TSTP Solution File: SWW234+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW234+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% 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 : Mon Jun 24 18:49:08 EDT 2024

% Result   : Theorem 28.78s 4.54s
% Output   : Refutation 28.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  150 (  43 unt;   0 def)
%            Number of atoms       :  312 (  71 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  263 ( 101   ~; 113   |;  14   &)
%                                         (  17 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  10 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :  148 ( 148   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40138,plain,
    $false,
    inference(avatar_sat_refutation,[],[f7069,f7079,f36541,f36576,f36620,f36655,f36669,f37053,f37610,f40132]) ).

fof(f40132,plain,
    ( ~ spl37_183
    | ~ spl37_366 ),
    inference(avatar_contradiction_clause,[],[f40125]) ).

fof(f40125,plain,
    ( $false
    | ~ spl37_183
    | ~ spl37_366 ),
    inference(resolution,[],[f39309,f3812]) ).

fof(f3812,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(cnf_transformation,[],[f1276]) ).

fof(f1276,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(flattening,[],[f1275]) ).

fof(f1275,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(negated_conjecture,[],[f1274]) ).

fof(f1274,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f39309,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
    | ~ spl37_183
    | ~ spl37_366 ),
    inference(forward_demodulation,[],[f38396,f37653]) ).

fof(f37653,plain,
    ( ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,X0) = X0
    | ~ spl37_183 ),
    inference(superposition,[],[f6692,f23137]) ).

fof(f23137,plain,
    ( v_r____ = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ spl37_183 ),
    inference(avatar_component_clause,[],[f23135]) ).

fof(f23135,plain,
    ( spl37_183
  <=> v_r____ = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_183])]) ).

fof(f6692,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = X0,
    inference(resolution,[],[f4476,f3998]) ).

fof(f3998,plain,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1145]) ).

fof(f1145,axiom,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4476,plain,
    ! [X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(X1)
      | c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
    inference(cnf_transformation,[],[f2551]) ).

fof(f2551,plain,
    ! [X0,X1] :
      ( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0
      | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(ennf_transformation,[],[f1627]) ).

fof(f1627,plain,
    ! [X0,X1] :
      ( class_Rings_Ocomm__semiring__1(X1)
     => c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
    inference(rectify,[],[f77]) ).

fof(f77,axiom,
    ! [X13,X3] :
      ( class_Rings_Ocomm__semiring__1(X3)
     => c_Groups_Oplus__class_Oplus(X3,c_Groups_Ozero__class_Ozero(X3),X13) = X13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f38396,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
    | ~ spl37_366 ),
    inference(forward_demodulation,[],[f38332,f10157]) ).

fof(f10157,plain,
    ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),
    inference(resolution,[],[f5015,f3998]) ).

fof(f5015,plain,
    ! [X2,X0,X1] :
      ( ~ class_Rings_Ocomm__semiring__1(X2)
      | c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
    inference(cnf_transformation,[],[f2924]) ).

fof(f2924,plain,
    ! [X0,X1,X2] :
      ( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
      | ~ class_Rings_Ocomm__semiring__1(X2) ),
    inference(ennf_transformation,[],[f1980]) ).

fof(f1980,plain,
    ! [X0,X1,X2] :
      ( class_Rings_Ocomm__semiring__1(X2)
     => c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
    inference(rectify,[],[f203]) ).

fof(f203,axiom,
    ! [X17,X13,X3] :
      ( class_Rings_Ocomm__semiring__1(X3)
     => c_Groups_Oplus__class_Oplus(X3,X13,X17) = c_Groups_Oplus__class_Oplus(X3,X17,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f38332,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
    | ~ spl37_366 ),
    inference(superposition,[],[f11517,f34976]) ).

fof(f34976,plain,
    ( v_r____ = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)
    | ~ spl37_366 ),
    inference(avatar_component_clause,[],[f34975]) ).

fof(f34975,plain,
    ( spl37_366
  <=> v_r____ = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_366])]) ).

fof(f11517,plain,
    c_Orderings_Oord__class_Oless__eq(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_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(superposition,[],[f4042,f4076]) ).

