TSTP Solution File: SWW212+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW212+1 : TPTP v8.2.0. 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 : 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 : Tue May 21 06:58:06 EDT 2024

% Result   : Theorem 0.76s 1.00s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   37 (   5 unt;   0 def)
%            Number of atoms       :   96 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  103 (  44   ~;  26   |;  14   &)
%                                         (   2 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   9 con; 0-5 aty)
%            Number of variables   :   79 (  60   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2490,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2312,f2432,f2487]) ).

fof(f2487,plain,
    ~ spl21_2,
    inference(avatar_contradiction_clause,[],[f2486]) ).

fof(f2486,plain,
    ( $false
    | ~ spl21_2 ),
    inference(subsumption_resolution,[],[f2467,f1848]) ).

fof(f1848,plain,
    c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_hs) ).

fof(f2467,plain,
    ( ~ c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))
    | ~ spl21_2 ),
    inference(resolution,[],[f2311,f2243]) ).

fof(f2243,plain,
    ! [X2,X3,X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sK1(X0,X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3),X1)))
      | ~ c_SEQ_Osubseq(X0) ),
    inference(resolution,[],[f1835,f2129]) ).

fof(f2129,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X0)
      | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
    inference(cnf_transformation,[],[f1682]) ).

fof(f1682,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0) )
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X0) ),
    inference(ennf_transformation,[],[f1484]) ).

fof(f1484,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),X1),X0)
     => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X0)
         => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
    inference(rectify,[],[f311]) ).

fof(f311,axiom,
    ! [X20,X27,X26] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X26),X27),X20)
     => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X26,X20)
         => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X27,X20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__leE) ).

fof(f1835,plain,
    ! [X3,X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,sK1(X0,X1,X3))
      | ~ c_SEQ_Osubseq(X0) ),
    inference(cnf_transformation,[],[f1712]) ).

fof(f1712,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X3] :
              ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK1(X0,X1,X3)))),X1)),sK0(X0,X1))
              & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,sK1(X0,X1,X3)) )
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(X0,X1)) )
      | ~ c_SEQ_Osubseq(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1539,f1711,f1710]) ).

fof(f1710,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ! [X3] :
            ? [X4] :
              ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),X2)
              & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) )
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) )
     => ( ! [X3] :
          ? [X4] :
            ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),sK0(X0,X1))
            & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) )
        & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1711,plain,
    ! [X0,X1,X3] :
      ( ? [X4] :
          ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),sK0(X0,X1))
          & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) )
     => ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK1(X0,X1,X3)))),X1)),sK0(X0,X1))
        & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,sK1(X0,X1,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1539,plain,
    ! [X0] :
      ( ! [X1] :
        ? [X2] :
          ( ! [X3] :
            ? [X4] :
              ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),X2)
              & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) )
          & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) )
      | ~ c_SEQ_Osubseq(X0) ),
    inference(ennf_transformation,[],[f1276]) ).

fof(f1276,plain,
    ~ ? [X0] :
        ( ? [X1] :
          ! [X2] :
            ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
           => ? [X3] :
              ! [X4] :
                ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
               => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),X2) ) )
        & c_SEQ_Osubseq(X0) ),
    inference(rectify,[],[f1275]) ).

fof(f1275,negated_conjecture,
    ~ ? [X58] :
        ( ? [X105] :
          ! [X112] :
            ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X112)
           => ? [X24] :
              ! [X8] :
                ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X24,X8)
               => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X58,X8))),X105)),X112) ) )
        & c_SEQ_Osubseq(X58) ),
    inference(negated_conjecture,[],[f1274]) ).

fof(f1274,conjecture,
    ? [X58] :
      ( ? [X105] :
        ! [X112] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X112)
         => ? [X24] :
            ! [X8] :
              ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X24,X8)
             => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X58,X8))),X105)),X112) ) )
      & c_SEQ_Osubseq(X58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f2311,plain,
    ( ! [X0] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(sK0(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),sK1(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____),X0))
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f2310]) ).

