TSTP Solution File: SCT120+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SCT120+1 : TPTP v8.2.0. Released v5.2.0.
% 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 : n022.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 : Tue May 21 02:48:54 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  114 (  24 unt;   0 def)
%            Number of atoms       :  417 (  45 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  514 ( 211   ~; 217   |;  52   &)
%                                         (   9 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   9 con; 0-4 aty)
%            Number of variables   :  221 ( 204   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1352,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1028,f1057,f1327,f1351]) ).

fof(f1351,plain,
    ( ~ spl16_3
    | spl16_5 ),
    inference(avatar_contradiction_clause,[],[f1350]) ).

fof(f1350,plain,
    ( $false
    | ~ spl16_3
    | spl16_5 ),
    inference(subsumption_resolution,[],[f1346,f699]) ).

fof(f699,plain,
    ! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
    inference(cnf_transformation,[],[f549]) ).

fof(f549,plain,
    ! [X0,X1] : c_member(X1,X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3,X4] : c_member(X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_iso__tuple__UNIV__I) ).

fof(f1346,plain,
    ( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)))
    | ~ spl16_3
    | spl16_5 ),
    inference(resolution,[],[f1334,f699]) ).

fof(f1334,plain,
    ( ! [X0] :
        ( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
        | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0) )
    | ~ spl16_3
    | spl16_5 ),
    inference(subsumption_resolution,[],[f1333,f768]) ).

fof(f768,plain,
    ~ c_member(sF13,sF14,sF15),
    inference(definition_folding,[],[f675,f767,f766,f765]) ).

fof(f765,plain,
    tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f766,plain,
    c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f767,plain,
    hAPP(v_P,v_i) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f675,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(cnf_transformation,[],[f532]) ).

fof(f532,plain,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(flattening,[],[f528]) ).

fof(f528,negated_conjecture,
    ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    inference(negated_conjecture,[],[f527]) ).

fof(f527,conjecture,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),hAPP(v_P,v_i)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).

fof(f1333,plain,
    ( ! [X0] :
        ( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)
        | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
        | c_member(sF13,sF14,sF15) )
    | ~ spl16_3
    | spl16_5 ),
    inference(subsumption_resolution,[],[f1329,f1145]) ).

fof(f1145,plain,
    ! [X0] : c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,sF15),
    inference(resolution,[],[f1141,f786]) ).

fof(f786,plain,
    c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),sF15),
    inference(superposition,[],[f673,f767]) ).

fof(f673,plain,
    ! [X0] : c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0)),
    inference(cnf_transformation,[],[f531]) ).

fof(f531,plain,
    ! [X0] :
      ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X0))
      & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0))
      & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)) ),
    inference(rectify,[],[f525]) ).

fof(f525,axiom,
    ! [X2] :
      ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(v_P,X2))
      & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2))
      & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

fof(f1141,plain,
    ! [X2,X0,X1] :
      ( ~ c_Relation_Ototal__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)
      | c_Relation_Ototal__on(X0,X2,X1) ),
    inference(subsumption_resolution,[],[f1132,f699]) ).

fof(f1132,plain,
    ! [X2,X0,X1] :
      ( ~ c_member(X0,sK4(X1,X2,X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))
      | ~ c_Relation_Ototal__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)
      | c_Relation_Ototal__on(X0,X2,X1) ),
    inference(resolution,[],[f1022,f699]) ).

fof(f1022,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_member(X0,sK5(X1,X2,X0),X3)
      | ~ c_member(X0,sK4(X1,X2,X0),X3)
      | ~ c_Relation_Ototal__on(X0,X3,X1)
      | c_Relation_Ototal__on(X0,X2,X1) ),
    inference(subsumption_resolution,[],[f1021,f686]) ).

fof(f686,plain,
    ! [X2,X0,X1] :
      ( sK4(X0,X1,X2) != sK5(X0,X1,X2)
      | c_Relation_Ototal__on(X2,X1,X0) ),
    inference(cnf_transformation,[],[f647]) ).

fof(f647,plain,
    ! [X0,X1,X2] :
      ( ( c_Relation_Ototal__on(X2,X1,X0)
        | ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
          & ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
          & sK4(X0,X1,X2) != sK5(X0,X1,X2)
          & c_member(X2,sK5(X0,X1,X2),X1)
          & c_member(X2,sK4(X0,X1,X2),X1) ) )
      & ( ! [X5] :
            ( ! [X6] :
                ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
                | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
                | X5 = X6
                | ~ c_member(X2,X6,X1) )
            | ~ c_member(X2,X5,X1) )
        | ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f644,f646,f645]) ).

