TSTP Solution File: SWW222+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW222+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n023.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 18:31:38 EDT 2024

% Result   : Theorem 21.21s 3.55s
% Output   : Refutation 21.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  133 (  61 unt;   0 def)
%            Number of atoms       :  262 (  73 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  223 (  94   ~;  93   |;   9   &)
%                                         (  12 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;   9 con; 0-3 aty)
%            Number of variables   :   96 (  96   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7568,plain,
    $false,
    inference(avatar_sat_refutation,[],[f6162,f6662,f6674,f6688,f7567]) ).

fof(f7567,plain,
    ( ~ spl50_1
    | spl50_2
    | ~ spl50_21 ),
    inference(avatar_contradiction_clause,[],[f7566]) ).

fof(f7566,plain,
    ( $false
    | ~ spl50_1
    | spl50_2
    | ~ spl50_21 ),
    inference(subsumption_resolution,[],[f7565,f7234]) ).

fof(f7234,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | ~ spl50_1
    | spl50_2 ),
    inference(backward_demodulation,[],[f6013,f7231]) ).

fof(f7231,plain,
    ( v_wa____ = v_z____
    | spl50_2 ),
    inference(subsumption_resolution,[],[f7223,f3782]) ).

fof(f3782,plain,
    class_Groups_Oab__group__add(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1177]) ).

fof(f1177,axiom,
    class_Groups_Oab__group__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7223,plain,
    ( v_wa____ = v_z____
    | ~ class_Groups_Oab__group__add(tc_Complex_Ocomplex)
    | spl50_2 ),
    inference(trivial_inequality_removal,[],[f7184]) ).

fof(f7184,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | v_wa____ = v_z____
    | ~ class_Groups_Oab__group__add(tc_Complex_Ocomplex)
    | spl50_2 ),
    inference(superposition,[],[f4931,f7158]) ).

fof(f7158,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | spl50_2 ),
    inference(subsumption_resolution,[],[f7155,f3702]) ).

fof(f3702,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1162]) ).

fof(f1162,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7155,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
    | spl50_2 ),
    inference(resolution,[],[f6018,f4322]) ).

fof(f4322,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
      | c_Groups_Ozero__class_Ozero(X1) = X0
      | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(cnf_transformation,[],[f3293]) ).

fof(f3293,plain,
    ! [X0,X1] :
      ( ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
          | c_Groups_Ozero__class_Ozero(X1) = X0 )
        & ( c_Groups_Ozero__class_Ozero(X1) != X0
          | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ) )
      | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(nnf_transformation,[],[f2388]) ).

fof(f2388,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
      <=> c_Groups_Ozero__class_Ozero(X1) != X0 )
      | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(ennf_transformation,[],[f1565]) ).

fof(f1565,plain,
    ! [X0,X1] :
      ( class_RealVector_Oreal__normed__vector(X1)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
      <=> c_Groups_Ozero__class_Ozero(X1) != X0 ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X14,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X14))
      <=> c_Groups_Ozero__class_Ozero(X6) != X14 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6018,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))
    | spl50_2 ),
    inference(avatar_component_clause,[],[f6016]) ).

fof(f6016,plain,
    ( spl50_2
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).

fof(f4931,plain,
    ! [X2,X0,X1] :
      ( c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ominus__class_Ominus(X2,X1,X0)
      | X0 = X1
      | ~ class_Groups_Oab__group__add(X2) ),
    inference(cnf_transformation,[],[f3507]) ).

fof(f3507,plain,
    ! [X0,X1,X2] :
      ( ( ( X0 = X1
          | c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ominus__class_Ominus(X2,X1,X0) )
        & ( c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0)
          | X0 != X1 ) )
      | ~ class_Groups_Oab__group__add(X2) ),
    inference(nnf_transformation,[],[f2762]) ).

fof(f2762,plain,
    ! [X0,X1,X2] :
      ( ( X0 = X1
      <=> c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) )
      | ~ class_Groups_Oab__group__add(X2) ),
    inference(ennf_transformation,[],[f1944]) ).

fof(f1944,plain,
    ! [X0,X1,X2] :
      ( class_Groups_Oab__group__add(X2)
     => ( X0 = X1
      <=> c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) ) ),
    inference(rectify,[],[f121]) ).

fof(f121,axiom,
    ! [X10,X11,X6] :
      ( class_Groups_Oab__group__add(X6)
     => ( X10 = X11
      <=> c_Groups_Ozero__class_Ozero(X6) = c_Groups_Ominus__class_Ominus(X6,X11,X10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6013,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | ~ spl50_1 ),
    inference(avatar_component_clause,[],[f6012]) ).

fof(f6012,plain,
    ( spl50_1
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).

fof(f7565,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | spl50_2
    | ~ spl50_21 ),
    inference(forward_demodulation,[],[f7564,f6161]) ).

fof(f6161,plain,
    ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
    | ~ spl50_21 ),
    inference(avatar_component_clause,[],[f6159]) ).

fof(f6159,plain,
    ( spl50_21
  <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl50_21])]) ).

fof(f7564,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | spl50_2 ),
    inference(subsumption_resolution,[],[f7539,f3791]) ).

fof(f3791,plain,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1183]) ).