fof(f2310,plain,
    ( spl21_2
  <=> ! [X0] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(sK0(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),sK1(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).

fof(f2432,plain,
    spl21_1,
    inference(avatar_contradiction_clause,[],[f2431]) ).

fof(f2431,plain,
    ( $false
    | spl21_1 ),
    inference(subsumption_resolution,[],[f2427,f1848]) ).

fof(f2427,plain,
    ( ~ c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))
    | spl21_1 ),
    inference(resolution,[],[f2308,f1834]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(X0,X1))
      | ~ c_SEQ_Osubseq(X0) ),
    inference(cnf_transformation,[],[f1712]) ).

fof(f2308,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____)))
    | spl21_1 ),
    inference(avatar_component_clause,[],[f2306]) ).

fof(f2306,plain,
    ( spl21_1
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).

fof(f2312,plain,
    ( ~ spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f2304,f2310,f2306]) ).

fof(f2304,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(sK0(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),sK1(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____),X0))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))) ),
    inference(subsumption_resolution,[],[f2277,f1848]) ).

fof(f2277,plain,
    ! [X0] :
      ( ~ c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(sK0(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),sK1(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____),X0))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))) ),
    inference(resolution,[],[f1836,f1986]) ).

fof(f1986,plain,
    ! [X2,X0] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(X0),X2)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(cnf_transformation,[],[f1760]) ).

fof(f1760,plain,
    ! [X0] :
      ( ! [X2] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
          | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(X0),X2) )
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f1620,f1759]) ).

fof(f1759,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
          | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) )
     => ! [X2] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
          | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(X0),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f1620,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
          | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) )
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(ennf_transformation,[],[f1382]) ).

fof(f1382,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
     => ? [X1] :
        ! [X2] :
          ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
         => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0) ) ),
    inference(rectify,[],[f94]) ).

fof(f94,axiom,
    ! [X23] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X23)
     => ? [X24] :
        ! [X8] :
          ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X24,X8)
         => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X8))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X23) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_B_Be_O_A0_A_060_Ae_A_061_061_062_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Is_A_I_If_Ao_Ag_J_An_J_A_N_AComplex_Ax_Ay_J_A_060_Ae_096) ).