fof(f4076,plain,
    ! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
    inference(cnf_transformation,[],[f1308]) ).

fof(f1308,plain,
    ! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X14] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X14) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4042,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f37610,plain,
    ( spl37_183
    | ~ spl37_396
    | ~ spl37_184 ),
    inference(avatar_split_clause,[],[f37608,f23139,f36663,f23135]) ).

fof(f36663,plain,
    ( spl37_396
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_396])]) ).

fof(f23139,plain,
    ( spl37_184
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_184])]) ).

fof(f37608,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | v_r____ = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ spl37_184 ),
    inference(resolution,[],[f23140,f4523]) ).

fof(f4523,plain,
    ! [X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f2605]) ).

fof(f2605,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(flattening,[],[f2604]) ).

fof(f2604,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(ennf_transformation,[],[f1670]) ).

fof(f1670,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
       => X0 = X1 ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X5,X6] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X5)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X6)
       => X5 = X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f23140,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)
    | ~ spl37_184 ),
    inference(avatar_component_clause,[],[f23139]) ).

fof(f37053,plain,
    ( spl37_366
    | ~ spl37_183 ),
    inference(avatar_split_clause,[],[f36829,f23135,f34975]) ).

fof(f36829,plain,
    ( v_r____ = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)
    | ~ spl37_183 ),
    inference(superposition,[],[f6534,f23137]) ).

fof(f6534,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(superposition,[],[f6527,f4076]) ).

fof(f6527,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(superposition,[],[f4091,f4038]) ).

fof(f4038,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(cnf_transformation,[],[f649]) ).

fof(f649,axiom,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4091,plain,
    ! [X0] : c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),
    inference(cnf_transformation,[],[f1323]) ).

fof(f1323,plain,
    ! [X0] : c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),
    inference(rectify,[],[f646]) ).

fof(f646,axiom,
    ! [X4] : c_RealDef_Oreal(tc_Nat_Onat,X4) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f36669,plain,
    ( spl37_396
    | ~ spl37_368 ),
    inference(avatar_split_clause,[],[f36644,f35278,f36663]) ).

fof(f35278,plain,
    ( spl37_368
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_368])]) ).

fof(f36644,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ spl37_368 ),
    inference(resolution,[],[f35279,f6385]) ).

fof(f6385,plain,
    ! [X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),X0)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(forward_demodulation,[],[f4658,f4076]) ).

fof(f4658,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0) ),
    inference(cnf_transformation,[],[f3565]) ).

fof(f3565,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) )
      & ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) )
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0) ) ),
    inference(flattening,[],[f3564]) ).

fof(f3564,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) )
      & ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) )
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0) ) ),
    inference(nnf_transformation,[],[f1756]) ).

fof(f1756,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ) ),
    inference(rectify,[],[f384]) ).

fof(f384,axiom,
    ! [X24,X10] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X10),X24)
    <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,X24)
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X24),X10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f35279,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ spl37_368 ),
    inference(avatar_component_clause,[],[f35278]) ).

fof(f36655,plain,
    ( spl37_184
    | ~ spl37_368 ),
    inference(avatar_split_clause,[],[f36654,f35278,f23139]) ).

fof(f36654,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r____)
    | ~ spl37_368 ),
    inference(forward_demodulation,[],[f36641,f6551]) ).

fof(f6551,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(resolution,[],[f4179,f3908]) ).

fof(f3908,plain,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1157]) ).

fof(f1157,axiom,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4179,plain,
    ! [X0] :
      ( ~ class_Groups_Ogroup__add(X0)
      | c_Groups_Ozero__class_Ozero(X0) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) ),
    inference(cnf_transformation,[],[f2379]) ).

fof(f2379,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(X0) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0))
      | ~ class_Groups_Ogroup__add(X0) ),
    inference(ennf_transformation,[],[f1400]) ).

fof(f1400,plain,
    ! [X0] :
      ( class_Groups_Ogroup__add(X0)
     => c_Groups_Ozero__class_Ozero(X0) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ozero__class_Ozero(X0)) ),
    inference(rectify,[],[f247]) ).