fof(f645,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
              & ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
              & X3 != X4
              & c_member(X2,X4,X1) )
          & c_member(X2,X3,X1) )
     => ( ? [X4] :
            ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,sK4(X0,X1,X2)),X0)
            & ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),X4),X0)
            & sK4(X0,X1,X2) != X4
            & c_member(X2,X4,X1) )
        & c_member(X2,sK4(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f646,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,sK4(X0,X1,X2)),X0)
          & ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),X4),X0)
          & sK4(X0,X1,X2) != X4
          & c_member(X2,X4,X1) )
     => ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
        & ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
        & sK4(X0,X1,X2) != sK5(X0,X1,X2)
        & c_member(X2,sK5(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f644,plain,
    ! [X0,X1,X2] :
      ( ( c_Relation_Ototal__on(X2,X1,X0)
        | ? [X3] :
            ( ? [X4] :
                ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
                & ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
                & X3 != X4
                & c_member(X2,X4,X1) )
            & c_member(X2,X3,X1) ) )
      & ( ! [X5] :
            ( ! [X6] :
                ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
                | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
                | X5 = X6
                | ~ c_member(X2,X6,X1) )
            | ~ c_member(X2,X5,X1) )
        | ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
    inference(rectify,[],[f643]) ).

fof(f643,plain,
    ! [X0,X1,X2] :
      ( ( c_Relation_Ototal__on(X2,X1,X0)
        | ? [X3] :
            ( ? [X4] :
                ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
                & ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
                & X3 != X4
                & c_member(X2,X4,X1) )
            & c_member(X2,X3,X1) ) )
      & ( ! [X3] :
            ( ! [X4] :
                ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
                | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
                | X3 = X4
                | ~ c_member(X2,X4,X1) )
            | ~ c_member(X2,X3,X1) )
        | ~ c_Relation_Ototal__on(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f593]) ).

fof(f593,plain,
    ! [X0,X1,X2] :
      ( c_Relation_Ototal__on(X2,X1,X0)
    <=> ! [X3] :
          ( ! [X4] :
              ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
              | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
              | X3 = X4
              | ~ c_member(X2,X4,X1) )
          | ~ c_member(X2,X3,X1) ) ),
    inference(flattening,[],[f592]) ).

fof(f592,plain,
    ! [X0,X1,X2] :
      ( c_Relation_Ototal__on(X2,X1,X0)
    <=> ! [X3] :
          ( ! [X4] :
              ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
              | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0)
              | X3 = X4
              | ~ c_member(X2,X4,X1) )
          | ~ c_member(X2,X3,X1) ) ),
    inference(ennf_transformation,[],[f538]) ).

fof(f538,plain,
    ! [X0,X1,X2] :
      ( c_Relation_Ototal__on(X2,X1,X0)
    <=> ! [X3] :
          ( c_member(X2,X3,X1)
         => ! [X4] :
              ( c_member(X2,X4,X1)
             => ( X3 != X4
               => ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X4,X3),X0)
                  | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X3,X4),X0) ) ) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X5,X6,X4] :
      ( c_Relation_Ototal__on(X4,X6,X5)
    <=> ! [X2] :
          ( c_member(X4,X2,X6)
         => ! [X7] :
              ( c_member(X4,X7,X6)
             => ( X2 != X7
               => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X7,X2),X5)
                  | c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X7),X5) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_total__on__def) ).

fof(f1021,plain,
    ! [X2,X3,X0,X1] :
      ( sK5(X1,X2,X0) = sK4(X1,X2,X0)
      | ~ c_member(X0,sK4(X1,X2,X0),X3)
      | ~ c_member(X0,sK5(X1,X2,X0),X3)
      | ~ c_Relation_Ototal__on(X0,X3,X1)
      | c_Relation_Ototal__on(X0,X2,X1) ),
    inference(subsumption_resolution,[],[f1008,f688]) ).

fof(f688,plain,
    ! [X2,X0,X1] :
      ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
      | c_Relation_Ototal__on(X2,X1,X0) ),
    inference(cnf_transformation,[],[f647]) ).

