TSTP Solution File: ITP020_2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP020_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 : Sun May  5 06:48:35 EDT 2024

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  113
% Syntax   : Number of formulae    :  136 (  12 unt; 107 typ;   0 def)
%            Number of atoms       :  140 (   0 equ)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   58 (  23   ~;  15   |;  11   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of FOOLs       :   76 (  76 fml;   0 var)
%            Number of types       :    6 (   4 usr)
%            Number of type conns  :  227 (  98   >; 129   *;   0   +;   0  <<)
%            Number of predicates  :   57 (  56 usr;   2 prp; 0-5 aty)
%            Number of functors    :   50 (  50 usr;   5 con; 0-4 aty)
%            Number of variables   :   63 (  52   !;  11   ?;  41   :)

% 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,
    sK24: ( del * del * $i ) > $i ).

tff(func_def_33,type,
    sK25: ( del * del * $i ) > $i ).

tff(func_def_34,type,
    sK27: ( del * $i * $i ) > $i ).

tff(func_def_35,type,
    sK28: ( del * $i * $i ) > $i ).

tff(func_def_36,type,
    sK30: ( del * tp__o * $i ) > $i ).

tff(func_def_37,type,
    sK32: ( del * $i ) > $i ).

tff(func_def_38,type,
    sK33: ( del * tp__o * $i ) > $i ).

tff(func_def_39,type,
    sK35: ( del * $i ) > $i ).

tff(func_def_40,type,
    sK36: ( del * tp__o * $i ) > $i ).

tff(func_def_41,type,
    sK38: ( del * $i ) > $i ).

tff(func_def_42,type,
    sK39: ( del * $i * tp__o ) > $i ).

tff(func_def_43,type,
    sK41: ( del * $i ) > $i ).

tff(func_def_44,type,
    sK43: ( del * $i ) > $i ).

tff(func_def_45,type,
    sK44: ( del * tp__o * $i ) > $i ).

tff(func_def_46,type,
    sK46: ( del * $i ) > $i ).

tff(func_def_47,type,
    sK47: ( del * $i * tp__o ) > $i ).

tff(func_def_48,type,
    sK49: ( del * $i ) > $i ).

tff(func_def_49,type,
    sK50: ( del * tp__o * $i ) > $i ).

tff(func_def_50,type,
    sK52: ( del * $i ) > $i ).

tff(func_def_51,type,
    sK53: ( del * $i * tp__o ) > $i ).

tff(func_def_52,type,
    sK54: ( del * $i ) > $i ).

tff(func_def_53,type,
    sK55: ( del * $i ) > $i ).

tff(func_def_54,type,
    sK59: ( del * $i * $i ) > $i ).

tff(func_def_56,type,
    sK61: ( del * del * $i * $i ) > $i ).

tff(func_def_57,type,
    sK62: ( del * del * $i * $i ) > $i ).

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

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

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

tff(pred_def_11,type,
    sP8: ( 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(pred_def_14,type,
    sP11: ( tp__o * tp__o ) > $o ).

tff(pred_def_15,type,
    sP12: ( tp__o * tp__o ) > $o ).

tff(pred_def_16,type,
    sP13: ( tp__o * tp__o ) > $o ).

tff(pred_def_17,type,
    sP14: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_18,type,
    sP15: ( tp__o * tp__o ) > $o ).

tff(pred_def_19,type,
    sP16: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_20,type,
    sP17: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_21,type,
    sP18: ( tp__o * tp__o * tp__o ) > $o ).

tff(pred_def_24,type,
    sP21: ( tp__o * tp__o ) > $o ).

tff(pred_def_25,type,
    sP22: ( tp__o * tp__o ) > $o ).

tff(pred_def_27,type,
    sP26: ( $i * $i * del * del ) > $o ).

tff(pred_def_28,type,
    sP29: ( tp__o * tp__o ) > $o ).

tff(pred_def_29,type,
    sP31: ( $i * $i * tp__o * del ) > $o ).

tff(pred_def_30,type,
    sP34: ( $i * $i * tp__o * del ) > $o ).

tff(pred_def_31,type,
    sP37: ( $i * $i * tp__o * del ) > $o ).

tff(pred_def_32,type,
    sP40: ( $i * tp__o * $i * del ) > $o ).

tff(pred_def_33,type,
    sP42: ( $i * tp__o * del ) > $o ).

tff(pred_def_34,type,
    sP45: ( tp__o * $i * del ) > $o ).

tff(pred_def_35,type,
    sP48: ( $i * tp__o * del ) > $o ).

tff(pred_def_36,type,
    sP51: ( tp__o * $i * del ) > $o ).