fof(f247,axiom,
    ! [X3] :
      ( class_Groups_Ogroup__add(X3)
     => c_Groups_Ozero__class_Ozero(X3) = c_Groups_Ouminus__class_Ouminus(X3,c_Groups_Ozero__class_Ozero(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f36641,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r____)
    | ~ spl37_368 ),
    inference(resolution,[],[f35279,f6386]) ).

fof(f6386,plain,
    ! [X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1),X0)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) ),
    inference(forward_demodulation,[],[f4657,f4076]) ).

fof(f4657,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X0) ),
    inference(cnf_transformation,[],[f3565]) ).

fof(f36620,plain,
    ( spl37_368
    | ~ spl37_8
    | ~ spl37_93 ),
    inference(avatar_split_clause,[],[f36619,f11525,f7067,f35278]) ).

fof(f7067,plain,
    ( spl37_8
  <=> ! [X0] :
        ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
        | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_8])]) ).

fof(f11525,plain,
    ( spl37_93
  <=> c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_93])]) ).

fof(f36619,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ spl37_8
    | ~ spl37_93 ),
    inference(forward_demodulation,[],[f36618,f4038]) ).

fof(f36618,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ spl37_8
    | ~ spl37_93 ),
    inference(forward_demodulation,[],[f36597,f8094]) ).

fof(f8094,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
    | ~ spl37_8 ),
    inference(resolution,[],[f8084,f3812]) ).

fof(f8084,plain,
    ( ! [X0] :
        ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
        | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatfloor(X0) )
    | ~ spl37_8 ),
    inference(resolution,[],[f4244,f7068]) ).

fof(f7068,plain,
    ( ! [X0] :
        ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
        | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 )
    | ~ spl37_8 ),
    inference(avatar_component_clause,[],[f7067]) ).

fof(f4244,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0))
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
    inference(cnf_transformation,[],[f3431]) ).

fof(f3431,plain,
    ! [X0] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0))
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) )
      & ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)
        | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0)) ) ),
    inference(nnf_transformation,[],[f1455]) ).

fof(f1455,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X0))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
    inference(rectify,[],[f632]) ).

fof(f632,axiom,
    ! [X10] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(X10))
    <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f36597,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))))
    | ~ spl37_93 ),
    inference(superposition,[],[f11973,f11527]) ).

fof(f11527,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))
    | ~ spl37_93 ),
    inference(avatar_component_clause,[],[f11525]) ).

fof(f11973,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)))),
    inference(superposition,[],[f7960,f10172]) ).

fof(f10172,plain,
    ! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),X1) = X0,
    inference(superposition,[],[f9900,f10157]) ).

fof(f9900,plain,
    ! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),X1) = X0,
    inference(resolution,[],[f4971,f3908]) ).

fof(f4971,plain,
    ! [X2,X0,X1] :
      ( ~ class_Groups_Ogroup__add(X2)
      | c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1 ),
    inference(cnf_transformation,[],[f2875]) ).

fof(f2875,plain,
    ! [X0,X1,X2] :
      ( c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1
      | ~ class_Groups_Ogroup__add(X2) ),
    inference(ennf_transformation,[],[f1946]) ).

fof(f1946,plain,
    ! [X0,X1,X2] :
      ( class_Groups_Ogroup__add(X2)
     => c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1 ),
    inference(rectify,[],[f124]) ).

fof(f124,axiom,
    ! [X15,X13,X3] :
      ( class_Groups_Ogroup__add(X3)
     => c_Groups_Ominus__class_Ominus(X3,c_Groups_Oplus__class_Oplus(X3,X13,X15),X15) = X13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7960,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0))),
    inference(resolution,[],[f4105,f4613]) ).

fof(f4613,plain,
    ! [X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f3528]) ).

fof(f3528,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
      & ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(flattening,[],[f3527]) ).

fof(f3527,plain,
    ! [X0,X1] :
      ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
      & ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
    inference(nnf_transformation,[],[f1738]) ).

fof(f1738,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
    <=> ( X0 != X1
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
    inference(rectify,[],[f156]) ).

