TSTP Solution File: SWW220+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW220+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 06:58:09 EDT 2024

% Result   : Theorem 1.02s 0.89s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   48 (   7 unt;   0 def)
%            Number of atoms       :  148 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  169 (  69   ~;  59   |;  18   &)
%                                         (   6 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   11 (  10 usr;   8 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :  101 (  71   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2834,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2696,f2700,f2704,f2705,f2750,f2821,f2833]) ).

fof(f2833,plain,
    ( ~ spl23_3
    | ~ spl23_6 ),
    inference(avatar_contradiction_clause,[],[f2832]) ).

fof(f2832,plain,
    ( $false
    | ~ spl23_3
    | ~ spl23_6 ),
    inference(subsumption_resolution,[],[f2823,f2065]) ).

fof(f2065,plain,
    c_SEQ_Osubseq(sK6),
    inference(cnf_transformation,[],[f1842]) ).

fof(f1842,plain,
    ( ! [X2] :
        ( ! [X4] :
            ( 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_g____(hAPP(sK6,X4)),sK7)),X2)
            | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(X2)),X4)) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) )
    & c_SEQ_Osubseq(sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f1628,f1841,f1840,f1839]) ).

fof(f1839,plain,
    ( ? [X0] :
        ( ? [X1] :
          ! [X2] :
            ( ? [X3] :
              ! [X4] :
                ( 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_g____(hAPP(X0,X4)),X1)),X2)
                | ~ hBOOL(hAPP(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) )
   => ( ? [X1] :
        ! [X2] :
          ( ? [X3] :
            ! [X4] :
              ( 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_g____(hAPP(sK6,X4)),X1)),X2)
              | ~ hBOOL(hAPP(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(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f1840,plain,
    ( ? [X1] :
      ! [X2] :
        ( ? [X3] :
          ! [X4] :
            ( 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_g____(hAPP(sK6,X4)),X1)),X2)
            | ~ hBOOL(hAPP(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) )
   => ! [X2] :
        ( ? [X3] :
          ! [X4] :
            ( 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_g____(hAPP(sK6,X4)),sK7)),X2)
            | ~ hBOOL(hAPP(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) ) ),
    introduced(choice_axiom,[]) ).

fof(f1841,plain,
    ! [X2] :
      ( ? [X3] :
        ! [X4] :
          ( 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_g____(hAPP(sK6,X4)),sK7)),X2)
          | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4)) )
     => ! [X4] :
          ( 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_g____(hAPP(sK6,X4)),sK7)),X2)
          | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(X2)),X4)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1628,plain,
    ? [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ? [X3] :
            ! [X4] :
              ( 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_g____(hAPP(X0,X4)),X1)),X2)
              | ~ hBOOL(hAPP(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,[],[f1316]) ).

fof(f1316,plain,
    ? [X0] :
      ( ? [X1] :
        ! [X2] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
         => ? [X3] :
            ! [X4] :
              ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
             => 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_g____(hAPP(X0,X4)),X1)),X2) ) )
      & c_SEQ_Osubseq(X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ? [X5] :
      ( ? [X6] :
        ! [X7] :
          ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X7)
         => ? [X8] :
            ! [X9] :
              ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X8),X9))
             => 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_g____(hAPP(X5,X9)),X6)),X7) ) )
      & c_SEQ_Osubseq(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096) ).

fof(f2823,plain,
    ( ~ c_SEQ_Osubseq(sK6)
    | ~ spl23_3
    | ~ spl23_6 ),
    inference(resolution,[],[f2749,f2699]) ).

fof(f2699,plain,
    ( ! [X3,X0,X1] :
        ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),sK1(X0,X1,X3)))
        | ~ c_SEQ_Osubseq(X0) )
    | ~ spl23_3 ),
    inference(avatar_component_clause,[],[f2698]) ).

fof(f2698,plain,
    ( spl23_3
  <=> ! [X0,X1,X3] :
        ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),sK1(X0,X1,X3)))
        | ~ c_SEQ_Osubseq(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).

fof(f2749,plain,
    ( ! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(sK0(sK6,sK7))),sK1(sK6,sK7,X0)))
    | ~ spl23_6 ),
    inference(avatar_component_clause,[],[f2748]) ).