tff(pred_def_37,type,
    sP56: ( $i * $i * del ) > $o ).

tff(pred_def_40,type,
    sP63: ( $i * $i * $i * del * del ) > $o ).

tff(pred_def_41,type,
    sP64: ( del * $i * del ) > $o ).

tff(pred_def_42,type,
    sP65: ( del * $i * del ) > $o ).

tff(pred_def_43,type,
    sP66: ( $i * del * $i ) > $o ).

tff(pred_def_44,type,
    sP67: ( del * $i ) > $o ).

tff(pred_def_45,type,
    sP68: ( del * $i ) > $o ).

tff(pred_def_46,type,
    sP69: ( del * $i ) > $o ).

tff(pred_def_47,type,
    sP70: ( del * $i ) > $o ).

tff(pred_def_48,type,
    sP71: ( del * $i ) > $o ).

tff(pred_def_49,type,
    sP72: ( del * $i ) > $o ).

tff(pred_def_50,type,
    sP73: del > $o ).

tff(pred_def_51,type,
    sP74: ( del * $i ) > $o ).

tff(pred_def_52,type,
    sP75: del > $o ).

tff(pred_def_53,type,
    sP76: ( del * $i ) > $o ).

tff(pred_def_54,type,
    sP77: ( del * $i ) > $o ).

tff(pred_def_55,type,
    sP78: ( del * $i ) > $o ).

tff(pred_def_56,type,
    sP79: del > $o ).

tff(pred_def_57,type,
    sP80: ( del * $i ) > $o ).

tff(pred_def_58,type,
    sP81: del > $o ).

tff(pred_def_59,type,
    sP82: ( del * $i ) > $o ).

tff(f429,plain,
    $false,
    inference(unit_resulting_resolution,[],[f358,f359,f418,f355]) ).

tff(f355,plain,
    ! [X2: $i,X3: $i,X0: del,X1: del] :
      ( ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,X0)
      | mem(ap(X2,X3),X1) ),
    inference(cnf_transformation,[],[f143]) ).

tff(f143,plain,
    ! [X0: del,X1: del,X2] :
      ( ! [X3] :
          ( mem(ap(X2,X3),X1)
          | ~ mem(X3,X0) )
      | ~ mem(X2,arr(X0,X1)) ),
    inference(ennf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: del,X1: del,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.5ZybypxzbL/Vampire---4.8_19887',ap_tp) ).

tff(f418,plain,
    ~ mem(ap(c_2Epred__set_2ECROSS(ty_2Enum_2Enum,ty_2Enum_2Enum),c_2Epred__set_2EUNIV(ty_2Enum_2Enum)),arr(arr(ty_2Enum_2Enum,bool),arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),bool))),
    inference(unit_resulting_resolution,[],[f358,f410,f355]) ).

tff(f410,plain,
    ~ mem(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_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),bool)),
    inference(unit_resulting_resolution,[],[f358,f356,f357,f409,f363]) ).

tff(f363,plain,
    ! [X2: $i,X3: $i,X0: del,X1: del,X4: $i] :
      ( ~ p(ap(ap(ap(c_2Epred__set_2EBIJ(X0,X1),X4),X2),X3))
      | ~ mem(X3,arr(X1,bool))
      | sP63(sK62(X0,X1,X2,X3),X3,X2,X1,X0)
      | ~ mem(X4,arr(X0,X1))
      | ~ mem(X2,arr(X0,bool)) ),
    inference(cnf_transformation,[],[f144]) ).

tff(f144,plain,
    ! [X0: del,X1: del,X2] :
      ( ! [X3] :
          ( ( ? [X4] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X0,X1),X4),X2),X3))
                & mem(X4,arr(X0,X1)) )
          <=> ? [X5] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X0),X5),X3),X2))
                & mem(X5,arr(X1,X0)) ) )
          | ~ mem(X3,arr(X1,bool)) )
      | ~ mem(X2,arr(X0,bool)) ),
    inference(ennf_transformation,[],[f108]) ).

tff(f108,plain,
    ! [X0: del,X1: del,X2] :
      ( mem(X2,arr(X0,bool))
     => ! [X3] :
          ( mem(X3,arr(X1,bool))
         => ( ? [X4] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X0,X1),X4),X2),X3))
                & mem(X4,arr(X0,X1)) )
          <=> ? [X5] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X0),X5),X3),X2))
                & mem(X5,arr(X1,X0)) ) ) ) ),
    inference(rectify,[],[f61]) ).