fof(f156,axiom,
    ! [X20,X10] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10,X20)
    <=> ( X10 != X20
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,X20) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4105,plain,
    ! [X0] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0))),
    inference(cnf_transformation,[],[f1337]) ).

fof(f1337,plain,
    ! [X0] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0))),
    inference(rectify,[],[f674]) ).

fof(f674,axiom,
    ! [X4] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X4,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f36576,plain,
    ( spl37_93
    | ~ spl37_92 ),
    inference(avatar_split_clause,[],[f36444,f11521,f11525]) ).

fof(f11521,plain,
    ( spl37_92
  <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_92])]) ).

fof(f36444,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))
    | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)) ),
    inference(resolution,[],[f11517,f4523]) ).

fof(f36541,plain,
    ( spl37_368
    | ~ spl37_8
    | spl37_92 ),
    inference(avatar_split_clause,[],[f36540,f11521,f7067,f35278]) ).

fof(f36540,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
    | ~ spl37_8
    | spl37_92 ),
    inference(forward_demodulation,[],[f36476,f4038]) ).

fof(f36476,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    | ~ spl37_8
    | spl37_92 ),
    inference(superposition,[],[f11973,f36461]) ).

fof(f36461,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))
    | ~ spl37_8
    | spl37_92 ),
    inference(resolution,[],[f36451,f8084]) ).

fof(f36451,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(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_RealDef_Oreal,v_r____)))
    | spl37_92 ),
    inference(resolution,[],[f11523,f24672]) ).

fof(f24672,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
    inference(resolution,[],[f5085,f6481]) ).

fof(f6481,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
    inference(resolution,[],[f4310,f3812]) ).

fof(f4310,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(cnf_transformation,[],[f1510]) ).

fof(f1510,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X5,X6] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X6)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5085,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ),
    inference(cnf_transformation,[],[f3007]) ).

fof(f3007,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(flattening,[],[f3006]) ).

fof(f3006,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(ennf_transformation,[],[f2034]) ).

fof(f2034,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X7,X8,X9] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X8)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X7)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f11523,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))
    | spl37_92 ),
    inference(avatar_component_clause,[],[f11521]) ).

fof(f7079,plain,
    ~ spl37_7,
    inference(avatar_contradiction_clause,[],[f7078]) ).

fof(f7078,plain,
    ( $false
    | ~ spl37_7 ),
    inference(resolution,[],[f7065,f5861]) ).

fof(f5861,plain,
    ~ class_Orderings_Olinorder(tc_Nat_Onat),
    inference(consistent_polarity_flipping,[],[f3898]) ).

fof(f3898,plain,
    class_Orderings_Olinorder(tc_Nat_Onat),
    inference(cnf_transformation,[],[f1092]) ).

fof(f1092,axiom,
    class_Orderings_Olinorder(tc_Nat_Onat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f7065,plain,
    ( class_Orderings_Olinorder(tc_Nat_Onat)
    | ~ spl37_7 ),
    inference(avatar_component_clause,[],[f7063]) ).

fof(f7063,plain,
    ( spl37_7
  <=> class_Orderings_Olinorder(tc_Nat_Onat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl37_7])]) ).

fof(f7069,plain,
    ( spl37_7
    | spl37_8 ),
    inference(avatar_split_clause,[],[f7037,f7067,f7063]) ).

fof(f7037,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)
      | class_Orderings_Olinorder(tc_Nat_Onat)
      | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ),
    inference(resolution,[],[f6155,f6349]) ).

fof(f6349,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))
      | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ),
    inference(forward_demodulation,[],[f5516,f5488]) ).

fof(f5488,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(definition_unfolding,[],[f4029,f4086]) ).

fof(f4086,plain,
    ! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
    inference(cnf_transformation,[],[f1318]) ).

fof(f1318,plain,
    ! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0),
    inference(rectify,[],[f906]) ).

fof(f906,axiom,
    ! [X45] : c_Nat_OSuc(X45) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4029,plain,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(cnf_transformation,[],[f899]) ).

fof(f899,axiom,
    c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5516,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(definition_unfolding,[],[f4242,f4086]) ).

fof(f4242,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
      | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ),
    inference(cnf_transformation,[],[f3430]) ).

