TSTP Solution File: SWW180+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW180+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n028.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 18:31:28 EDT 2024

% Result   : Theorem 2.45s 0.79s
% Output   : Refutation 2.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   53 (  16 unt;   0 def)
%            Number of atoms       :  124 (   7 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  120 (  49   ~;  47   |;   4   &)
%                                         (   4 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   68 (  68   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6069,plain,
    $false,
    inference(avatar_sat_refutation,[],[f5921,f5978,f6061]) ).

fof(f6061,plain,
    spl39_2,
    inference(avatar_contradiction_clause,[],[f6060]) ).

fof(f6060,plain,
    ( $false
    | spl39_2 ),
    inference(subsumption_resolution,[],[f6050,f3884]) ).

fof(f3884,plain,
    class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1119]) ).

fof(f1119,axiom,
    class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6050,plain,
    ( ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
    | spl39_2 ),
    inference(resolution,[],[f5920,f4409]) ).

fof(f4409,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(X1,X0,c_Groups_Oabs__class_Oabs(X1,X0))
      | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(cnf_transformation,[],[f2470]) ).

fof(f2470,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(X1,X0,c_Groups_Oabs__class_Oabs(X1,X0))
      | ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
    inference(ennf_transformation,[],[f1545]) ).

fof(f1545,plain,
    ! [X0,X1] :
      ( class_Groups_Oordered__ab__group__add__abs(X1)
     => c_Orderings_Oord__class_Oless__eq(X1,X0,c_Groups_Oabs__class_Oabs(X1,X0)) ),
    inference(rectify,[],[f182]) ).

fof(f182,axiom,
    ! [X8,X5] :
      ( class_Groups_Oordered__ab__group__add__abs(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,X8,c_Groups_Oabs__class_Oabs(X5,X8)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5920,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
    | spl39_2 ),
    inference(avatar_component_clause,[],[f5918]) ).

fof(f5918,plain,
    ( spl39_2
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_2])]) ).

fof(f5978,plain,
    spl39_1,
    inference(avatar_contradiction_clause,[],[f5977]) ).

fof(f5977,plain,
    ( $false
    | spl39_1 ),
    inference(subsumption_resolution,[],[f5973,f3951]) ).

fof(f3951,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1134]) ).

fof(f1134,axiom,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5973,plain,
    ( ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
    | spl39_1 ),
    inference(resolution,[],[f5972,f4219]) ).

fof(f4219,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
      | ~ class_Rings_Olinordered__semidom(X0) ),
    inference(cnf_transformation,[],[f2386]) ).

fof(f2386,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
      | ~ class_Rings_Olinordered__semidom(X0) ),
    inference(ennf_transformation,[],[f1402]) ).

fof(f1402,plain,
    ! [X0] :
      ( class_Rings_Olinordered__semidom(X0)
     => c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
    inference(rectify,[],[f261]) ).

fof(f261,axiom,
    ! [X5] :
      ( class_Rings_Olinordered__semidom(X5)
     => c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oone__class_Oone(X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5972,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | spl39_1 ),
    inference(subsumption_resolution,[],[f5971,f3933]) ).

fof(f3933,plain,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1121]) ).

fof(f1121,axiom,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5971,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
    | spl39_1 ),
    inference(subsumption_resolution,[],[f5958,f5743]) ).

fof(f5743,plain,
    ! [X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
    inference(equality_resolution,[],[f4677]) ).

fof(f4677,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f3584]) ).

fof(f3584,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( X0 != X1
          & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
      & ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(flattening,[],[f3583]) ).

fof(f3583,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ( X0 != X1
          & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
      & ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(nnf_transformation,[],[f1746]) ).

fof(f1746,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
    <=> ( X0 = X1
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(rectify,[],[f217]) ).

fof(f217,axiom,
    ! [X11,X12] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X11)
    <=> ( X11 = X12
        | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X12,X11) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5958,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
    | spl39_1 ),
    inference(resolution,[],[f5916,f5344]) ).

fof(f5344,plain,
    ! [X2,X3,X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(cnf_transformation,[],[f3189]) ).

fof(f3189,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(flattening,[],[f3188]) ).

fof(f3188,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(ennf_transformation,[],[f2156]) ).

fof(f2156,plain,
    ! [X0,X1,X2,X3] :
      ( class_Groups_Oordered__comm__monoid__add(X3)
     => ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
       => ( c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
         => c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0)) ) ) ),
    inference(rectify,[],[f107]) ).

fof(f107,axiom,
    ! [X14,X7,X8,X5] :
      ( class_Groups_Oordered__comm__monoid__add(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X8)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X7,X14)
         => c_Orderings_Oord__class_Oless__eq(X5,X7,c_Groups_Oplus__class_Oplus(X5,X8,X14)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5916,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
    | spl39_1 ),
    inference(avatar_component_clause,[],[f5914]) ).

fof(f5914,plain,
    ( spl39_1
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl39_1])]) ).

fof(f5921,plain,
    ( ~ spl39_1
    | ~ spl39_2 ),
    inference(avatar_split_clause,[],[f5912,f5918,f5914]) ).

fof(f5912,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))) ),
    inference(subsumption_resolution,[],[f5892,f3909]) ).

fof(f3909,plain,
    class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1118]) ).

