TSTP Solution File: ITP020_2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ITP020_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : 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 17:23:14 EDT 2022

% Result   : Theorem 3.79s 1.03s
% Output   : Refutation 3.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   77
% Syntax   : Number of formulae    :  107 (  15 unt;  68 typ;   0 def)
%            Number of atoms       :  276 (   0 equ)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives :  118 (  41   ~;  36   |;  27   &)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of FOOLs       :  160 ( 160 fml;   0 var)
%            Number of types       :    6 (   4 usr)
%            Number of type conns  :  133 (  59   >;  74   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   2 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;   5 con; 0-4 aty)
%            Number of variables   :  103 (  85   !;  18   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    del: $tType ).

tff(type_def_6,type,
    tp__o: $tType ).

tff(type_def_7,type,
    tp__ty_2Enum_2Enum: $tType ).

tff(type_def_8,type,
    tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $tType ).

tff(func_def_0,type,
    bool: del ).

tff(func_def_1,type,
    ind: del ).

tff(func_def_2,type,
    arr: ( del * del ) > del ).

tff(func_def_4,type,
    k: ( del * $i ) > $i ).

tff(func_def_5,type,
    i: del > $i ).

tff(func_def_6,type,
    inj__o: tp__o > $i ).

tff(func_def_7,type,
    surj__o: $i > tp__o ).

tff(func_def_9,type,
    fo__c_2Ebool_2ET: tp__o ).

tff(func_def_11,type,
    fo__c_2Ebool_2EF: tp__o ).

tff(func_def_13,type,
    fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).

tff(func_def_15,type,
    fo__c_2Ebool_2E_5C_2F: ( tp__o * tp__o ) > tp__o ).

tff(func_def_17,type,
    fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).

tff(func_def_19,type,
    fo__c_2Ebool_2E_7E: tp__o > tp__o ).

tff(func_def_20,type,
    c_2Emin_2E_3D: del > $i ).

tff(func_def_21,type,
    c_2Ebool_2E_21: del > $i ).

tff(func_def_22,type,
    c_2Epred__set_2EUNIV: del > $i ).

tff(func_def_23,type,
    ty_2Epair_2Eprod: ( del * del ) > del ).

tff(func_def_24,type,
    c_2Epred__set_2ECROSS: ( del * del ) > $i ).

tff(func_def_25,type,
    c_2Epred__set_2EBIJ: ( del * del ) > $i ).

tff(func_def_26,type,
    ty_2Enum_2Enum: del ).

tff(func_def_27,type,
    inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).

tff(func_def_28,type,
    surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum ).

tff(func_def_29,type,
    inj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum > $i ).

tff(func_def_30,type,
    surj__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum: $i > tp__c_ty_2Epair_2Eprod_ty_2Enum_2Enum_ty_2Enum_2Enum ).

tff(func_def_31,type,
    c_2Ebool_2E_3F: del > $i ).

tff(func_def_32,type,
    sK11: ( $i * del * $i ) > $i ).

tff(func_def_33,type,
    sK12: ( $i * del * tp__o ) > $i ).

tff(func_def_34,type,
    sK13: ( $i * del ) > $i ).

tff(func_def_35,type,
    sK14: ( del * tp__o * $i ) > $i ).

tff(func_def_36,type,
    sK15: ( del * $i ) > $i ).

tff(func_def_37,type,
    sK16: ( del * $i ) > $i ).

tff(func_def_38,type,
    sK17: ( del * tp__o * $i ) > $i ).

tff(func_def_40,type,
    sK19: ( del * $i ) > $i ).

tff(func_def_41,type,
    sK20: ( del * tp__o * $i ) > $i ).

tff(func_def_42,type,
    sK21: ( $i * del ) > $i ).

tff(func_def_43,type,
    sK22: ( del * $i ) > $i ).

tff(func_def_44,type,
    sK23: ( $i * del ) > $i ).

tff(func_def_45,type,
    sK24: ( $i * del * tp__o ) > $i ).

tff(func_def_46,type,
    sK25: ( del * $i ) > $i ).

tff(func_def_47,type,
    sK26: ( del * $i * tp__o ) > $i ).

tff(func_def_48,type,
    sK27: ( del * $i ) > $i ).

tff(func_def_49,type,
    sK28: ( del * $i ) > $i ).

tff(func_def_50,type,
    sK29: ( del * $i ) > $i ).

tff(func_def_51,type,
    sK30: ( del * $i * tp__o ) > $i ).

tff(func_def_52,type,
    sK31: ( tp__o * $i * del ) > $i ).

tff(func_def_53,type,
    sK32: ( $i * del ) > $i ).

tff(func_def_54,type,
    sK33: ( $i * del * del * $i ) > $i ).

tff(func_def_55,type,
    sK34: ( $i * del * del * $i ) > $i ).

