TSTP Solution File: SWW245+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW245+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_uns --cores 0 -t %d %s

% Computer : n008.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 19:05:50 EDT 2022

% Result   : Theorem 7.14s 1.35s
% Output   : Refutation 7.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   70 (  14 unt;   1 typ;   0 def)
%            Number of atoms       : 2512 ( 128 equ)
%            Maximal formula atoms :    8 (  36 avg)
%            Number of connectives :  279 ( 113   ~; 108   |;  35   &)
%                                         (   1 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       : 2277 (2277 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   28 (  26 usr;  11 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   84 (  49   !;  34   ?;  32   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_78,type,
    sQ40_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f6251,plain,
    $false,
    inference(subsumption_resolution,[],[f6249,f6247]) ).

tff(f6247,plain,
    sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____),
    inference(subsumption_resolution,[],[f6246,f6183]) ).

tff(f6183,plain,
    ( sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9)))
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(subsumption_resolution,[],[f6182,f6159]) ).

tff(f6159,plain,
    ~ sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
    inference(subsumption_resolution,[],[f6158,f6155]) ).

tff(f6155,plain,
    ( ~ sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
    | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(subsumption_resolution,[],[f6154,f4245]) ).

tff(f4245,plain,
    class_Rings_Oidom(t_a),
    inference(cnf_transformation,[],[f1162]) ).

tff(f1162,axiom,
    class_Rings_Oidom(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).

tff(f6154,plain,
    ( ~ class_Rings_Oidom(t_a)
    | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
    inference(subsumption_resolution,[],[f5030,f4943]) ).

tff(f4943,plain,
    ! [X0: $i] : ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0)),
    inference(equality_proxy_replacement,[],[f4620,f4918]) ).

tff(f4918,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ40_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ40_eqProxy])]) ).

tff(f4620,plain,
    ! [X0: $i] : ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
    inference(definition_unfolding,[],[f3375,f4054]) ).

tff(f4054,plain,
    ! [X0: $i] : ( c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X0) ),
    inference(cnf_transformation,[],[f1787]) ).

tff(f1787,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,[],[f188]) ).

tff(f188,axiom,
    ! [X18] : ( c_Nat_OSuc(X18) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).

tff(f3375,plain,
    ! [X0: $i] : ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X0) ),
    inference(cnf_transformation,[],[f1422]) ).

tff(f1422,plain,
    ! [X0] : ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X0) ),
    inference(rectify,[],[f93]) ).

tff(f93,axiom,
    ! [X21] : ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__not__Zero) ).

tff(f5030,plain,
    ( ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK4))),sK3)))
    | ~ sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
    | ~ class_Rings_Oidom(t_a) ),
    inference(equality_proxy_replacement,[],[f4634,f4918]) ).

tff(f4634,plain,
    ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
    | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK4))),sK3)) )
    | ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ ) ),
    inference(definition_unfolding,[],[f3543,f4054,f4054]) ).

tff(f3543,plain,
    ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
    | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,sK4))),sK3)) )
    | ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ ) ),
    inference(cnf_transformation,[],[f2689]) ).

tff(f2689,plain,
    ( ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ )
    | ~ class_Rings_Oidom(t_a)
    | ? [X1,X0] :
        ( ? [X2] :
            ( ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),X3)) )
            & ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X0)) )
              | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) )
            & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
              | ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X0)) ) ) )
        & ( c_Groups_Ozero__class_Ozero(t_a) != X1 ) ) ),
    inference(flattening,[],[f2688]) ).

tff(f2688,plain,
    ( ? [X1,X0] :
        ( ? [X2] :
            ( ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),X3)) )
            & ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X0)) )
              | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) )
            & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
              | ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X0)) ) ) )
        & ( c_Groups_Ozero__class_Ozero(t_a) != X1 ) )
    | ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ )
    | ~ class_Rings_Oidom(t_a) ),
    inference(ennf_transformation,[],[f1949]) ).

tff(f1949,plain,
    ( class_Rings_Oidom(t_a)
   => ( ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
     => ? [X0,X1] :
          ( ? [X2] :
              ( ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
               => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X0)) ) )
              & ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X0)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X2)),X3)) )
              & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
               => ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X0)) ) ) )
          & ( c_Groups_Ozero__class_Ozero(t_a) != X1 ) ) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ( class_Rings_Oidom(t_a)
   => ( ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
     => ? [X4,X5] :
          ( ( c_Groups_Ozero__class_Ozero(t_a) != X5 )
          & ? [X6] :
              ( ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
               => ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X6))),X4)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) ) )
              & ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X4)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X5,X6)),X3)) )
              & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
               => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X6))),X4)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096) ).

tff(f6158,plain,
    ( sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
    inference(subsumption_resolution,[],[f6157,f4943]) ).

tff(f6157,plain,
    ( sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9)))
    | ~ sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(subsumption_resolution,[],[f5095,f4245]) ).

tff(f5095,plain,
    ( ~ class_Rings_Oidom(t_a)
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9))) ),
    inference(equality_proxy_replacement,[],[f4643,f4918]) ).

tff(f4643,plain,
    ( ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
    | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9)) )
    | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) ),
    inference(definition_unfolding,[],[f3650,f4054,f4054]) ).

tff(f3650,plain,
    ( ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
    | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,sK11))),sK9)) )
    | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) ),
    inference(cnf_transformation,[],[f3135]) ).

tff(f3135,plain,
    ( ? [X1,X0] :
        ( ? [X2] :
            ( ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
              | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) )
            & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
              | ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) )
            & ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X2)),X3)) ) )
        & ( c_Groups_Ozero__class_Ozero(t_a) != X0 ) )
    | ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
    | ~ class_Rings_Oidom(t_a) ),
    inference(flattening,[],[f3134]) ).

tff(f3134,plain,
    ( ? [X1,X0] :
        ( ? [X2] :
            ( ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
              | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) )
            & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
              | ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) )
            & ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X2)),X3)) ) )
        & ( c_Groups_Ozero__class_Ozero(t_a) != X0 ) )
    | ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
    | ~ class_Rings_Oidom(t_a) ),
    inference(ennf_transformation,[],[f1557]) ).

tff(f1557,plain,
    ( class_Rings_Oidom(t_a)
   => ( ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ )
     => ? [X1,X0] :
          ( ( c_Groups_Ozero__class_Ozero(t_a) != X0 )
          & ? [X2] :
              ( ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X2)),X3)) )
              & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
               => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) )
              & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
               => ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) ) ) ) ) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ( class_Rings_Oidom(t_a)
   => ( ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ )
     => ? [X5,X4] :
          ( ? [X6] :
              ( ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X4)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X5,X6)),X3)) )
              & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
               => ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X6))),X4)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) ) )
              & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
               => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X6))),X4)) ) ) )
          & ( c_Groups_Ozero__class_Ozero(t_a) != X5 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096) ).

tff(f6182,plain,
    ( sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
    | sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9)))
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(subsumption_resolution,[],[f5094,f4245]) ).

tff(f5094,plain,
    ( ~ class_Rings_Oidom(t_a)
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9)))
    | sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) ),
    inference(equality_proxy_replacement,[],[f4642,f4918]) ).

tff(f4642,plain,
    ( ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
    | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9)) )
    | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) ),
    inference(definition_unfolding,[],[f3651,f4054,f4054,f4054]) ).

tff(f3651,plain,
    ( ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
    | ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,sK11))),sK9)) )
    | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) ),
    inference(cnf_transformation,[],[f3135]) ).

tff(f6246,plain,
    ( sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9))) ),
    inference(subsumption_resolution,[],[f6243,f5696]) ).

tff(f5696,plain,
    ( sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),sK10) ),
    inference(subsumption_resolution,[],[f5092,f4245]) ).

tff(f5092,plain,
    ( ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),sK10)
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ class_Rings_Oidom(t_a) ),
    inference(equality_proxy_replacement,[],[f3653,f4918]) ).

tff(f3653,plain,
    ( ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
    | ( c_Groups_Ozero__class_Ozero(t_a) != sK10 ) ),
    inference(cnf_transformation,[],[f3135]) ).

