TSTP Solution File: ITP006_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP006_1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 22:30:07 EDT 2024

% Result   : Theorem 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   99
% Syntax   : Number of formulae    :  119 (   6 unt;  86 typ;   0 def)
%            Number of atoms       :  248 (  30 equ)
%            Maximal formula atoms :   32 (   7 avg)
%            Number of connectives :  323 ( 108   ~;  76   |;  93   &)
%                                         (  18 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   9 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :  119 (  50   >;  69   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   69 (  69 usr;  30 con; 0-4 aty)
%            Number of variables   :  293 ( 225   !;  67   ?; 293   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

tff(type_def_8,type,
    mono_2Etyop_2Emin_2Ebool: $tType ).

tff(type_def_9,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).

tff(type_def_10,type,
    mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).

tff(func_def_0,type,
    tyop_2Emin_2Ebool: d ).

tff(func_def_1,type,
    tyop_2Emin_2Efun: ( d * d ) > d ).

tff(func_def_2,type,
    s: ( d * u ) > du ).

tff(func_def_3,type,
    app_2E2: ( du * du ) > u ).

tff(func_def_4,type,
    combin_i_2E0: u ).

tff(func_def_5,type,
    combin_k_2E0: u ).

tff(func_def_6,type,
    combin_s_2E0: u ).

tff(func_def_7,type,
    c_2Ebool_2E_21_2E0: u ).

tff(func_def_8,type,
    c_2Ebool_2E_21_2E1: du > u ).

tff(func_def_9,type,
    c_2Ebool_2E_2F_5C_2E0: u ).

tff(func_def_10,type,
    c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).

tff(func_def_11,type,
    c_2Emin_2E_3D_2E0: u ).

tff(func_def_12,type,
    c_2Emin_2E_3D_2E2: ( du * du ) > u ).

tff(func_def_13,type,
    c_2Emin_2E_3D_3D_3E_2E0: u ).

tff(func_def_14,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).

tff(func_def_15,type,
    c_2Ebool_2E_3F_2E0: u ).

tff(func_def_16,type,
    c_2Ebool_2E_3F_2E1: du > u ).

tff(func_def_17,type,
    c_2Ebool_2EF_2E0: u ).

tff(func_def_18,type,
    c_2EquantHeuristics_2EGUESS__EXISTS_2E0: u ).

tff(func_def_19,type,
    c_2EquantHeuristics_2EGUESS__EXISTS_2E2: ( du * du ) > u ).

tff(func_def_20,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0: u ).

tff(func_def_21,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: ( du * du ) > u ).

tff(func_def_22,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0: u ).

tff(func_def_23,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: ( du * du ) > u ).

tff(func_def_24,type,
    c_2EquantHeuristics_2EGUESS__FORALL_2E0: u ).

tff(func_def_25,type,
    c_2EquantHeuristics_2EGUESS__FORALL_2E2: ( du * du ) > u ).

tff(func_def_26,type,
    c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0: u ).

tff(func_def_27,type,
    c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: ( du * du ) > u ).

tff(func_def_28,type,
    c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0: u ).

tff(func_def_29,type,
    c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: ( du * du ) > u ).

tff(func_def_30,type,
    c_2Ebool_2ET_2E0: u ).

tff(func_def_31,type,
    c_2Ebool_2E_5C_2F_2E0: u ).

tff(func_def_32,type,
    c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).

tff(func_def_33,type,
    c_2Ebool_2E_7E_2E0: u ).

tff(func_def_34,type,
    c_2Ebool_2E_7E_2E1: du > u ).

tff(func_def_35,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_36,type,
    mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_37,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_38,type,
    mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_39,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_40,type,
    mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_41,type,
    mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_42,type,
    mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).

tff(func_def_43,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_44,type,
    mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_45,type,
    mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_46,type,
    mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_47,type,
    i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).

tff(func_def_48,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).