tff(func_def_56,type,
    sK35: ( del * $i * $i ) > $i ).

tff(func_def_57,type,
    sK36: ( $i * del * $i ) > $i ).

tff(func_def_58,type,
    sK37: ( del * $i * del ) > $i ).

tff(func_def_59,type,
    sK38: ( del * $i * del ) > $i ).

tff(pred_def_1,type,
    mem: ( $i * del ) > $o ).

tff(pred_def_3,type,
    sP0: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_4,type,
    sP1: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_5,type,
    sP2: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_6,type,
    sP3: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_7,type,
    sP4: ( tp__o * tp__o ) > $o ).

tff(pred_def_8,type,
    sP5: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_9,type,
    sP6: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_10,type,
    sP7: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_11,type,
    sP8: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_12,type,
    sP9: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_13,type,
    sP10: ( tp__o * tp__o * tp__o ) > $o ).

tff(f998,plain,
    $false,
    inference(subsumption_resolution,[],[f994,f876]) ).

tff(f876,plain,
    p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),sK34(c_2Epred__set_2EUNIV(ty_2Enum_2Enum),ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum,ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))),
    inference(unit_resulting_resolution,[],[f410,f442,f443,f803,f590]) ).

tff(f590,plain,
    ! [X2: del,X3: $i,X0: $i,X1: del,X7: $i] :
      ( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),X7),X3),X0))
      | ~ mem(X0,arr(X2,bool))
      | ~ mem(X3,arr(X1,bool))
      | ~ mem(X7,arr(X1,X2))
      | p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X1),sK34(X0,X1,X2,X3)),X0),X3)) ),
    inference(cnf_transformation,[],[f347]) ).

tff(f347,plain,
    ! [X0,X1: del,X2: del] :
      ( ! [X3] :
          ( ( ( ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),sK33(X0,X1,X2,X3)),X3),X0))
                & mem(sK33(X0,X1,X2,X3),arr(X1,X2)) )
              | ! [X5] :
                  ( ~ mem(X5,arr(X2,X1))
                  | ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X1),X5),X0),X3)) ) )
            & ( ( mem(sK34(X0,X1,X2,X3),arr(X2,X1))
                & p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X1),sK34(X0,X1,X2,X3)),X0),X3)) )
              | ! [X7] :
                  ( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),X7),X3),X0))
                  | ~ mem(X7,arr(X1,X2)) ) ) )
          | ~ mem(X3,arr(X1,bool)) )
      | ~ mem(X0,arr(X2,bool)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f344,f346,f345]) ).

tff(f345,plain,
    ! [X0,X1: del,X2: del,X3] :
      ( ? [X4] :
          ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),X4),X3),X0))
          & mem(X4,arr(X1,X2)) )
     => ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),sK33(X0,X1,X2,X3)),X3),X0))
        & mem(sK33(X0,X1,X2,X3),arr(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f346,plain,
    ! [X0,X1: del,X2: del,X3] :
      ( ? [X6] :
          ( mem(X6,arr(X2,X1))
          & p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X1),X6),X0),X3)) )
     => ( mem(sK34(X0,X1,X2,X3),arr(X2,X1))
        & p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X1),sK34(X0,X1,X2,X3)),X0),X3)) ) ),
    introduced(choice_axiom,[]) ).

tff(f344,plain,
    ! [X0,X1: del,X2: del] :
      ( ! [X3] :
          ( ( ( ? [X4] :
                  ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),X4),X3),X0))
                  & mem(X4,arr(X1,X2)) )
              | ! [X5] :
                  ( ~ mem(X5,arr(X2,X1))
                  | ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X1),X5),X0),X3)) ) )
            & ( ? [X6] :
                  ( mem(X6,arr(X2,X1))
                  & p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X1),X6),X0),X3)) )
              | ! [X7] :
                  ( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),X7),X3),X0))
                  | ~ mem(X7,arr(X1,X2)) ) ) )
          | ~ mem(X3,arr(X1,bool)) )
      | ~ mem(X0,arr(X2,bool)) ),
    inference(rectify,[],[f343]) ).

tff(f343,plain,
    ! [X1,X2: del,X0: del] :
      ( ! [X3] :
          ( ( ( ? [X4] :
                  ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X0),X4),X3),X1))
                  & mem(X4,arr(X2,X0)) )
              | ! [X5] :
                  ( ~ mem(X5,arr(X0,X2))
                  | ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X0,X2),X5),X1),X3)) ) )
            & ( ? [X5] :
                  ( mem(X5,arr(X0,X2))
                  & p(ap(ap(ap(c_2Epred__set_2EBIJ(X0,X2),X5),X1),X3)) )
              | ! [X4] :
                  ( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X0),X4),X3),X1))
                  | ~ mem(X4,arr(X2,X0)) ) ) )
          | ~ mem(X3,arr(X2,bool)) )
      | ~ mem(X1,arr(X0,bool)) ),
    inference(nnf_transformation,[],[f186]) ).