fof(f1008,plain,
    ! [X2,X3,X0,X1] :
      ( c_member(tc_prod(X0,X0),c_Product__Type_OPair(X0,X0,sK5(X1,X2,X0),sK4(X1,X2,X0)),X1)
      | sK5(X1,X2,X0) = sK4(X1,X2,X0)
      | ~ c_member(X0,sK4(X1,X2,X0),X3)
      | ~ c_member(X0,sK5(X1,X2,X0),X3)
      | ~ c_Relation_Ototal__on(X0,X3,X1)
      | c_Relation_Ototal__on(X0,X2,X1) ),
    inference(resolution,[],[f683,f687]) ).

fof(f687,plain,
    ! [X2,X0,X1] :
      ( ~ c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
      | c_Relation_Ototal__on(X2,X1,X0) ),
    inference(cnf_transformation,[],[f647]) ).

fof(f683,plain,
    ! [X2,X0,X1,X6,X5] :
      ( c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X6,X5),X0)
      | c_member(tc_prod(X2,X2),c_Product__Type_OPair(X2,X2,X5,X6),X0)
      | X5 = X6
      | ~ c_member(X2,X6,X1)
      | ~ c_member(X2,X5,X1)
      | ~ c_Relation_Ototal__on(X2,X1,X0) ),
    inference(cnf_transformation,[],[f647]) ).

fof(f1329,plain,
    ( ! [X0] :
        ( ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X0)
        | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X0,sF15)
        | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X0)
        | c_member(sF13,sF14,sF15) )
    | ~ spl16_3
    | spl16_5 ),
    inference(resolution,[],[f1090,f1027]) ).

fof(f1027,plain,
    ( ! [X0,X1] :
        ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
        | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
        | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0)
        | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
        | c_member(sF13,sF14,X0) )
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f1026]) ).

fof(f1026,plain,
    ( spl16_3
  <=> ! [X0,X1] :
        ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
        | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
        | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0)
        | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
        | c_member(sF13,sF14,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).

fof(f1090,plain,
    ( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15)
    | spl16_5 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1088,plain,
    ( spl16_5
  <=> c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).

fof(f1327,plain,
    ( ~ spl16_5
    | spl16_1 ),
    inference(avatar_split_clause,[],[f1326,f974,f1088]) ).

fof(f974,plain,
    ( spl16_1
  <=> v_a = v_b ),
    introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).

fof(f1326,plain,
    ( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15)
    | spl16_1 ),
    inference(subsumption_resolution,[],[f1325,f989]) ).

fof(f989,plain,
    c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(subsumption_resolution,[],[f988,f671]) ).

fof(f671,plain,
    ! [X0] : c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
    inference(cnf_transformation,[],[f531]) ).

fof(f988,plain,
    ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P))) ),
    inference(subsumption_resolution,[],[f987,f672]) ).

fof(f672,plain,
    ! [X0] : c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,X0)),
    inference(cnf_transformation,[],[f531]) ).

fof(f987,plain,
    ( c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P))) ),
    inference(resolution,[],[f668,f673]) ).

fof(f668,plain,
    ! [X0] :
      ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
      | c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ),
    inference(cnf_transformation,[],[f632]) ).

fof(f632,plain,
    ! [X0] :
      ( ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X0))
        & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)) )
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f588,f631]) ).

fof(f631,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
     => ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
        | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f588,plain,
    ! [X0] :
      ( ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X0))
        & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)) )
      | ? [X1] :
          ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) ) ),
    inference(ennf_transformation,[],[f529]) ).

fof(f529,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
     => ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X0))
        & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
        & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0)) ) ),
    inference(rectify,[],[f523]) ).

fof(f523,axiom,
    ! [X2] :
      ( ! [X7] :
          ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X2,X7))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2,X7))
          & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X2,X7)) )
     => ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),v_F(X2))
        & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(X2))
        & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f1325,plain,
    ( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15)
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | spl16_1 ),
    inference(subsumption_resolution,[],[f1320,f975]) ).

fof(f975,plain,
    ( v_a != v_b
    | spl16_1 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f1320,plain,
    ( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),sF15)
    | v_a = v_b
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)) ),
    inference(resolution,[],[f1161,f789]) ).

fof(f789,plain,
    ! [X0,X1] :
      ( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X0),X1)
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,X1) ),
    inference(superposition,[],[f678,f765]) ).