fof(f1836,plain,
    ! [X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK1(X0,X1,X3)))),X1)),sK0(X0,X1))
      | ~ c_SEQ_Osubseq(X0) ),
    inference(cnf_transformation,[],[f1712]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW212+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.13  % 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
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 21:02:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.72/0.93  % (4616)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.72/0.93  % (4615)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.72/0.93  % (4613)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 theBenchmark for (2994ds/34Mi)
% 0.72/0.93  % (4617)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 theBenchmark for (2994ds/34Mi)
% 0.72/0.93  % (4614)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 theBenchmark for (2994ds/51Mi)
% 0.72/0.93  % (4618)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.72/0.93  % (4619)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 theBenchmark for (2994ds/83Mi)
% 0.72/0.93  % (4620)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.76/0.94  % (4613)Instruction limit reached!
% 0.76/0.94  % (4613)------------------------------
% 0.76/0.94  % (4613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (4613)Termination reason: Unknown
% 0.76/0.94  % (4613)Termination phase: Property scanning
% 0.76/0.94  
% 0.76/0.94  % (4613)Memory used [KB]: 2357
% 0.76/0.94  % (4613)Time elapsed: 0.019 s
% 0.76/0.94  % (4613)Instructions burned: 34 (million)
% 0.76/0.94  % (4613)------------------------------
% 0.76/0.94  % (4613)------------------------------
% 0.76/0.95  % (4616)Instruction limit reached!
% 0.76/0.95  % (4616)------------------------------
% 0.76/0.95  % (4616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95  % (4616)Termination reason: Unknown
% 0.76/0.95  % (4616)Termination phase: Saturation
% 0.76/0.95  
% 0.76/0.95  % (4616)Memory used [KB]: 2503
% 0.76/0.95  % (4616)Time elapsed: 0.021 s
% 0.76/0.95  % (4616)Instructions burned: 34 (million)
% 0.76/0.95  % (4616)------------------------------
% 0.76/0.95  % (4616)------------------------------
% 0.76/0.95  % (4617)Instruction limit reached!
% 0.76/0.95  % (4617)------------------------------
% 0.76/0.95  % (4617)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95  % (4617)Termination reason: Unknown
% 0.76/0.95  % (4617)Termination phase: Preprocessing 3
% 0.76/0.95  
% 0.76/0.95  % (4617)Memory used [KB]: 3220
% 0.76/0.95  % (4617)Time elapsed: 0.022 s
% 0.76/0.95  % (4617)Instructions burned: 35 (million)
% 0.76/0.95  % (4617)------------------------------
% 0.76/0.95  % (4617)------------------------------
% 0.76/0.95  % (4621)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 theBenchmark for (2994ds/55Mi)
% 0.76/0.95  % (4622)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 theBenchmark for (2994ds/50Mi)
% 0.76/0.95  % (4618)Instruction limit reached!
% 0.76/0.95  % (4618)------------------------------
% 0.76/0.95  % (4618)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95  % (4618)Termination reason: Unknown
% 0.76/0.95  % (4618)Termination phase: Saturation
% 0.76/0.95  
% 0.76/0.95  % (4618)Memory used [KB]: 2754
% 0.76/0.95  % (4618)Time elapsed: 0.026 s
% 0.76/0.95  % (4618)Instructions burned: 45 (million)
% 0.76/0.95  % (4618)------------------------------
% 0.76/0.95  % (4618)------------------------------
% 0.76/0.95  % (4623)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.76/0.96  % (4624)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 theBenchmark for (2994ds/52Mi)
% 0.76/0.96  % (4614)Instruction limit reached!
% 0.76/0.96  % (4614)------------------------------
% 0.76/0.96  % (4614)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96  % (4614)Termination reason: Unknown
% 0.76/0.96  % (4614)Termination phase: Property scanning
% 0.76/0.96  
% 0.76/0.96  % (4614)Memory used [KB]: 3540
% 0.76/0.96  % (4614)Time elapsed: 0.031 s
% 0.76/0.96  % (4614)Instructions burned: 51 (million)
% 0.76/0.96  % (4614)------------------------------
% 0.76/0.96  % (4614)------------------------------
% 0.76/0.96  % (4620)Instruction limit reached!
% 0.76/0.96  % (4620)------------------------------
% 0.76/0.96  % (4620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.96  % (4620)Termination reason: Unknown
% 0.76/0.96  % (4620)Termination phase: Saturation
% 0.76/0.96  
% 0.76/0.96  % (4620)Memory used [KB]: 2697
% 0.76/0.96  % (4620)Time elapsed: 0.033 s
% 0.76/0.96  % (4620)Instructions burned: 57 (million)
% 0.76/0.96  % (4620)------------------------------