tff(f186,plain,
    ! [X1,X2: del,X0: del] :
      ( ! [X3] :
          ( ( ? [X4] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X0),X4),X3),X1))
                & mem(X4,arr(X2,X0)) )
          <=> ? [X5] :
                ( mem(X5,arr(X0,X2))
                & p(ap(ap(ap(c_2Epred__set_2EBIJ(X0,X2),X5),X1),X3)) ) )
          | ~ mem(X3,arr(X2,bool)) )
      | ~ mem(X1,arr(X0,bool)) ),
    inference(ennf_transformation,[],[f146]) ).

tff(f146,plain,
    ! [X0: del,X2: del,X1] :
      ( mem(X1,arr(X0,bool))
     => ! [X3] :
          ( mem(X3,arr(X2,bool))
         => ( ? [X4] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X2,X0),X4),X3),X1))
                & mem(X4,arr(X2,X0)) )
          <=> ? [X5] :
                ( mem(X5,arr(X0,X2))
                & p(ap(ap(ap(c_2Epred__set_2EBIJ(X0,X2),X5),X1),X3)) ) ) ) ),
    inference(rectify,[],[f61]) ).

tff(f61,axiom,
    ! [X10: del,X29,X11: del] :
      ( mem(X29,arr(X10,bool))
     => ! [X30] :
          ( mem(X30,arr(X11,bool))
         => ( ? [X32] :
                ( mem(X32,arr(X11,X10))
                & p(ap(ap(ap(c_2Epred__set_2EBIJ(X11,X10),X32),X30),X29)) )
          <=> ? [X31] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X10,X11),X31),X29),X30))
                & mem(X31,arr(X10,X11)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EBIJ__SYM) ).

tff(f803,plain,
    ! [X0: del,X1: del] : mem(ap(ap(c_2Epred__set_2ECROSS(X0,X1),c_2Epred__set_2EUNIV(X0)),c_2Epred__set_2EUNIV(X1)),arr(ty_2Epair_2Eprod(X0,X1),bool)),
    inference(unit_resulting_resolution,[],[f410,f721,f378]) ).

tff(f378,plain,
    ! [X2: del,X3: $i,X0: $i,X1: del] :
      ( ~ mem(X0,arr(X1,X2))
      | ~ mem(X3,X1)
      | mem(ap(X0,X3),X2) ),
    inference(cnf_transformation,[],[f219]) ).

tff(f219,plain,
    ! [X0,X1: del,X2: del] :
      ( ~ mem(X0,arr(X1,X2))
      | ! [X3] :
          ( ~ mem(X3,X1)
          | mem(ap(X0,X3),X2) ) ),
    inference(rectify,[],[f192]) ).

tff(f192,plain,
    ! [X1,X2: del,X0: del] :
      ( ~ mem(X1,arr(X2,X0))
      | ! [X3] :
          ( ~ mem(X3,X2)
          | mem(ap(X1,X3),X0) ) ),
    inference(ennf_transformation,[],[f110]) ).

tff(f110,plain,
    ! [X2: del,X0: del,X1] :
      ( mem(X1,arr(X2,X0))
     => ! [X3] :
          ( mem(X3,X2)
         => mem(ap(X1,X3),X0) ) ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X1: del,X2,X0: del] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).

tff(f721,plain,
    ! [X0: del,X1: del] : mem(ap(c_2Epred__set_2ECROSS(X0,X1),c_2Epred__set_2EUNIV(X0)),arr(arr(X1,bool),arr(ty_2Epair_2Eprod(X0,X1),bool))),
    inference(unit_resulting_resolution,[],[f410,f377,f378]) ).

tff(f377,plain,
    ! [X0: del,X1: del] : mem(c_2Epred__set_2ECROSS(X0,X1),arr(arr(X0,bool),arr(arr(X1,bool),arr(ty_2Epair_2Eprod(X0,X1),bool)))),
    inference(cnf_transformation,[],[f218]) ).

tff(f218,plain,
    ! [X0: del,X1: del] : mem(c_2Epred__set_2ECROSS(X0,X1),arr(arr(X0,bool),arr(arr(X1,bool),arr(ty_2Epair_2Eprod(X0,X1),bool)))),
    inference(rectify,[],[f121]) ).

tff(f121,plain,
    ! [X1: del,X0: del] : mem(c_2Epred__set_2ECROSS(X1,X0),arr(arr(X1,bool),arr(arr(X0,bool),arr(ty_2Epair_2Eprod(X1,X0),bool)))),
    inference(rectify,[],[f32]) ).

