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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL811_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:00:41 PM UTC 2026

% Result   : Theorem 11.37s 2.10s
% Output   : Refutation 11.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   54 (  42 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   51 (  21   ~;  18   |;  11   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-6 aty)
%            Number of functors    :   61 (  61 usr;  17 con; 0-6 aty)
%            Number of variables   :   90 (  84   !;   6   ?;  90   :)

% 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,
    combk: 
      !>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).

tff(func_def_4,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).

tff(func_def_5,type,
    plus_plus: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_6,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_7,type,
    it: fun(dB,bool) ).

tff(func_def_8,type,
    abs: dB > dB ).

tff(func_def_9,type,
    app: fun(dB,fun(dB,dB)) ).

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

tff(func_def_11,type,
    dB_case: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).

tff(func_def_12,type,
    dB_size: dB > nat ).

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

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

tff(func_def_15,type,
    subst: fun(dB,fun(dB,fun(nat,dB))) ).

tff(func_def_16,type,
    substn: ( dB * dB * nat ) > dB ).

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

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

tff(func_def_19,type,
    list_case: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).

tff(func_def_20,type,
    list_rec: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).

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

tff(func_def_22,type,
    monoid_add_listsum: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

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

tff(func_def_24,type,
    suc: nat > nat ).

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,
    b: dB ).

tff(func_def_33,type,
    bs: list(dB) ).

tff(func_def_34,type,
    i: nat ).

tff(func_def_35,type,
    n: nat ).

tff(func_def_36,type,
    rs: list(dB) ).

tff(func_def_37,type,
    t: dB ).

tff(func_def_38,type,
    u: dB ).

tff(func_def_39,type,
    ua: dB ).

tff(func_def_40,type,
    sK5: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > X1 ) ).

tff(func_def_41,type,
    sK6: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * fun(X1,X0) * list(X0) * X0 ) > list(X1) ) ).

tff(func_def_42,type,
    sK7: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > X0 ) ).

tff(func_def_43,type,
    sK8: 
      !>[X0: $tType,X1: $tType] : ( ( list(X1) * X1 * list(X0) * fun(X0,X1) ) > list(X0) ) ).

tff(func_def_44,type,
    sK9: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X1 * fun(X0,X1) * list(X1) ) > X0 ) ).

tff(func_def_45,type,
    sK10: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X1 * fun(X0,X1) * list(X1) ) > list(X0) ) ).

tff(func_def_46,type,
    sK11: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X1 * fun(X0,X1) * list(X1) ) > X0 ) ).

tff(func_def_47,type,
    sK12: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X1 * fun(X0,X1) * list(X1) ) > list(X0) ) ).

tff(func_def_48,type,
    sK13: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_49,type,
    sK14: dB > list(dB) ).

tff(func_def_50,type,
    sK15: dB > nat ).

tff(func_def_51,type,
    sK16: dB > dB ).

tff(func_def_52,type,
    sK17: dB > dB ).

tff(func_def_53,type,
    sK18: dB > dB ).

tff(func_def_54,type,
    sK19: dB > list(dB) ).

tff(func_def_55,type,
    sK20: nat > nat ).

tff(func_def_56,type,
    sK21: fun(nat,bool) > nat ).

tff(func_def_57,type,
    sK22: nat > nat ).

tff(func_def_58,type,
    sK23: fun(nat,bool) > nat ).

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

tff(pred_def_2,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    listsp: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_6,type,
    null: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

tff(pred_def_7,type,
    pp: bool > $o ).

tff(pred_def_8,type,
    sP0: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X1 * fun(X0,X1) * list(X1) ) > $o ) ).

tff(pred_def_9,type,
    sP1: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) * X1 * fun(X0,X1) * list(X1) ) > $o ) ).

tff(pred_def_10,type,
    sP2: dB > $o ).

tff(pred_def_11,type,
    sP3: dB > $o ).

tff(pred_def_12,type,
    sP4: dB > $o ).

tff(f5,axiom,
    listsp(dB,it,cons(dB,aa(nat,dB,aa(dB,fun(nat,dB),lift,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i)),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),bs)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__096listsp_AIT_A_Ilift_A_Ib_091u_Pi_093_J_A0_A_D_Amap_A_I_Ft_O_Alift_At_A0_J_A_Imap_A_I_Ft_O_At_091u_Pi_093_J_Abs_J_J_096) ).

