TSTP Solution File: SWW181+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW181+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:18:33 EDT 2022

% Result   : Theorem 3.70s 1.02s
% Output   : Refutation 3.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   59 (  29 unt;   0 def)
%            Number of atoms       :  115 (  38 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   99 (  43   ~;  30   |;  16   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;   7 con; 0-3 aty)
%            Number of variables   :   58 (  53   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8259,plain,
    $false,
    inference(subsumption_resolution,[],[f8244,f6866]) ).

fof(f6866,plain,
    ! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(forward_demodulation,[],[f4957,f6403]) ).

fof(f6403,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(equality_resolution,[],[f4926]) ).

fof(f4926,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,X0)
      | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 ),
    inference(cnf_transformation,[],[f3708]) ).

fof(f3708,plain,
    ! [X0] :
      ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,X0)
        | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 )
      & ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0
        | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_RealDef_Oreal(tc_Nat_Onat,X0) ) ),
    inference(nnf_transformation,[],[f1503]) ).

fof(f1503,plain,
    ! [X0] :
      ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,X0)
    <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ),
    inference(rectify,[],[f840]) ).

fof(f840,axiom,
    ! [X53] :
      ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X53
    <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,X53) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__zero__iff) ).

fof(f4957,plain,
    ! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(cnf_transformation,[],[f2286]) ).

fof(f2286,plain,
    ! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(rectify,[],[f838]) ).

fof(f838,axiom,
    ! [X39] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X39),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__real__of__nat__less__zero) ).

fof(f8244,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(backward_demodulation,[],[f6775,f8242]) ).

fof(f8242,plain,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r))),
    inference(subsumption_resolution,[],[f8241,f8056]) ).

fof(f8056,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK43(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r))))),v_r),
    inference(resolution,[],[f6775,f6569]) ).

fof(f6569,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK43(X0)),v_r) ),
    inference(backward_demodulation,[],[f5824,f6403]) ).

fof(f5824,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK43(X0)),v_r)
      | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
    inference(cnf_transformation,[],[f4276]) ).

fof(f4276,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
      | ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK43(X0)),v_r)
        & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK43(X0))),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f2617,f4275]) ).

fof(f4275,plain,
    ! [X0] :
      ( ? [X1] :
          ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
          & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1)),X0) )
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK43(X0)),v_r)
        & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK43(X0))),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f2617,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
      | ? [X1] :
          ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
          & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1)),X0) ) ),
    inference(ennf_transformation,[],[f2302]) ).

fof(f2302,plain,
    ~ ? [X0] :
        ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
        & ! [X1] :
            ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),v_r)
           => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X1)),X0) ) ),
    inference(rectify,[],[f1274]) ).

fof(f1274,negated_conjecture,
    ~ ? [X4] :
        ( ! [X3] :
            ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3),v_r)
           => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X3)),X4) )
        & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4) ),
    inference(negated_conjecture,[],[f1273]) ).

fof(f1273,conjecture,
    ? [X4] :
      ( ! [X3] :
          ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3),v_r)
         => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X3)),X4) )
      & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f8241,plain,
    ( c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK43(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r))))),v_r) ),
    inference(subsumption_resolution,[],[f8211,f8064]) ).

fof(f8064,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r)))),
    inference(resolution,[],[f6775,f4745]) ).

fof(f4745,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,[],[f3604]) ).

fof(f3604,plain,
    ! [X0,X1] :
      ( ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) )
      & ( 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,[],[f3603]) ).

fof(f3603,plain,
    ! [X1,X0] :
      ( ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ) ),
    inference(flattening,[],[f3602]) ).

fof(f3602,plain,
    ! [X1,X0] :
      ( ( ( X0 != X1
          & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) )
        | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) )
      & ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
        | X0 = X1
        | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ) ),
    inference(nnf_transformation,[],[f1776]) ).

fof(f1776,plain,
    ! [X1,X0] :
      ( ( X0 != X1
        & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) )
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X5,X10] :
      ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X10)
        & X5 != X10 )
    <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).

fof(f8211,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r))))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sK43(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r))))),v_r)
    | c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r))) ),
    inference(resolution,[],[f6881,f6774]) ).

fof(f6774,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r) ),
    inference(backward_demodulation,[],[f6626,f6745]) ).