tff(f32,axiom,
    ! [X11: del,X10: del] : mem(c_2Epred__set_2ECROSS(X10,X11),arr(arr(X10,bool),arr(arr(X11,bool),arr(ty_2Epair_2Eprod(X10,X11),bool)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECROSS) ).

tff(f443,plain,
    p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),sK18),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),
    inference(cnf_transformation,[],[f259]) ).

tff(f259,plain,
    ( p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),sK18),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))
    & mem(sK18,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f92,f258]) ).

tff(f258,plain,
    ( ? [X0] :
        ( p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),X0),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))
        & mem(X0,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)) )
   => ( p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),sK18),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))
      & mem(sK18,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)) ) ),
    introduced(choice_axiom,[]) ).

tff(f92,plain,
    ? [X0] :
      ( p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),X0),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))
      & mem(X0,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)) ),
    inference(rectify,[],[f72]) ).

tff(f72,axiom,
    ? [X36] :
      ( mem(X36,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum))
      & p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),X36),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ) ).

tff(f442,plain,
    mem(sK18,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)),
    inference(cnf_transformation,[],[f259]) ).

tff(f410,plain,
    ! [X0: del] : mem(c_2Epred__set_2EUNIV(X0),arr(X0,bool)),
    inference(cnf_transformation,[],[f105]) ).

tff(f105,plain,
    ! [X0: del] : mem(c_2Epred__set_2EUNIV(X0),arr(X0,bool)),
    inference(rectify,[],[f31]) ).

tff(f31,axiom,
    ! [X10: del] : mem(c_2Epred__set_2EUNIV(X10),arr(X10,bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2EUNIV) ).

tff(f994,plain,
    ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),sK34(c_2Epred__set_2EUNIV(ty_2Enum_2Enum),ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum,ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))),
    inference(unit_resulting_resolution,[],[f877,f409]) ).

tff(f409,plain,
    ! [X0: $i] :
      ( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X0),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))))
      | ~ mem(X0,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))) ),
    inference(cnf_transformation,[],[f191]) ).

tff(f191,plain,
    ! [X0] :
      ( ~ mem(X0,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))
      | ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X0),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))) ),
    inference(ennf_transformation,[],[f81]) ).

tff(f81,plain,
    ~ ? [X0] :
        ( p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X0),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))))
        & mem(X0,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))) ),
    inference(rectify,[],[f74]) ).

tff(f74,negated_conjecture,
    ~ ? [X36] :
        ( mem(X36,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))
        & p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X36),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))) ),
    inference(negated_conjecture,[],[f73]) ).

tff(f73,conjecture,
    ? [X36] :
      ( mem(X36,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))
      & p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),X36),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).

tff(f877,plain,
    mem(sK34(c_2Epred__set_2EUNIV(ty_2Enum_2Enum),ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum,ap(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),c_2Epred__set_2EUNIV(ty_2Enum_2Enum))),arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))),
    inference(unit_resulting_resolution,[],[f410,f442,f443,f803,f591]) ).