% 0.76/0.96  % (4620)------------------------------
% 0.76/0.96  % (4625)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.76/0.96  % (4626)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.76/0.97  % (4615)Instruction limit reached!
% 0.76/0.97  % (4615)------------------------------
% 0.76/0.97  % (4615)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.97  % (4615)Termination reason: Unknown
% 0.76/0.97  % (4615)Termination phase: Saturation
% 0.76/0.97  
% 0.76/0.97  % (4615)Memory used [KB]: 3027
% 0.76/0.97  % (4615)Time elapsed: 0.045 s
% 0.76/0.97  % (4615)Instructions burned: 78 (million)
% 0.76/0.97  % (4615)------------------------------
% 0.76/0.97  % (4615)------------------------------
% 0.76/0.97  % (4627)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2993ds/243Mi)
% 0.76/0.98  % (4621)Instruction limit reached!
% 0.76/0.98  % (4621)------------------------------
% 0.76/0.98  % (4621)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.98  % (4621)Termination reason: Unknown
% 0.76/0.98  % (4621)Termination phase: Property scanning
% 0.76/0.98  % (4622)Instruction limit reached!
% 0.76/0.98  % (4622)------------------------------
% 0.76/0.98  % (4622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.98  
% 0.76/0.98  % (4621)Memory used [KB]: 3543
% 0.76/0.98  % (4621)Time elapsed: 0.033 s
% 0.76/0.98  % (4621)Instructions burned: 55 (million)
% 0.76/0.98  % (4621)------------------------------
% 0.76/0.98  % (4621)------------------------------
% 0.76/0.98  % (4622)Termination reason: Unknown
% 0.76/0.98  % (4622)Termination phase: Property scanning
% 0.76/0.98  
% 0.76/0.98  % (4622)Memory used [KB]: 3544
% 0.76/0.98  % (4622)Time elapsed: 0.031 s
% 0.76/0.98  % (4622)Instructions burned: 50 (million)
% 0.76/0.98  % (4622)------------------------------
% 0.76/0.98  % (4622)------------------------------
% 0.76/0.98  % (4619)Instruction limit reached!
% 0.76/0.98  % (4619)------------------------------
% 0.76/0.98  % (4619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.98  % (4619)Termination reason: Unknown
% 0.76/0.98  % (4619)Termination phase: Saturation
% 0.76/0.98  
% 0.76/0.98  % (4619)Memory used [KB]: 3443
% 0.76/0.98  % (4619)Time elapsed: 0.055 s
% 0.76/0.98  % (4619)Instructions burned: 83 (million)
% 0.76/0.98  % (4619)------------------------------
% 0.76/0.98  % (4619)------------------------------
% 0.76/0.98  % (4628)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2993ds/117Mi)
% 0.76/0.98  % (4629)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2993ds/143Mi)
% 0.76/0.98  % (4630)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2993ds/93Mi)
% 0.76/0.98  % (4624)Instruction limit reached!
% 0.76/0.98  % (4624)------------------------------
% 0.76/0.98  % (4624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.98  % (4624)Termination reason: Unknown
% 0.76/0.98  % (4624)Termination phase: Saturation
% 0.76/0.98  
% 0.76/0.98  % (4624)Memory used [KB]: 2907
% 0.76/0.98  % (4624)Time elapsed: 0.032 s
% 0.76/0.98  % (4624)Instructions burned: 53 (million)
% 0.76/0.98  % (4624)------------------------------
% 0.76/0.98  % (4624)------------------------------
% 0.76/0.99  % (4626)Instruction limit reached!
% 0.76/0.99  % (4626)------------------------------
% 0.76/0.99  % (4626)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.99  % (4626)Termination reason: Unknown
% 0.76/0.99  % (4626)Termination phase: Property scanning
% 0.76/0.99  
% 0.76/0.99  % (4626)Memory used [KB]: 3543
% 0.76/0.99  % (4626)Time elapsed: 0.026 s
% 0.76/0.99  % (4626)Instructions burned: 42 (million)
% 0.76/0.99  % (4626)------------------------------
% 0.76/0.99  % (4626)------------------------------
% 0.76/0.99  % (4631)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2993ds/62Mi)
% 0.76/0.99  % (4632)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2993ds/32Mi)
% 0.76/0.99  % (4625)First to succeed.
% 0.76/1.00  % (4625)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4612"
% 0.76/1.00  % (4625)Refutation found. Thanks to Tanya!
% 0.76/1.00  % SZS status Theorem for theBenchmark
% 0.76/1.00  % SZS output start Proof for theBenchmark
% See solution above
% 0.76/1.00  % (4625)------------------------------
% 0.76/1.00  % (4625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/1.00  % (4625)Termination reason: Refutation
% 0.76/1.00  
% 0.76/1.00  % (4625)Memory used [KB]: 2672
% 0.76/1.00  % (4625)Time elapsed: 0.037 s
% 0.76/1.00  % (4625)Instructions burned: 61 (million)
% 0.76/1.00  % (4612)Success in time 0.626 s
% 0.76/1.00  % Vampire---4.8 exiting
%------------------------------------------------------------------------------