% 12.66/2.21  % (20923)------------------------------
% 12.66/2.21  % (20923)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.66/2.21  % (20923)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.66/2.21  % (20923)Termination reason: Time limit
% 12.66/2.21  % (20923)Termination phase: Saturation
% 12.66/2.21  
% 12.66/2.21  % (20923)Memory used [KB]: 5244
% 12.66/2.21  % (20923)Time elapsed: 0.092 s
% 12.66/2.21  % (20923)Instructions burned: 282 (million)
% 12.66/2.25  % (20685)Running in auto input_syntax mode. Trying TPTP
% 12.66/2.25  % (20925)dis+1011_1:1_sil=2000:urr=ec_only:br=off:st=1.5:i=497:fsr=off:fsd=on:ss=axioms:slsq=on:slsql=off:slsqr=1,16:sup=off_0 on theBenchmark for (2982ds/497Mi)
% 12.66/2.27  % (20924)Instruction limit reached!
% 12.66/2.27  % (20924)------------------------------
% 12.66/2.27  % (20924)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.66/2.27  % (20924)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.66/2.27  % (20924)Termination reason: Time limit
% 12.66/2.27  % (20924)Termination phase: Saturation
% 12.66/2.27  
% 12.66/2.27  % (20924)Memory used [KB]: 4105
% 12.66/2.27  % (20924)Time elapsed: 0.087 s
% 12.66/2.27  % (20924)Instructions burned: 283 (million)
% 13.11/2.30  % (20685)Running in auto input_syntax mode. Trying TPTP
% 13.11/2.30  % (20926)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=321:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2981ds/321Mi)
% 13.11/2.32  % (20921)Instruction limit reached!
% 13.11/2.32  % (20921)------------------------------
% 13.11/2.32  % (20921)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.11/2.32  % (20921)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.11/2.32  % (20921)Termination reason: Time limit
% 13.11/2.32  % (20921)Termination phase: Saturation
% 13.11/2.32  
% 13.11/2.32  % (20921)Memory used [KB]: 6863
% 13.11/2.32  % (20921)Time elapsed: 0.246 s
% 13.11/2.32  % (20921)Instructions burned: 620 (million)
% 13.11/2.34  % (20926)Refutation not found, incomplete strategy% (20926)------------------------------
% 13.11/2.34  % (20926)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.11/2.34  % (20926)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.11/2.34  % (20926)Termination reason: Refutation not found, incomplete strategy
% 13.11/2.34  
% 13.11/2.34  % (20926)Memory used [KB]: 4333
% 13.11/2.34  % (20926)Time elapsed: 0.039 s
% 13.11/2.34  % (20926)Instructions burned: 142 (million)
% 13.11/2.34  % (20926)------------------------------
% 13.11/2.34  % (20926)------------------------------
% 13.11/2.35  % (20925)Refutation not found, incomplete strategy% (20925)------------------------------
% 13.11/2.35  % (20925)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.11/2.35  % (20925)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.11/2.35  % (20925)Termination reason: Refutation not found, incomplete strategy
% 13.11/2.35  
% 13.11/2.35  % (20925)Memory used [KB]: 4615
% 13.11/2.35  % (20925)Time elapsed: 0.109 s
% 13.11/2.35  % (20925)Instructions burned: 340 (million)
% 13.11/2.35  % (20925)------------------------------
% 13.11/2.35  % (20925)------------------------------
% 13.11/2.37  % (20685)Running in auto input_syntax mode. Trying TPTP
% 13.11/2.37  % (20927)lrs-10_1:1_to=lpo:drc=off:sil=8000:sos=on:i=550:ss=axioms:sd=1_0 on theBenchmark for (2981ds/550Mi)
% 13.11/2.37  % (20685)Running in auto input_syntax mode. Trying TPTP
% 13.11/2.37  % (20928)lrs-1002_3:2_sil=2000:sos=on:fd=off:nwc=10.0:flr=on:i=554:nm=16:fsr=off:sup=off:ss=axioms:fs=off:bd=off:fde=none:erd=off_0 on theBenchmark for (2981ds/554Mi)
% 13.11/2.38  % (20927)Refutation not found, incomplete strategy% (20927)------------------------------
% 13.11/2.38  % (20927)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.11/2.38  % (20927)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.11/2.38  % (20927)Termination reason: Refutation not found, incomplete strategy
% 13.11/2.38  
% 13.11/2.38  % (20927)Memory used [KB]: 2395
% 13.11/2.38  % (20927)Time elapsed: 0.012 s
% 13.11/2.38  % (20927)Instructions burned: 31 (million)
% 13.11/2.38  % (20927)------------------------------
% 13.11/2.38  % (20927)------------------------------
% 13.83/2.39  % (20928)Refutation not found, incomplete strategy% (20928)------------------------------
% 13.83/2.39  % (20928)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.83/2.39  % (20928)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.83/2.39  % (20928)Termination reason: Refutation not found, incomplete strategy
% 13.83/2.39  
% 13.83/2.39  % (20928)Memory used [KB]: 3365
% 13.83/2.39  % (20928)Time elapsed: 0.020 s
% 13.83/2.39  % (20928)Instructions burned: 61 (million)
% 13.83/2.39  % (20928)------------------------------
% 13.83/2.39  % (20928)------------------------------
% 13.83/2.40  % (20685)Running in auto input_syntax mode. Trying TPTP
% 13.83/2.40  % (20929)lrs+2_5:1_to=lpo:sil=2000:plsqc=1:plsq=on:plsqr=32,1:sp=occurrence:sos=all:lma=on:i=337:gsp=on:ss=axioms:rawr=on:sup=off:s2a=on:s2at=3.0_0 on theBenchmark for (2980ds/337Mi)
% 13.98/2.43  % (20685)Running in auto input_syntax mode. Trying TPTP
% 13.98/2.43  % (20931)dis+1002_1:28_sil=64000:sos=on:s2agt=8:sac=on:i=3780:s2a=on:s2at=2.5:ep=RSTC_0 on theBenchmark for (2980ds/3780Mi)
% 13.98/2.44  % (20685)Running in auto input_syntax mode. Trying TPTP
% 13.98/2.44  % (20930)lrs+11_1:8_sil=2000:fde=unused:sos=all:spb=goal_then_units:lsd=100:i=341:kws=precedence:aac=none:sfv=off_0 on theBenchmark for (2980ds/341Mi)
% 13.98/2.47  % (20929)Refutation not found, incomplete strategy% (20929)------------------------------
% 13.98/2.47  % (20929)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.98/2.47  % (20929)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.98/2.47  % (20929)Termination reason: Refutation not found, incomplete strategy
% 13.98/2.47  
% 13.98/2.47  % (20929)Memory used [KB]: 4249
% 13.98/2.47  % (20929)Time elapsed: 0.093 s
% 13.98/2.47  % (20929)Instructions burned: 143 (million)
% 13.98/2.47  % (20929)------------------------------
% 13.98/2.47  % (20929)------------------------------
% 14.45/2.51  % (20685)Running in auto input_syntax mode. Trying TPTP
% 14.45/2.51  % (20932)dis+1011_1:4_sil=8000:tgt=full:st=1.5:s2a=on:i=2134:s2at=1.2:sd=5:ss=axioms:ep=RS:av=off_0 on theBenchmark for (2979ds/2134Mi)
% 14.45/2.55  % (20930)Instruction limit reached!