fof(f2748,plain,
    ( spl23_6
  <=> ! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(sK0(sK6,sK7))),sK1(sK6,sK7,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).

fof(f2821,plain,
    ( ~ spl23_4
    | spl23_5 ),
    inference(avatar_contradiction_clause,[],[f2820]) ).

fof(f2820,plain,
    ( $false
    | ~ spl23_4
    | spl23_5 ),
    inference(subsumption_resolution,[],[f2818,f2065]) ).

fof(f2818,plain,
    ( ~ c_SEQ_Osubseq(sK6)
    | ~ spl23_4
    | spl23_5 ),
    inference(resolution,[],[f2746,f2703]) ).

fof(f2703,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) )
    | ~ spl23_4 ),
    inference(avatar_component_clause,[],[f2702]) ).

fof(f2702,plain,
    ( spl23_4
  <=> ! [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) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).

fof(f2746,plain,
    ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(sK6,sK7))
    | spl23_5 ),
    inference(avatar_component_clause,[],[f2744]) ).

fof(f2744,plain,
    ( spl23_5
  <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(sK6,sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).

fof(f2750,plain,
    ( ~ spl23_5
    | spl23_6
    | ~ spl23_1 ),
    inference(avatar_split_clause,[],[f2742,f2690,f2748,f2744]) ).

fof(f2690,plain,
    ( spl23_1
  <=> ! [X0,X1,X3] :
        ( ~ 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_g____(hAPP(X0,sK1(X0,X1,X3))),X1)),sK0(X0,X1))
        | ~ c_SEQ_Osubseq(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).

fof(f2742,plain,
    ( ! [X0] :
        ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(sK0(sK6,sK7))),sK1(sK6,sK7,X0)))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(sK6,sK7)) )
    | ~ spl23_1 ),
    inference(subsumption_resolution,[],[f2719,f2065]) ).

fof(f2719,plain,
    ( ! [X0] :
        ( ~ c_SEQ_Osubseq(sK6)
        | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(sK0(sK6,sK7))),sK1(sK6,sK7,X0)))
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK0(sK6,sK7)) )
    | ~ spl23_1 ),
    inference(resolution,[],[f2691,f2066]) ).

fof(f2066,plain,
    ! [X2,X4] :
      ( 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_g____(hAPP(sK6,X4)),sK7)),X2)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK8(X2)),X4))
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
    inference(cnf_transformation,[],[f1842]) ).

fof(f2691,plain,
    ( ! [X3,X0,X1] :
        ( ~ 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_g____(hAPP(X0,sK1(X0,X1,X3))),X1)),sK0(X0,X1))
        | ~ c_SEQ_Osubseq(X0) )
    | ~ spl23_1 ),
    inference(avatar_component_clause,[],[f2690]) ).

fof(f2705,plain,
    ~ spl23_2,
    inference(avatar_split_clause,[],[f1990,f2693]) ).

fof(f2693,plain,
    ( spl23_2
  <=> v_thesis____ ),
    introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).

fof(f1990,plain,
    ~ v_thesis____,
    inference(cnf_transformation,[],[f1273]) ).

fof(f1273,plain,
    ~ v_thesis____,
    inference(flattening,[],[f1271]) ).

fof(f1271,negated_conjecture,
    ~ v_thesis____,
    inference(negated_conjecture,[],[f1270]) ).

fof(f1270,conjecture,
    v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f2704,plain,
    ( spl23_4
    | spl23_2 ),
    inference(avatar_split_clause,[],[f1987,f2693,f2702]) ).

fof(f1987,plain,
    ! [X0,X1] :
      ( v_thesis____
      | 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,[],[f1809]) ).

fof(f1809,plain,
    ! [X0] :
      ( v_thesis____
      | ! [X1] :
          ( ! [X3] :
              ( ~ 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_g____(hAPP(X0,sK1(X0,X1,X3))),X1)),sK0(X0,X1))
              & hBOOL(hAPP(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])],[f1596,f1808,f1807]) ).