tff(f591,plain,
    ! [X2: del,X3: $i,X0: $i,X1: del,X7: $i] :
      ( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X2),X7),X3),X0))
      | ~ mem(X3,arr(X1,bool))
      | ~ mem(X7,arr(X1,X2))
      | ~ mem(X0,arr(X2,bool))
      | mem(sK34(X0,X1,X2,X3),arr(X2,X1)) ),
    inference(cnf_transformation,[],[f347]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : ITP020_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n008.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Aug 29 23:41:10 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.18/0.48  % (31226)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (31223)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.49  % (31228)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.49  % (31227)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (31252)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50  % (31224)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50  % (31237)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.50  % (31242)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (31231)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51  % (31249)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51  % (31232)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (31229)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (31239)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51  % (31231)Instruction limit reached!
% 0.18/0.51  % (31231)------------------------------
% 0.18/0.51  % (31231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (31231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (31231)Termination reason: Unknown
% 0.18/0.51  % (31231)Termination phase: Preprocessing 3
% 0.18/0.51  
% 0.18/0.51  % (31231)Memory used [KB]: 1023
% 0.18/0.51  % (31231)Time elapsed: 0.003 s
% 0.18/0.51  % (31231)Instructions burned: 3 (million)
% 0.18/0.51  % (31231)------------------------------
% 0.18/0.51  % (31231)------------------------------
% 0.18/0.51  % (31236)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51  % (31250)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51  % (31243)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.51  % (31238)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.51  % (31240)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51  % (31247)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51  % (31225)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51  % (31235)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52  % (31246)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52  % (31251)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.52  % (31245)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52  % (31241)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (31233)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53  % (31244)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (31253)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.53  % (31234)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (31230)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54  % (31226)Instruction limit reached!
% 0.18/0.54  % (31226)------------------------------
% 0.18/0.54  % (31226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (31226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (31226)Termination reason: Unknown
% 0.18/0.55  % (31226)Termination phase: Saturation
% 0.18/0.55  
% 0.18/0.55  % (31226)Memory used [KB]: 6780
% 0.18/0.55  % (31226)Time elapsed: 0.145 s
% 0.18/0.55  % (31226)Instructions burned: 52 (million)
% 0.18/0.55  % (31226)------------------------------
% 0.18/0.55  % (31226)------------------------------
% 1.65/0.56  % (31230)Instruction limit reached!
% 1.65/0.56  % (31230)------------------------------
% 1.65/0.56  % (31230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56  % (31230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56  % (31230)Termination reason: Unknown
% 1.65/0.56  % (31230)Termination phase: Property scanning
% 1.65/0.56  
% 1.65/0.56  % (31230)Memory used [KB]: 1279
% 1.65/0.56  % (31230)Time elapsed: 0.005 s
% 1.65/0.56  % (31230)Instructions burned: 10 (million)
% 1.65/0.56  % (31230)------------------------------
% 1.65/0.56  % (31230)------------------------------
% 1.65/0.56  % (31225)Instruction limit reached!
% 1.65/0.56  % (31225)------------------------------
% 1.65/0.56  % (31225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56  % (31225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56  % (31225)Termination reason: Unknown
% 1.65/0.56  % (31225)Termination phase: Saturation
% 1.65/0.56  
% 1.65/0.56  % (31225)Memory used [KB]: 1535
% 1.65/0.56  % (31225)Time elapsed: 0.168 s
% 1.65/0.56  % (31225)Instructions burned: 37 (million)
% 1.65/0.56  % (31225)------------------------------
% 1.65/0.56  % (31225)------------------------------
% 1.65/0.57  TRYING [1,1,1,1,1]
% 1.77/0.57  % (31228)Instruction limit reached!
% 1.77/0.57  % (31228)------------------------------
% 1.77/0.57  % (31228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.57  % (31228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.57  % (31228)Termination reason: Unknown
% 1.77/0.57  % (31228)Termination phase: Saturation
% 1.77/0.57  
% 1.77/0.57  % (31228)Memory used [KB]: 6652
% 1.77/0.57  % (31228)Time elapsed: 0.185 s
% 1.77/0.57  % (31228)Instructions burned: 48 (million)
% 1.77/0.57  % (31228)------------------------------
% 1.77/0.57  % (31228)------------------------------
% 1.77/0.58  % (31227)Instruction limit reached!
