TSTP Solution File: LCL812_5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL812_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 07:53:37 EDT 2024

% Result   : Theorem 0.17s 0.39s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   94
% Syntax   : Number of formulae    :  114 (  13 unt;  86 typ;   0 def)
%            Number of atoms       :  108 (  32 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  116 (  36   ~;  36   |;  37   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :  131 (  61   >;  70   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-6 aty)
%            Number of functors    :   72 (  72 usr;  16 con; 0-6 aty)
%            Number of variables   :  117 (  30   !;  30   ?; 117   :)
%                                         (  57  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    list: $tType > $tType ).

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

tff(type_def_9,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun(fun(X0,X1),fun(fun(X2,X0),fun(X2,X1))) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).

tff(func_def_2,type,
    combi: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_3,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).

tff(func_def_4,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_5,type,
    it: fun(dB,bool) ).

tff(func_def_6,type,
    beta: fun(dB,fun(dB,bool)) ).

tff(func_def_7,type,
    abs: dB > dB ).

tff(func_def_8,type,
    app: fun(dB,fun(dB,dB)) ).

tff(func_def_9,type,
    var: nat > dB ).

tff(func_def_10,type,
    dB_size: dB > nat ).

tff(func_def_11,type,
    lift: fun(dB,fun(nat,dB)) ).

tff(func_def_12,type,
    liftn: ( nat * dB * nat ) > dB ).

tff(func_def_13,type,
    subst: fun(dB,fun(dB,fun(nat,dB))) ).

tff(func_def_14,type,
    substn: ( dB * dB * nat ) > dB ).

tff(func_def_15,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_16,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

tff(func_def_17,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_18,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_19,type,
    cons: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_20,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_21,type,
    list_case: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).

tff(func_def_22,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).

tff(func_def_23,type,
    splice: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_24,type,
    sublist: 
      !>[X0: $tType] : ( ( list(X0) * fun(nat,bool) ) > list(X0) ) ).

tff(func_def_25,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_26,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_27,type,
    fFalse: bool ).

tff(func_def_28,type,
    fTrue: bool ).

tff(func_def_29,type,
    fconj: fun(bool,fun(bool,bool)) ).

tff(func_def_30,type,
    a: dB ).

tff(func_def_31,type,
    as: list(dB) ).

tff(func_def_32,type,
    i: nat ).

tff(func_def_33,type,
    n: nat ).

tff(func_def_34,type,
    rs: list(dB) ).

tff(func_def_35,type,
    t: dB ).

tff(func_def_36,type,
    u: dB ).

tff(func_def_37,type,
    ua: dB ).

tff(func_def_38,type,
    sK6: dB > dB ).

tff(func_def_39,type,
    sK7: dB > list(dB) ).

tff(func_def_40,type,
    sK8: dB > nat ).

tff(func_def_41,type,
    sK9: dB > dB ).

tff(func_def_42,type,
    sK10: dB > dB ).

tff(func_def_43,type,
    sK11: dB > list(dB) ).

tff(func_def_44,type,
    sK12: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_45,type,
    sK13: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_46,type,
    sK14: ( dB * dB ) > dB ).

tff(func_def_47,type,
    sK15: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

tff(func_def_48,type,
    sK16: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_49,type,
    sK17: ( dB * list(dB) * dB ) > dB ).

tff(func_def_50,type,
    sK18: ( dB * list(dB) * dB ) > dB ).

tff(func_def_51,type,
    sK19: ( dB * list(dB) * dB ) > list(dB) ).

tff(func_def_52,type,
    sK20: ( dB * list(dB) * dB ) > list(dB) ).

tff(func_def_53,type,
    sK21: ( dB * list(dB) * dB ) > dB ).

tff(func_def_54,type,
    sK22: ( dB * list(dB) * nat ) > list(dB) ).

tff(func_def_55,type,
    sK23: ( dB * dB * dB ) > dB ).

tff(func_def_56,type,
    sK24: ( dB * dB * dB ) > dB ).

tff(func_def_57,type,
    sK25: ( dB * dB * dB ) > dB ).

tff(func_def_58,type,
    sK26: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > X0 ) ).