tff(f6243,plain,
    ( sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),sK10)
    | ~ sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK11,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK11))),sK9)))
    | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(resolution,[],[f6229,f6123]) ).

tff(f6123,plain,
    ! [X3: $i] :
      ( sQ40_eqProxy($i,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),sK9)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK10,sK11)),X3)))
      | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(subsumption_resolution,[],[f5093,f4245]) ).

tff(f5093,plain,
    ! [X3: $i] :
      ( sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
      | sQ40_eqProxy($i,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),sK9)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK10,sK11)),X3)))
      | ~ class_Rings_Oidom(t_a) ),
    inference(equality_proxy_replacement,[],[f3652,f4918]) ).

tff(f3652,plain,
    ! [X3: $i] :
      ( ~ class_Rings_Oidom(t_a)
      | ( c_Groups_Ozero__class_Ozero(t_a) = v_c____ )
      | ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),sK9)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK10,sK11)),X3)) ) ),
    inference(cnf_transformation,[],[f3135]) ).

tff(f6229,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ sQ40_eqProxy($i,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK38(X3,X4,X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK38(X3,X4,X5)),X4)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X3,X5)),sK38(X3,X4,X5))))
      | ~ sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X5))),X4)))
      | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),X3) ),
    inference(subsumption_resolution,[],[f6194,f6159]) ).

tff(f6194,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ sQ40_eqProxy($i,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK38(X3,X4,X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK38(X3,X4,X5)),X4)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X3,X5)),sK38(X3,X4,X5))))
      | sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
      | ~ sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X5))),X4)))
      | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),X3) ),
    inference(resolution,[],[f5657,f5591]) ).

tff(f5591,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ sQ40_eqProxy($i,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK38(X0,X1,X2)),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X2)),sK38(X0,X1,X2))),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK38(X0,X1,X2)))
      | sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
      | ~ sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X2))),X1)))
      | sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),X0) ),
    inference(equality_proxy_replacement,[],[f4741,f4918]) ).

tff(f4741,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( c_Groups_Ozero__class_Ozero(t_a) = X0 )
      | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK38(X0,X1,X2)),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X2)),sK38(X0,X1,X2))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK38(X0,X1,X2)) )
      | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,X2))),X1)) )
      | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) ),
    inference(definition_unfolding,[],[f4525,f4054,f4054,f4054]) ).

tff(f4525,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( c_Groups_Ozero__class_Ozero(t_a) = X0 )
      | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),sK38(X0,X1,X2)),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X2)),sK38(X0,X1,X2))) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),sK38(X0,X1,X2)) )
      | ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) )
      | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) ),
    inference(cnf_transformation,[],[f2702]) ).

tff(f2702,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) )
            & ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ) )
          | ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
            & ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) )
          | ? [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X2)),X3)) ) )
      | ( c_Groups_Ozero__class_Ozero(t_a) = X0 ) ),
    inference(ennf_transformation,[],[f1894]) ).

tff(f1894,plain,
    ~ ? [X1,X0] :
        ( ? [X2] :
            ( ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
             => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) )
            & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
             => ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X2))),X1)) ) )
            & ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X1)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X2)),X3)) ) )
        & ( c_Groups_Ozero__class_Ozero(t_a) != X0 ) ),
    inference(rectify,[],[f1161]) ).

tff(f1161,negated_conjecture,
    ~ ? [X5,X4] :
        ( ? [X6] :
            ( ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
             => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X6))),X4)) ) )
            & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
             => ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X6))),X4)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) ) )
            & ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X4)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X5,X6)),X3)) ) )
        & ( c_Groups_Ozero__class_Ozero(t_a) != X5 ) ),
    inference(negated_conjecture,[],[f1160]) ).

tff(f1160,conjecture,
    ? [X5,X4] :
      ( ? [X6] :
          ( ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
           => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X6))),X4)) ) )
          & ( ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
           => ( c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,X6))),X4)) = c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) ) )
          & ! [X3] : ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),X4)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X5,X6)),X3)) ) )
      & ( c_Groups_Ozero__class_Ozero(t_a) != X5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f5657,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ40_eqProxy(X0,X2,X1)
      | ~ sQ40_eqProxy(X0,X1,X2) ),
    inference(equality_proxy_axiom,[],[f4918]) ).

tff(f6249,plain,
    ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____),
    inference(subsumption_resolution,[],[f6248,f6178]) ).

tff(f6178,plain,
    ( sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK4))),sK3)))
    | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(subsumption_resolution,[],[f6177,f6159]) ).

tff(f6177,plain,
    ( sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
    | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK4))),sK3))) ),
    inference(subsumption_resolution,[],[f5029,f4245]) ).

tff(f5029,plain,
    ( ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ class_Rings_Oidom(t_a)
    | sQ40_eqProxy($i,c_Polynomial_OpCons(t_a,v_c____,v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))
    | sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK4))),sK3))) ),
    inference(equality_proxy_replacement,[],[f4633,f4918]) ).

tff(f4633,plain,
    ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK4))),sK3)) )
    | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
    | ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ ) ),
    inference(definition_unfolding,[],[f3544,f4054,f4054,f4054]) ).

tff(f3544,plain,
    ( ( c_Nat_OSuc(c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(c_Polynomial_Odegree(t_a,sK4))),sK3)) )
    | ( c_Polynomial_OpCons(t_a,v_c____,v_cs____) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) )
    | ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ ) ),
    inference(cnf_transformation,[],[f2689]) ).

tff(f6248,plain,
    ( ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK4))),sK3))) ),
    inference(subsumption_resolution,[],[f6242,f5693]) ).

tff(f5693,plain,
    ( ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),sK2)
    | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(subsumption_resolution,[],[f5027,f4245]) ).

tff(f5027,plain,
    ( ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
    | ~ class_Rings_Oidom(t_a)
    | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),sK2) ),
    inference(equality_proxy_replacement,[],[f3546,f4918]) ).

tff(f3546,plain,
    ( ( c_Groups_Ozero__class_Ozero(t_a) != sK2 )
    | ~ class_Rings_Oidom(t_a)
    | ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ ) ),
    inference(cnf_transformation,[],[f2689]) ).

tff(f6242,plain,
    ( sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),sK2)
    | ~ sQ40_eqProxy($i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_If(tc_Nat_Onat,c_fequal(sK4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(t_a,sK4))),sK3)))
    | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(resolution,[],[f6229,f6122]) ).

tff(f6122,plain,
    ! [X3: $i] :
      ( sQ40_eqProxy($i,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),sK3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK2,sK4)),X3)))
      | ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____) ),
    inference(subsumption_resolution,[],[f5028,f4245]) ).

tff(f5028,plain,
    ! [X3: $i] :
      ( ~ sQ40_eqProxy($i,c_Groups_Ozero__class_Ozero(t_a),v_c____)
      | ~ class_Rings_Oidom(t_a)
      | sQ40_eqProxy($i,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),sK3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK2,sK4)),X3))) ),
    inference(equality_proxy_replacement,[],[f3545,f4918]) ).