fof(f3430,plain,
    ! [X0] :
      ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
        | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 )
      & ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
        | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ),
    inference(nnf_transformation,[],[f1454]) ).

fof(f1454,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ),
    inference(rectify,[],[f947]) ).

fof(f947,axiom,
    ! [X56] :
      ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X56,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X56 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6155,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | class_Orderings_Olinorder(X2) ),
    inference(consistent_polarity_flipping,[],[f4916]) ).

fof(f4916,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(cnf_transformation,[],[f2821]) ).

fof(f2821,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f2820]) ).

fof(f2820,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless(X2,X0,X1)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f1910]) ).

fof(f1910,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( c_Orderings_Oord__class_Oless(X2,X0,X1)
        | c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ),
    inference(rectify,[],[f128]) ).

fof(f128,axiom,
    ! [X12,X4,X3] :
      ( class_Orderings_Olinorder(X3)
     => ( c_Orderings_Oord__class_Oless(X3,X12,X4)
        | c_Orderings_Oord__class_Oless__eq(X3,X4,X12) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW234+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13  % Command    : run_vampire %s %d SAT
% 0.13/0.34  % Computer : n015.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   : Wed Jun 19 08:35:54 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  Running first-order model finding
% 0.13/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (5760)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.48  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (5765)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.48  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (5764)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.48  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (5763)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.48  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (5766)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.48  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (5761)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.48  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (5762)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.54  % (5764)Instruction limit reached!
% 0.21/0.54  % (5764)------------------------------
% 0.21/0.54  % (5764)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54  % (5764)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54  % (5764)Termination reason: Time limit
% 0.21/0.54  % (5764)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (5764)Memory used [KB]: 3679
% 0.21/0.54  % (5764)Time elapsed: 0.056 s
% 0.21/0.54  % (5764)Instructions burned: 104 (million)
% 0.21/0.54  % (5766)Instruction limit reached!
% 0.21/0.54  % (5766)------------------------------
% 0.21/0.54  % (5766)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54  % (5766)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54  % (5766)Termination reason: Time limit
% 0.21/0.54  % (5766)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (5766)Memory used [KB]: 3680
% 0.21/0.54  % (5766)Time elapsed: 0.058 s
% 0.21/0.54  % (5766)Instructions burned: 116 (million)
% 0.21/0.56  % (5765)Instruction limit reached!
% 0.21/0.56  % (5765)------------------------------
% 0.21/0.56  % (5765)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.56  % (5765)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.56  % (5765)Termination reason: Time limit
% 0.21/0.56  % (5765)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (5765)Memory used [KB]: 4007
% 0.21/0.56  % (5765)Time elapsed: 0.077 s
% 0.21/0.56  % (5765)Instructions burned: 146 (million)
% 0.21/0.60  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.60  % (5767)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.21/0.60  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.60  % (5768)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.62  % (5759)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.62  % (5769)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.21/0.69  % (5768)Instruction limit reached!