tff(func_def_59,type,
    sK27: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).

tff(func_def_60,type,
    sK28: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_61,type,
    sK29: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * fun(X0,fun(X0,bool)) ) > list(X0) ) ).

tff(func_def_62,type,
    sK30: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * fun(X0,fun(X0,bool)) ) > X0 ) ).

tff(func_def_63,type,
    sK31: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).

tff(func_def_64,type,
    sK32: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X1 ) ).

tff(func_def_65,type,
    sK33: 
      !>[X0: $tType,X1: $tType] : ( fun(X0,fun(X1,X0)) > X0 ) ).

tff(func_def_66,type,
    sK34: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_67,type,
    sK35: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > list(X0) ) ).

tff(func_def_68,type,
    sK36: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > X1 ) ).

tff(func_def_69,type,
    sK37: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > list(X1) ) ).

tff(pred_def_1,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    step1: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_3,type,
    listsp: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_4,type,
    member: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).

tff(pred_def_5,type,
    pp: bool > $o ).

tff(pred_def_6,type,
    sP0: dB > $o ).

tff(pred_def_7,type,
    sP1: dB > $o ).

tff(pred_def_8,type,
    sP2: ( dB * list(dB) * dB ) > $o ).

tff(pred_def_9,type,
    sP3: ( dB * dB * dB ) > $o ).

tff(pred_def_10,type,
    sP4: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_11,type,
    sP5: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) * fun(X0,fun(X0,bool)) * X0 * X0 ) > $o ) ).

tff(f693,plain,
    $false,
    inference(subsumption_resolution,[],[f690,f555]) ).

tff(f555,plain,
    listsp(dB,it,map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),n),as))),
    inference(forward_demodulation,[],[f346,f341]) ).

tff(f341,plain,
    n = i,
    inference(cnf_transformation,[],[f4]) ).

tff(f4,axiom,
    n = i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_True) ).

tff(f346,plain,
    listsp(dB,it,map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),as))),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    listsp(dB,it,map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),as))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__096listsp_AIT_A_Imap_A_I_Ft_O_Alift_At_A0_J_A_Imap_A_I_Ft_O_At_091u_Pi_093_J_Aas_J_J_096) ).

tff(f690,plain,
    ~ listsp(dB,it,map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),n),as))),
    inference(resolution,[],[f522,f680]) ).

tff(f680,plain,
    ~ sP1(foldl(dB,dB,app,var(zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),n),as)))),
    inference(resolution,[],[f368,f554]) ).

tff(f554,plain,
    ~ pp(aa(dB,bool,it,foldl(dB,dB,app,var(zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),n),as))))),
    inference(backward_demodulation,[],[f337,f341]) ).

tff(f337,plain,
    ~ pp(aa(dB,bool,it,foldl(dB,dB,app,var(zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),as))))),
    inference(cnf_transformation,[],[f112]) ).

tff(f112,plain,
    ~ pp(aa(dB,bool,it,foldl(dB,dB,app,var(zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),as))))),
    inference(flattening,[],[f111]) ).

tff(f111,negated_conjecture,
    ~ pp(aa(dB,bool,it,foldl(dB,dB,app,var(zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),as))))),
    inference(negated_conjecture,[],[f110]) ).

tff(f110,conjecture,
    pp(aa(dB,bool,it,foldl(dB,dB,app,var(zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),as))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f368,plain,
    ! [X0: dB] :
      ( pp(aa(dB,bool,it,X0))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f261]) ).

tff(f261,plain,
    ! [X0: dB] :
      ( ( pp(aa(dB,bool,it,X0))
        | ~ sP1(X0) )
      & ( sP1(X0)
        | ~ pp(aa(dB,bool,it,X0)) ) ),
    inference(nnf_transformation,[],[f241]) ).

tff(f241,plain,
    ! [X0: dB] :
      ( pp(aa(dB,bool,it,X0))
    <=> sP1(X0) ),
    inference(definition_folding,[],[f119,f240,f239]) ).