fof(f6745,plain,
    c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
    inference(backward_demodulation,[],[f6326,f5821]) ).

fof(f5821,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
    inference(cnf_transformation,[],[f1358]) ).

fof(f1358,plain,
    ! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
    inference(rectify,[],[f462]) ).

fof(f462,axiom,
    ! [X40] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X40,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X40,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).

fof(f6326,plain,
    c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealDef_Oreal(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,[],[f5900,f5166]) ).

fof(f5166,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,[],[f2132]) ).

fof(f2132,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,[],[f768]) ).

fof(f768,axiom,
    ! [X39] : c_Nat_OSuc(X39) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).

fof(f5900,plain,
    c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    inference(cnf_transformation,[],[f844]) ).

fof(f844,axiom,
    c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__one) ).

fof(f6626,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X0)),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_m____),v_r))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r) ),
    inference(backward_demodulation,[],[f4867,f6084]) ).

fof(f6084,plain,
    ! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),
    inference(cnf_transformation,[],[f4431]) ).

fof(f4431,plain,
    ! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),
    inference(rectify,[],[f1736]) ).

fof(f1736,plain,
    ! [X1,X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),
    inference(rectify,[],[f97]) ).

fof(f97,axiom,
    ! [X17,X13] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X13),X17) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X17),X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).

fof(f4867,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X0)),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,[],[f3072]) ).

fof(f3072,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X0)),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____))))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r) ),
    inference(ennf_transformation,[],[f2192]) ).

fof(f2192,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),v_r)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X0)),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(rectify,[],[f82]) ).

fof(f82,axiom,
    ! [X23] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X23),v_r)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),X23)),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',fact__096_B_Bz_O_Acmod_Az_A_060_061_Ar_A_061_061_062_Acmod_A_Ipoly_A_IpCons_Ac_Acs_J_Az_J_A_060_061_A1_A_L_Acmod_Ac_A_L_Aabs_A_Ir_A_K_Am_J_096) ).

fof(f6881,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK43(X0))),X0)
      | c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) ),
    inference(resolution,[],[f4744,f6586]) ).

fof(f6586,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK43(X0))),X0) ),
    inference(forward_demodulation,[],[f5823,f6403]) ).

fof(f5823,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),sK43(X0))),X0) ),
    inference(cnf_transformation,[],[f4276]) ).

fof(f4744,plain,
    ! [X0,X1] :
      ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f3604]) ).

fof(f6775,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),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_m____),v_r)))),
    inference(backward_demodulation,[],[f6627,f6745]) ).

fof(f6627,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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_m____),v_r)))),
    inference(backward_demodulation,[],[f6578,f6084]) ).

fof(f6578,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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(forward_demodulation,[],[f4991,f6403]) ).

fof(f4991,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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,[],[f87]) ).