fof(f1183,axiom,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7539,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | ~ class_Groups_Ogroup__add(tc_Complex_Ocomplex)
    | spl50_2 ),
    inference(superposition,[],[f7233,f4405]) ).

fof(f4405,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0)
      | ~ class_Groups_Ogroup__add(X1) ),
    inference(cnf_transformation,[],[f2444]) ).

fof(f2444,plain,
    ! [X0,X1] :
      ( c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0)
      | ~ class_Groups_Ogroup__add(X1) ),
    inference(ennf_transformation,[],[f1617]) ).

fof(f1617,plain,
    ! [X0,X1] :
      ( class_Groups_Ogroup__add(X1)
     => c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0) ),
    inference(rectify,[],[f120]) ).

fof(f120,axiom,
    ! [X7,X6] :
      ( class_Groups_Ogroup__add(X6)
     => c_Groups_Ozero__class_Ozero(X6) = c_Groups_Ominus__class_Ominus(X6,X7,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7233,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | spl50_2 ),
    inference(backward_demodulation,[],[f5987,f7231]) ).

fof(f5987,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(forward_demodulation,[],[f5986,f3986]) ).

fof(f3986,plain,
    ! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
    inference(cnf_transformation,[],[f1294]) ).

fof(f1294,plain,
    ! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X21] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X21) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5986,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(forward_demodulation,[],[f5985,f3977]) ).

fof(f3977,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
    inference(cnf_transformation,[],[f1285]) ).

fof(f1285,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
    inference(rectify,[],[f459]) ).

fof(f459,axiom,
    ! [X15] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,c_Int_OPls) = X15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5985,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))),
    inference(forward_demodulation,[],[f5984,f3977]) ).

fof(f5984,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(forward_demodulation,[],[f5983,f3977]) ).

fof(f5983,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))))),
    inference(forward_demodulation,[],[f5982,f3978]) ).

fof(f3978,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
    inference(cnf_transformation,[],[f1286]) ).

fof(f1286,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
    inference(rectify,[],[f458]) ).

fof(f458,axiom,
    ! [X15] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X15) = X15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5982,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))))),
    inference(forward_demodulation,[],[f5981,f4745]) ).

fof(f4745,plain,
    ! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)),
    inference(cnf_transformation,[],[f1822]) ).

fof(f1822,plain,
    ! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)),
    inference(rectify,[],[f438]) ).

fof(f438,axiom,
    ! [X32,X22,X8] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X8,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,X32)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X22,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X8,X32)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5981,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))))),
    inference(forward_demodulation,[],[f5980,f4746]) ).

fof(f4746,plain,
    ! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0),
    inference(cnf_transformation,[],[f1823]) ).

fof(f1823,plain,
    ! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0),
    inference(rectify,[],[f437]) ).

fof(f437,axiom,
    ! [X56,X57,X58] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X58,X57),X56) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X58,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X57,X56)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5980,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))))),
    inference(forward_demodulation,[],[f5488,f4745]) ).

fof(f5488,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(definition_unfolding,[],[f3680,f3985,f4022]) ).

fof(f4022,plain,
    ! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
    inference(cnf_transformation,[],[f1330]) ).

fof(f1330,plain,
    ! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
    inference(rectify,[],[f454]) ).

fof(f454,axiom,
    ! [X15] : c_Int_OBit1(X15) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X15),X15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3985,plain,
    ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
    inference(cnf_transformation,[],[f1293]) ).

fof(f1293,plain,
    ! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
    inference(rectify,[],[f460]) ).

fof(f460,axiom,
    ! [X15] : c_Int_OBit0(X15) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,X15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3680,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(cnf_transformation,[],[f1253]) ).

fof(f1253,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(flattening,[],[f1252]) ).

fof(f1252,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(negated_conjecture,[],[f1251]) ).

fof(f1251,conjecture,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6688,plain,
    ~ spl50_20,
    inference(avatar_contradiction_clause,[],[f6687]) ).

fof(f6687,plain,
    ( $false
    | ~ spl50_20 ),
    inference(subsumption_resolution,[],[f6686,f3702]) ).

fof(f6686,plain,
    ( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
    | ~ spl50_20 ),
    inference(subsumption_resolution,[],[f6678,f5842]) ).

fof(f5842,plain,
    ! [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
    inference(equality_resolution,[],[f4596]) ).

fof(f4596,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f3389]) ).

fof(f3389,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
      & ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(flattening,[],[f3388]) ).

fof(f3388,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
      & ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(nnf_transformation,[],[f1760]) ).

fof(f1760,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
    <=> ( X0 != X1
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(rectify,[],[f471]) ).

fof(f471,axiom,
    ! [X23,X14] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14,X23)
    <=> ( X14 != X23
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14,X23) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6678,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
    | ~ spl50_20 ),
    inference(superposition,[],[f6157,f4049]) ).

fof(f4049,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0))
      | ~ class_RealVector_Oreal__normed__vector(X0) ),
    inference(cnf_transformation,[],[f2252]) ).

fof(f2252,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0))
      | ~ class_RealVector_Oreal__normed__vector(X0) ),
    inference(ennf_transformation,[],[f1351]) ).