fof(f678,plain,
    ! [X3,X0,X1] :
      ( ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
      | ~ c_Relation_Oirrefl(X1,X0) ),
    inference(cnf_transformation,[],[f641]) ).

fof(f641,plain,
    ! [X0,X1] :
      ( ( c_Relation_Oirrefl(X1,X0)
        | c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK3(X0,X1),sK3(X0,X1)),X0) )
      & ( ! [X3] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
        | ~ c_Relation_Oirrefl(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f639,f640]) ).

fof(f640,plain,
    ! [X0,X1] :
      ( ? [X2] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
     => c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,sK3(X0,X1),sK3(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f639,plain,
    ! [X0,X1] :
      ( ( c_Relation_Oirrefl(X1,X0)
        | ? [X2] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0) )
      & ( ! [X3] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X0)
        | ~ c_Relation_Oirrefl(X1,X0) ) ),
    inference(rectify,[],[f638]) ).

fof(f638,plain,
    ! [X0,X1] :
      ( ( c_Relation_Oirrefl(X1,X0)
        | ? [X2] : c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0) )
      & ( ! [X2] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0)
        | ~ c_Relation_Oirrefl(X1,X0) ) ),
    inference(nnf_transformation,[],[f534]) ).

fof(f534,plain,
    ! [X0,X1] :
      ( c_Relation_Oirrefl(X1,X0)
    <=> ! [X2] : ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X2,X2),X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X4] :
      ( c_Relation_Oirrefl(X4,X5)
    <=> ! [X2] : ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X2),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_irrefl__def) ).

fof(f1161,plain,
    ! [X0] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X0),v_F(v_P))
      | ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X0),sF15)
      | v_b = X0 ),
    inference(subsumption_resolution,[],[f1160,f986]) ).

fof(f986,plain,
    c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P)),
    inference(subsumption_resolution,[],[f985,f671]) ).

fof(f985,plain,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P))) ),
    inference(subsumption_resolution,[],[f984,f672]) ).

fof(f984,plain,
    ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P)))
    | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK0(v_P))) ),
    inference(resolution,[],[f667,f673]) ).

fof(f667,plain,
    ! [X0] :
      ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK0(X0)))
      | c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(X0))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0)))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK0(X0))) ),
    inference(cnf_transformation,[],[f632]) ).

fof(f1160,plain,
    ! [X0] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X0),v_F(v_P))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
      | ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X0),sF15)
      | v_b = X0 ),
    inference(subsumption_resolution,[],[f1155,f772]) ).

fof(f772,plain,
    c_member(sF13,sF14,v_F(v_P)),
    inference(forward_demodulation,[],[f771,f765]) ).

fof(f771,plain,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sF14,v_F(v_P)),
    inference(forward_demodulation,[],[f674,f766]) ).

fof(f674,plain,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
    inference(cnf_transformation,[],[f526]) ).

fof(f526,axiom,
    c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_b),v_F(v_P)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).

fof(f1155,plain,
    ! [X0] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X0),v_F(v_P))
      | ~ c_member(sF13,sF14,v_F(v_P))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
      | ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X0),sF15)
      | v_b = X0 ),
    inference(resolution,[],[f1006,f1050]) ).

fof(f1050,plain,
    ! [X0,X1] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
      | ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),sF15)
      | X0 = X1 ),
    inference(forward_demodulation,[],[f1049,f767]) ).

fof(f1049,plain,
    ! [X0,X1] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
      | X0 = X1
      | ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i)) ),
    inference(subsumption_resolution,[],[f1048,f671]) ).

fof(f1048,plain,
    ! [X0,X1] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
      | X0 = X1
      | ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1(v_P))) ),
    inference(subsumption_resolution,[],[f1047,f672]) ).

fof(f1047,plain,
    ! [X0,X1] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_F(v_P))
      | X0 = X1
      | ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),hAPP(v_P,v_i))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1(v_P)))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(v_P,sK1(v_P))) ),
    inference(resolution,[],[f770,f673]) ).

fof(f770,plain,
    ! [X2,X0,X1] :
      ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK1(X0)))
      | c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
      | X1 = X2
      | ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0)))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0))) ),
    inference(forward_demodulation,[],[f769,f765]) ).

fof(f769,plain,
    ! [X2,X0,X1] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
      | X1 = X2
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK1(X0)))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0)))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0))) ),
    inference(forward_demodulation,[],[f670,f765]) ).