fof(f87,axiom,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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',fact_kp) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW181+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 20:23:04 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.56  % (3166)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.57  % (3153)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.63  % (3145)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.33/0.63  % (3153)Instruction limit reached!
% 1.33/0.63  % (3153)------------------------------
% 1.33/0.63  % (3153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.63  % (3153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.63  % (3153)Termination reason: Unknown
% 1.33/0.63  % (3153)Termination phase: Property scanning
% 1.33/0.63  
% 1.33/0.63  % (3153)Memory used [KB]: 4477
% 1.33/0.63  % (3153)Time elapsed: 0.066 s
% 1.33/0.63  % (3153)Instructions burned: 50 (million)
% 1.33/0.63  % (3153)------------------------------
% 1.33/0.63  % (3153)------------------------------
% 1.71/0.64  % (3149)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.65  % (3148)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.71/0.65  % (3146)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.66  % (3158)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.71/0.66  % (3151)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.71/0.66  % (3151)Instruction limit reached!
% 1.71/0.66  % (3151)------------------------------
% 1.71/0.66  % (3151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.66  % (3151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.66  % (3151)Termination reason: Unknown
% 1.71/0.66  % (3151)Termination phase: shuffling
% 1.71/0.66  
% 1.71/0.66  % (3151)Memory used [KB]: 2046
% 1.71/0.66  % (3151)Time elapsed: 0.003 s
% 1.71/0.66  % (3151)Instructions burned: 2 (million)
% 1.71/0.66  % (3151)------------------------------
% 1.71/0.66  % (3151)------------------------------
% 1.71/0.66  % (3147)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.96/0.67  % (3162)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.68  % (3154)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.68  % (3143)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.96/0.68  % (3144)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.96/0.68  % (3164)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.96/0.68  % (3160)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.96/0.69  % (3172)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.96/0.69  % (3171)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.96/0.69  % (3168)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.96/0.69  % (3163)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.96/0.69  % (3169)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.96/0.70  % (3155)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.96/0.70  % (3157)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.96/0.70  % (3161)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.96/0.70  % (3156)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.71  % (3150)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.96/0.71  % (3165)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.96/0.71  % (3150)Instruction limit reached!
% 1.96/0.71  % (3150)------------------------------
% 1.96/0.71  % (3150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.71  % (3150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.71  % (3150)Termination reason: Unknown
% 1.96/0.71  % (3150)Termination phase: Preprocessing 1
% 1.96/0.71  
% 1.96/0.71  % (3150)Memory used [KB]: 2430
% 1.96/0.71  % (3150)Time elapsed: 0.008 s
% 1.96/0.71  % (3150)Instructions burned: 8 (million)
% 1.96/0.71  % (3150)------------------------------
% 1.96/0.71  % (3150)------------------------------
% 1.96/0.72  % (3145)Instruction limit reached!
% 1.96/0.72  % (3145)------------------------------
% 1.96/0.72  % (3145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.72  % (3145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.72  % (3145)Termination reason: Unknown
% 1.96/0.72  % (3145)Termination phase: Preprocessing 3
% 1.96/0.72  
% 1.96/0.72  % (3145)Memory used [KB]: 3837
% 1.96/0.72  % (3145)Time elapsed: 0.031 s
% 1.96/0.72  % (3145)Instructions burned: 37 (million)
% 1.96/0.72  % (3145)------------------------------
% 1.96/0.72  % (3145)------------------------------
% 1.96/0.72  % (3159)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.96/0.73  % (3167)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.37/0.74  % (3170)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.37/0.74  % (3152)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.56/0.76  % (3148)Instruction limit reached!
% 2.56/0.76  % (3148)------------------------------
% 2.56/0.76  % (3148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.76  % (3148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.76  % (3148)Termination reason: Unknown