tff(f3545,plain,
    ! [X3: $i] :
      ( ( hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_c____,v_cs____)),X3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),X3),sK3)),hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,sK2,sK4)),X3)) )
      | ~ class_Rings_Oidom(t_a)
      | ( c_Groups_Ozero__class_Ozero(t_a) != v_c____ ) ),
    inference(cnf_transformation,[],[f2689]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW245+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 20:28:40 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.53  % (32083)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.54  % (32099)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.56  % (32083)Instruction limit reached!
% 0.21/0.56  % (32083)------------------------------
% 0.21/0.56  % (32083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (32096)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.57  % (32083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (32083)Termination reason: Unknown
% 0.21/0.57  % (32083)Termination phase: Preprocessing 3
% 0.21/0.57  
% 0.21/0.57  % (32083)Memory used [KB]: 4349
% 0.21/0.57  % (32083)Time elapsed: 0.023 s
% 0.21/0.57  % (32083)Instructions burned: 33 (million)
% 0.21/0.57  % (32083)------------------------------
% 0.21/0.57  % (32083)------------------------------
% 0.21/0.57  % (32088)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58  % (32080)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.58  % (32078)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.58  % (32097)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.59  % (32074)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.60  % (32088)Instruction limit reached!
% 0.21/0.60  % (32088)------------------------------
% 0.21/0.60  % (32088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (32088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (32088)Termination reason: Unknown
% 0.21/0.60  % (32088)Termination phase: Preprocessing 1
% 0.21/0.60  
% 0.21/0.60  % (32088)Memory used [KB]: 2814
% 0.21/0.60  % (32088)Time elapsed: 0.005 s
% 0.21/0.60  % (32088)Instructions burned: 4 (million)
% 0.21/0.60  % (32088)------------------------------
% 0.21/0.60  % (32088)------------------------------
% 0.21/0.60  % (32086)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.60  % (32076)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.60  % (32076)Instruction limit reached!
% 0.21/0.60  % (32076)------------------------------
% 0.21/0.60  % (32076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (32076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (32076)Termination reason: Unknown
% 0.21/0.60  % (32076)Termination phase: Preprocessing 1
% 0.21/0.60  
% 0.21/0.60  % (32076)Memory used [KB]: 2942
% 0.21/0.60  % (32076)Time elapsed: 0.004 s
% 0.21/0.60  % (32076)Instructions burned: 4 (million)
% 0.21/0.60  % (32076)------------------------------
% 0.21/0.60  % (32076)------------------------------
% 0.21/0.60  % (32102)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.60  % (32090)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.60  % (32103)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.60  % (32077)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.60  % (32100)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.60  % (32079)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.49/0.60  % (32085)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.61  % (32075)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.49/0.61  % (32098)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.61  % (32085)Instruction limit reached!
% 1.49/0.61  % (32085)------------------------------
% 1.49/0.61  % (32085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.61  % (32085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.61  % (32085)Termination reason: Unknown
% 1.49/0.61  % (32085)Termination phase: SInE selection
% 1.49/0.61  
% 1.49/0.61  % (32085)Memory used [KB]: 2686
% 1.49/0.61  % (32085)Time elapsed: 0.005 s
% 1.49/0.61  % (32085)Instructions burned: 7 (million)
% 1.49/0.61  % (32085)------------------------------
% 1.49/0.61  % (32085)------------------------------
% 1.49/0.61  % (32092)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.61  % (32078)Instruction limit reached!
% 1.49/0.61  % (32078)------------------------------
% 1.49/0.61  % (32078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.61  % (32078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.61  % (32078)Termination reason: Unknown
% 1.49/0.61  % (32078)Termination phase: shuffling
% 1.49/0.61  
% 1.49/0.61  % (32078)Memory used [KB]: 3070
% 1.49/0.61  % (32078)Time elapsed: 0.009 s
% 1.49/0.61  % (32078)Instructions burned: 14 (million)
% 1.49/0.61  % (32078)------------------------------
% 1.49/0.61  % (32078)------------------------------
% 1.49/0.61  % (32094)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.49/0.61  % (32092)Instruction limit reached!
% 1.49/0.61  % (32092)------------------------------
% 1.49/0.61  % (32092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.61  % (32092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.61  % (32092)Termination reason: Unknown
% 1.49/0.61  % (32092)Termination phase: shuffling
% 1.49/0.61  
% 1.49/0.61  % (32092)Memory used [KB]: 2558
% 1.49/0.61  % (32092)Time elapsed: 0.003 s
% 1.49/0.61  % (32092)Instructions burned: 2 (million)
% 1.49/0.61  % (32092)------------------------------
% 1.49/0.61  % (32092)------------------------------
% 1.49/0.61  % (32082)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.49/0.61  % (32084)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.49/0.61  % (32101)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.49/0.61  % (32095)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.62  % (32091)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.49/0.62  % (32089)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.62  % (32091)Instruction limit reached!
% 1.49/0.62  % (32091)------------------------------
% 1.49/0.62  % (32091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.62  % (32091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.62  % (32091)Termination reason: Unknown
% 1.49/0.62  % (32091)Termination phase: Preprocessing 1
% 1.49/0.62  
% 1.49/0.62  % (32091)Memory used [KB]: 2942
% 1.49/0.62  % (32091)Time elapsed: 0.005 s
% 1.49/0.62  % (32091)Instructions burned: 4 (million)
% 1.49/0.62  % (32091)------------------------------
% 1.49/0.62  % (32091)------------------------------
% 1.49/0.62  % (32093)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.64/0.62  % (32087)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.68/0.63  % (32075)Instruction limit reached!
% 1.68/0.63  % (32075)------------------------------
% 1.68/0.63  % (32075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.63  % (32075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.63  % (32075)Termination reason: Unknown
% 1.68/0.63  % (32075)Termination phase: Property scanning
% 1.68/0.63  
% 1.68/0.63  % (32075)Memory used [KB]: 3070
% 1.68/0.63  % (32075)Time elapsed: 0.010 s
% 1.68/0.63  % (32075)Instructions burned: 13 (million)
% 1.68/0.63  % (32075)------------------------------
% 1.68/0.63  % (32075)------------------------------
% 1.68/0.63  % (32081)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.68/0.63  % (32080)Instruction limit reached!
% 1.68/0.63  % (32080)------------------------------
% 1.68/0.63  % (32080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.63  % (32080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.63  % (32080)Termination reason: Unknown
% 1.68/0.63  % (32080)Termination phase: Function definition elimination
% 1.68/0.63  
% 1.68/0.63  % (32080)Memory used [KB]: 3582
% 1.68/0.63  % (32080)Time elapsed: 0.021 s
% 1.68/0.63  % (32080)Instructions burned: 39 (million)
% 1.68/0.63  % (32080)------------------------------
% 1.68/0.63  % (32080)------------------------------
% 1.68/0.63  % (32079)Instruction limit reached!
% 1.68/0.63  % (32079)------------------------------
% 1.68/0.63  % (32079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.63  % (32079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.63  % (32079)Termination reason: Unknown
% 1.68/0.63  % (32079)Termination phase: Preprocessing 1
% 1.68/0.63  
% 1.68/0.63  % (32079)Memory used [KB]: 3326