% 14.45/2.55  % (20930)------------------------------
% 14.45/2.55  % (20930)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.45/2.55  % (20930)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.45/2.55  % (20930)Termination reason: Time limit
% 14.45/2.55  % (20930)Termination phase: Saturation
% 14.45/2.55  
% 14.45/2.55  % (20930)Memory used [KB]: 7769
% 14.45/2.55  % (20930)Time elapsed: 0.133 s
% 14.45/2.55  % (20930)Instructions burned: 343 (million)
% 14.45/2.58  % (20685)Running in auto input_syntax mode. Trying TPTP
% 14.45/2.58  % (20933)lrs-1002_1:1_anc=all:sil=64000:tgt=full:sos=on:st=1.5:i=371:sd=2:kws=inv_frequency:aac=none:fsr=off:ss=axioms:abs=on:fs=off_0 on theBenchmark for (2979ds/371Mi)
% 14.96/2.62  % (20933)Refutation not found, incomplete strategy% (20933)------------------------------
% 14.96/2.62  % (20933)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.96/2.62  % (20933)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.96/2.62  % (20933)Termination reason: Refutation not found, incomplete strategy
% 14.96/2.62  
% 14.96/2.62  % (20933)Memory used [KB]: 4076
% 14.96/2.62  % (20933)Time elapsed: 0.041 s
% 14.96/2.62  % (20933)Instructions burned: 127 (million)
% 14.96/2.62  % (20933)------------------------------
% 14.96/2.62  % (20933)------------------------------
% 14.96/2.68  % (20685)Running in auto input_syntax mode. Trying TPTP
% 14.96/2.68  % (20934)dis+33_1:1_to=lpo:sil=16000:plsq=on:nwc=3.0:s2agt=16:s2a=on:i=3658:s2at=5.5:nm=2:av=off:fsr=off:s2pl=no:ep=RS:erd=off_0 on theBenchmark for (2978ds/3658Mi)
% 19.55/3.20  % (20932)Instruction limit reached!
% 19.55/3.20  % (20932)------------------------------
% 19.55/3.20  % (20932)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.55/3.20  % (20932)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.55/3.20  % (20932)Termination reason: Time limit
% 19.55/3.20  % (20932)Termination phase: Saturation
% 19.55/3.20  
% 19.55/3.20  % (20932)Memory used [KB]: 11920
% 19.55/3.20  % (20932)Time elapsed: 0.719 s
% 19.55/3.20  % (20932)Instructions burned: 2135 (million)
% 19.55/3.24  % (20685)Running in auto input_syntax mode. Trying TPTP
% 19.55/3.24  % (20935)dis+1010_2:13_bsr=on:drc=off:sil=32000:fde=none:sos=on:nwc=10.0:sac=on:newcnf=on:s2a=on:i=663:s2at=1.5:awrs=decay:awrsf=8:nm=16:rawr=on:rnwc=on:kws=arity_squared:amm=sco:alpa=random_0 on theBenchmark for (2972ds/663Mi)
% 20.68/3.39  % (20935)First to succeed.
% 20.68/3.40  % (20935)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20685"
% 20.68/3.40  % (20685)Running in auto input_syntax mode. Trying TPTP
% 20.68/3.40  % (20935)Refutation found. Thanks to Tanya!
% 20.68/3.40  % SZS status Theorem for theBenchmark
% 20.68/3.40  % SZS output start Proof for theBenchmark
% See solution above
% 20.68/3.40  % (20935)------------------------------
% 20.68/3.40  % (20935)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.68/3.40  % (20935)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.68/3.40  % (20935)Termination reason: Refutation
% 20.68/3.40  
% 20.68/3.40  % (20935)Memory used [KB]: 7458
% 20.68/3.40  % (20935)Time elapsed: 0.157 s
% 20.68/3.40  % (20935)Instructions burned: 506 (million)
% 20.68/3.40  % (20935)------------------------------
% 20.68/3.40  % (20935)------------------------------
% 20.68/3.40  % (20685)Success in time 2.962 s
%------------------------------------------------------------------------------