tff(f239,plain,
    ! [X0: dB] :
      ( sP0(X0)
    <=> ? [X1: dB,X2: dB,X3: list(dB)] :
          ( pp(aa(dB,bool,it,X2))
          & pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,X1),X2),zero_zero(nat)),X3)))
          & ( foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X1)),X2),X3) = X0 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

tff(f240,plain,
    ! [X0: dB] :
      ( sP1(X0)
    <=> ( sP0(X0)
        | ? [X4: dB] :
            ( pp(aa(dB,bool,it,X4))
            & ( abs(X4) = X0 ) )
        | ? [X5: list(dB),X6: nat] :
            ( listsp(dB,it,X5)
            & ( foldl(dB,dB,app,var(X6),X5) = X0 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

tff(f119,plain,
    ! [X0: dB] :
      ( pp(aa(dB,bool,it,X0))
    <=> ( ? [X1: dB,X2: dB,X3: list(dB)] :
            ( pp(aa(dB,bool,it,X2))
            & pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,X1),X2),zero_zero(nat)),X3)))
            & ( foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X1)),X2),X3) = X0 ) )
        | ? [X4: dB] :
            ( pp(aa(dB,bool,it,X4))
            & ( abs(X4) = X0 ) )
        | ? [X5: list(dB),X6: nat] :
            ( listsp(dB,it,X5)
            & ( foldl(dB,dB,app,var(X6),X5) = X0 ) ) ) ),
    inference(rectify,[],[f51]) ).

tff(f51,axiom,
    ! [X36: dB] :
      ( pp(aa(dB,bool,it,X36))
    <=> ( ? [X54: dB,X55: dB,X56: list(dB)] :
            ( pp(aa(dB,bool,it,X55))
            & pp(aa(dB,bool,it,foldl(dB,dB,app,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,X54),X55),zero_zero(nat)),X56)))
            & ( foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(X54)),X55),X56) = X36 ) )
        | ? [X54: dB] :
            ( pp(aa(dB,bool,it,X54))
            & ( abs(X54) = X36 ) )
        | ? [X52: list(dB),X53: nat] :
            ( listsp(dB,it,X52)
            & ( foldl(dB,dB,app,var(X53),X52) = X36 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_IT_Osimps) ).

tff(f522,plain,
    ! [X2: list(dB),X3: nat] :
      ( sP1(foldl(dB,dB,app,var(X3),X2))
      | ~ listsp(dB,it,X2) ),
    inference(equality_resolution,[],[f360]) ).

tff(f360,plain,
    ! [X2: list(dB),X3: nat,X0: dB] :
      ( sP1(X0)
      | ~ listsp(dB,it,X2)
      | ( foldl(dB,dB,app,var(X3),X2) != X0 ) ),
    inference(cnf_transformation,[],[f256]) ).

tff(f256,plain,
    ! [X0: dB] :
      ( ( sP1(X0)
        | ( ~ sP0(X0)
          & ! [X1: dB] :
              ( ~ pp(aa(dB,bool,it,X1))
              | ( abs(X1) != X0 ) )
          & ! [X2: list(dB),X3: nat] :
              ( ~ listsp(dB,it,X2)
              | ( foldl(dB,dB,app,var(X3),X2) != X0 ) ) ) )
      & ( sP0(X0)
        | ( pp(aa(dB,bool,it,sK6(X0)))
          & ( abs(sK6(X0)) = X0 ) )
        | ( listsp(dB,it,sK7(X0))
          & ( foldl(dB,dB,app,var(sK8(X0)),sK7(X0)) = X0 ) )
        | ~ sP1(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f253,f255,f254]) ).