% 1.68/0.63  % (32079)Time elapsed: 0.011 s
% 1.68/0.63  % (32079)Instructions burned: 16 (million)
% 1.68/0.63  % (32079)------------------------------
% 1.68/0.63  % (32079)------------------------------
% 1.68/0.64  % (32099)Instruction limit reached!
% 1.68/0.64  % (32099)------------------------------
% 1.68/0.64  % (32099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64  % (32102)Instruction limit reached!
% 1.68/0.64  % (32102)------------------------------
% 1.68/0.64  % (32102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64  % (32102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64  % (32102)Termination reason: Unknown
% 1.68/0.64  % (32102)Termination phase: Preprocessing 1
% 1.68/0.64  
% 1.68/0.64  % (32102)Memory used [KB]: 3198
% 1.68/0.64  % (32102)Time elapsed: 0.006 s
% 1.68/0.64  % (32102)Instructions burned: 9 (million)
% 1.68/0.64  % (32102)------------------------------
% 1.68/0.64  % (32102)------------------------------
% 1.68/0.64  % (32099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64  % (32099)Termination reason: Unknown
% 1.68/0.64  % (32099)Termination phase: Saturation
% 1.68/0.64  
% 1.68/0.64  % (32099)Memory used [KB]: 9978
% 1.68/0.64  % (32099)Time elapsed: 0.087 s
% 1.68/0.64  % (32099)Instructions burned: 95 (million)
% 1.68/0.64  % (32099)------------------------------
% 1.68/0.64  % (32099)------------------------------
% 1.68/0.64  % (32086)Instruction limit reached!
% 1.68/0.64  % (32086)------------------------------
% 1.68/0.64  % (32086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64  % (32089)Instruction limit reached!
% 1.68/0.64  % (32089)------------------------------
% 1.68/0.64  % (32089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64  % (32086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64  % (32089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64  % (32086)Termination reason: Unknown
% 1.68/0.64  % (32089)Termination reason: Unknown
% 1.68/0.64  % (32086)Termination phase: Preprocessing 1
% 1.68/0.64  
% 1.68/0.64  % (32089)Termination phase: Preprocessing 1
% 1.68/0.64  
% 1.68/0.64  % (32086)Memory used [KB]: 3198
% 1.68/0.64  % (32086)Time elapsed: 0.011 s
% 1.68/0.64  % (32089)Memory used [KB]: 3070
% 1.68/0.64  % (32086)Instructions burned: 17 (million)
% 1.68/0.64  % (32086)------------------------------
% 1.68/0.64  % (32086)------------------------------
% 1.68/0.64  % (32089)Time elapsed: 0.007 s
% 1.68/0.64  % (32089)Instructions burned: 8 (million)
% 1.68/0.64  % (32089)------------------------------
% 1.68/0.64  % (32089)------------------------------
% 1.68/0.64  % (32084)Instruction limit reached!
% 1.68/0.64  % (32084)------------------------------
% 1.68/0.64  % (32084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.64  % (32084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.64  % (32084)Termination reason: Unknown
% 1.68/0.64  % (32084)Termination phase: Preprocessing 1
% 1.68/0.64  
% 1.68/0.64  % (32084)Memory used [KB]: 3198
% 1.68/0.64  % (32084)Time elapsed: 0.009 s
% 1.68/0.64  % (32084)Instructions burned: 12 (million)
% 1.68/0.64  % (32084)------------------------------
% 1.68/0.64  % (32084)------------------------------
% 1.68/0.65  % (32093)Instruction limit reached!
% 1.68/0.65  % (32093)------------------------------
% 1.68/0.65  % (32093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.65  % (32093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.65  % (32093)Termination reason: Unknown
% 1.68/0.65  % (32093)Termination phase: Preprocessing 1
% 1.68/0.65  
% 1.68/0.65  % (32093)Memory used [KB]: 2942
% 1.68/0.65  % (32093)Time elapsed: 0.009 s
% 1.68/0.65  % (32093)Instructions burned: 13 (million)
% 1.68/0.65  % (32093)------------------------------
% 1.68/0.65  % (32093)------------------------------
% 1.68/0.65  % (32094)Instruction limit reached!
% 1.68/0.65  % (32094)------------------------------
% 1.68/0.65  % (32094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.65  % (32094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.65  % (32094)Termination reason: Unknown
% 1.68/0.65  % (32094)Termination phase: NewCNF
% 1.68/0.65  
% 1.68/0.65  % (32094)Memory used [KB]: 3837
% 1.68/0.65  % (32094)Time elapsed: 0.020 s
% 1.68/0.65  % (32094)Instructions burned: 31 (million)
% 1.68/0.65  % (32094)------------------------------
% 1.68/0.65  % (32094)------------------------------
% 1.68/0.65  % (32097)Instruction limit reached!
% 1.68/0.65  % (32097)------------------------------
% 1.68/0.65  % (32097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.65  % (32097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.66  % (32097)Termination reason: Unknown
% 1.68/0.66  % (32097)Termination phase: Property scanning
% 1.68/0.66  
% 1.68/0.66  % (32097)Memory used [KB]: 5117
% 1.68/0.66  % (32097)Time elapsed: 0.027 s
% 1.68/0.66  % (32097)Instructions burned: 48 (million)
% 1.68/0.66  % (32097)------------------------------
% 1.68/0.66  % (32097)------------------------------
% 1.68/0.66  % (32101)Instruction limit reached!
% 1.68/0.66  % (32101)------------------------------
% 1.68/0.66  % (32101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.66  % (32101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.66  % (32101)Termination reason: Unknown
% 1.68/0.66  % (32101)Termination phase: shuffling
% 1.68/0.66  
% 1.68/0.66  % (32101)Memory used [KB]: 3709
% 1.68/0.66  % (32101)Time elapsed: 0.016 s
% 1.68/0.66  % (32101)Instructions burned: 25 (million)
% 1.68/0.66  % (32101)------------------------------
% 1.68/0.66  % (32101)------------------------------
% 1.68/0.66  % (32103)Instruction limit reached!
% 1.68/0.66  % (32103)------------------------------
% 1.68/0.66  % (32103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.66  % (32103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.66  % (32103)Termination reason: Unknown
% 1.68/0.66  % (32103)Termination phase: Preprocessing 2
% 1.68/0.66  
% 1.68/0.66  % (32103)Memory used [KB]: 3709
% 1.68/0.66  % (32103)Time elapsed: 0.016 s
% 1.68/0.66  % (32103)Instructions burned: 24 (million)
% 1.68/0.66  % (32103)------------------------------
% 1.68/0.66  % (32103)------------------------------
% 1.68/0.67  % (32104)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/92Mi)
% 1.68/0.69  % (32096)Instruction limit reached!
% 1.68/0.69  % (32096)------------------------------
% 1.68/0.69  % (32096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.69  % (32096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.69  % (32096)Termination reason: Unknown
% 1.68/0.69  % (32096)Termination phase: Saturation
% 1.68/0.69  
% 1.68/0.69  % (32096)Memory used [KB]: 5117
% 1.68/0.69  % (32096)Time elapsed: 0.040 s
% 1.68/0.69  % (32096)Instructions burned: 82 (million)
% 1.68/0.69  % (32096)------------------------------
% 1.68/0.69  % (32096)------------------------------
% 1.68/0.69  % (32082)Instruction limit reached!
% 1.68/0.69  % (32082)------------------------------
% 1.68/0.69  % (32082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.69  % (32082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.69  % (32082)Termination reason: Unknown
% 1.68/0.69  % (32082)Termination phase: Saturation
% 1.68/0.69  
% 1.68/0.69  % (32082)Memory used [KB]: 3965
% 1.68/0.69  % (32082)Time elapsed: 0.025 s
% 1.68/0.69  % (32082)Instructions burned: 50 (million)
% 1.68/0.69  % (32082)------------------------------
% 1.68/0.69  % (32082)------------------------------
% 1.68/0.70  % (32087)Instruction limit reached!
% 1.68/0.70  % (32087)------------------------------
% 1.68/0.70  % (32087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.70  % (32087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.70  % (32087)Termination reason: Unknown
% 1.68/0.70  % (32087)Termination phase: Property scanning
% 1.68/0.70  
% 1.68/0.70  % (32087)Memory used [KB]: 4221
% 1.68/0.70  % (32087)Time elapsed: 0.026 s
% 1.68/0.70  % (32087)Instructions burned: 53 (million)
% 1.68/0.70  % (32087)------------------------------
% 1.68/0.70  % (32087)------------------------------
% 1.68/0.70  % (32090)Instruction limit reached!
% 1.68/0.70  % (32090)------------------------------
% 1.68/0.70  % (32090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.70  % (32090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.70  % (32090)Termination reason: Unknown