fof(f1351,plain,
    ! [X0] :
      ( class_RealVector_Oreal__normed__vector(X0)
     => c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ozero__class_Ozero(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6157,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ spl50_20 ),
    inference(avatar_component_clause,[],[f6155]) ).

fof(f6155,plain,
    ( spl50_20
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl50_20])]) ).

fof(f6674,plain,
    ~ spl50_2,
    inference(avatar_split_clause,[],[f6673,f6016]) ).

fof(f6673,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))),
    inference(subsumption_resolution,[],[f6672,f5987]) ).

fof(f6672,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(forward_demodulation,[],[f6671,f3986]) ).

fof(f6671,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(forward_demodulation,[],[f6670,f3977]) ).

fof(f6670,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(forward_demodulation,[],[f6669,f3977]) ).

fof(f6669,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(forward_demodulation,[],[f6668,f3977]) ).

fof(f6668,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(forward_demodulation,[],[f6667,f3978]) ).

fof(f6667,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(forward_demodulation,[],[f6666,f4745]) ).

fof(f6666,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(forward_demodulation,[],[f6665,f4746]) ).

fof(f6665,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(forward_demodulation,[],[f6664,f4745]) ).

fof(f6664,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(subsumption_resolution,[],[f5517,f3922]) ).

fof(f3922,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5517,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(definition_unfolding,[],[f3943,f3985,f4022]) ).

fof(f3943,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(cnf_transformation,[],[f2244]) ).

fof(f2244,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(flattening,[],[f2243]) ).

fof(f2243,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),v_d____)
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) )
   => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6662,plain,
    spl50_1,
    inference(avatar_split_clause,[],[f6661,f6012]) ).

fof(f6661,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(forward_demodulation,[],[f6660,f3986]) ).

fof(f6660,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
    inference(forward_demodulation,[],[f6659,f3977]) ).

fof(f6659,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))),
    inference(forward_demodulation,[],[f6658,f3977]) ).

fof(f6658,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(forward_demodulation,[],[f6657,f3977]) ).

fof(f6657,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))))),
    inference(forward_demodulation,[],[f6656,f3978]) ).

fof(f6656,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))))),
    inference(forward_demodulation,[],[f6655,f4745]) ).

fof(f6655,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls)))))),
    inference(forward_demodulation,[],[f6654,f4746]) ).

fof(f6654,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Int_OPls))))),
    inference(forward_demodulation,[],[f5515,f4745]) ).

fof(f5515,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
    inference(definition_unfolding,[],[f3938,f3985,f4022]) ).

fof(f3938,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6162,plain,
    ( spl50_20
    | spl50_21
    | spl50_2 ),
    inference(avatar_split_clause,[],[f6153,f6016,f6159,f6155]) ).

fof(f6153,plain,
    ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | spl50_2 ),
    inference(forward_demodulation,[],[f6152,f6147]) ).

fof(f6147,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | spl50_2 ),
    inference(subsumption_resolution,[],[f6144,f3702]) ).

fof(f6144,plain,
    ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
    | spl50_2 ),
    inference(resolution,[],[f6018,f4322]) ).

fof(f6152,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | spl50_2 ),
    inference(forward_demodulation,[],[f6151,f6147]) ).

fof(f6151,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | spl50_2 ),
    inference(subsumption_resolution,[],[f6145,f3727]) ).

fof(f3727,plain,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1126]) ).

fof(f1126,axiom,
    class_Rings_Olinordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6145,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_Rings_Olinordered__idom(tc_RealDef_Oreal)
    | spl50_2 ),
    inference(resolution,[],[f6018,f4886]) ).

fof(f4886,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X2,X1,X0)
      | c_Orderings_Oord__class_Oless(X2,X0,X1)
      | X0 = X1
      | ~ class_Rings_Olinordered__idom(X2) ),
    inference(cnf_transformation,[],[f2711]) ).

fof(f2711,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless(X2,X1,X0)
      | X0 = X1
      | ~ class_Rings_Olinordered__idom(X2) ),
    inference(flattening,[],[f2710]) ).

fof(f2710,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless(X2,X1,X0)
      | X0 = X1
      | ~ class_Rings_Olinordered__idom(X2) ),
    inference(ennf_transformation,[],[f1911]) ).