fof(f1807,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ! [X3] :
            ? [X4] :
              ( ~ 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_g____(hAPP(X0,X4)),X1)),X2)
              & hBOOL(hAPP(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,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,X4)),X1)),sK0(X0,X1))
            & hBOOL(hAPP(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(f1808,plain,
    ! [X0,X1,X3] :
      ( ? [X4] :
          ( ~ 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_g____(hAPP(X0,X4)),X1)),sK0(X0,X1))
          & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4)) )
     => ( ~ 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_g____(hAPP(X0,sK1(X0,X1,X3))),X1)),sK0(X0,X1))
        & hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),sK1(X0,X1,X3))) ) ),
    introduced(choice_axiom,[]) ).

fof(f1596,plain,
    ! [X0] :
      ( v_thesis____
      | ! [X1] :
        ? [X2] :
          ( ! [X3] :
            ? [X4] :
              ( ~ 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_g____(hAPP(X0,X4)),X1)),X2)
              & hBOOL(hAPP(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(flattening,[],[f1595]) ).

fof(f1595,plain,
    ! [X0] :
      ( v_thesis____
      | ! [X1] :
        ? [X2] :
          ( ! [X3] :
            ? [X4] :
              ( ~ 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_g____(hAPP(X0,X4)),X1)),X2)
              & hBOOL(hAPP(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,[],[f1272]) ).

fof(f1272,plain,
    ! [X0] :
      ( c_SEQ_Osubseq(X0)
     => ( ? [X1] :
          ! [X2] :
            ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
           => ? [X3] :
              ! [X4] :
                ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X4))
               => 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_g____(hAPP(X0,X4)),X1)),X2) ) )
       => v_thesis____ ) ),
    inference(rectify,[],[f1269]) ).

fof(f1269,axiom,
    ! [X5] :
      ( c_SEQ_Osubseq(X5)
     => ( ? [X6] :
          ! [X7] :
            ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X7)
           => ? [X8] :
              ! [X9] :
                ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X8),X9))
               => 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_g____(hAPP(X5,X9)),X6)),X7) ) )
       => v_thesis____ ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f2700,plain,
    ( spl23_3
    | spl23_2 ),
    inference(avatar_split_clause,[],[f1988,f2693,f2698]) ).

fof(f1988,plain,
    ! [X3,X0,X1] :
      ( v_thesis____
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),sK1(X0,X1,X3)))
      | ~ c_SEQ_Osubseq(X0) ),
    inference(cnf_transformation,[],[f1809]) ).

fof(f2696,plain,
    ( spl23_1
    | spl23_2 ),
    inference(avatar_split_clause,[],[f1989,f2693,f2690]) ).