% 1.68/0.70  % (32090)Termination phase: Property scanning
% 1.68/0.70  
% 1.68/0.70  % (32090)Memory used [KB]: 4989
% 1.68/0.70  % (32090)Time elapsed: 0.025 s
% 1.68/0.70  % (32090)Instructions burned: 52 (million)
% 1.68/0.70  % (32090)------------------------------
% 1.68/0.70  % (32090)------------------------------
% 1.68/0.70  % (32098)Instruction limit reached!
% 1.68/0.70  % (32098)------------------------------
% 1.68/0.70  % (32098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.70  % (32098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.70  % (32098)Termination reason: Unknown
% 1.68/0.70  % (32098)Termination phase: Property scanning
% 1.68/0.70  
% 1.68/0.70  % (32098)Memory used [KB]: 4989
% 1.68/0.70  % (32098)Time elapsed: 0.028 s
% 1.68/0.70  % (32098)Instructions burned: 50 (million)
% 1.68/0.70  % (32098)------------------------------
% 1.68/0.70  % (32098)------------------------------
% 1.68/0.70  % (32077)Instruction limit reached!
% 1.68/0.70  % (32077)------------------------------
% 1.68/0.70  % (32077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.70  % (32077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.70  % (32077)Termination reason: Unknown
% 1.68/0.70  % (32077)Termination phase: Saturation
% 1.68/0.70  
% 1.68/0.70  % (32077)Memory used [KB]: 8187
% 1.68/0.70  % (32077)Time elapsed: 0.224 s
% 1.68/0.70  % (32077)Instructions burned: 51 (million)
% 1.68/0.70  % (32077)------------------------------
% 1.68/0.70  % (32077)------------------------------
% 2.12/0.71  % (32081)Instruction limit reached!
% 2.12/0.71  % (32081)------------------------------
% 2.12/0.71  % (32081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.71  % (32081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.71  % (32081)Termination reason: Unknown
% 2.12/0.71  % (32081)Termination phase: Clausification
% 2.12/0.71  
% 2.12/0.71  % (32081)Memory used [KB]: 4861
% 2.12/0.71  % (32081)Time elapsed: 0.023 s
% 2.12/0.71  % (32081)Instructions burned: 40 (million)
% 2.12/0.71  % (32081)------------------------------
% 2.12/0.71  % (32081)------------------------------
% 2.12/0.72  % (32108)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.12/0.72  % (32105)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.12/0.73  % (32106)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 2.12/0.73  % (32107)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.12/0.74  % (32105)Instruction limit reached!
% 2.12/0.74  % (32105)------------------------------
% 2.12/0.74  % (32105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.74  % (32109)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.12/0.74  % (32114)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.12/0.74  % (32110)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.12/0.75  % (32105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.75  % (32105)Termination reason: Unknown
% 2.12/0.75  % (32105)Termination phase: Preprocessing 1
% 2.12/0.75  
% 2.12/0.75  % (32105)Memory used [KB]: 2686
% 2.12/0.75  % (32105)Time elapsed: 0.007 s
% 2.12/0.75  % (32105)Instructions burned: 8 (million)
% 2.12/0.75  % (32105)------------------------------
% 2.12/0.75  % (32105)------------------------------
% 2.12/0.76  % (32113)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.12/0.76  % (32095)Instruction limit reached!
% 2.12/0.76  % (32095)------------------------------
% 2.12/0.76  % (32095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.76  % (32095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.76  % (32095)Termination reason: Unknown
% 2.12/0.76  % (32095)Termination phase: Saturation
% 2.12/0.76  
% 2.12/0.76  % (32095)Memory used [KB]: 5756
% 2.12/0.76  % (32095)Time elapsed: 0.049 s
% 2.12/0.76  % (32095)Instructions burned: 99 (million)
% 2.12/0.76  % (32095)------------------------------
% 2.12/0.76  % (32095)------------------------------
% 2.12/0.76  % (32111)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.12/0.77  % (32100)Instruction limit reached!
% 2.12/0.77  % (32100)------------------------------
% 2.12/0.77  % (32100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.77  % (32100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.77  % (32100)Termination reason: Unknown
% 2.12/0.77  % (32100)Termination phase: Saturation
% 2.12/0.77  
% 2.12/0.77  % (32100)Memory used [KB]: 6140
% 2.12/0.77  % (32100)Time elapsed: 0.050 s
% 2.12/0.77  % (32100)Instructions burned: 99 (million)
% 2.12/0.77  % (32100)------------------------------
% 2.12/0.77  % (32100)------------------------------
% 2.12/0.77  % (32112)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.12/0.77  % (32115)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.12/0.77  % (32116)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.28/0.77  % (32104)Instruction limit reached!
% 2.28/0.77  % (32104)------------------------------
% 2.28/0.77  % (32104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.77  % (32118)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.28/0.77  % (32117)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.28/0.79  % (32119)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.28/0.79  % (32104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.79  % (32104)Termination reason: Unknown
% 2.28/0.79  % (32104)Termination phase: Saturation
% 2.28/0.79  
% 2.28/0.79  % (32104)Memory used [KB]: 9466
% 2.28/0.79  % (32104)Time elapsed: 0.108 s
% 2.28/0.79  % (32104)Instructions burned: 92 (million)
% 2.28/0.79  % (32104)------------------------------
% 2.28/0.79  % (32104)------------------------------
% 2.28/0.79  % (32121)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.28/0.79  % (32120)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.28/0.79  % (32122)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.28/0.80  % (32123)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.28/0.81  % (32119)Instruction limit reached!
% 2.28/0.81  % (32119)------------------------------
% 2.28/0.81  % (32119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.81  % (32119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.81  % (32119)Termination reason: Unknown
% 2.28/0.81  % (32119)Termination phase: shuffling
% 2.28/0.81  
% 2.28/0.81  % (32119)Memory used [KB]: 3582
% 2.28/0.81  % (32119)Time elapsed: 0.012 s
% 2.28/0.81  % (32119)Instructions burned: 16 (million)
% 2.28/0.81  % (32119)------------------------------
% 2.28/0.81  % (32119)------------------------------
% 2.28/0.81  % (32125)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/237Mi)
% 2.28/0.83  % (32112)Instruction limit reached!
% 2.28/0.83  % (32112)------------------------------
% 2.28/0.83  % (32112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.83  % (32112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.83  % (32112)Termination reason: Unknown
% 2.28/0.83  % (32112)Termination phase: Preprocessing 3
% 2.28/0.83  
% 2.28/0.83  % (32112)Memory used [KB]: 4605
% 2.28/0.83  % (32112)Time elapsed: 0.018 s
% 2.28/0.83  % (32112)Instructions burned: 31 (million)
% 2.28/0.83  % (32112)------------------------------
% 2.28/0.83  % (32112)------------------------------
% 2.28/0.83  % (32128)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.28/0.83  % (32124)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/341Mi)
% 2.28/0.83  % (32126)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/10Mi)
% 2.28/0.84  % (32129)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 2.28/0.84  % (32123)Instruction limit reached!
% 2.28/0.84  % (32123)------------------------------
% 2.28/0.84  % (32123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.84  % (32123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.84  % (32123)Termination reason: Unknown
% 2.28/0.84  % (32123)Termination phase: shuffling
% 2.28/0.84  
% 2.28/0.84  % (32123)Memory used [KB]: 4221
% 2.28/0.84  % (32123)Time elapsed: 0.013 s
% 2.28/0.84  % (32123)Instructions burned: 20 (million)
% 2.28/0.84  % (32123)------------------------------
% 2.28/0.84  % (32123)------------------------------
% 2.28/0.84  % (32109)Instruction limit reached!
% 2.28/0.84  % (32109)------------------------------
% 2.28/0.84  % (32109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.84  % (32109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.84  % (32109)Termination reason: Unknown