fof(f1911,plain,
    ! [X0,X1,X2] :
      ( class_Rings_Olinordered__idom(X2)
     => ( X0 != X1
       => ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
         => c_Orderings_Oord__class_Oless(X2,X0,X1) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X22,X8,X6] :
      ( class_Rings_Olinordered__idom(X6)
     => ( X8 != X22
       => ( ~ c_Orderings_Oord__class_Oless(X6,X8,X22)
         => c_Orderings_Oord__class_Oless(X6,X22,X8) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : SWW222+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.14  % Command    : run_vampire %s %d THM
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Jun 19 04:48:24 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  Running first-order theorem proving
% 0.14/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.49  % (4453)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49  % (4460)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)
% 0.23/0.49  % (4453)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49  % (4458)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.23/0.49  % (4453)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49  % (4454)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.23/0.49  % (4453)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49  % (4457)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.23/0.49  % (4453)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49  % (4455)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)
% 0.23/0.49  % (4453)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.49  % (4459)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.23/0.50  % (4453)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50  % (4456)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)
% 1.31/0.63  % (4458)Instruction limit reached!
% 1.31/0.63  % (4458)------------------------------
% 1.31/0.63  % (4458)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.31/0.63  % (4458)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.31/0.63  % (4458)Termination reason: Time limit
% 1.31/0.63  % (4458)Termination phase: Saturation
% 1.31/0.63  
% 1.31/0.63  % (4458)Memory used [KB]: 3658
% 1.31/0.63  % (4458)Time elapsed: 0.134 s
% 1.31/0.63  % (4458)Instructions burned: 251 (million)
% 1.31/0.63  % (4460)Instruction limit reached!
% 1.31/0.63  % (4460)------------------------------
% 1.31/0.63  % (4460)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.31/0.63  % (4460)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.31/0.63  % (4460)Termination reason: Time limit
% 1.31/0.63  % (4460)Termination phase: Saturation
% 1.31/0.63  
% 1.31/0.63  % (4460)Memory used [KB]: 4952
% 1.31/0.63  % (4460)Time elapsed: 0.135 s
% 1.31/0.63  % (4460)Instructions burned: 283 (million)
% 1.61/0.67  % (4459)Instruction limit reached!
% 1.61/0.67  % (4459)------------------------------
% 1.61/0.67  % (4459)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.61/0.67  % (4459)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.61/0.67  % (4459)Termination reason: Time limit
% 1.61/0.67  % (4459)Termination phase: Saturation
% 1.61/0.67  
% 1.61/0.67  % (4459)Memory used [KB]: 4042
% 1.61/0.67  % (4459)Time elapsed: 0.179 s
% 1.61/0.67  % (4459)Instructions burned: 347 (million)
% 1.61/0.68  % (4453)Running in auto input_syntax mode. Trying TPTP
% 1.61/0.68  % (4462)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.61/0.68  % (4453)Running in auto input_syntax mode. Trying TPTP
% 1.61/0.68  % (4461)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 (2998ds/125Mi)
% 1.90/0.73  % (4453)Running in auto input_syntax mode. Trying TPTP
% 1.90/0.73  % (4463)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 (2997ds/325Mi)
% 1.90/0.75  % (4461)Instruction limit reached!
% 1.90/0.75  % (4461)------------------------------
% 1.90/0.75  % (4461)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.90/0.75  % (4461)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.90/0.75  % (4461)Termination reason: Time limit
% 1.90/0.75  % (4461)Termination phase: Saturation
% 1.90/0.75  
% 1.90/0.75  % (4461)Memory used [KB]: 3542
% 1.90/0.75  % (4461)Time elapsed: 0.066 s
% 1.90/0.75  % (4461)Instructions burned: 126 (million)
% 2.27/0.81  % (4453)Running in auto input_syntax mode. Trying TPTP
% 2.27/0.81  % (4464)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 (2996ds/267Mi)
% 2.66/0.88  % (4462)Instruction limit reached!
% 2.66/0.88  % (4462)------------------------------
% 2.66/0.88  % (4462)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.88  % (4462)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.88  % (4462)Termination reason: Time limit
% 2.66/0.88  % (4462)Termination phase: Saturation
% 2.66/0.88  
% 2.66/0.88  % (4462)Memory used [KB]: 7269
% 2.66/0.88  % (4462)Time elapsed: 0.197 s
% 2.66/0.88  % (4462)Instructions burned: 403 (million)
% 2.66/0.88  % (4463)Instruction limit reached!
% 2.66/0.88  % (4463)------------------------------
% 2.66/0.88  % (4463)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.88  % (4463)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.88  % (4463)Termination reason: Time limit