% 2.56/0.76  % (3148)Termination phase: Property scanning
% 2.56/0.76  
% 2.56/0.76  % (3148)Memory used [KB]: 4477
% 2.56/0.76  % (3148)Time elapsed: 0.037 s
% 2.56/0.76  % (3148)Instructions burned: 49 (million)
% 2.56/0.76  % (3148)------------------------------
% 2.56/0.76  % (3148)------------------------------
% 2.56/0.78  % (3205)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.56/0.78  % (3147)Instruction limit reached!
% 2.56/0.78  % (3147)------------------------------
% 2.56/0.78  % (3147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.78  % (3147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.78  % (3147)Termination reason: Unknown
% 2.56/0.78  % (3147)Termination phase: Property scanning
% 2.56/0.78  
% 2.56/0.78  % (3147)Memory used [KB]: 4477
% 2.56/0.78  % (3147)Time elapsed: 0.041 s
% 2.56/0.78  % (3147)Instructions burned: 51 (million)
% 2.56/0.78  % (3147)------------------------------
% 2.56/0.78  % (3147)------------------------------
% 2.56/0.79  % (3149)Instruction limit reached!
% 2.56/0.79  % (3149)------------------------------
% 2.56/0.79  % (3149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.79  % (3149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.79  % (3149)Termination reason: Unknown
% 2.56/0.79  % (3149)Termination phase: Property scanning
% 2.56/0.79  
% 2.56/0.79  % (3149)Memory used [KB]: 4477
% 2.56/0.79  % (3149)Time elapsed: 0.041 s
% 2.56/0.79  % (3149)Instructions burned: 52 (million)
% 2.56/0.79  % (3149)------------------------------
% 2.56/0.79  % (3149)------------------------------
% 2.56/0.80  % (3146)Instruction limit reached!
% 2.56/0.80  % (3146)------------------------------
% 2.56/0.80  % (3146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.80  % (3146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.80  % (3146)Termination reason: Unknown
% 2.56/0.80  % (3146)Termination phase: Function definition elimination
% 2.56/0.80  
% 2.56/0.80  % (3146)Memory used [KB]: 4221
% 2.56/0.80  % (3146)Time elapsed: 0.042 s
% 2.56/0.80  % (3146)Instructions burned: 52 (million)
% 2.56/0.80  % (3146)------------------------------
% 2.56/0.80  % (3146)------------------------------
% 2.56/0.82  % (3160)Instruction limit reached!
% 2.56/0.82  % (3160)------------------------------
% 2.56/0.82  % (3160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.56/0.82  % (3160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.56/0.82  % (3160)Termination reason: Unknown
% 2.56/0.82  % (3160)Termination phase: Function definition elimination
% 2.56/0.82  
% 2.56/0.82  % (3160)Memory used [KB]: 4605
% 2.56/0.82  % (3160)Time elapsed: 0.044 s
% 2.56/0.82  % (3160)Instructions burned: 59 (million)
% 2.56/0.82  % (3160)------------------------------
% 2.56/0.82  % (3160)------------------------------
% 3.06/0.85  % (3158)Instruction limit reached!
% 3.06/0.85  % (3158)------------------------------
% 3.06/0.85  % (3158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.85  % (3158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.85  % (3158)Termination reason: Unknown
% 3.06/0.85  % (3158)Termination phase: Property scanning
% 3.06/0.85  
% 3.06/0.85  % (3158)Memory used [KB]: 4605
% 3.06/0.85  % (3158)Time elapsed: 0.056 s
% 3.06/0.85  % (3158)Instructions burned: 76 (million)
% 3.06/0.85  % (3158)------------------------------
% 3.06/0.85  % (3158)------------------------------
% 3.06/0.85  % (3162)Instruction limit reached!
% 3.06/0.85  % (3162)------------------------------
% 3.06/0.85  % (3162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.85  % (3162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.85  % (3162)Termination reason: Unknown
% 3.06/0.85  % (3162)Termination phase: Saturation
% 3.06/0.85  
% 3.06/0.85  % (3162)Memory used [KB]: 4989
% 3.06/0.85  % (3162)Time elapsed: 0.072 s
% 3.06/0.85  % (3162)Instructions burned: 101 (million)
% 3.06/0.85  % (3162)------------------------------
% 3.06/0.85  % (3162)------------------------------
% 3.06/0.86  % (3157)Instruction limit reached!
% 3.06/0.86  % (3157)------------------------------
% 3.06/0.86  % (3157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.86  % (3157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.86  % (3157)Termination reason: Unknown
% 3.06/0.86  % (3157)Termination phase: Property scanning
% 3.06/0.86  
% 3.06/0.86  % (3157)Memory used [KB]: 4989
% 3.06/0.86  % (3157)Time elapsed: 0.053 s
% 3.06/0.86  % (3157)Instructions burned: 69 (million)
% 3.06/0.86  % (3157)------------------------------
% 3.06/0.86  % (3157)------------------------------
% 3.06/0.86  % (3144)Instruction limit reached!
% 3.06/0.86  % (3144)------------------------------
% 3.06/0.86  % (3144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.86  % (3144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.86  % (3144)Termination reason: Unknown
% 3.06/0.86  % (3144)Termination phase: Property scanning