% 1.77/0.58  % (31227)------------------------------
% 1.77/0.58  % (31227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58  % (31227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58  % (31227)Termination reason: Unknown
% 1.77/0.58  % (31227)Termination phase: Saturation
% 1.77/0.58  
% 1.77/0.58  % (31227)Memory used [KB]: 6524
% 1.77/0.58  % (31227)Time elapsed: 0.201 s
% 1.77/0.58  % (31227)Instructions burned: 51 (million)
% 1.77/0.58  % (31227)------------------------------
% 1.77/0.58  % (31227)------------------------------
% 1.77/0.58  % (31224)Instruction limit reached!
% 1.77/0.58  % (31224)------------------------------
% 1.77/0.58  % (31224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58  % (31237)Instruction limit reached!
% 1.77/0.58  % (31237)------------------------------
% 1.77/0.58  % (31237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58  % (31237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58  % (31237)Termination reason: Unknown
% 1.77/0.58  % (31237)Termination phase: Saturation
% 1.77/0.58  
% 1.77/0.58  % (31237)Memory used [KB]: 7036
% 1.77/0.58  % (31237)Time elapsed: 0.047 s
% 1.77/0.58  % (31237)Instructions burned: 68 (million)
% 1.77/0.58  % (31237)------------------------------
% 1.77/0.58  % (31237)------------------------------
% 1.77/0.59  TRYING [1,2,1,1,1]
% 1.77/0.59  % (31224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (31224)Termination reason: Unknown
% 1.77/0.59  % (31224)Termination phase: Saturation
% 1.77/0.59  
% 1.77/0.59  % (31224)Memory used [KB]: 6524
% 1.77/0.59  % (31224)Time elapsed: 0.202 s
% 1.77/0.59  % (31224)Instructions burned: 51 (million)
% 1.77/0.59  % (31224)------------------------------
% 1.77/0.59  % (31224)------------------------------
% 1.77/0.59  % (31229)Instruction limit reached!
% 1.77/0.59  % (31229)------------------------------
% 1.77/0.59  % (31229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.59  % (31229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.59  % (31229)Termination reason: Unknown
% 1.77/0.59  % (31229)Termination phase: Finite model building preprocessing
% 1.77/0.59  
% 1.77/0.59  % (31229)Memory used [KB]: 7164
% 1.77/0.59  % (31229)Time elapsed: 0.024 s
% 1.77/0.59  % (31229)Instructions burned: 51 (million)
% 1.77/0.59  % (31229)------------------------------
% 1.77/0.59  % (31229)------------------------------
% 1.77/0.61  % (31232)Instruction limit reached!
% 1.77/0.61  % (31232)------------------------------
% 1.77/0.61  % (31232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.61  % (31232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.61  % (31232)Termination reason: Unknown
% 1.77/0.61  % (31232)Termination phase: Saturation
% 1.77/0.61  
% 1.77/0.61  % (31232)Memory used [KB]: 1918
% 1.77/0.61  % (31232)Time elapsed: 0.221 s
% 1.77/0.61  % (31232)Instructions burned: 53 (million)
% 1.77/0.61  % (31232)------------------------------
% 1.77/0.61  % (31232)------------------------------
% 1.77/0.62  % (31250)Instruction limit reached!
% 1.77/0.62  % (31250)------------------------------
% 1.77/0.62  % (31250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62  % (31250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62  % (31250)Termination reason: Unknown
% 1.77/0.62  % (31250)Termination phase: Saturation
% 1.77/0.62  
% 1.77/0.62  % (31250)Memory used [KB]: 7164
% 1.77/0.62  % (31250)Time elapsed: 0.036 s
% 1.77/0.62  % (31250)Instructions burned: 69 (million)
% 1.77/0.62  % (31250)------------------------------
% 1.77/0.62  % (31250)------------------------------
% 1.77/0.62  TRYING [1,2,2,1,1]
% 1.77/0.62  % (31233)Instruction limit reached!
% 1.77/0.62  % (31233)------------------------------
% 1.77/0.62  % (31233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62  % (31233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62  % (31233)Termination reason: Unknown
% 1.77/0.62  % (31233)Termination phase: Saturation
% 1.77/0.62  
% 1.77/0.62  % (31233)Memory used [KB]: 6652
% 1.77/0.62  % (31233)Time elapsed: 0.218 s
% 1.77/0.62  % (31233)Instructions burned: 50 (million)
% 1.77/0.62  % (31233)------------------------------
% 1.77/0.62  % (31233)------------------------------
% 1.77/0.62  % (31240)Instruction limit reached!
% 1.77/0.62  % (31240)------------------------------
% 1.77/0.62  % (31240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.62  % (31240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.62  % (31240)Termination reason: Unknown
% 1.77/0.62  % (31240)Termination phase: Finite model building preprocessing
% 1.77/0.62  
% 1.77/0.62  % (31240)Memory used [KB]: 7036
% 1.77/0.62  % (31240)Time elapsed: 0.028 s
% 1.77/0.62  % (31240)Instructions burned: 60 (million)
% 1.77/0.62  % (31240)------------------------------
% 1.77/0.62  % (31240)------------------------------
% 2.22/0.63  % (31351)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.22/0.64  % (31242)Instruction limit reached!
% 2.22/0.64  % (31242)------------------------------
% 2.22/0.64  % (31242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.64  % (31242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.64  % (31242)Termination reason: Unknown
% 2.22/0.64  % (31242)Termination phase: Saturation
% 2.22/0.64  
% 2.22/0.64  % (31242)Memory used [KB]: 1918
% 2.22/0.64  % (31242)Time elapsed: 0.238 s
% 2.22/0.64  % (31242)Instructions burned: 100 (million)
% 2.22/0.64  % (31242)------------------------------
% 2.22/0.64  % (31242)------------------------------
% 2.22/0.65  % (31238)Instruction limit reached!