% 2.66/0.88  % (4463)Termination phase: Saturation
% 2.66/0.88  
% 2.66/0.88  % (4463)Memory used [KB]: 5193
% 2.66/0.88  % (4463)Time elapsed: 0.154 s
% 2.66/0.88  % (4463)Instructions burned: 326 (million)
% 3.28/0.92  % (4464)Instruction limit reached!
% 3.28/0.92  % (4464)------------------------------
% 3.28/0.92  % (4464)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.28/0.92  % (4464)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.28/0.92  % (4464)Termination reason: Time limit
% 3.28/0.92  % (4464)Termination phase: Saturation
% 3.28/0.92  
% 3.28/0.92  % (4464)Memory used [KB]: 4078
% 3.28/0.92  % (4464)Time elapsed: 0.118 s
% 3.28/0.92  % (4464)Instructions burned: 268 (million)
% 3.61/0.94  % (4453)Running in auto input_syntax mode. Trying TPTP
% 3.61/0.94  % (4466)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 (2995ds/200Mi)
% 3.61/0.94  % (4453)Running in auto input_syntax mode. Trying TPTP
% 3.61/0.94  % (4465)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 (2995ds/156Mi)
% 3.61/0.98  % (4453)Running in auto input_syntax mode. Trying TPTP
% 3.61/0.98  % (4467)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 (2995ds/203Mi)
% 3.87/1.01  % (4465)Instruction limit reached!
% 3.87/1.01  % (4465)------------------------------
% 3.87/1.01  % (4465)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.87/1.01  % (4465)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.87/1.01  % (4465)Termination reason: Time limit
% 3.87/1.01  % (4465)Termination phase: Saturation
% 3.87/1.01  
% 3.87/1.01  % (4465)Memory used [KB]: 2868
% 3.87/1.01  % (4465)Time elapsed: 0.074 s
% 3.87/1.01  % (4465)Instructions burned: 158 (million)
% 3.87/1.03  % (4466)Instruction limit reached!
% 3.87/1.03  % (4466)------------------------------
% 3.87/1.03  % (4466)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.87/1.03  % (4466)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.87/1.03  % (4466)Termination reason: Time limit
% 3.87/1.03  % (4466)Termination phase: Saturation
% 3.87/1.03  
% 3.87/1.03  % (4466)Memory used [KB]: 4131
% 3.87/1.03  % (4466)Time elapsed: 0.098 s
% 3.87/1.03  % (4466)Instructions burned: 201 (million)
% 3.87/1.07  % (4453)Running in auto input_syntax mode. Trying TPTP
% 3.87/1.07  % (4468)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 (2994ds/1027Mi)
% 4.66/1.09  % (4467)Instruction limit reached!
% 4.66/1.09  % (4467)------------------------------
% 4.66/1.09  % (4467)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.66/1.09  % (4467)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.66/1.09  % (4467)Termination reason: Time limit
% 4.66/1.09  % (4467)Termination phase: Saturation
% 4.66/1.09  
% 4.66/1.09  % (4467)Memory used [KB]: 3934
% 4.66/1.09  % (4467)Time elapsed: 0.111 s
% 4.66/1.09  % (4467)Instructions burned: 204 (million)
% 4.66/1.09  % (4453)Running in auto input_syntax mode. Trying TPTP
% 4.66/1.09  % (4469)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 (2994ds/316Mi)
% 4.66/1.12  % (4469)Refutation not found, incomplete strategy% (4469)------------------------------
% 4.66/1.12  % (4469)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.66/1.12  % (4469)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.66/1.12  % (4469)Termination reason: Refutation not found, incomplete strategy
% 4.66/1.12  
% 4.66/1.12  % (4469)Memory used [KB]: 2616
% 4.66/1.12  % (4469)Time elapsed: 0.025 s
% 4.66/1.12  % (4469)Instructions burned: 45 (million)
% 4.66/1.12  % (4469)------------------------------
% 4.66/1.12  % (4469)------------------------------
% 4.66/1.15  % (4453)Running in auto input_syntax mode. Trying TPTP
% 4.66/1.15  % (4470)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 (2993ds/426Mi)
% 5.25/1.17  % (4453)Running in auto input_syntax mode. Trying TPTP
% 5.25/1.17  % (4471)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 (2993ds/260Mi)
% 5.54/1.32  % (4471)Instruction limit reached!
% 5.54/1.32  % (4471)------------------------------
% 5.54/1.32  % (4471)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.54/1.32  % (4471)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.54/1.32  % (4471)Termination reason: Time limit
% 5.54/1.32  % (4471)Termination phase: Saturation
% 5.54/1.32  
% 5.54/1.32  % (4471)Memory used [KB]: 3624
% 5.54/1.32  % (4471)Time elapsed: 0.165 s
% 5.54/1.32  % (4471)Instructions burned: 261 (million)
% 6.18/1.34  % (4470)Instruction limit reached!
% 6.18/1.34  % (4470)------------------------------
% 6.18/1.34  % (4470)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.18/1.34  % (4470)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.18/1.34  % (4470)Termination reason: Time limit
% 6.18/1.34  % (4470)Termination phase: Saturation
% 6.18/1.34  
% 6.18/1.34  % (4470)Memory used [KB]: 7264
% 6.18/1.34  % (4470)Time elapsed: 0.216 s
% 6.18/1.34  % (4470)Instructions burned: 427 (million)
% 6.18/1.37  % (4453)Running in auto input_syntax mode. Trying TPTP
% 6.18/1.37  % (4472)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 (2991ds/160Mi)
% 6.74/1.40  % (4453)Running in auto input_syntax mode. Trying TPTP