tff(func_def_49,type,
    i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).

tff(func_def_50,type,
    j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).

tff(func_def_51,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).

tff(func_def_52,type,
    j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).

tff(func_def_53,type,
    sK9: d ).

tff(func_def_54,type,
    sK10: d ).

tff(func_def_55,type,
    sK11: u ).

tff(func_def_56,type,
    sK12: u ).

tff(func_def_57,type,
    sK13: u ).

tff(func_def_58,type,
    sK14: ( d * d * u * u ) > u ).

tff(func_def_59,type,
    sK15: ( d * d * u * u ) > u ).

tff(func_def_60,type,
    sK16: ( d * d * u * u ) > u ).

tff(func_def_61,type,
    sK17: ( d * d * u * u ) > u ).

tff(func_def_62,type,
    sK18: ( d * d * u * u ) > u ).

tff(func_def_63,type,
    sK19: ( d * d * u * u ) > u ).

tff(func_def_64,type,
    sK20: ( d * d * u * u ) > u ).

tff(func_def_65,type,
    sK21: ( d * d * u * u ) > u ).

tff(func_def_66,type,
    sK22: ( d * d * u * u ) > u ).

tff(func_def_67,type,
    sK23: ( d * d * u * u ) > u ).

tff(func_def_68,type,
    sK24: ( d * d * u * u ) > u ).

tff(pred_def_1,type,
    p: mono_2Etyop_2Emin_2Ebool > $o ).

tff(pred_def_2,type,
    sP0: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_3,type,
    sP1: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_4,type,
    sP2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_5,type,
    sP3: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_6,type,
    sP4: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_7,type,
    sP5: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_8,type,
    sP6: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_9,type,
    sP7: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_10,type,
    sP8: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).

tff(pred_def_11,type,
    sQ25_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f656,plain,
    $false,
    inference(subsumption_resolution,[],[f630,f160]) ).

tff(f160,plain,
    ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK13))))),
    inference(cnf_transformation,[],[f102]) ).

tff(f102,plain,
    ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK13)))))
    & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK12)))))
    & ! [X5: u] :
        ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK12),s(sK9,X5)))))
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK13),s(sK9,X5))))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f75,f101]) ).

tff(f101,plain,
    ( ? [X0: d,X1: d,X2: u,X3: u,X4: u] :
        ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))))
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
        & ! [X5: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5)))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5))))) ) )
   => ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK13)))))
      & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK12)))))
      & ! [X5: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK12),s(sK9,X5)))))
          | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK13),s(sK9,X5))))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f75,plain,
    ? [X0: d,X1: d,X2: u,X3: u,X4: u] :
      ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))))
      & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
      & ! [X5: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5)))))
          | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5))))) ) ),
    inference(flattening,[],[f74]) ).

tff(f74,plain,
    ? [X0: d,X1: d,X2: u,X3: u,X4: u] :
      ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))))
      & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
      & ! [X5: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5)))))
          | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5))))) ) ),
    inference(ennf_transformation,[],[f59]) ).

tff(f59,plain,
    ~ ! [X0: d,X1: d,X2: u,X3: u,X4: u] :
        ( ! [X5: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5)))))
           => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X5))))) )
       => ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
         => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))) ) ),
    inference(rectify,[],[f58]) ).

tff(f58,negated_conjecture,
    ~ ! [X0: d,X1: d,X20: u,X21: u,X48: u] :
        ( ! [X49: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48),s(X0,X49)))))
           => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21),s(X0,X49))))) )
       => ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21)))))
         => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48))))) ) ),
    inference(negated_conjecture,[],[f57]) ).

tff(f57,conjecture,
    ! [X0: d,X1: d,X20: u,X21: u,X48: u] :
      ( ! [X49: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48),s(X0,X49)))))
         => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21),s(X0,X49))))) )
     => ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21)))))
       => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48))))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).