% 2.22/0.65  % (31238)------------------------------
% 2.22/0.65  % (31238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65  % (31238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65  % (31238)Termination reason: Unknown
% 2.22/0.65  % (31238)Termination phase: Saturation
% 2.22/0.65  
% 2.22/0.65  % (31238)Memory used [KB]: 1918
% 2.22/0.65  % (31238)Time elapsed: 0.227 s
% 2.22/0.65  % (31238)Instructions burned: 75 (million)
% 2.22/0.65  % (31238)------------------------------
% 2.22/0.65  % (31238)------------------------------
% 2.36/0.66  % (31355)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.36/0.67  TRYING [2,2,2,1,1]
% 2.36/0.67  % (31235)Instruction limit reached!
% 2.36/0.67  % (31235)------------------------------
% 2.36/0.67  % (31235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.67  % (31234)Instruction limit reached!
% 2.36/0.67  % (31234)------------------------------
% 2.36/0.67  % (31234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.67  % (31234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.67  % (31234)Termination reason: Unknown
% 2.36/0.67  % (31234)Termination phase: Saturation
% 2.36/0.67  
% 2.36/0.67  % (31234)Memory used [KB]: 6908
% 2.36/0.67  % (31234)Time elapsed: 0.299 s
% 2.36/0.67  % (31234)Instructions burned: 101 (million)
% 2.36/0.67  % (31234)------------------------------
% 2.36/0.67  % (31234)------------------------------
% 2.36/0.68  % (31236)Instruction limit reached!
% 2.36/0.68  % (31236)------------------------------
% 2.36/0.68  % (31236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.68  % (31241)Instruction limit reached!
% 2.36/0.68  % (31241)------------------------------
% 2.36/0.68  % (31241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.68  % (31241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.68  % (31241)Termination reason: Unknown
% 2.36/0.68  % (31241)Termination phase: Saturation
% 2.36/0.68  
% 2.36/0.68  % (31241)Memory used [KB]: 6908
% 2.36/0.68  % (31241)Time elapsed: 0.288 s
% 2.36/0.68  % (31241)Instructions burned: 100 (million)
% 2.36/0.68  % (31241)------------------------------
% 2.36/0.68  % (31241)------------------------------
% 2.36/0.69  % (31364)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.36/0.69  % (31235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.69  % (31235)Termination reason: Unknown
% 2.36/0.69  % (31235)Termination phase: Saturation
% 2.36/0.69  
% 2.36/0.69  % (31235)Memory used [KB]: 6652
% 2.36/0.69  % (31235)Time elapsed: 0.279 s
% 2.36/0.69  % (31235)Instructions burned: 101 (million)
% 2.36/0.69  % (31235)------------------------------
% 2.36/0.69  % (31235)------------------------------
% 2.36/0.69  % (31239)Instruction limit reached!
% 2.36/0.69  % (31239)------------------------------
% 2.36/0.69  % (31239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.69  % (31239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.69  % (31239)Termination reason: Unknown
% 2.36/0.69  % (31239)Termination phase: Saturation
% 2.36/0.69  
% 2.36/0.69  % (31239)Memory used [KB]: 7547
% 2.36/0.69  % (31239)Time elapsed: 0.319 s
% 2.36/0.69  % (31239)Instructions burned: 99 (million)
% 2.36/0.69  % (31239)------------------------------
% 2.36/0.69  % (31239)------------------------------
% 2.36/0.69  % (31372)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.36/0.70  % (31236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.70  % (31236)Termination reason: Unknown
% 2.36/0.70  % (31236)Termination phase: Saturation
% 2.36/0.70  
% 2.36/0.70  % (31236)Memory used [KB]: 6908
% 2.36/0.70  % (31236)Time elapsed: 0.292 s
% 2.36/0.70  % (31236)Instructions burned: 99 (million)
% 2.36/0.70  % (31236)------------------------------
% 2.36/0.70  % (31236)------------------------------
% 2.36/0.70  % (31363)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.36/0.71  % (31369)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.36/0.72  % (31375)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.67/0.73  % (31387)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.67/0.73  % (31376)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.67/0.74  % (31377)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.67/0.75  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.67/0.75  % (31384)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.67/0.75  % (31389)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.67/0.76  % (31244)Instruction limit reached!
% 2.67/0.76  % (31244)------------------------------
% 2.67/0.76  % (31244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.76  % (31244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.76  % (31244)Termination reason: Unknown
% 2.67/0.76  % (31244)Termination phase: Saturation
% 2.67/0.76  
% 2.67/0.76  % (31244)Memory used [KB]: 7164
% 2.67/0.76  % (31244)Time elapsed: 0.381 s
% 2.67/0.76  % (31244)Instructions burned: 139 (million)
% 2.67/0.76  % (31244)------------------------------
% 2.67/0.76  % (31244)------------------------------
% 2.67/0.76  TRYING [2,3,2,1,1]
% 2.67/0.76  % (31243)Instruction limit reached!
% 2.67/0.76  % (31243)------------------------------
% 2.67/0.76  % (31243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.76  % (31243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.76  % (31243)Termination reason: Unknown
% 2.67/0.76  % (31243)Termination phase: Saturation
% 2.67/0.76  
% 2.67/0.76  % (31243)Memory used [KB]: 6524
% 2.67/0.76  % (31243)Time elapsed: 0.362 s
% 2.67/0.76  % (31243)Instructions burned: 176 (million)