% 6.74/1.40  % (4473)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 (2991ds/462Mi)
% 7.12/1.46  % (4472)Instruction limit reached!
% 7.12/1.46  % (4472)------------------------------
% 7.12/1.46  % (4472)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.12/1.46  % (4472)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.12/1.46  % (4472)Termination reason: Time limit
% 7.12/1.46  % (4472)Termination phase: Saturation
% 7.12/1.46  
% 7.12/1.46  % (4472)Memory used [KB]: 3547
% 7.12/1.46  % (4472)Time elapsed: 0.115 s
% 7.12/1.46  % (4472)Instructions burned: 161 (million)
% 7.54/1.52  % (4453)Running in auto input_syntax mode. Trying TPTP
% 7.54/1.52  % (4474)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 (2989ds/2185Mi)
% 7.65/1.60  % (4468)Instruction limit reached!
% 7.65/1.60  % (4468)------------------------------
% 7.65/1.60  % (4468)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.65/1.60  % (4468)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.65/1.60  % (4468)Termination reason: Time limit
% 7.65/1.60  % (4468)Termination phase: Saturation
% 7.65/1.60  
% 7.65/1.60  % (4468)Memory used [KB]: 10045
% 7.65/1.60  % (4468)Time elapsed: 0.527 s
% 7.65/1.60  % (4468)Instructions burned: 1028 (million)
% 8.07/1.65  % (4453)Running in auto input_syntax mode. Trying TPTP
% 8.07/1.65  % (4475)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 (2988ds/308Mi)
% 8.07/1.68  % (4473)Instruction limit reached!
% 8.07/1.68  % (4473)------------------------------
% 8.07/1.68  % (4473)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.07/1.68  % (4473)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.07/1.68  % (4473)Termination reason: Time limit
% 8.07/1.68  % (4473)Termination phase: Saturation
% 8.07/1.68  
% 8.07/1.68  % (4473)Memory used [KB]: 6262
% 8.07/1.68  % (4473)Time elapsed: 0.301 s
% 8.07/1.68  % (4473)Instructions burned: 463 (million)
% 9.02/1.74  % (4453)Running in auto input_syntax mode. Trying TPTP
% 9.02/1.74  % (4476)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 (2987ds/336Mi)
% 9.57/1.79  % (4475)Instruction limit reached!
% 9.57/1.79  % (4475)------------------------------
% 9.57/1.79  % (4475)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.57/1.79  % (4475)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.57/1.79  % (4475)Termination reason: Time limit
% 9.57/1.79  % (4475)Termination phase: Saturation
% 9.57/1.79  
% 9.57/1.79  % (4475)Memory used [KB]: 6669
% 9.57/1.79  % (4475)Time elapsed: 0.160 s
% 9.57/1.79  % (4475)Instructions burned: 311 (million)
% 9.83/1.85  % (4453)Running in auto input_syntax mode. Trying TPTP
% 9.83/1.85  % (4477)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 (2986ds/349Mi)
% 9.83/1.87  % (4477)Refutation not found, incomplete strategy% (4477)------------------------------
% 9.83/1.87  % (4477)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.83/1.87  % (4477)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.83/1.87  % (4477)Termination reason: Refutation not found, incomplete strategy
% 9.83/1.87  
% 9.83/1.87  % (4477)Memory used [KB]: 2187
% 9.83/1.87  % (4477)Time elapsed: 0.039 s
% 9.83/1.87  % (4477)Instructions burned: 29 (million)
% 9.83/1.87  % (4477)------------------------------
% 9.83/1.87  % (4477)------------------------------
% 10.43/1.91  % (4476)Instruction limit reached!
% 10.43/1.91  % (4476)------------------------------
% 10.43/1.91  % (4476)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.43/1.91  % (4476)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.43/1.91  % (4476)Termination reason: Time limit
% 10.43/1.91  % (4476)Termination phase: Saturation
% 10.43/1.91  
% 10.43/1.91  % (4476)Memory used [KB]: 5426
% 10.43/1.91  % (4476)Time elapsed: 0.193 s
% 10.43/1.91  % (4476)Instructions burned: 337 (million)
% 10.43/1.92  % (4453)Running in auto input_syntax mode. Trying TPTP
% 10.43/1.92  % (4478)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 (2985ds/193Mi)
% 10.43/1.96  % (4453)Running in auto input_syntax mode. Trying TPTP
% 10.43/1.96  % (4479)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 (2985ds/632Mi)
% 10.85/1.99  % (4479)Refutation not found, incomplete strategy% (4479)------------------------------
% 10.85/1.99  % (4479)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.85/1.99  % (4479)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.85/1.99  % (4479)Termination reason: Refutation not found, incomplete strategy
% 10.85/1.99  
% 10.85/1.99  % (4479)Memory used [KB]: 2767
% 10.85/1.99  % (4479)Time elapsed: 0.025 s
% 10.85/1.99  % (4479)Instructions burned: 51 (million)
% 10.85/1.99  % (4479)------------------------------
% 10.85/1.99  % (4479)------------------------------
% 10.85/2.01  % (4478)Instruction limit reached!
% 10.85/2.01  % (4478)------------------------------
% 10.85/2.01  % (4478)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.85/2.01  % (4478)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.85/2.01  % (4478)Termination reason: Time limit
% 10.85/2.01  % (4478)Termination phase: Saturation
% 10.85/2.01  
% 10.85/2.01  % (4478)Memory used [KB]: 3943