tff(f630,plain,
    p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK13))))),
    inference(resolution,[],[f429,f260]) ).

tff(f260,plain,
    ! [X0: d,X1: d,X16: u,X17: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,sK19(X0,X1,X16,X17))))))))
      | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))) ),
    inference(cnf_transformation,[],[f157]) ).

tff(f157,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ! [X4: u,X5: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))))
            | ( ! [X7: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) != s(X1,sK15(X0,X1,X4,X5)) )
              & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,sK15(X0,X1,X4,X5)))))) ) )
          & ( ! [X8: u] :
                ( ( s(X1,X8) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,sK16(X0,X1,X4,X8)))) )
                | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X8))))) )
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) ) )
      & ! [X10: u,X11: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11)))))
            | ( ! [X13: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X13))) != s(X1,sK17(X0,X1,X10,X11)) )
              & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,sK17(X0,X1,X10,X11)))))) ) )
          & ( ! [X14: u] :
                ( ( s(X1,X14) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,sK18(X0,X1,X10,X14)))) )
                | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,X14))))) )
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11))))) ) )
      & ! [X16: u,X17: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))))
            | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,sK19(X0,X1,X16,X17)))))))) )
          & ( ! [X19: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X19)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))) ) )
      & ! [X20: u,X21: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,sK20(X0,X1,X20,X21)))))))) )
          & ( ! [X23: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21))))) ) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ( ! [X25: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X25)))))))
          & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK21(X0,X1,X2,X3)))))) ) )
      & ( ! [X26: u] :
            ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK22(X0,X1,X2,X3))))))))
            | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X26))))) )
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ( ! [X29: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X29)))))))
          & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK23(X0,X1,X2,X3)))))) ) )
      & ( ! [X30: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK24(X0,X1,X2,X3))))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X30))))) )
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24])],[f146,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147]) ).

tff(f147,plain,
    ! [X0: d,X1: d,X4: u,X5: u] :
      ( ? [X6: u] :
          ( ! [X7: u] : ( s(X1,X6) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) )
          & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) )
     => ( ! [X7: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) != s(X1,sK15(X0,X1,X4,X5)) )
        & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,sK15(X0,X1,X4,X5)))))) ) ),
    introduced(choice_axiom,[]) ).

tff(f148,plain,
    ! [X0: d,X1: d,X4: u,X8: u] :
      ( ? [X9: u] : ( s(X1,X8) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X9))) )
     => ( s(X1,X8) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,sK16(X0,X1,X4,X8)))) ) ),
    introduced(choice_axiom,[]) ).

tff(f149,plain,
    ! [X0: d,X1: d,X10: u,X11: u] :
      ( ? [X12: u] :
          ( ! [X13: u] : ( s(X1,X12) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X13))) )
          & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,X12))))) )
     => ( ! [X13: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X13))) != s(X1,sK17(X0,X1,X10,X11)) )
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,sK17(X0,X1,X10,X11)))))) ) ),
    introduced(choice_axiom,[]) ).

tff(f150,plain,
    ! [X0: d,X1: d,X10: u,X14: u] :
      ( ? [X15: u] : ( s(X1,X14) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X15))) )
     => ( s(X1,X14) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,sK18(X0,X1,X10,X14)))) ) ),
    introduced(choice_axiom,[]) ).

tff(f151,plain,
    ! [X0: d,X1: d,X16: u,X17: u] :
      ( ? [X18: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X18)))))))
     => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,sK19(X0,X1,X16,X17)))))))) ),
    introduced(choice_axiom,[]) ).

tff(f152,plain,
    ! [X0: d,X1: d,X20: u,X21: u] :
      ( ? [X22: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X22)))))))
     => ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,sK20(X0,X1,X20,X21)))))))) ),
    introduced(choice_axiom,[]) ).