fof(f1989,plain,
    ! [X3,X0,X1] :
      ( v_thesis____
      | ~ 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_g____(hAPP(X0,sK1(X0,X1,X3))),X1)),sK0(X0,X1))
      | ~ c_SEQ_Osubseq(X0) ),
    inference(cnf_transformation,[],[f1809]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWW220+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n015.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   : Sat May 18 18:56:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.83  % (29196)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 (2995ds/34Mi)
% 0.60/0.83  % (29199)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.83  % (29198)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.83  % (29197)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 (2995ds/51Mi)
% 0.60/0.83  % (29200)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 (2995ds/34Mi)
% 0.60/0.83  % (29201)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.83  % (29202)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 (2995ds/83Mi)
% 0.60/0.83  % (29203)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 (2995ds/56Mi)
% 0.60/0.84  % (29196)Instruction limit reached!
% 0.60/0.84  % (29196)------------------------------
% 0.60/0.84  % (29196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (29196)Termination reason: Unknown
% 0.60/0.84  % (29196)Termination phase: Property scanning
% 0.60/0.84  
% 0.60/0.84  % (29196)Memory used [KB]: 2335
% 0.60/0.84  % (29196)Time elapsed: 0.018 s
% 0.60/0.84  % (29196)Instructions burned: 36 (million)
% 0.60/0.84  % (29196)------------------------------
% 0.60/0.84  % (29196)------------------------------
% 0.60/0.84  % (29199)Instruction limit reached!
% 0.60/0.84  % (29199)------------------------------
% 0.60/0.84  % (29199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (29199)Termination reason: Unknown
% 0.60/0.84  % (29199)Termination phase: Saturation
% 0.60/0.84  
% 0.60/0.84  % (29200)Instruction limit reached!
% 0.60/0.84  % (29200)------------------------------
% 0.60/0.84  % (29200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84  % (29200)Termination reason: Unknown
% 0.60/0.84  % (29200)Termination phase: Preprocessing 3
% 0.60/0.84  
% 0.60/0.84  % (29200)Memory used [KB]: 3235
% 0.60/0.84  % (29200)Time elapsed: 0.020 s
% 0.60/0.84  % (29200)Instructions burned: 34 (million)
% 0.60/0.84  % (29200)------------------------------
% 0.60/0.84  % (29200)------------------------------
% 0.60/0.84  % (29199)Memory used [KB]: 2441
% 0.60/0.84  % (29199)Time elapsed: 0.020 s
% 0.60/0.84  % (29199)Instructions burned: 33 (million)
% 0.60/0.84  % (29199)------------------------------
% 0.60/0.84  % (29199)------------------------------
% 0.60/0.85  % (29204)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 (2995ds/55Mi)
% 0.60/0.85  % (29205)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 (2995ds/50Mi)
% 0.60/0.85  % (29201)Instruction limit reached!
% 0.60/0.85  % (29201)------------------------------
% 0.60/0.85  % (29201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (29201)Termination reason: Unknown
% 0.60/0.85  % (29206)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 (2995ds/208Mi)
% 0.60/0.85  % (29201)Termination phase: Saturation
% 0.60/0.85  
% 0.60/0.85  % (29201)Memory used [KB]: 2679
% 0.60/0.85  % (29201)Time elapsed: 0.024 s
% 0.60/0.85  % (29201)Instructions burned: 46 (million)
% 0.60/0.85  % (29201)------------------------------
% 0.60/0.85  % (29201)------------------------------
% 0.75/0.85  % (29207)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 (2995ds/52Mi)
% 0.75/0.85  % (29197)Instruction limit reached!
% 0.75/0.85  % (29197)------------------------------
% 0.75/0.85  % (29197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85  % (29197)Termination reason: Unknown
% 0.75/0.85  % (29197)Termination phase: Property scanning
% 0.75/0.85  
% 0.75/0.85  % (29197)Memory used [KB]: 3567
% 0.75/0.85  % (29197)Time elapsed: 0.029 s
% 0.75/0.85  % (29197)Instructions burned: 52 (million)
% 0.75/0.85  % (29197)------------------------------
% 0.75/0.85  % (29197)------------------------------
% 0.75/0.85  % (29203)Instruction limit reached!
% 0.75/0.85  % (29203)------------------------------
% 0.75/0.85  % (29203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.85  % (29203)Termination reason: Unknown
% 0.75/0.85  % (29203)Termination phase: Saturation
% 0.75/0.85  
% 0.75/0.85  % (29203)Memory used [KB]: 2867
% 0.75/0.85  % (29203)Time elapsed: 0.030 s
% 0.75/0.85  % (29203)Instructions burned: 56 (million)
% 0.75/0.85  % (29203)------------------------------
% 0.75/0.85  % (29203)------------------------------