% 10.85/2.01  % (4478)Time elapsed: 0.110 s
% 10.85/2.01  % (4478)Instructions burned: 193 (million)
% 10.85/2.05  % (4453)Running in auto input_syntax mode. Trying TPTP
% 10.85/2.05  % (4480)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 (2984ds/440Mi)
% 10.85/2.06  % (4453)Running in auto input_syntax mode. Trying TPTP
% 10.85/2.06  % (4481)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 (2984ds/730Mi)
% 12.68/2.28  % (4480)Instruction limit reached!
% 12.68/2.28  % (4480)------------------------------
% 12.68/2.28  % (4480)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.68/2.28  % (4480)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.68/2.28  % (4480)Termination reason: Time limit
% 12.68/2.28  % (4480)Termination phase: Saturation
% 12.68/2.28  
% 12.68/2.28  % (4480)Memory used [KB]: 8348
% 12.68/2.28  % (4480)Time elapsed: 0.227 s
% 12.68/2.28  % (4480)Instructions burned: 440 (million)
% 13.24/2.35  % (4453)Running in auto input_syntax mode. Trying TPTP
% 13.24/2.35  % (4482)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 (2981ds/228Mi)
% 13.81/2.43  % (4481)Instruction limit reached!
% 13.81/2.43  % (4481)------------------------------
% 13.81/2.43  % (4481)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.81/2.43  % (4481)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.81/2.43  % (4481)Termination reason: Time limit
% 13.81/2.43  % (4481)Termination phase: Saturation
% 13.81/2.43  
% 13.81/2.43  % (4481)Memory used [KB]: 12267
% 13.81/2.43  % (4481)Time elapsed: 0.364 s
% 13.81/2.43  % (4481)Instructions burned: 731 (million)
% 13.81/2.48  % (4482)Instruction limit reached!
% 13.81/2.48  % (4482)------------------------------
% 13.81/2.48  % (4482)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.81/2.48  % (4482)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.81/2.48  % (4482)Termination reason: Time limit
% 13.81/2.48  % (4482)Termination phase: Saturation
% 13.81/2.48  
% 13.81/2.48  % (4482)Memory used [KB]: 4519
% 13.81/2.48  % (4482)Time elapsed: 0.135 s
% 13.81/2.48  % (4482)Instructions burned: 228 (million)
% 13.81/2.48  % (4453)Running in auto input_syntax mode. Trying TPTP
% 13.81/2.48  % (4483)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 (2980ds/1008Mi)
% 14.52/2.54  % (4453)Running in auto input_syntax mode. Trying TPTP
% 14.52/2.54  % (4484)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 (2979ds/231Mi)
% 14.52/2.55  % (4484)Refutation not found, incomplete strategy% (4484)------------------------------
% 14.52/2.55  % (4484)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.52/2.55  % (4484)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.52/2.55  % (4484)Termination reason: Refutation not found, incomplete strategy
% 14.52/2.55  
% 14.52/2.55  % (4484)Memory used [KB]: 2266
% 14.52/2.55  % (4484)Time elapsed: 0.015 s
% 14.52/2.55  % (4484)Instructions burned: 27 (million)
% 14.52/2.55  % (4484)------------------------------
% 14.52/2.55  % (4484)------------------------------
% 15.14/2.61  % (4453)Running in auto input_syntax mode. Trying TPTP
% 15.14/2.61  % (4485)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 (2978ds/501Mi)
% 15.14/2.66  % (4474)Instruction limit reached!
% 15.14/2.66  % (4474)------------------------------
% 15.14/2.66  % (4474)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.14/2.66  % (4474)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.14/2.66  % (4474)Termination reason: Time limit
% 15.14/2.66  % (4474)Termination phase: Saturation
% 15.14/2.66  
% 15.14/2.66  % (4474)Memory used [KB]: 16281
% 15.14/2.66  % (4474)Time elapsed: 1.168 s
% 15.14/2.66  % (4474)Instructions burned: 2186 (million)
% 15.61/2.72  % (4453)Running in auto input_syntax mode. Trying TPTP
% 15.61/2.72  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 15.61/2.72  % (4486)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 (2977ds/411Mi)
% 16.00/2.85  % (4483)Instruction limit reached!
% 16.00/2.85  % (4483)------------------------------
% 16.00/2.85  % (4483)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.00/2.85  % (4483)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.00/2.85  % (4483)Termination reason: Time limit
% 16.00/2.85  % (4483)Termination phase: Saturation
% 16.00/2.85  
% 16.00/2.85  % (4483)Memory used [KB]: 7791
% 16.00/2.85  % (4483)Time elapsed: 0.368 s
% 16.00/2.85  % (4483)Instructions burned: 1008 (million)
% 16.00/2.86  % (4485)Instruction limit reached!
% 16.00/2.86  % (4485)------------------------------
% 16.00/2.86  % (4485)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.00/2.86  % (4485)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.00/2.86  % (4485)Termination reason: Time limit
% 16.00/2.86  % (4485)Termination phase: Saturation
% 16.00/2.86  
% 16.00/2.86  % (4485)Memory used [KB]: 5977
% 16.00/2.86  % (4485)Time elapsed: 0.255 s
% 16.00/2.86  % (4485)Instructions burned: 502 (million)
% 17.13/2.91  % (4486)Instruction limit reached!
% 17.13/2.91  % (4486)------------------------------
% 17.13/2.91  % (4486)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.13/2.91  % (4486)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.13/2.91  % (4486)Termination reason: Time limit