tff(f153,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ? [X24: u] :
          ( ! [X25: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X25)))))))
          & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X24))))) )
     => ( ! [X25: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X25)))))))
        & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK21(X0,X1,X2,X3)))))) ) ),
    introduced(choice_axiom,[]) ).

tff(f154,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ? [X27: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X27)))))))
     => ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK22(X0,X1,X2,X3)))))))) ),
    introduced(choice_axiom,[]) ).

tff(f155,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ? [X28: u] :
          ( ! [X29: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X29)))))))
          & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X28))))) )
     => ( ! [X29: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X29)))))))
        & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,sK23(X0,X1,X2,X3)))))) ) ),
    introduced(choice_axiom,[]) ).

tff(f156,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ? [X31: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X31)))))))
     => p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,sK24(X0,X1,X2,X3)))))))) ),
    introduced(choice_axiom,[]) ).

tff(f146,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ! [X4: u,X5: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))))
            | ? [X6: u] :
                ( ! [X7: u] : ( s(X1,X6) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) )
                & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) ) )
          & ( ! [X8: u] :
                ( ? [X9: u] : ( s(X1,X8) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X9))) )
                | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X8))))) )
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) ) )
      & ! [X10: u,X11: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11)))))
            | ? [X12: u] :
                ( ! [X13: u] : ( s(X1,X12) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X13))) )
                & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,X12))))) ) )
          & ( ! [X14: u] :
                ( ? [X15: u] : ( s(X1,X14) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(X0,X15))) )
                | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11),s(X1,X14))))) )
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X10),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X11))))) ) )
      & ! [X16: u,X17: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))))
            | ? [X18: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X18))))))) )
          & ( ! [X19: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X19)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17))))) ) )
      & ! [X20: u,X21: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))))
            | ? [X22: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X22))))))) )
          & ( ! [X23: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21))))) ) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ? [X24: u] :
            ( ! [X25: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X25)))))))
            & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X24))))) ) )
      & ( ! [X26: u] :
            ( ? [X27: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X27)))))))
            | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X26))))) )
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ? [X28: u] :
            ( ! [X29: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X29)))))))
            & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X28))))) ) )
      & ( ! [X30: u] :
            ( ? [X31: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X31)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X30))))) )
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) ) ),
    inference(rectify,[],[f145]) ).

tff(f145,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ! [X4: u,X5: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))))
            | ? [X6: u] :
                ( ! [X7: u] : ( s(X1,X6) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) )
                & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) ) )
          & ( ! [X6: u] :
                ( ? [X7: u] : ( s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) )
                | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) )
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) ) )
      & ! [X8: u,X9: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9)))))
            | ? [X10: u] :
                ( ! [X11: u] : ( s(X1,X10) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) )
                & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))) ) )
          & ( ! [X10: u] :
                ( ? [X11: u] : ( s(X1,X10) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) )
                | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))) )
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))) ) )
      & ! [X12: u,X13: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13)))))
            | ? [X14: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14))))))) )
          & ( ! [X14: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))))) ) )
      & ! [X15: u,X16: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16)))))
            | ? [X17: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17))))))) )
          & ( ! [X17: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16))))) ) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ? [X18: u] :
            ( ! [X19: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))))
            & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))) ) )
      & ( ! [X18: u] :
            ( ? [X19: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))))
            | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))) )
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ? [X20: u] :
            ( ! [X21: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))))
            & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20))))) ) )
      & ( ! [X20: u] :
            ( ? [X21: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20))))) )
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) ) ),
    inference(flattening,[],[f144]) ).

