TSTP Solution File: SWW259+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW259+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 04:17:50 EDT 2024

% Result   : Theorem 0.73s 0.88s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   38 (  10 unt;   0 def)
%            Number of atoms       :   96 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   97 (  39   ~;  33   |;  12   &)
%                                         (   4 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :   19 (  15   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3215,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3186,f3187,f3208,f3211,f3214]) ).

fof(f3214,plain,
    spl15_4,
    inference(avatar_contradiction_clause,[],[f3213]) ).

fof(f3213,plain,
    ( $false
    | spl15_4 ),
    inference(subsumption_resolution,[],[f3212,f2180]) ).

fof(f2180,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
    file('/export/starexec/sandbox2/tmp/tmp.jbghnbke0u/Vampire---4.8_7133',fact_inv0) ).

fof(f3212,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
    | spl15_4 ),
    inference(resolution,[],[f3207,f2176]) ).

fof(f2176,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(X0))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(cnf_transformation,[],[f1955]) ).

fof(f1955,plain,
    ! [X0] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(X0),X0)
        & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
        & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(X0)) )
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f1675,f1954]) ).

fof(f1954,plain,
    ! [X0] :
      ( ? [X1] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) )
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(X0),X0)
        & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
        & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1675,plain,
    ! [X0] :
      ( ? [X1] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) )
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(ennf_transformation,[],[f1301]) ).

fof(f1301,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
     => ? [X1] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X3)
     => ? [X4] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4,X3)
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jbghnbke0u/Vampire---4.8_7133',fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096) ).

fof(f3207,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))))
    | spl15_4 ),
    inference(avatar_component_clause,[],[f3205]) ).

fof(f3205,plain,
    ( spl15_4
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f3211,plain,
    spl15_3,
    inference(avatar_contradiction_clause,[],[f3210]) ).

fof(f3210,plain,
    ( $false
    | spl15_3 ),
    inference(subsumption_resolution,[],[f3209,f2180]) ).

fof(f3209,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
    | spl15_3 ),
    inference(resolution,[],[f3203,f2177]) ).

fof(f2177,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(cnf_transformation,[],[f1955]) ).

fof(f3203,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | spl15_3 ),
    inference(avatar_component_clause,[],[f3201]) ).

fof(f3201,plain,
    ( spl15_3
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f3208,plain,
    ( ~ spl15_3
    | ~ spl15_4
    | ~ spl15_1 ),
    inference(avatar_split_clause,[],[f3199,f3180,f3205,f3201]) ).

fof(f3180,plain,
    ( spl15_1
  <=> ! [X0] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f3199,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ spl15_1 ),
    inference(subsumption_resolution,[],[f3189,f2180]) ).

fof(f3189,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
    | ~ spl15_1 ),
    inference(resolution,[],[f3181,f2178]) ).

fof(f2178,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sK1(X0),X0)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(cnf_transformation,[],[f1955]) ).

fof(f3181,plain,
    ( ! [X0] :
        ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f3180]) ).

fof(f3187,plain,
    ~ spl15_2,
    inference(avatar_split_clause,[],[f2113,f3183]) ).

fof(f3183,plain,
    ( spl15_2
  <=> v_thesis____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f2113,plain,
    ~ v_thesis____,
    inference(cnf_transformation,[],[f1261]) ).

fof(f1261,plain,
    ~ v_thesis____,
    inference(flattening,[],[f1259]) ).

fof(f1259,negated_conjecture,
    ~ v_thesis____,
    inference(negated_conjecture,[],[f1258]) ).

fof(f1258,conjecture,
    v_thesis____,
    file('/export/starexec/sandbox2/tmp/tmp.jbghnbke0u/Vampire---4.8_7133',conj_1) ).

fof(f3186,plain,
    ( spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f2112,f3183,f3180]) ).

fof(f2112,plain,
    ! [X0] :
      ( v_thesis____
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(cnf_transformation,[],[f1650]) ).

fof(f1650,plain,
    ! [X0] :
      ( v_thesis____
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(flattening,[],[f1649]) ).

fof(f1649,plain,
    ! [X0] :
      ( v_thesis____
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(ennf_transformation,[],[f1260]) ).

fof(f1260,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
       => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
         => v_thesis____ ) ) ),
    inference(rectify,[],[f1257]) ).