% 0.75/0.86  % (29208)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 (2995ds/518Mi)
% 0.75/0.86  % (29209)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 (2995ds/42Mi)
% 0.75/0.87  % (29198)Instruction limit reached!
% 0.75/0.87  % (29198)------------------------------
% 0.75/0.87  % (29198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.87  % (29198)Termination reason: Unknown
% 0.75/0.87  % (29198)Termination phase: Saturation
% 0.75/0.87  
% 0.75/0.87  % (29198)Memory used [KB]: 2957
% 0.75/0.87  % (29198)Time elapsed: 0.043 s
% 0.75/0.87  % (29198)Instructions burned: 79 (million)
% 0.75/0.87  % (29198)------------------------------
% 0.75/0.87  % (29198)------------------------------
% 0.75/0.87  % (29202)Instruction limit reached!
% 0.75/0.87  % (29202)------------------------------
% 0.75/0.87  % (29202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.87  % (29202)Termination reason: Unknown
% 0.75/0.87  % (29202)Termination phase: Saturation
% 0.75/0.87  
% 0.75/0.87  % (29202)Memory used [KB]: 3324
% 0.75/0.87  % (29202)Time elapsed: 0.043 s
% 0.75/0.87  % (29202)Instructions burned: 84 (million)
% 0.75/0.87  % (29202)------------------------------
% 0.75/0.87  % (29202)------------------------------
% 0.75/0.87  % (29211)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 (2995ds/117Mi)
% 0.75/0.87  % (29210)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 (2995ds/243Mi)
% 0.75/0.87  % (29205)Instruction limit reached!
% 0.75/0.87  % (29205)------------------------------
% 0.75/0.87  % (29205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.87  % (29205)Termination reason: Unknown
% 0.75/0.87  % (29205)Termination phase: Property scanning
% 0.75/0.87  
% 0.75/0.87  % (29205)Memory used [KB]: 3572
% 0.75/0.87  % (29205)Time elapsed: 0.026 s
% 0.75/0.87  % (29205)Instructions burned: 51 (million)
% 0.75/0.87  % (29205)------------------------------
% 0.75/0.87  % (29205)------------------------------
% 0.75/0.87  % (29204)Instruction limit reached!
% 0.75/0.87  % (29204)------------------------------
% 0.75/0.87  % (29204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.87  % (29204)Termination reason: Unknown
% 0.75/0.87  % (29204)Termination phase: Property scanning
% 0.75/0.87  
% 0.75/0.87  % (29204)Memory used [KB]: 3571
% 0.75/0.87  % (29204)Time elapsed: 0.030 s
% 0.75/0.87  % (29204)Instructions burned: 55 (million)
% 0.75/0.87  % (29204)------------------------------
% 0.75/0.87  % (29204)------------------------------
% 0.75/0.88  % (29212)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 (2994ds/143Mi)
% 0.75/0.88  % (29207)Instruction limit reached!
% 0.75/0.88  % (29207)------------------------------
% 0.75/0.88  % (29207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.88  % (29207)Termination reason: Unknown
% 0.75/0.88  % (29207)Termination phase: Saturation
% 0.75/0.88  
% 0.75/0.88  % (29207)Memory used [KB]: 2826
% 0.75/0.88  % (29207)Time elapsed: 0.028 s
% 0.75/0.88  % (29207)Instructions burned: 52 (million)
% 0.75/0.88  % (29207)------------------------------
% 0.75/0.88  % (29207)------------------------------
% 0.75/0.88  % (29213)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 (2994ds/93Mi)
% 0.75/0.88  % (29209)Instruction limit reached!
% 0.75/0.88  % (29209)------------------------------
% 0.75/0.88  % (29209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.75/0.88  % (29209)Termination reason: Unknown
% 0.75/0.88  % (29209)Termination phase: Property scanning
% 0.75/0.88  
% 0.75/0.88  % (29209)Memory used [KB]: 3571
% 0.75/0.88  % (29209)Time elapsed: 0.024 s
% 0.75/0.88  % (29209)Instructions burned: 44 (million)
% 0.75/0.88  % (29209)------------------------------
% 0.75/0.88  % (29209)------------------------------
% 0.75/0.88  % (29214)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 (2994ds/62Mi)
% 0.75/0.88  % (29215)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 (2994ds/32Mi)
% 0.75/0.89  % (29208)First to succeed.
% 1.02/0.89  % (29208)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29106"
% 1.02/0.89  % (29208)Refutation found. Thanks to Tanya!
% 1.02/0.89  % SZS status Theorem for theBenchmark
% 1.02/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 1.02/0.89  % (29208)------------------------------
% 1.02/0.89  % (29208)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.02/0.89  % (29208)Termination reason: Refutation
% 1.02/0.89  
% 1.02/0.89  % (29208)Memory used [KB]: 2829
% 1.02/0.89  % (29208)Time elapsed: 0.036 s
% 1.02/0.89  % (29208)Instructions burned: 66 (million)
% 1.02/0.89  % (29106)Success in time 0.518 s
% 1.02/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------