tff(f144,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ! [X4: u,X5: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))))
            | ? [X6: u] :
                ( ! [X7: u] : ( s(X1,X6) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) )
                & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) ) )
          & ( ! [X6: u] :
                ( ? [X7: u] : ( s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) )
                | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) )
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) ) )
      & ! [X8: u,X9: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9)))))
            | ? [X10: u] :
                ( ! [X11: u] : ( s(X1,X10) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) )
                & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))) ) )
          & ( ! [X10: u] :
                ( ? [X11: u] : ( s(X1,X10) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) )
                | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))) )
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9))))) ) )
      & ! [X12: u,X13: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13)))))
            | ? [X14: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14))))))) )
          & ( ! [X14: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13))))) ) )
      & ! [X15: u,X16: u] :
          ( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16)))))
            | ? [X17: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17))))))) )
          & ( ! [X17: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16))))) ) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ? [X18: u] :
            ( ! [X19: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))))
            & ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))) ) )
      & ( ! [X18: u] :
            ( ? [X19: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))))
            | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))) )
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
        | ? [X20: u] :
            ( ! [X21: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))))
            & p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20))))) ) )
      & ( ! [X20: u] :
            ( ? [X21: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20))))) )
        | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) ) ),
    inference(nnf_transformation,[],[f87]) ).

tff(f87,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ! [X4: u,X5: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))))
        <=> ! [X6: u] :
              ( ? [X7: u] : ( s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) )
              | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6))))) ) )
      & ! [X8: u,X9: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9)))))
        <=> ! [X10: u] :
              ( ? [X11: u] : ( s(X1,X10) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) )
              | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10))))) ) )
      & ! [X12: u,X13: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13)))))
        <=> ! [X14: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14))))))) )
      & ! [X15: u,X16: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16)))))
        <=> ! [X17: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17))))))) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
      <=> ! [X18: u] :
            ( ? [X19: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19)))))))
            | p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18))))) ) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
      <=> ! [X20: u] :
            ( ? [X21: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21)))))))
            | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20))))) ) ) ),
    inference(ennf_transformation,[],[f71]) ).

tff(f71,plain,
    ! [X0: d,X1: d,X2: u,X3: u] :
      ( ! [X4: u,X5: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))))
        <=> ! [X6: u] :
              ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,X6)))))
             => ? [X7: u] : ( s(X1,X6) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))) ) ) )
      & ! [X8: u,X9: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9)))))
        <=> ! [X10: u] :
              ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X9),s(X1,X10)))))
             => ? [X11: u] : ( s(X1,X10) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X8),s(X0,X11))) ) ) )
      & ! [X12: u,X13: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13)))))
        <=> ! [X14: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X13),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X12),s(X0,X14))))))) )
      & ! [X15: u,X16: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16)))))
        <=> ! [X17: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X16),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X15),s(X0,X17))))))) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
      <=> ! [X18: u] :
            ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X18)))))
           => ? [X19: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X19))))))) ) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
      <=> ! [X20: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,X20)))))
           => ? [X21: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,X21))))))) ) ) ),
    inference(rectify,[],[f45]) ).

tff(f45,axiom,
    ! [X0: d,X1: d,X20: u,X21: u] :
      ( ! [X36: u,X37: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X36),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X37)))))
        <=> ! [X38: u] :
              ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X37),s(X1,X38)))))
             => ? [X39: u] : ( s(X1,X38) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X36),s(X0,X39))) ) ) )
      & ! [X32: u,X33: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X32),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X33)))))
        <=> ! [X34: u] :
              ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X33),s(X1,X34)))))
             => ? [X35: u] : ( s(X1,X34) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X32),s(X0,X35))) ) ) )
      & ! [X29: u,X30: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X29),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X30)))))
        <=> ! [X31: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X30),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X29),s(X0,X31))))))) )
      & ! [X26: u,X27: u] :
          ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27)))))
        <=> ! [X28: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(X0,X28))))))) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))))
      <=> ! [X24: u] :
            ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X24)))))
           => ? [X25: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X25))))))) ) )
      & ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))))
      <=> ! [X22: u] :
            ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X22)))))
           => ? [X23: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23))))))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).

tff(f429,plain,
    ! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK13),s(sK9,app_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(sK10,X0))))))),
    inference(resolution,[],[f405,f158]) ).