fof(f670,plain,
    ! [X2,X0,X1] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
      | X1 = X2
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK1(X0)))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0)))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0))) ),
    inference(cnf_transformation,[],[f635]) ).

fof(f635,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
          | X1 = X2 )
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK1(X0)))
      | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0)))
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f633,f634]) ).

fof(f634,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X3))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3))
          | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3)) )
     => ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,sK1(X0)))
        | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0)))
        | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,sK1(X0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f633,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_F(X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),hAPP(X0,v_i))
          | X1 = X2 )
      | ? [X3] :
          ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X3))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3))
          | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X3)) ) ),
    inference(rectify,[],[f590]) ).

fof(f590,plain,
    ! [X0] :
      ( ! [X2,X3] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
          | X2 = X3 )
      | ? [X1] :
          ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) ) ),
    inference(flattening,[],[f589]) ).

fof(f589,plain,
    ! [X0] :
      ( ! [X2,X3] :
          ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0))
          | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
          | X2 = X3 )
      | ? [X1] :
          ( ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) ) ),
    inference(ennf_transformation,[],[f530]) ).

fof(f530,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X0,X1))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1))
          & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X0,X1)) )
     => ! [X2,X3] :
          ( X2 != X3
         => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),hAPP(X0,v_i))
           => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_F(X0)) ) ) ),
    inference(rectify,[],[f524]) ).

fof(f524,axiom,
    ! [X77] :
      ( ! [X2] :
          ( c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_HOL_Obool)),hAPP(X77,X2))
          & c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X77,X2))
          & c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,hAPP(X77,X2)) )
     => ! [X37,X38] :
          ( X37 != X38
         => ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X37,X38),hAPP(X77,v_i))
           => c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X37,X38),v_F(X77)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f1006,plain,
    ! [X0,X1] :
      ( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X1),X0)
      | c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X1),X0)
      | ~ c_member(sF13,sF14,X0)
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,X0) ),
    inference(forward_demodulation,[],[f1005,f765]) ).

fof(f1005,plain,
    ! [X0,X1] :
      ( ~ c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X1),X0)
      | ~ c_member(sF13,sF14,X0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X1),X0)
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,X0) ),
    inference(forward_demodulation,[],[f1004,f765]) ).

fof(f1004,plain,
    ! [X0,X1] :
      ( ~ c_member(sF13,sF14,X0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X1),X0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X1),X0)
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,X0) ),
    inference(forward_demodulation,[],[f1003,f765]) ).

fof(f1003,plain,
    ! [X0,X1] :
      ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sF14,X0)
      | ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,X1),X0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,X1),X0)
      | ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,X0) ),
    inference(superposition,[],[f711,f766]) ).

fof(f711,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
      | c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
      | ~ c_Relation_Otrans(X4,X3) ),
    inference(cnf_transformation,[],[f600]) ).

fof(f600,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
      | ~ c_Relation_Otrans(X4,X3) ),
    inference(flattening,[],[f599]) ).

fof(f599,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
      | ~ c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
      | ~ c_Relation_Otrans(X4,X3) ),
    inference(ennf_transformation,[],[f561]) ).

fof(f561,plain,
    ! [X0,X1,X2,X3,X4] :
      ( c_Relation_Otrans(X4,X3)
     => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X1),X3)
       => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X1,X0),X3)
         => c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X2,X0),X3) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X10,X11,X12,X5,X4] :
      ( c_Relation_Otrans(X4,X5)
     => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X12,X11),X5)
       => ( c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X11,X10),X5)
         => c_member(tc_prod(X4,X4),c_Product__Type_OPair(X4,X4,X12,X10),X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_transD) ).

fof(f1057,plain,
    ~ spl16_1,
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | ~ spl16_1 ),
    inference(subsumption_resolution,[],[f1051,f989]) ).

fof(f1051,plain,
    ( ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,v_F(v_P))
    | ~ spl16_1 ),
    inference(resolution,[],[f1031,f772]) ).

fof(f1031,plain,
    ( ! [X0] :
        ( ~ c_member(sF13,sF14,X0)
        | ~ c_Relation_Oirrefl(tc_Arrow__Order__Mirabelle_Oalt,X0) )
    | ~ spl16_1 ),
    inference(superposition,[],[f789,f1030]) ).