% 2.28/0.84  % (32109)Termination phase: Saturation
% 2.28/0.84  
% 2.28/0.84  % (32109)Memory used [KB]: 8315
% 2.28/0.84  % (32109)Time elapsed: 0.029 s
% 2.28/0.84  % (32109)Instructions burned: 56 (million)
% 2.28/0.84  % (32109)------------------------------
% 2.28/0.84  % (32109)------------------------------
% 2.28/0.85  % (32114)Instruction limit reached!
% 2.28/0.85  % (32114)------------------------------
% 2.28/0.85  % (32114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.85  % (32114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.85  % (32114)Termination reason: Unknown
% 2.28/0.85  % (32114)Termination phase: Blocked clause elimination
% 2.28/0.85  
% 2.28/0.85  % (32114)Memory used [KB]: 5373
% 2.28/0.85  % (32114)Time elapsed: 0.077 s
% 2.28/0.85  % (32114)Instructions burned: 84 (million)
% 2.28/0.85  % (32114)------------------------------
% 2.28/0.85  % (32114)------------------------------
% 2.28/0.85  % (32130)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.28/0.85  % (32126)Instruction limit reached!
% 2.28/0.85  % (32126)------------------------------
% 2.28/0.85  % (32126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.85  % (32126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.85  % (32126)Termination reason: Unknown
% 2.28/0.85  % (32126)Termination phase: Preprocessing 3
% 2.28/0.85  
% 2.28/0.85  % (32126)Memory used [KB]: 2942
% 2.28/0.85  % (32126)Time elapsed: 0.008 s
% 2.28/0.85  % (32126)Instructions burned: 11 (million)
% 2.28/0.85  % (32126)------------------------------
% 2.28/0.85  % (32126)------------------------------
% 2.28/0.85  % (32120)Instruction limit reached!
% 2.28/0.85  % (32120)------------------------------
% 2.28/0.85  % (32120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.85  % (32111)Instruction limit reached!
% 2.28/0.85  % (32111)------------------------------
% 2.28/0.85  % (32111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.85  % (32120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.85  % (32120)Termination reason: Unknown
% 2.28/0.85  % (32111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.85  % (32120)Termination phase: Preprocessing 3
% 2.28/0.85  
% 2.28/0.85  % (32111)Termination reason: Unknown
% 2.28/0.85  % (32111)Termination phase: Property scanning
% 2.28/0.85  
% 2.28/0.85  % (32120)Memory used [KB]: 4349
% 2.28/0.85  % (32120)Time elapsed: 0.020 s
% 2.28/0.85  % (32111)Memory used [KB]: 4989
% 2.28/0.85  % (32120)Instructions burned: 32 (million)
% 2.28/0.85  % (32111)Time elapsed: 0.025 s
% 2.28/0.85  % (32120)------------------------------
% 2.28/0.85  % (32120)------------------------------
% 2.28/0.85  % (32111)Instructions burned: 42 (million)
% 2.28/0.85  % (32111)------------------------------
% 2.28/0.85  % (32111)------------------------------
% 2.28/0.86  % (32127)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/472Mi)
% 2.28/0.86  % (32131)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/138Mi)
% 2.28/0.87  % (32107)Instruction limit reached!
% 2.28/0.87  % (32107)------------------------------
% 2.28/0.87  % (32107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.87  % (32107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.87  % (32107)Termination reason: Unknown
% 2.28/0.87  % (32107)Termination phase: Property scanning
% 2.28/0.87  
% 2.28/0.87  % (32107)Memory used [KB]: 5117
% 2.28/0.87  % (32107)Time elapsed: 0.035 s
% 2.28/0.87  % (32107)Instructions burned: 71 (million)
% 2.28/0.87  % (32107)------------------------------
% 2.28/0.87  % (32107)------------------------------
% 2.81/0.88  % (32128)Instruction limit reached!
% 2.81/0.88  % (32128)------------------------------
% 2.81/0.88  % (32128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.88  % (32128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.88  % (32128)Termination reason: Unknown
% 2.81/0.88  % (32128)Termination phase: Preprocessing 3
% 2.81/0.88  
% 2.81/0.88  % (32128)Memory used [KB]: 3454
% 2.81/0.88  % (32128)Time elapsed: 0.014 s
% 2.81/0.88  % (32128)Instructions burned: 21 (million)
% 2.81/0.88  % (32128)------------------------------
% 2.81/0.88  % (32128)------------------------------
% 2.81/0.88  % (32130)Instruction limit reached!
% 2.81/0.88  % (32130)------------------------------
% 2.81/0.88  % (32130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.88  % (32130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.88  % (32130)Termination reason: Unknown
% 2.81/0.88  % (32130)Termination phase: Preprocessing 3
% 2.81/0.88  
% 2.81/0.88  % (32130)Memory used [KB]: 3454
% 2.81/0.88  % (32130)Time elapsed: 0.012 s
% 2.81/0.88  % (32130)Instructions burned: 22 (million)
% 2.81/0.88  % (32130)------------------------------
% 2.81/0.88  % (32130)------------------------------
% 2.81/0.89  % (32106)Instruction limit reached!
% 2.81/0.89  % (32106)------------------------------
% 2.81/0.89  % (32106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.89  % (32106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.89  % (32106)Termination reason: Unknown
% 2.81/0.89  % (32106)Termination phase: Saturation
% 2.81/0.89  
% 2.81/0.89  % (32106)Memory used [KB]: 9083
% 2.81/0.89  % (32106)Time elapsed: 0.243 s
% 2.81/0.89  % (32106)Instructions burned: 87 (million)
% 2.81/0.89  % (32106)------------------------------
% 2.81/0.89  % (32106)------------------------------
% 2.81/0.89  % (32132)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/393Mi)
% 2.81/0.89  % (32113)Instruction limit reached!
% 2.81/0.89  % (32113)------------------------------
% 2.81/0.89  % (32113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.89  % (32113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.89  % (32113)Termination reason: Unknown
% 2.81/0.89  % (32113)Termination phase: Property scanning
% 2.81/0.89  
% 2.81/0.89  % (32113)Memory used [KB]: 4989
% 2.81/0.89  % (32113)Time elapsed: 0.035 s
% 2.81/0.89  % (32113)Instructions burned: 68 (million)
% 2.81/0.89  % (32113)------------------------------
% 2.81/0.89  % (32113)------------------------------
% 2.97/0.90  % (32133)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/488Mi)
% 2.97/0.91  % (32108)Instruction limit reached!
% 2.97/0.91  % (32108)------------------------------
% 2.97/0.91  % (32108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.91  % (32108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.91  % (32108)Termination reason: Unknown
% 2.97/0.91  % (32108)Termination phase: Saturation
% 2.97/0.91  
% 2.97/0.91  % (32108)Memory used [KB]: 5373
% 2.97/0.91  % (32108)Time elapsed: 0.261 s
% 2.97/0.91  % (32108)Instructions burned: 108 (million)
% 2.97/0.91  % (32108)------------------------------
% 2.97/0.91  % (32108)------------------------------
% 3.13/0.92  % (32134)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/93Mi)
% 3.13/0.92  % (32116)Instruction limit reached!
% 3.13/0.92  % (32116)------------------------------
% 3.13/0.92  % (32116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.92  % (32116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.92  % (32116)Termination reason: Unknown
% 3.13/0.92  % (32116)Termination phase: Saturation
% 3.13/0.92  
% 3.13/0.92  % (32116)Memory used [KB]: 9850
% 3.13/0.92  % (32116)Time elapsed: 0.047 s
% 3.13/0.92  % (32116)Instructions burned: 95 (million)
% 3.13/0.92  % (32116)------------------------------
% 3.13/0.92  % (32116)------------------------------
% 3.21/0.92  % (32122)Instruction limit reached!
% 3.21/0.92  % (32122)------------------------------
% 3.21/0.92  % (32122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.92  % (32122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.92  % (32122)Termination reason: Unknown
% 3.21/0.92  % (32122)Termination phase: Saturation
% 3.21/0.92  
% 3.21/0.92  % (32122)Memory used [KB]: 8827
% 3.21/0.92  % (32122)Time elapsed: 0.248 s
% 3.21/0.92  % (32122)Instructions burned: 68 (million)
% 3.21/0.92  % (32122)------------------------------
% 3.21/0.92  % (32122)------------------------------
% 3.21/0.93  % (32118)Instruction limit reached!
% 3.21/0.93  % (32118)------------------------------
% 3.21/0.93  % (32118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.93  % (32118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.93  % (32118)Termination reason: Unknown
% 3.21/0.93  % (32118)Termination phase: Saturation