tff(f158,plain,
    ! [X5: u] :
      ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK12),s(sK9,X5)))))
      | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK13),s(sK9,X5))))) ),
    inference(cnf_transformation,[],[f102]) ).

tff(f405,plain,
    ! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK12),s(sK9,app_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(sK10,X0))))))),
    inference(resolution,[],[f259,f159]) ).

tff(f159,plain,
    p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK10,sK9),sK11),s(tyop_2Emin_2Efun(sK9,tyop_2Emin_2Ebool),sK12))))),
    inference(cnf_transformation,[],[f102]) ).

tff(f259,plain,
    ! [X0: d,X1: d,X19: u,X16: u,X17: u] :
      ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17)))))
      | ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X17),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X16),s(X0,X19))))))) ),
    inference(cnf_transformation,[],[f157]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : ITP006_1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat May 18 17:52:53 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a TF0_THM_EQU_NAR problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.76  % (26050)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 theBenchmark for (2995ds/34Mi)
% 0.54/0.76  % (26056)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 theBenchmark for (2995ds/83Mi)
% 0.54/0.76  % (26052)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.54/0.76  % (26057)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.54/0.76  % (26054)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 theBenchmark for (2995ds/34Mi)
% 0.54/0.76  % (26055)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.54/0.77  % (26053)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.54/0.77  % (26057)Refutation not found, incomplete strategy% (26057)------------------------------
% 0.54/0.77  % (26057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (26057)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (26057)Memory used [KB]: 1134
% 0.54/0.77  % (26057)Time elapsed: 0.004 s
% 0.54/0.77  % (26057)Instructions burned: 5 (million)
% 0.54/0.77  % (26055)Refutation not found, incomplete strategy% (26055)------------------------------
% 0.54/0.77  % (26055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (26055)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77  
% 0.54/0.77  % (26055)Memory used [KB]: 1135
% 0.54/0.77  % (26055)Time elapsed: 0.004 s
% 0.54/0.77  % (26055)Instructions burned: 5 (million)
% 0.54/0.77  % (26057)------------------------------
% 0.54/0.77  % (26057)------------------------------
% 0.54/0.77  % (26055)------------------------------
% 0.54/0.77  % (26055)------------------------------
% 0.54/0.77  % (26059)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.54/0.77  % (26051)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 theBenchmark for (2995ds/51Mi)
% 0.60/0.78  % (26053)Refutation not found, incomplete strategy% (26053)------------------------------
% 0.60/0.78  % (26053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (26053)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (26053)Memory used [KB]: 1221
% 0.60/0.78  % (26053)Time elapsed: 0.010 s
% 0.60/0.78  % (26053)Instructions burned: 17 (million)
% 0.60/0.78  % (26053)------------------------------
% 0.60/0.78  % (26053)------------------------------
% 0.60/0.78  % (26050)First to succeed.
% 0.60/0.78  % (26054)Instruction limit reached!
% 0.60/0.78  % (26054)------------------------------
% 0.60/0.78  % (26054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (26054)Termination reason: Unknown
% 0.60/0.78  % (26054)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (26054)Memory used [KB]: 1528
% 0.60/0.78  % (26054)Time elapsed: 0.017 s
% 0.60/0.78  % (26054)Instructions burned: 36 (million)
% 0.60/0.78  % (26054)------------------------------
% 0.60/0.78  % (26054)------------------------------
% 0.60/0.78  % (26060)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.78  % (26050)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26031"
% 0.60/0.78  % (26050)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Theorem for theBenchmark
% 0.60/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.78  % (26050)------------------------------
% 0.60/0.78  % (26050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (26050)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (26050)Memory used [KB]: 1383
% 0.60/0.78  % (26050)Time elapsed: 0.019 s
% 0.60/0.78  % (26050)Instructions burned: 37 (million)
% 0.60/0.78  % (26031)Success in time 0.458 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------