% 2.67/0.76  % (31243)------------------------------
% 2.67/0.76  % (31243)------------------------------
% 2.81/0.78  % (31388)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.81/0.80  % (31396)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.81/0.80  % (31400)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.81/0.81  % (31425)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.81/0.81  % (31421)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.81/0.82  % (31251)Instruction limit reached!
% 2.81/0.82  % (31251)------------------------------
% 2.81/0.82  % (31251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.82  % (31251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.82  % (31251)Termination reason: Unknown
% 2.81/0.82  % (31251)Termination phase: Saturation
% 2.81/0.82  
% 2.81/0.82  % (31251)Memory used [KB]: 2558
% 2.81/0.82  % (31251)Time elapsed: 0.416 s
% 2.81/0.82  % (31251)Instructions burned: 177 (million)
% 2.81/0.82  % (31251)------------------------------
% 2.81/0.82  % (31251)------------------------------
% 2.81/0.82  % (31414)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.81/0.83  % (31429)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.81/0.83  % (31410)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.81/0.84  % (31376)Instruction limit reached!
% 2.81/0.84  % (31376)------------------------------
% 2.81/0.84  % (31376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.84  % (31376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.84  % (31376)Termination reason: Unknown
% 2.81/0.84  % (31376)Termination phase: Saturation
% 2.81/0.84  
% 2.81/0.84  % (31376)Memory used [KB]: 7036
% 2.81/0.84  % (31376)Time elapsed: 0.059 s
% 2.81/0.84  % (31376)Instructions burned: 69 (million)
% 2.81/0.84  % (31376)------------------------------
% 2.81/0.84  % (31376)------------------------------
% 3.13/0.87  % (31363)Instruction limit reached!
% 3.13/0.87  % (31363)------------------------------
% 3.13/0.87  % (31363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.88  % (31363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.88  % (31363)Termination reason: Unknown
% 3.13/0.88  % (31363)Termination phase: Saturation
% 3.13/0.88  
% 3.13/0.88  % (31363)Memory used [KB]: 7164
% 3.13/0.88  % (31363)Time elapsed: 0.287 s
% 3.13/0.88  % (31363)Instructions burned: 90 (million)
% 3.13/0.88  % (31363)------------------------------
% 3.13/0.88  % (31363)------------------------------
% 3.13/0.88  % (31446)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.13/0.88  % (31387)Instruction limit reached!
% 3.13/0.88  % (31387)------------------------------
% 3.13/0.88  % (31387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.88  % (31387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.88  % (31387)Termination reason: Unknown
% 3.13/0.88  % (31387)Termination phase: Saturation
% 3.13/0.88  
% 3.13/0.88  % (31387)Memory used [KB]: 7164
% 3.13/0.88  % (31387)Time elapsed: 0.246 s
% 3.13/0.88  % (31387)Instructions burned: 91 (million)
% 3.13/0.88  % (31387)------------------------------
% 3.13/0.88  % (31387)------------------------------
% 3.13/0.89  % (31447)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.13/0.92  % (31421)Instruction limit reached!
% 3.13/0.92  % (31421)------------------------------
% 3.13/0.92  % (31421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.92  % (31421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.92  % (31421)Termination reason: Unknown
% 3.13/0.92  % (31421)Termination phase: Saturation
% 3.13/0.92  
% 3.13/0.92  % (31421)Memory used [KB]: 7164
% 3.13/0.92  % (31421)Time elapsed: 0.034 s
% 3.13/0.92  % (31421)Instructions burned: 69 (million)
% 3.13/0.92  % (31421)------------------------------
% 3.13/0.92  % (31421)------------------------------
% 3.43/0.93  % (31355)Instruction limit reached!
% 3.43/0.93  % (31355)------------------------------
% 3.43/0.93  % (31355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.94  % (31355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.94  % (31355)Termination reason: Unknown
% 3.43/0.94  % (31355)Termination phase: Saturation
% 3.43/0.94  
% 3.43/0.94  % (31355)Memory used [KB]: 2558
% 3.43/0.94  % (31355)Time elapsed: 0.336 s
% 3.43/0.94  % (31355)Instructions burned: 213 (million)
% 3.43/0.94  % (31355)------------------------------
% 3.43/0.94  % (31355)------------------------------
% 3.63/0.96  % (31448)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.63/0.96  TRYING [3,3,2,1,1]
% 3.63/0.97  % (31450)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.63/0.98  % (31449)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.63/1.01  % (31384)First to succeed.
% 3.79/1.03  % (31451)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.79/1.03  % (31384)Refutation found. Thanks to Tanya!
% 3.79/1.03  % SZS status Theorem for theBenchmark
% 3.79/1.03  % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.03  % (31384)------------------------------
% 3.79/1.03  % (31384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.79/1.03  % (31384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.79/1.03  % (31384)Termination reason: Refutation
% 3.79/1.03  
% 3.79/1.03  % (31384)Memory used [KB]: 9210
% 3.79/1.03  % (31384)Time elapsed: 0.375 s
% 3.79/1.03  % (31384)Instructions burned: 183 (million)
% 3.79/1.03  % (31384)------------------------------
% 3.79/1.03  % (31384)------------------------------
% 3.79/1.03  % (31219)Success in time 0.7 s
%------------------------------------------------------------------------------