% 0.21/0.69  % (5768)------------------------------
% 0.21/0.69  % (5768)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.69  % (5768)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.69  % (5768)Termination reason: Time limit
% 0.21/0.69  % (5768)Termination phase: Saturation
% 0.21/0.69  
% 0.21/0.69  % (5768)Memory used [KB]: 4485
% 0.21/0.69  % (5768)Time elapsed: 0.090 s
% 0.21/0.69  % (5768)Instructions burned: 175 (million)
% 2.31/0.75  % (5759)Running in auto input_syntax mode. Trying TPTP
% 2.31/0.75  % (5770)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.31/0.76  % (5769)Instruction limit reached!
% 2.31/0.76  % (5769)------------------------------
% 2.31/0.76  % (5769)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.31/0.76  % (5769)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.31/0.76  % (5769)Termination reason: Time limit
% 2.31/0.76  % (5769)Termination phase: Saturation
% 2.31/0.76  
% 2.31/0.76  % (5769)Memory used [KB]: 5943
% 2.31/0.76  % (5769)Time elapsed: 0.145 s
% 2.31/0.76  % (5769)Instructions burned: 270 (million)
% 2.31/0.78  Cannot represent all propositional literals internally
% 2.31/0.78  % (5763)Refutation not found, incomplete strategy% (5763)------------------------------
% 2.31/0.78  % (5763)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.31/0.78  % (5763)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.31/0.78  % (5763)Termination reason: Refutation not found, incomplete strategy
% 2.31/0.78  
% 2.31/0.78  % (5763)Memory used [KB]: 13462
% 2.31/0.78  % (5763)Time elapsed: 0.297 s
% 2.31/0.78  % (5763)Instructions burned: 634 (million)
% 2.31/0.78  % (5763)------------------------------
% 2.31/0.78  % (5763)------------------------------
% 2.31/0.80  TRYING [1]
% 2.75/0.82  % (5759)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.82  % (5771)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 2.75/0.83  % (5767)Instruction limit reached!
% 2.75/0.83  % (5767)------------------------------
% 2.75/0.83  % (5767)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.75/0.83  % (5767)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.75/0.83  % (5767)Termination reason: Time limit
% 2.75/0.83  % (5767)Termination phase: Saturation
% 2.75/0.83  
% 2.75/0.83  % (5767)Memory used [KB]: 6190
% 2.75/0.83  % (5767)Time elapsed: 0.228 s
% 2.75/0.83  % (5767)Instructions burned: 405 (million)
% 2.75/0.84  % (5759)Running in auto input_syntax mode. Trying TPTP
% 2.75/0.84  % (5772)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.75/0.85  TRYING [2]
% 2.95/0.88  % (5759)Running in auto input_syntax mode. Trying TPTP
% 2.95/0.88  % (5773)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2995ds/1187Mi)
% 3.41/1.09  TRYING [1]
% 3.66/1.12  TRYING [2]
% 3.86/1.23  % (5770)Instruction limit reached!
% 3.86/1.23  % (5770)------------------------------
% 3.86/1.23  % (5770)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.86/1.23  % (5770)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.86/1.23  % (5770)Termination reason: Time limit
% 3.86/1.23  % (5770)Termination phase: Saturation
% 3.86/1.23  
% 3.86/1.23  % (5770)Memory used [KB]: 10333
% 3.86/1.23  % (5770)Time elapsed: 0.482 s
% 3.86/1.23  % (5770)Instructions burned: 900 (million)
% 6.10/1.29  % (5759)Running in auto input_syntax mode. Trying TPTP
% 6.10/1.29  % (5774)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2991ds/23580Mi)
% 7.44/1.51  % (5773)Instruction limit reached!
% 7.44/1.51  % (5773)------------------------------
% 7.44/1.51  % (5773)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.44/1.51  % (5773)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.44/1.51  % (5773)Termination reason: Time limit
% 7.44/1.51  % (5773)Termination phase: Saturation
% 7.44/1.51  
% 7.44/1.51  % (5773)Memory used [KB]: 8089
% 7.44/1.51  % (5773)Time elapsed: 0.624 s
% 7.44/1.51  % (5773)Instructions burned: 1187 (million)
% 7.44/1.52  TRYING [3]
% 8.09/1.56  % (5759)Running in auto input_syntax mode. Trying TPTP
% 8.09/1.56  % (5775)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2989ds/2892Mi)
% 8.09/1.58  TRYING [1]
% 8.09/1.58  TRYING [3]
% 8.27/1.62  TRYING [2]
% 10.68/1.96  % (5772)Instruction limit reached!
% 10.68/1.96  % (5772)------------------------------