tff(f61,axiom,
    ! [X10: del,X11: del,X29] :
      ( mem(X29,arr(X10,bool))
     => ! [X30] :
          ( mem(X30,arr(X11,bool))
         => ( ? [X31] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X10,X11),X31),X29),X30))
                & mem(X31,arr(X10,X11)) )
          <=> ? [X32] :
                ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X11,X10),X32),X30),X29))
                & mem(X32,arr(X11,X10)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.5ZybypxzbL/Vampire---4.8_19887',conj_thm_2Epred__set_2EBIJ__SYM) ).

tff(f409,plain,
    ! [X0: $i] : ~ sP63(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)),ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)),
    inference(subsumption_resolution,[],[f407,f361]) ).

tff(f361,plain,
    ! [X2: $i,X3: $i,X0: del,X1: del,X5: $i] :
      ( ~ sP63(X5,X3,X2,X1,X0)
      | mem(X5,arr(X1,X0)) ),
    inference(cnf_transformation,[],[f144]) ).

tff(f407,plain,
    ! [X0: $i] :
      ( ~ mem(X0,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)))
      | ~ sP63(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)),ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum)) ),
    inference(resolution,[],[f148,f362]) ).

tff(f362,plain,
    ! [X2: $i,X3: $i,X0: del,X1: del,X5: $i] :
      ( p(ap(ap(ap(c_2Epred__set_2EBIJ(X1,X0),X5),X3),X2))
      | ~ sP63(X5,X3,X2,X1,X0) ),
    inference(cnf_transformation,[],[f144]) ).

tff(f148,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,[],[f112]) ).

tff(f112,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(ennf_transformation,[],[f75]) ).

tff(f75,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] :
        ( 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))))
        & mem(X36,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))) ),
    inference(negated_conjecture,[],[f73]) ).

tff(f73,conjecture,
    ? [X36] :
      ( 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))))
      & mem(X36,arr(ty_2Enum_2Enum,ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum))) ),
    file('/export/starexec/sandbox/tmp/tmp.5ZybypxzbL/Vampire---4.8_19887',conj_thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).

tff(f357,plain,
    p(ap(ap(ap(c_2Epred__set_2EBIJ(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum),sK60),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,[],[f105]) ).

tff(f105,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] :
      ( 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)))
      & mem(X36,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)) ),
    file('/export/starexec/sandbox/tmp/tmp.5ZybypxzbL/Vampire---4.8_19887',conj_thm_2Eutil__prob_2ENUM__2D__BIJ) ).

tff(f356,plain,
    mem(sK60,arr(ty_2Epair_2Eprod(ty_2Enum_2Enum,ty_2Enum_2Enum),ty_2Enum_2Enum)),
    inference(cnf_transformation,[],[f105]) ).

tff(f359,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,[],[f107]) ).

tff(f107,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,[],[f32]) ).

tff(f32,axiom,
    ! [X10: del,X11: 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/sandbox/tmp/tmp.5ZybypxzbL/Vampire---4.8_19887',mem_c_2Epred__set_2ECROSS) ).

tff(f358,plain,
    ! [X0: del] : mem(c_2Epred__set_2EUNIV(X0),arr(X0,bool)),
    inference(cnf_transformation,[],[f106]) ).

tff(f106,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/sandbox/tmp/tmp.5ZybypxzbL/Vampire---4.8_19887',mem_c_2Epred__set_2EUNIV) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ITP020_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 19:07:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TF0_THM_EQU_NAR problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.5ZybypxzbL/Vampire---4.8_19887
% 0.57/0.75  % (20002)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75  % (19995)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (19999)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (19998)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (19996)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75  % (19997)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (20000)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (20001)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75  % (20000)Refutation not found, incomplete strategy% (20000)------------------------------
% 0.57/0.75  % (20000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (20000)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (20000)Memory used [KB]: 1347
% 0.57/0.75  % (20000)Time elapsed: 0.006 s
% 0.57/0.75  % (20000)Instructions burned: 9 (million)
% 0.57/0.75  % (20000)------------------------------
% 0.57/0.75  % (20000)------------------------------
% 0.57/0.76  % (20001)First to succeed.
% 0.57/0.76  % (19995)Also succeeded, but the first one will report.
% 0.57/0.76  % (20003)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.76  % (20001)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19994"
% 0.57/0.76  % (20001)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Theorem for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (20001)------------------------------
% 0.57/0.76  % (20001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (20001)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (20001)Memory used [KB]: 1345
% 0.57/0.76  % (20001)Time elapsed: 0.012 s
% 0.57/0.76  % (20001)Instructions burned: 19 (million)
% 0.57/0.76  % (19994)Success in time 0.391 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------