fof(f1030,plain,
    ( sF14 = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a,v_a)
    | ~ spl16_1 ),
    inference(superposition,[],[f766,f976]) ).

fof(f976,plain,
    ( v_a = v_b
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f974]) ).

fof(f1028,plain,
    ( spl16_1
    | spl16_3 ),
    inference(avatar_split_clause,[],[f1024,f1026,f974]) ).

fof(f1024,plain,
    ! [X0,X1] :
      ( c_member(sF13,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
      | c_member(sF13,sF14,X0)
      | v_a = v_b
      | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
      | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0) ),
    inference(forward_demodulation,[],[f1023,f765]) ).

fof(f1023,plain,
    ! [X0,X1] :
      ( c_member(sF13,sF14,X0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
      | v_a = v_b
      | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
      | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0) ),
    inference(forward_demodulation,[],[f1018,f765]) ).

fof(f1018,plain,
    ! [X0,X1] :
      ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sF14,X0)
      | c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b,v_a),X0)
      | v_a = v_b
      | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_a,X1)
      | ~ c_member(tc_Arrow__Order__Mirabelle_Oalt,v_b,X1)
      | ~ c_Relation_Ototal__on(tc_Arrow__Order__Mirabelle_Oalt,X1,X0) ),
    inference(superposition,[],[f683,f766]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SCT120+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.14  % 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
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 23:53:52 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  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
% 0.58/0.74  % (22885)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 (2996ds/56Mi)
% 0.58/0.75  % (22878)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 (2996ds/34Mi)
% 0.58/0.75  % (22880)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.75  % (22881)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.75  % (22879)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 (2996ds/51Mi)
% 0.58/0.75  % (22882)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 (2996ds/34Mi)
% 0.58/0.76  % (22883)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.76  % (22884)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 (2996ds/83Mi)
% 0.58/0.76  % (22885)Instruction limit reached!
% 0.58/0.76  % (22885)------------------------------
% 0.58/0.76  % (22885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (22885)Termination reason: Unknown
% 0.58/0.76  % (22885)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (22885)Memory used [KB]: 1989
% 0.58/0.76  % (22885)Time elapsed: 0.018 s
% 0.58/0.76  % (22885)Instructions burned: 57 (million)
% 0.58/0.76  % (22885)------------------------------
% 0.58/0.76  % (22885)------------------------------
% 0.58/0.76  % (22878)Instruction limit reached!
% 0.58/0.76  % (22878)------------------------------
% 0.58/0.76  % (22878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (22878)Termination reason: Unknown
% 0.58/0.76  % (22878)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (22878)Memory used [KB]: 1830
% 0.58/0.76  % (22878)Time elapsed: 0.019 s
% 0.58/0.76  % (22878)Instructions burned: 34 (million)
% 0.58/0.76  % (22878)------------------------------
% 0.58/0.76  % (22878)------------------------------
% 0.61/0.77  % (22886)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 theBenchmark for (2995ds/55Mi)
% 0.61/0.77  % (22879)Instruction limit reached!
% 0.61/0.77  % (22879)------------------------------
% 0.61/0.77  % (22879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (22879)Termination reason: Unknown
% 0.61/0.77  % (22879)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (22879)Memory used [KB]: 2295
% 0.61/0.77  % (22879)Time elapsed: 0.024 s
% 0.61/0.77  % (22879)Instructions burned: 51 (million)
% 0.61/0.77  % (22879)------------------------------
% 0.61/0.77  % (22879)------------------------------
% 0.61/0.77  % (22881)Instruction limit reached!
% 0.61/0.77  % (22881)------------------------------
% 0.61/0.77  % (22881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (22881)Termination reason: Unknown
% 0.61/0.77  % (22881)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (22881)Memory used [KB]: 1958
% 0.61/0.77  % (22881)Time elapsed: 0.018 s
% 0.61/0.77  % (22881)Instructions burned: 34 (million)
% 0.61/0.77  % (22881)------------------------------
% 0.61/0.77  % (22881)------------------------------
% 0.61/0.77  % (22889)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.61/0.77  % (22887)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)