% 17.13/2.91  % (4486)Termination phase: Saturation
% 17.13/2.91  
% 17.13/2.91  % (4486)Memory used [KB]: 3664
% 17.13/2.91  % (4486)Time elapsed: 0.188 s
% 17.13/2.91  % (4486)Instructions burned: 411 (million)
% 17.13/2.91  % (4453)Running in auto input_syntax mode. Trying TPTP
% 17.13/2.91  % (4487)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 (2975ds/412Mi)
% 17.13/2.92  % (4453)Running in auto input_syntax mode. Trying TPTP
% 17.13/2.92  % (4488)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 (2975ds/886Mi)
% 17.13/2.98  % (4453)Running in auto input_syntax mode. Trying TPTP
% 17.13/2.98  % (4489)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 (2975ds/258Mi)
% 18.22/3.10  % (4487)Instruction limit reached!
% 18.22/3.10  % (4487)------------------------------
% 18.22/3.10  % (4487)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.22/3.10  % (4487)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.22/3.10  % (4487)Termination reason: Time limit
% 18.22/3.10  % (4487)Termination phase: Saturation
% 18.22/3.10  
% 18.22/3.10  % (4487)Memory used [KB]: 6551
% 18.22/3.10  % (4487)Time elapsed: 0.187 s
% 18.22/3.10  % (4487)Instructions burned: 412 (million)
% 18.90/3.13  % (4489)Instruction limit reached!
% 18.90/3.13  % (4489)------------------------------
% 18.90/3.13  % (4489)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.90/3.13  % (4489)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.90/3.13  % (4489)Termination reason: Time limit
% 18.90/3.13  % (4489)Termination phase: Saturation
% 18.90/3.13  
% 18.90/3.13  % (4489)Memory used [KB]: 4671
% 18.90/3.13  % (4489)Time elapsed: 0.194 s
% 18.90/3.13  % (4489)Instructions burned: 258 (million)
% 18.90/3.16  % (4453)Running in auto input_syntax mode. Trying TPTP
% 18.90/3.16  % (4490)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 (2973ds/420Mi)
% 18.90/3.19  % (4453)Running in auto input_syntax mode. Trying TPTP
% 18.90/3.19  % (4491)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 (2973ds/262Mi)
% 19.66/3.33  % (4491)Instruction limit reached!
% 19.66/3.33  % (4491)------------------------------
% 19.66/3.33  % (4491)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.66/3.33  % (4491)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.66/3.33  % (4491)Termination reason: Time limit
% 19.66/3.33  % (4491)Termination phase: Saturation
% 19.66/3.33  
% 19.66/3.33  % (4491)Memory used [KB]: 4210
% 19.66/3.33  % (4491)Time elapsed: 0.139 s
% 19.66/3.33  % (4491)Instructions burned: 263 (million)
% 19.66/3.33  % (4490)Instruction limit reached!
% 19.66/3.33  % (4490)------------------------------
% 19.66/3.33  % (4490)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.66/3.33  % (4490)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.66/3.33  % (4490)Termination reason: Time limit
% 19.66/3.33  % (4490)Termination phase: Saturation
% 19.66/3.33  
% 19.66/3.33  % (4490)Memory used [KB]: 8136
% 19.66/3.33  % (4490)Time elapsed: 0.179 s
% 19.66/3.33  % (4490)Instructions burned: 422 (million)
% 19.66/3.36  % (4488)Instruction limit reached!
% 19.66/3.36  % (4488)------------------------------
% 19.66/3.36  % (4488)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.66/3.36  % (4488)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.66/3.36  % (4488)Termination reason: Time limit
% 19.66/3.36  % (4488)Termination phase: Saturation
% 19.66/3.36  
% 19.66/3.36  % (4488)Memory used [KB]: 9757
% 19.66/3.36  % (4488)Time elapsed: 0.444 s
% 19.66/3.36  % (4488)Instructions burned: 886 (million)
% 20.61/3.39  % (4453)Running in auto input_syntax mode. Trying TPTP
% 20.61/3.39  % (4492)lrs+1002_1:1_to=lpo:sil=4000:sos=on:i=425:sd=1:ss=included_0 on theBenchmark for (2971ds/425Mi)
% 20.61/3.39  % (4453)Running in auto input_syntax mode. Trying TPTP
% 20.61/3.39  % (4493)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 (2971ds/619Mi)
% 20.81/3.43  % (4453)Running in auto input_syntax mode. Trying TPTP
% 20.81/3.43  % (4494)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 (2970ds/274Mi)
% 21.21/3.55  % (4492)First to succeed.
% 21.21/3.55  % (4492)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4453"
% 21.21/3.55  % (4453)Running in auto input_syntax mode. Trying TPTP
% 21.21/3.55  % (4492)Refutation found. Thanks to Tanya!
% 21.21/3.55  % SZS status Theorem for theBenchmark
% 21.21/3.55  % SZS output start Proof for theBenchmark
% See solution above
% 21.21/3.56  % (4492)------------------------------
% 21.21/3.56  % (4492)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.21/3.56  % (4492)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.21/3.56  % (4492)Termination reason: Refutation
% 21.21/3.56  
% 21.21/3.56  % (4492)Memory used [KB]: 5567
% 21.21/3.56  % (4492)Time elapsed: 0.165 s
% 21.21/3.56  % (4492)Instructions burned: 299 (million)
% 21.21/3.56  % (4492)------------------------------
% 21.21/3.56  % (4492)------------------------------
% 21.21/3.56  % (4453)Success in time 3.112 s
%------------------------------------------------------------------------------