tff(f254,plain,
    ! [X0: dB] :
      ( ? [X4: dB] :
          ( pp(aa(dB,bool,it,X4))
          & ( abs(X4) = X0 ) )
     => ( pp(aa(dB,bool,it,sK6(X0)))
        & ( abs(sK6(X0)) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f255,plain,
    ! [X0: dB] :
      ( ? [X5: list(dB),X6: nat] :
          ( listsp(dB,it,X5)
          & ( foldl(dB,dB,app,var(X6),X5) = X0 ) )
     => ( listsp(dB,it,sK7(X0))
        & ( foldl(dB,dB,app,var(sK8(X0)),sK7(X0)) = X0 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f253,plain,
    ! [X0: dB] :
      ( ( sP1(X0)
        | ( ~ sP0(X0)
          & ! [X1: dB] :
              ( ~ pp(aa(dB,bool,it,X1))
              | ( abs(X1) != X0 ) )
          & ! [X2: list(dB),X3: nat] :
              ( ~ listsp(dB,it,X2)
              | ( foldl(dB,dB,app,var(X3),X2) != X0 ) ) ) )
      & ( sP0(X0)
        | ? [X4: dB] :
            ( pp(aa(dB,bool,it,X4))
            & ( abs(X4) = X0 ) )
        | ? [X5: list(dB),X6: nat] :
            ( listsp(dB,it,X5)
            & ( foldl(dB,dB,app,var(X6),X5) = X0 ) )
        | ~ sP1(X0) ) ),
    inference(rectify,[],[f252]) ).

tff(f252,plain,
    ! [X0: dB] :
      ( ( sP1(X0)
        | ( ~ sP0(X0)
          & ! [X4: dB] :
              ( ~ pp(aa(dB,bool,it,X4))
              | ( abs(X4) != X0 ) )
          & ! [X5: list(dB),X6: nat] :
              ( ~ listsp(dB,it,X5)
              | ( foldl(dB,dB,app,var(X6),X5) != X0 ) ) ) )
      & ( sP0(X0)
        | ? [X4: dB] :
            ( pp(aa(dB,bool,it,X4))
            & ( abs(X4) = X0 ) )
        | ? [X5: list(dB),X6: nat] :
            ( listsp(dB,it,X5)
            & ( foldl(dB,dB,app,var(X6),X5) = X0 ) )
        | ~ sP1(X0) ) ),
    inference(flattening,[],[f251]) ).

tff(f251,plain,
    ! [X0: dB] :
      ( ( sP1(X0)
        | ( ~ sP0(X0)
          & ! [X4: dB] :
              ( ~ pp(aa(dB,bool,it,X4))
              | ( abs(X4) != X0 ) )
          & ! [X5: list(dB),X6: nat] :
              ( ~ listsp(dB,it,X5)
              | ( foldl(dB,dB,app,var(X6),X5) != X0 ) ) ) )
      & ( sP0(X0)
        | ? [X4: dB] :
            ( pp(aa(dB,bool,it,X4))
            & ( abs(X4) = X0 ) )
        | ? [X5: list(dB),X6: nat] :
            ( listsp(dB,it,X5)
            & ( foldl(dB,dB,app,var(X6),X5) = X0 ) )
        | ~ sP1(X0) ) ),
    inference(nnf_transformation,[],[f240]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL812_5 : TPTP v8.1.2. Released v6.0.0.
% 0.10/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n027.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   : Fri May  3 14:07:36 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (25415)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34  % (25418)WARNING: value z3 for option sas not known
% 0.17/0.34  % (25420)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.34  % (25416)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.34  % (25419)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.34  % (25422)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.34  % (25421)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.34  % (25417)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.34  % (25418)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.35  % (25422)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.17/0.35  % Exception at run slice level
% 0.17/0.35  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.35  % Exception at run slice level
% 0.17/0.35  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.35  % Exception at run slice level
% 0.17/0.35  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.36  % (25424)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.17/0.36  % (25423)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.17/0.37  % (25425)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.17/0.37  % (25424)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.17/0.37  % (25423)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.17/0.37  % Exception at run slice level
% 0.17/0.37  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.39  % (25426)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.17/0.39  % (25425)First to succeed.
% 0.17/0.39  % (25425)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25415"
% 0.17/0.39  % (25425)Refutation found. Thanks to Tanya!
% 0.17/0.39  % SZS status Theorem for theBenchmark
% 0.17/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.39  % (25425)------------------------------
% 0.17/0.39  % (25425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.39  % (25425)Termination reason: Refutation
% 0.17/0.39  
% 0.17/0.39  % (25425)Memory used [KB]: 1302
% 0.17/0.39  % (25425)Time elapsed: 0.027 s
% 0.17/0.39  % (25425)Instructions burned: 55 (million)
% 0.17/0.39  % (25415)Success in time 0.07 s
%------------------------------------------------------------------------------