fof(f1257,axiom,
    ! [X90] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X90)
     => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X90,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
       => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X90,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))
         => v_thesis____ ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jbghnbke0u/Vampire---4.8_7133',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW259+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:50:34 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.jbghnbke0u/Vampire---4.8_7133
% 0.62/0.85  % (7338)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.85  % (7334)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.85  % (7336)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.85  % (7335)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.85  % (7337)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.85  % (7341)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.85  % (7340)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.85  % (7339)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.87  % (7334)Instruction limit reached!
% 0.62/0.87  % (7334)------------------------------
% 0.62/0.87  % (7334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.87  % (7334)Termination reason: Unknown
% 0.62/0.87  % (7334)Termination phase: Property scanning
% 0.62/0.87  
% 0.62/0.87  % (7334)Memory used [KB]: 2365
% 0.62/0.87  % (7334)Time elapsed: 0.018 s
% 0.62/0.87  % (7334)Instructions burned: 34 (million)
% 0.62/0.87  % (7334)------------------------------
% 0.62/0.87  % (7334)------------------------------
% 0.62/0.87  % (7338)Instruction limit reached!
% 0.62/0.87  % (7338)------------------------------
% 0.62/0.87  % (7338)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.87  % (7338)Termination reason: Unknown
% 0.62/0.87  % (7338)Termination phase: Preprocessing 3
% 0.62/0.87  
% 0.62/0.87  % (7338)Memory used [KB]: 3123
% 0.62/0.87  % (7338)Time elapsed: 0.018 s
% 0.62/0.87  % (7338)Instructions burned: 36 (million)
% 0.62/0.87  % (7338)------------------------------
% 0.62/0.87  % (7338)------------------------------
% 0.62/0.87  % (7337)Instruction limit reached!
% 0.62/0.87  % (7337)------------------------------
% 0.62/0.87  % (7337)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.87  % (7337)Termination reason: Unknown
% 0.62/0.87  % (7337)Termination phase: Saturation
% 0.62/0.87  
% 0.62/0.87  % (7337)Memory used [KB]: 2350
% 0.62/0.87  % (7337)Time elapsed: 0.020 s
% 0.62/0.87  % (7337)Instructions burned: 33 (million)
% 0.62/0.87  % (7337)------------------------------
% 0.62/0.87  % (7337)------------------------------
% 0.62/0.87  % (7347)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.73/0.87  % (7346)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.73/0.87  % (7339)Instruction limit reached!
% 0.73/0.87  % (7339)------------------------------
% 0.73/0.87  % (7339)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.87  % (7339)Termination reason: Unknown
% 0.73/0.87  % (7339)Termination phase: Property scanning
% 0.73/0.87  
% 0.73/0.87  % (7339)Memory used [KB]: 2567
% 0.73/0.87  % (7339)Time elapsed: 0.021 s
% 0.73/0.87  % (7339)Instructions burned: 45 (million)
% 0.73/0.87  % (7339)------------------------------
% 0.73/0.87  % (7339)------------------------------
% 0.73/0.87  % (7348)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.73/0.87  % (7350)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.73/0.88  % (7341)First to succeed.
% 0.73/0.88  % (7335)Instruction limit reached!
% 0.73/0.88  % (7335)------------------------------
% 0.73/0.88  % (7335)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.88  % (7335)Termination reason: Unknown
% 0.73/0.88  % (7335)Termination phase: Property scanning
% 0.73/0.88  
% 0.73/0.88  % (7335)Memory used [KB]: 3343
% 0.73/0.88  % (7335)Time elapsed: 0.028 s
% 0.73/0.88  % (7335)Instructions burned: 53 (million)
% 0.73/0.88  % (7335)------------------------------
% 0.73/0.88  % (7335)------------------------------
% 0.73/0.88  % (7341)Refutation found. Thanks to Tanya!
% 0.73/0.88  % SZS status Theorem for Vampire---4
% 0.73/0.88  % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.88  % (7341)------------------------------
% 0.73/0.88  % (7341)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.88  % (7341)Termination reason: Refutation
% 0.73/0.88  
% 0.73/0.88  % (7341)Memory used [KB]: 2611
% 0.73/0.88  % (7341)Time elapsed: 0.028 s
% 0.73/0.88  % (7341)Instructions burned: 54 (million)
% 0.73/0.88  % (7341)------------------------------
% 0.73/0.88  % (7341)------------------------------
% 0.73/0.88  % (7303)Success in time 0.509 s
% 0.73/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------