% 3.21/0.93  
% 3.21/0.93  % (32118)Memory used [KB]: 5500
% 3.21/0.93  % (32118)Time elapsed: 0.043 s
% 3.21/0.93  % (32118)Instructions burned: 86 (million)
% 3.21/0.93  % (32118)------------------------------
% 3.21/0.93  % (32118)------------------------------
% 3.21/0.95  % (32135)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/23Mi)
% 3.21/0.95  % (32136)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/221Mi)
% 3.21/0.96  % (32129)Instruction limit reached!
% 3.21/0.96  % (32129)------------------------------
% 3.21/0.96  % (32129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.96  % (32129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.96  % (32129)Termination reason: Unknown
% 3.21/0.96  % (32129)Termination phase: Saturation
% 3.21/0.96  
% 3.21/0.96  % (32129)Memory used [KB]: 5500
% 3.21/0.96  % (32129)Time elapsed: 0.050 s
% 3.21/0.96  % (32129)Instructions burned: 97 (million)
% 3.21/0.96  % (32129)------------------------------
% 3.21/0.96  % (32129)------------------------------
% 3.21/0.97  % (32139)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/79Mi)
% 3.21/0.98  % (32138)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/86Mi)
% 3.21/0.98  % (32117)Instruction limit reached!
% 3.21/0.98  % (32117)------------------------------
% 3.21/0.98  % (32117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.98  % (32117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.98  % (32117)Termination reason: Unknown
% 3.21/0.98  % (32117)Termination phase: Saturation
% 3.21/0.98  
% 3.21/0.98  % (32117)Memory used [KB]: 9466
% 3.21/0.98  % (32117)Time elapsed: 0.296 s
% 3.21/0.98  % (32117)Instructions burned: 109 (million)
% 3.21/0.98  % (32117)------------------------------
% 3.21/0.98  % (32117)------------------------------
% 3.21/0.98  % (32110)Instruction limit reached!
% 3.21/0.98  % (32110)------------------------------
% 3.21/0.98  % (32110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/0.98  % (32110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/0.98  % (32110)Termination reason: Unknown
% 3.21/0.98  % (32110)Termination phase: Saturation
% 3.21/0.98  
% 3.21/0.98  % (32110)Memory used [KB]: 8955
% 3.21/0.98  % (32110)Time elapsed: 0.313 s
% 3.21/0.98  % (32110)Instructions burned: 141 (million)
% 3.21/0.98  % (32110)------------------------------
% 3.21/0.98  % (32110)------------------------------
% 3.21/0.98  % (32141)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/118Mi)
% 3.21/0.99  % (32137)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/222Mi)
% 3.21/0.99  % (32143)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 3.21/0.99  % (32142)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/34Mi)
% 3.21/1.00  % (32115)Instruction limit reached!
% 3.21/1.00  % (32115)------------------------------
% 3.21/1.00  % (32115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/1.00  % (32115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/1.00  % (32115)Termination reason: Unknown
% 3.21/1.00  % (32115)Termination phase: Saturation
% 3.21/1.00  
% 3.21/1.00  % (32115)Memory used [KB]: 9978
% 3.21/1.00  % (32115)Time elapsed: 0.069 s
% 3.21/1.00  % (32115)Instructions burned: 132 (million)
% 3.21/1.00  % (32115)------------------------------
% 3.21/1.00  % (32115)------------------------------
% 3.21/1.00  % (32135)Instruction limit reached!
% 3.21/1.00  % (32135)------------------------------
% 3.21/1.00  % (32135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.21/1.00  % (32135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.21/1.00  % (32135)Termination reason: Unknown
% 3.21/1.00  % (32135)Termination phase: Preprocessing 3
% 3.21/1.00  
% 3.21/1.00  % (32135)Memory used [KB]: 4349
% 3.21/1.00  % (32135)Time elapsed: 0.016 s
% 3.21/1.00  % (32135)Instructions burned: 25 (million)
% 3.21/1.00  % (32135)------------------------------
% 3.21/1.00  % (32135)------------------------------
% 3.21/1.00  % (32147)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/357Mi)
% 3.74/1.01  % (32140)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/377Mi)
% 3.74/1.01  % (32144)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8Mi)
% 3.74/1.02  % (32146)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/23Mi)
% 3.74/1.02  % (32145)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/390Mi)
% 3.74/1.02  % (32144)Instruction limit reached!
% 3.74/1.02  % (32144)------------------------------
% 3.74/1.02  % (32144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.74/1.02  % (32144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.74/1.02  % (32144)Termination reason: Unknown
% 3.74/1.02  % (32144)Termination phase: Preprocessing 1
% 3.74/1.02  
% 3.74/1.02  % (32144)Memory used [KB]: 3070
% 3.74/1.02  % (32144)Time elapsed: 0.011 s
% 3.74/1.02  % (32144)Instructions burned: 9 (million)
% 3.74/1.02  % (32144)------------------------------
% 3.74/1.02  % (32144)------------------------------
% 3.74/1.03  % (32121)Instruction limit reached!
% 3.74/1.03  % (32121)------------------------------
% 3.74/1.03  % (32121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.74/1.03  % (32121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.74/1.03  % (32121)Termination reason: Unknown
% 3.74/1.03  % (32121)Termination phase: Saturation
% 3.74/1.03  
% 3.74/1.03  % (32121)Memory used [KB]: 10234
% 3.74/1.03  % (32121)Time elapsed: 0.344 s
% 3.74/1.03  % (32121)Instructions burned: 149 (million)
% 3.74/1.03  % (32121)------------------------------
% 3.74/1.03  % (32121)------------------------------
% 3.74/1.04  % (32148)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/366Mi)
% 3.74/1.04  % (32142)Instruction limit reached!
% 3.74/1.04  % (32142)------------------------------
% 3.74/1.04  % (32142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.74/1.04  % (32142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.74/1.04  % (32142)Termination reason: Unknown
% 3.74/1.04  % (32142)Termination phase: Preprocessing 3
% 3.74/1.04  
% 3.74/1.04  % (32142)Memory used [KB]: 4861
% 3.74/1.04  % (32142)Time elapsed: 0.023 s
% 3.74/1.04  % (32142)Instructions burned: 36 (million)
% 3.74/1.04  % (32142)------------------------------
% 3.74/1.04  % (32142)------------------------------
% 3.74/1.04  % (32134)Instruction limit reached!
% 3.74/1.04  % (32134)------------------------------
% 3.74/1.04  % (32134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.74/1.05  % (32151)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/288Mi)
% 3.74/1.06  % (32149)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/424Mi)
% 3.74/1.06  % (32134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.74/1.06  % (32146)Instruction limit reached!
% 3.74/1.06  % (32146)------------------------------
% 3.74/1.06  % (32146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.74/1.07  % (32134)Termination reason: Unknown
% 3.74/1.07  % (32134)Termination phase: Saturation
% 3.74/1.07  
% 3.74/1.07  % (32134)Memory used [KB]: 9722
% 3.74/1.07  % (32134)Time elapsed: 0.041 s
% 3.74/1.07  % (32134)Instructions burned: 94 (million)
% 3.74/1.07  % (32134)------------------------------
% 3.74/1.07  % (32134)------------------------------
% 3.74/1.07  % (32131)Instruction limit reached!
% 3.74/1.07  % (32131)------------------------------
% 3.74/1.07  % (32131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.07  % (32146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.07  % (32146)Termination reason: Unknown
% 4.02/1.07  % (32146)Termination phase: Unused predicate definition removal
% 4.02/1.07  
% 4.02/1.07  % (32146)Memory used [KB]: 3582
% 4.02/1.07  % (32146)Time elapsed: 0.014 s
% 4.02/1.07  % (32146)Instructions burned: 24 (million)
% 4.02/1.07  % (32146)------------------------------
% 4.02/1.07  % (32146)------------------------------
% 4.02/1.07  % (32131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.07  % (32131)Termination reason: Unknown
% 4.02/1.07  % (32131)Termination phase: Saturation
% 4.02/1.07  
% 4.02/1.07  % (32131)Memory used [KB]: 10234
% 4.02/1.07  % (32131)Time elapsed: 0.235 s
% 4.02/1.07  % (32131)Instructions burned: 138 (million)
% 4.02/1.07  % (32131)------------------------------
% 4.02/1.07  % (32131)------------------------------
% 4.02/1.08  % (32150)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/753Mi)