% 0.61/0.77  % (22888)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)
% 0.61/0.77  % (22882)Instruction limit reached!
% 0.61/0.77  % (22882)------------------------------
% 0.61/0.77  % (22882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (22882)Termination reason: Unknown
% 0.61/0.78  % (22882)Termination phase: Property scanning
% 0.61/0.78  
% 0.61/0.78  % (22882)Memory used [KB]: 2168
% 0.61/0.78  % (22882)Time elapsed: 0.019 s
% 0.61/0.78  % (22882)Instructions burned: 36 (million)
% 0.61/0.78  % (22882)------------------------------
% 0.61/0.78  % (22882)------------------------------
% 0.61/0.78  % (22890)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.61/0.78  % (22883)Instruction limit reached!
% 0.61/0.78  % (22883)------------------------------
% 0.61/0.78  % (22883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (22883)Termination reason: Unknown
% 0.61/0.78  % (22883)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (22883)Memory used [KB]: 2091
% 0.61/0.78  % (22883)Time elapsed: 0.025 s
% 0.61/0.78  % (22883)Instructions burned: 45 (million)
% 0.61/0.78  % (22883)------------------------------
% 0.61/0.78  % (22883)------------------------------
% 0.61/0.79  % (22889)Instruction limit reached!
% 0.61/0.79  % (22889)------------------------------
% 0.61/0.79  % (22889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (22889)Termination reason: Unknown
% 0.61/0.79  % (22889)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (22889)Memory used [KB]: 2249
% 0.61/0.79  % (22889)Time elapsed: 0.016 s
% 0.61/0.79  % (22889)Instructions burned: 53 (million)
% 0.61/0.79  % (22889)------------------------------
% 0.61/0.79  % (22889)------------------------------
% 0.61/0.79  % (22880)Instruction limit reached!
% 0.61/0.79  % (22880)------------------------------
% 0.61/0.79  % (22880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (22880)Termination reason: Unknown
% 0.61/0.79  % (22880)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (22880)Memory used [KB]: 2312
% 0.61/0.79  % (22880)Time elapsed: 0.042 s
% 0.61/0.79  % (22880)Instructions burned: 78 (million)
% 0.61/0.79  % (22880)------------------------------
% 0.61/0.79  % (22880)------------------------------
% 0.61/0.79  % (22892)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.61/0.79  % (22891)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.61/0.79  % (22893)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.61/0.79  % (22886)Instruction limit reached!
% 0.61/0.79  % (22886)------------------------------
% 0.61/0.79  % (22886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (22886)Termination reason: Unknown
% 0.61/0.79  % (22886)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (22886)Memory used [KB]: 2446
% 0.61/0.79  % (22886)Time elapsed: 0.028 s
% 0.61/0.79  % (22886)Instructions burned: 57 (million)
% 0.61/0.79  % (22886)------------------------------
% 0.61/0.79  % (22886)------------------------------
% 0.61/0.79  % (22887)Instruction limit reached!
% 0.61/0.79  % (22887)------------------------------
% 0.61/0.79  % (22887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (22887)Termination reason: Unknown
% 0.61/0.79  % (22887)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (22887)Memory used [KB]: 2390
% 0.61/0.79  % (22887)Time elapsed: 0.024 s
% 0.61/0.79  % (22887)Instructions burned: 52 (million)
% 0.61/0.79  % (22887)------------------------------
% 0.61/0.79  % (22887)------------------------------
% 0.61/0.80  % (22894)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.61/0.80  % (22888)First to succeed.
% 0.61/0.80  % (22895)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.61/0.80  % (22884)Instruction limit reached!
% 0.61/0.80  % (22884)------------------------------
% 0.61/0.80  % (22884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (22884)Termination reason: Unknown
% 0.61/0.80  % (22884)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (22884)Memory used [KB]: 2697
% 0.61/0.80  % (22884)Time elapsed: 0.043 s
% 0.61/0.80  % (22884)Instructions burned: 84 (million)
% 0.61/0.80  % (22884)------------------------------
% 0.61/0.80  % (22884)------------------------------
% 0.61/0.80  % (22888)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22877"
% 0.61/0.80  % (22888)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for theBenchmark
% 0.61/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.80  % (22888)------------------------------
% 0.61/0.80  % (22888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (22888)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (22888)Memory used [KB]: 1784
% 0.61/0.80  % (22888)Time elapsed: 0.028 s
% 0.61/0.80  % (22888)Instructions burned: 54 (million)
% 0.61/0.80  % (22877)Success in time 0.439 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------