% 3.06/0.86  
% 3.06/0.86  % (3144)Memory used [KB]: 4605
% 3.06/0.86  % (3144)Time elapsed: 0.042 s
% 3.06/0.86  % (3144)Instructions burned: 50 (million)
% 3.06/0.86  % (3144)------------------------------
% 3.06/0.86  % (3144)------------------------------
% 3.06/0.86  % (3169)Instruction limit reached!
% 3.06/0.86  % (3169)------------------------------
% 3.06/0.86  % (3169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.86  % (3169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.86  % (3169)Termination reason: Unknown
% 3.06/0.86  % (3169)Termination phase: Property scanning
% 3.06/0.86  
% 3.06/0.86  % (3169)Memory used [KB]: 4989
% 3.06/0.86  % (3169)Time elapsed: 0.051 s
% 3.06/0.86  % (3169)Instructions burned: 68 (million)
% 3.06/0.86  % (3169)------------------------------
% 3.06/0.86  % (3169)------------------------------
% 3.31/0.87  % (3154)Instruction limit reached!
% 3.31/0.87  % (3154)------------------------------
% 3.31/0.87  % (3154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.87  % (3154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.87  % (3154)Termination reason: Unknown
% 3.31/0.87  % (3154)Termination phase: Saturation
% 3.31/0.87  
% 3.31/0.87  % (3154)Memory used [KB]: 9210
% 3.31/0.87  % (3154)Time elapsed: 0.075 s
% 3.31/0.87  % (3154)Instructions burned: 100 (million)
% 3.31/0.87  % (3154)------------------------------
% 3.31/0.87  % (3154)------------------------------
% 3.31/0.88  % (3209)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.31/0.91  % (3206)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 3.31/0.92  % (3208)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.31/0.93  % (3156)Instruction limit reached!
% 3.31/0.93  % (3156)------------------------------
% 3.31/0.93  % (3156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.93  % (3156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.93  % (3156)Termination reason: Unknown
% 3.31/0.93  % (3156)Termination phase: Saturation
% 3.31/0.93  
% 3.31/0.93  % (3156)Memory used [KB]: 9466
% 3.31/0.93  % (3156)Time elapsed: 0.073 s
% 3.31/0.93  % (3156)Instructions burned: 99 (million)
% 3.31/0.93  % (3156)------------------------------
% 3.31/0.93  % (3156)------------------------------
% 3.58/0.94  % (3152)Instruction limit reached!
% 3.58/0.94  % (3152)------------------------------
% 3.58/0.94  % (3152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.58/0.94  % (3152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.58/0.94  % (3152)Termination reason: Unknown
% 3.58/0.94  % (3152)Termination phase: Property scanning
% 3.58/0.94  
% 3.58/0.94  % (3152)Memory used [KB]: 4477
% 3.58/0.94  % (3152)Time elapsed: 0.043 s
% 3.58/0.94  % (3152)Instructions burned: 52 (million)
% 3.58/0.94  % (3152)------------------------------
% 3.58/0.94  % (3152)------------------------------
% 3.58/0.95  % (3155)Instruction limit reached!
% 3.58/0.95  % (3155)------------------------------
% 3.58/0.95  % (3155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.58/0.95  % (3155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.58/0.95  % (3155)Termination reason: Unknown
% 3.58/0.95  % (3155)Termination phase: Saturation
% 3.58/0.95  
% 3.58/0.95  % (3155)Memory used [KB]: 9594
% 3.58/0.95  % (3155)Time elapsed: 0.075 s
% 3.58/0.95  % (3155)Instructions burned: 101 (million)
% 3.58/0.95  % (3155)------------------------------
% 3.58/0.95  % (3155)------------------------------
% 3.58/0.95  % (3161)Instruction limit reached!
% 3.58/0.95  % (3161)------------------------------
% 3.58/0.95  % (3161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.58/0.95  % (3161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.58/0.95  % (3161)Termination reason: Unknown
% 3.58/0.95  % (3161)Termination phase: Saturation
% 3.58/0.95  
% 3.58/0.95  % (3161)Memory used [KB]: 9466
% 3.58/0.95  % (3161)Time elapsed: 0.074 s
% 3.58/0.95  % (3161)Instructions burned: 100 (million)
% 3.58/0.95  % (3161)------------------------------
% 3.58/0.95  % (3161)------------------------------
% 3.70/0.98  % (3211)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/934Mi)
% 3.70/1.01  % (3166)First to succeed.
% 3.70/1.02  % (3166)Refutation found. Thanks to Tanya!
% 3.70/1.02  % SZS status Theorem for theBenchmark
% 3.70/1.02  % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.02  % (3166)------------------------------
% 3.70/1.02  % (3166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.70/1.02  % (3166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.70/1.02  % (3166)Termination reason: Refutation
% 3.70/1.02  
% 3.70/1.02  % (3166)Memory used [KB]: 11129
% 3.70/1.02  % (3166)Time elapsed: 0.457 s
% 3.70/1.02  % (3166)Instructions burned: 328 (million)
% 3.70/1.02  % (3166)------------------------------
% 3.70/1.02  % (3166)------------------------------
% 3.70/1.02  % (3142)Success in time 0.646 s
%------------------------------------------------------------------------------