% 10.68/1.96  % (5772)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.68/1.96  % (5772)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.68/1.96  % (5772)Termination reason: Time limit
% 10.68/1.96  % (5772)Termination phase: Saturation
% 10.68/1.96  
% 10.68/1.96  % (5772)Memory used [KB]: 18171
% 10.68/1.96  % (5772)Time elapsed: 1.111 s
% 10.68/1.96  % (5772)Instructions burned: 2145 (million)
% 10.68/2.02  % (5759)Running in auto input_syntax mode. Trying TPTP
% 10.68/2.02  % (5776)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2984ds/1693Mi)
% 14.02/2.47  TRYING [3]
% 16.02/2.75  % (5775)Instruction limit reached!
% 16.02/2.75  % (5775)------------------------------
% 16.02/2.75  % (5775)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.02/2.75  % (5775)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.02/2.75  % (5775)Termination reason: Time limit
% 16.02/2.75  % (5775)Termination phase: Finite model building constraint generation
% 16.02/2.75  
% 16.02/2.75  % (5775)Memory used [KB]: 13977
% 16.02/2.75  % (5775)Time elapsed: 1.190 s
% 16.02/2.75  % (5775)Instructions burned: 2893 (million)
% 16.84/2.84  % (5759)Running in auto input_syntax mode. Trying TPTP
% 16.84/2.84  % (5777)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2976ds/1735Mi)
% 16.84/2.90  % (5776)Instruction limit reached!
% 16.84/2.90  % (5776)------------------------------
% 16.84/2.90  % (5776)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.84/2.90  % (5776)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.84/2.90  % (5776)Termination reason: Time limit
% 16.84/2.90  % (5776)Termination phase: Saturation
% 16.84/2.90  
% 16.84/2.90  % (5776)Memory used [KB]: 10860
% 16.84/2.90  % (5776)Time elapsed: 0.881 s
% 16.84/2.90  % (5776)Instructions burned: 1694 (million)
% 17.63/2.96  % (5759)Running in auto input_syntax mode. Trying TPTP
% 17.63/2.96  % (5778)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2975ds/131798Mi)
% 21.02/3.48  TRYING [4,4,4]
% 23.94/3.85  % (5777)Instruction limit reached!
% 23.94/3.85  % (5777)------------------------------
% 23.94/3.85  % (5777)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.94/3.85  % (5777)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.94/3.85  % (5777)Termination reason: Time limit
% 23.94/3.85  % (5777)Termination phase: Saturation
% 23.94/3.85  
% 23.94/3.85  % (5777)Memory used [KB]: 27056
% 23.94/3.85  % (5777)Time elapsed: 1.017 s
% 23.94/3.85  % (5777)Instructions burned: 1736 (million)
% 23.94/3.87  % (5771)Instruction limit reached!
% 23.94/3.87  % (5771)------------------------------
% 23.94/3.87  % (5771)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.94/3.87  % (5771)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.94/3.87  % (5771)Termination reason: Time limit
% 23.94/3.87  % (5771)Termination phase: Finite model building SAT solving
% 23.94/3.87  
% 23.94/3.87  % (5771)Memory used [KB]: 55395
% 23.94/3.87  % (5771)Time elapsed: 3.053 s
% 23.94/3.87  % (5771)Instructions burned: 7861 (million)
% 24.44/3.92  % (5759)Running in auto input_syntax mode. Trying TPTP
% 24.44/3.92  % (5779)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2965ds/3451Mi)
% 24.44/3.94  % (5759)Running in auto input_syntax mode. Trying TPTP
% 24.44/3.94  % (5780)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2965ds/3978Mi)
% 26.82/4.40  TRYING [4]
% 28.78/4.53  % (5780)First to succeed.
% 28.78/4.53  % (5780)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5759"
% 28.78/4.54  % (5759)Running in auto input_syntax mode. Trying TPTP
% 28.78/4.54  % (5780)Refutation found. Thanks to Tanya!
% 28.78/4.54  % SZS status Theorem for theBenchmark
% 28.78/4.54  % SZS output start Proof for theBenchmark
% See solution above
% 28.78/4.54  % (5780)------------------------------
% 28.78/4.54  % (5780)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.78/4.54  % (5780)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.78/4.54  % (5780)Termination reason: Refutation
% 28.78/4.54  
% 28.78/4.54  % (5780)Memory used [KB]: 10809
% 28.78/4.54  % (5780)Time elapsed: 0.592 s
% 28.78/4.54  % (5780)Instructions burned: 1106 (million)
% 28.78/4.54  % (5780)------------------------------
% 28.78/4.54  % (5780)------------------------------
% 28.78/4.54  % (5759)Success in time 4.106 s
%------------------------------------------------------------------------------