fof(f1118,axiom,
    class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5892,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
    | ~ class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(resolution,[],[f3851,f5478]) ).

fof(f5478,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
      | ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
    inference(cnf_transformation,[],[f3374]) ).

fof(f3374,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
      | ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
    inference(flattening,[],[f3373]) ).

fof(f3373,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
      | ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
    inference(ennf_transformation,[],[f2273]) ).

fof(f2273,plain,
    ! [X0,X1,X2,X3,X4] :
      ( class_Groups_Oordered__ab__semigroup__add(X4)
     => ( c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
       => ( c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
         => c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0)) ) ) ),
    inference(rectify,[],[f161]) ).

fof(f161,axiom,
    ! [X16,X14,X7,X8,X5] :
      ( class_Groups_Oordered__ab__semigroup__add(X5)
     => ( c_Orderings_Oord__class_Oless__eq(X5,X8,X7)
       => ( c_Orderings_Oord__class_Oless__eq(X5,X14,X16)
         => c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X8,X14),c_Groups_Oplus__class_Oplus(X5,X7,X16)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f3851,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(cnf_transformation,[],[f1277]) ).

fof(f1277,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(flattening,[],[f1276]) ).

fof(f1276,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    inference(negated_conjecture,[],[f1275]) ).

fof(f1275,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWW180+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 07:38:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  % (21776)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47  % (21783)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)
% 0.21/0.47  % (21776)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47  % (21777)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.21/0.48  % (21776)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (21779)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.21/0.48  % (21776)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (21780)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.21/0.48  % (21776)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (21781)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.21/0.48  % (21776)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (21782)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.21/0.50  % (21776)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50  % (21778)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)
% 1.50/0.62  % (21781)Instruction limit reached!
% 1.50/0.62  % (21781)------------------------------
% 1.50/0.62  % (21781)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.50/0.62  % (21781)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.50/0.62  % (21781)Termination reason: Time limit
% 1.50/0.62  % (21781)Termination phase: Saturation
% 1.50/0.62  
% 1.50/0.62  % (21781)Memory used [KB]: 3422
% 1.50/0.62  % (21781)Time elapsed: 0.142 s
% 1.50/0.62  % (21781)Instructions burned: 251 (million)
% 1.61/0.64  % (21783)Instruction limit reached!
% 1.61/0.64  % (21783)------------------------------
% 1.61/0.64  % (21783)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.61/0.64  % (21783)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.61/0.64  % (21783)Termination reason: Time limit
% 1.61/0.64  % (21783)Termination phase: Saturation
% 1.61/0.64  
% 1.61/0.64  % (21783)Memory used [KB]: 5325
% 1.61/0.64  % (21783)Time elapsed: 0.175 s
% 1.61/0.64  % (21783)Instructions burned: 282 (million)
% 1.61/0.66  % (21782)Instruction limit reached!
% 1.61/0.66  % (21782)------------------------------
% 1.61/0.66  % (21782)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.61/0.66  % (21782)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.61/0.66  % (21782)Termination reason: Time limit
% 1.61/0.66  % (21782)Termination phase: Saturation
% 1.61/0.66  
% 1.61/0.66  % (21782)Memory used [KB]: 4290
% 1.61/0.66  % (21782)Time elapsed: 0.180 s
% 1.61/0.66  % (21782)Instructions burned: 346 (million)
% 1.61/0.68  % (21776)Running in auto input_syntax mode. Trying TPTP
% 1.61/0.68  % (21784)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 (2997ds/125Mi)
% 1.61/0.71  % (21776)Running in auto input_syntax mode. Trying TPTP
% 1.61/0.71  % (21785)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 2.04/0.72  % (21776)Running in auto input_syntax mode. Trying TPTP
% 2.04/0.72  % (21786)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)
% 2.04/0.74  % (21784)Instruction limit reached!
% 2.04/0.74  % (21784)------------------------------
% 2.04/0.74  % (21784)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.04/0.75  % (21784)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.04/0.75  % (21784)Termination reason: Time limit
% 2.04/0.75  % (21784)Termination phase: Saturation
% 2.04/0.75  
% 2.04/0.75  % (21784)Memory used [KB]: 3566
% 2.04/0.75  % (21784)Time elapsed: 0.065 s
% 2.04/0.75  % (21784)Instructions burned: 125 (million)
% 2.45/0.79  % (21785)First to succeed.
% 2.45/0.79  % (21785)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21776"
% 2.45/0.79  % (21776)Running in auto input_syntax mode. Trying TPTP
% 2.45/0.79  % (21785)Refutation found. Thanks to Tanya!
% 2.45/0.79  % SZS status Theorem for theBenchmark
% 2.45/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.79  % (21785)------------------------------
% 2.45/0.79  % (21785)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.45/0.79  % (21785)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.45/0.79  % (21785)Termination reason: Refutation
% 2.45/0.79  
% 2.45/0.79  % (21785)Memory used [KB]: 4514
% 2.45/0.79  % (21785)Time elapsed: 0.078 s
% 2.45/0.79  % (21785)Instructions burned: 120 (million)
% 2.45/0.79  % (21785)------------------------------
% 2.45/0.79  % (21785)------------------------------
% 2.45/0.79  % (21776)Success in time 0.375 s
%------------------------------------------------------------------------------