% 4.02/1.09  % (32153)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/149Mi)
% 4.02/1.09  % (32139)Instruction limit reached!
% 4.02/1.09  % (32139)------------------------------
% 4.02/1.09  % (32139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.09  % (32139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.09  % (32139)Termination reason: Unknown
% 4.02/1.09  % (32139)Termination phase: Property scanning
% 4.02/1.09  
% 4.02/1.09  % (32139)Memory used [KB]: 5117
% 4.02/1.09  % (32139)Time elapsed: 0.058 s
% 4.02/1.09  % (32139)Instructions burned: 79 (million)
% 4.02/1.09  % (32139)------------------------------
% 4.02/1.09  % (32139)------------------------------
% 4.02/1.09  % (32138)Instruction limit reached!
% 4.02/1.09  % (32138)------------------------------
% 4.02/1.09  % (32138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.09  % (32138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.09  % (32138)Termination reason: Unknown
% 4.02/1.09  % (32138)Termination phase: Property scanning
% 4.02/1.09  
% 4.02/1.09  % (32138)Memory used [KB]: 5245
% 4.02/1.09  % (32138)Time elapsed: 0.041 s
% 4.02/1.09  % (32138)Instructions burned: 87 (million)
% 4.02/1.09  % (32138)------------------------------
% 4.02/1.09  % (32138)------------------------------
% 4.02/1.11  % (32152)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1000Mi)
% 4.02/1.12  % (32154)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/35Mi)
% 4.02/1.13  % (32155)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/377Mi)
% 4.02/1.14  % (32156)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/300Mi)
% 4.02/1.15  % (32157)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/45Mi)
% 4.02/1.16  % (32141)Instruction limit reached!
% 4.02/1.16  % (32141)------------------------------
% 4.02/1.16  % (32141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.16  % (32141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.16  % (32141)Termination reason: Unknown
% 4.02/1.16  % (32141)Termination phase: Saturation
% 4.02/1.16  
% 4.02/1.16  % (32141)Memory used [KB]: 6268
% 4.02/1.16  % (32141)Time elapsed: 0.065 s
% 4.02/1.16  % (32141)Instructions burned: 119 (million)
% 4.02/1.16  % (32141)------------------------------
% 4.02/1.16  % (32141)------------------------------
% 4.02/1.16  % (32143)Instruction limit reached!
% 4.02/1.16  % (32143)------------------------------
% 4.02/1.16  % (32143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.16  % (32143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.16  % (32143)Termination reason: Unknown
% 4.02/1.16  % (32143)Termination phase: Saturation
% 4.02/1.16  
% 4.02/1.16  % (32143)Memory used [KB]: 5628
% 4.02/1.16  % (32143)Time elapsed: 0.051 s
% 4.02/1.16  % (32143)Instructions burned: 113 (million)
% 4.02/1.16  % (32143)------------------------------
% 4.02/1.16  % (32143)------------------------------
% 4.02/1.16  % (32125)Instruction limit reached!
% 4.02/1.16  % (32125)------------------------------
% 4.02/1.16  % (32125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.16  % (32125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.16  % (32125)Termination reason: Unknown
% 4.02/1.16  % (32125)Termination phase: Saturation
% 4.02/1.16  
% 4.02/1.16  % (32125)Memory used [KB]: 12281
% 4.02/1.16  % (32125)Time elapsed: 0.376 s
% 4.02/1.16  % (32125)Instructions burned: 238 (million)
% 4.02/1.16  % (32125)------------------------------
% 4.02/1.16  % (32125)------------------------------
% 4.02/1.17  % (32154)Instruction limit reached!
% 4.02/1.17  % (32154)------------------------------
% 4.02/1.17  % (32154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.02/1.17  % (32154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.02/1.17  % (32154)Termination reason: Unknown
% 4.02/1.17  % (32154)Termination phase: Preprocessing 3
% 4.02/1.17  
% 4.02/1.17  % (32154)Memory used [KB]: 4221
% 4.02/1.17  % (32154)Time elapsed: 0.021 s
% 4.02/1.17  % (32154)Instructions burned: 36 (million)
% 4.02/1.17  % (32154)------------------------------
% 4.02/1.17  % (32154)------------------------------
% 4.02/1.17  % (32158)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/23Mi)
% 6.07/1.18  % (32159)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/136Mi)
% 6.24/1.20  % (32162)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/234Mi)
% 6.24/1.21  % (32164)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/290Mi)
% 6.24/1.21  % (32161)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/102Mi)
% 6.24/1.21  % (32157)Instruction limit reached!
% 6.24/1.21  % (32157)------------------------------
% 6.24/1.21  % (32157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.24/1.21  % (32157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.24/1.21  % (32157)Termination reason: Unknown
% 6.24/1.21  % (32157)Termination phase: Property scanning
% 6.24/1.21  
% 6.24/1.21  % (32157)Memory used [KB]: 4989
% 6.24/1.21  % (32157)Time elapsed: 0.024 s
% 6.24/1.21  % (32157)Instructions burned: 46 (million)
% 6.24/1.21  % (32157)------------------------------
% 6.24/1.21  % (32157)------------------------------
% 6.24/1.22  % (32160)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/91Mi)
% 6.24/1.22  % (32158)Instruction limit reached!
% 6.24/1.22  % (32158)------------------------------
% 6.24/1.22  % (32158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.24/1.22  % (32158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.24/1.22  % (32158)Termination reason: Unknown
% 6.24/1.22  % (32158)Termination phase: Preprocessing 3
% 6.24/1.22  
% 6.24/1.22  % (32158)Memory used [KB]: 4349
% 6.24/1.22  % (32158)Time elapsed: 0.014 s
% 6.24/1.22  % (32158)Instructions burned: 23 (million)
% 6.24/1.22  % (32158)------------------------------
% 6.24/1.22  % (32158)------------------------------
% 6.24/1.23  % (32163)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/246Mi)
% 6.48/1.29  % (32167)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/126Mi)
% 6.48/1.30  % (32166)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/248Mi)
% 6.48/1.31  % (32168)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/997Mi)
% 6.48/1.31  % (32136)Instruction limit reached!
% 6.48/1.31  % (32136)------------------------------
% 6.48/1.31  % (32136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.48/1.31  % (32136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.48/1.31  % (32136)Termination reason: Unknown
% 6.48/1.31  % (32136)Termination phase: Saturation
% 6.48/1.31  
% 6.48/1.31  % (32136)Memory used [KB]: 12281
% 6.48/1.31  % (32136)Time elapsed: 0.456 s
% 6.48/1.31  % (32136)Instructions burned: 223 (million)
% 6.48/1.31  % (32136)------------------------------
% 6.48/1.31  % (32136)------------------------------
% 7.14/1.33  % (32155)First to succeed.
% 7.14/1.33  % (32124)Instruction limit reached!
% 7.14/1.33  % (32124)------------------------------
% 7.14/1.33  % (32124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.14/1.33  % (32124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.14/1.33  % (32124)Termination reason: Unknown
% 7.14/1.33  % (32124)Termination phase: Saturation
% 7.14/1.33  
% 7.14/1.33  % (32124)Memory used [KB]: 11257
% 7.14/1.33  % (32124)Time elapsed: 0.588 s
% 7.14/1.33  % (32124)Instructions burned: 342 (million)
% 7.14/1.33  % (32124)------------------------------
% 7.14/1.33  % (32124)------------------------------
% 7.14/1.33  % (32165)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/68Mi)
% 7.14/1.34  % (32169)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/139Mi)
% 7.14/1.35  % (32155)Refutation found. Thanks to Tanya!
% 7.14/1.35  % SZS status Theorem for theBenchmark
% 7.14/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 7.14/1.35  % (32155)------------------------------
% 7.14/1.35  % (32155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.14/1.35  % (32155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.14/1.35  % (32155)Termination reason: Refutation
% 7.14/1.35  
% 7.14/1.35  % (32155)Memory used [KB]: 5628
% 7.14/1.35  % (32155)Time elapsed: 0.323 s
% 7.14/1.35  % (32155)Instructions burned: 133 (million)
% 7.14/1.35  % (32155)------------------------------
% 7.14/1.35  % (32155)------------------------------
% 7.14/1.35  % (32073)Success in time 0.998 s
%------------------------------------------------------------------------------