tff(f19,axiom,
    ! [X0: $tType,X1: $tType,X2: list(X1),X3: X1,X4: list(X0),X5: fun(X0,X1)] :
      ( ( map(X0,X1,X5,X4) = cons(X1,X3,X2) )
    <=> ? [X6: X0,X7: list(X0)] :
          ( ( X4 = cons(X0,X6,X7) )
          & ( aa(X0,X1,X5,X6) = X3 )
          & ( map(X0,X1,X5,X7) = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_map__eq__Cons__conv) ).

tff(f105,axiom,
    ! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).

tff(f112,conjecture,
    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),cons(dB,b,bs)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f113,negated_conjecture,
    ~ 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),cons(dB,b,bs)))),
    inference(negated_conjecture,[status(cth)],[f112]) ).

tff(f115,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),cons(dB,b,bs)))),
    inference(flattening,[],[f113]) ).

tff(f157,plain,
    ! [X0: $tType,X1: $tType,X2: list(X1),X3: X1,X4: list(X0),X5: fun(X0,X1)] :
      ( ( ( map(X0,X1,X5,X4) = cons(X1,X3,X2) )
        | ! [X6: X0,X7: list(X0)] :
            ( ( cons(X0,X6,X7) != X4 )
            | ( aa(X0,X1,X5,X6) != X3 )
            | ( map(X0,X1,X5,X7) != X2 ) ) )
      & ( ? [X6: X0,X7: list(X0)] :
            ( ( X4 = cons(X0,X6,X7) )
            & ( aa(X0,X1,X5,X6) = X3 )
            & ( map(X0,X1,X5,X7) = X2 ) )
        | ( cons(X1,X3,X2) != map(X0,X1,X5,X4) ) ) ),
    inference(nnf_transformation,[],[f19]) ).

tff(f158,plain,
    ! [X0: $tType,X1: $tType,X2: list(X1),X3: X1,X4: list(X0),X5: fun(X0,X1)] :
      ( ( ( map(X0,X1,X5,X4) = cons(X1,X3,X2) )
        | ! [X6: X0,X7: list(X0)] :
            ( ( cons(X0,X6,X7) != X4 )
            | ( aa(X0,X1,X5,X6) != X3 )
            | ( map(X0,X1,X5,X7) != X2 ) ) )
      & ( ? [X8: X0,X9: list(X0)] :
            ( ( cons(X0,X8,X9) = X4 )
            & ( aa(X0,X1,X5,X8) = X3 )
            & ( map(X0,X1,X5,X9) = X2 ) )
        | ( cons(X1,X3,X2) != map(X0,X1,X5,X4) ) ) ),
    inference(rectify,[],[f157]) ).

tff(f159,plain,
    ! [X0: $tType,X1: $tType,X2: list(X1),X3: X1,X4: list(X0),X5: fun(X0,X1)] :
      ( ( ( map(X0,X1,X5,X4) = cons(X1,X3,X2) )
        | ! [X6: X0,X7: list(X0)] :
            ( ( cons(X0,X6,X7) != X4 )
            | ( aa(X0,X1,X5,X6) != X3 )
            | ( map(X0,X1,X5,X7) != X2 ) ) )
      & ( ( ( cons(X0,sK7(X0,X1,X2,X3,X4,X5),sK8(X0,X1,X2,X3,X4,X5)) = X4 )
          & ( aa(X0,X1,X5,sK7(X0,X1,X2,X3,X4,X5)) = X3 )
          & ( map(X0,X1,X5,sK8(X0,X1,X2,X3,X4,X5)) = X2 ) )
        | ( cons(X1,X3,X2) != map(X0,X1,X5,X4) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X8,sK7(X0,X1,X2,X3,X4,X5)),skolemize(X9,sK8(X0,X1,X2,X3,X4,X5))],[f158]) ).

tff(f203,plain,
    listsp(dB,it,cons(dB,aa(nat,dB,aa(dB,fun(nat,dB),lift,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i)),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),bs)))),
    inference(cnf_transformation,[],[f5]) ).

tff(f227,plain,
    ! [X1: $tType,X0: $tType,X2: list(X1),X3: X1,X6: X0,X7: list(X0),X4: list(X0),X5: fun(X0,X1)] :
      ( ( cons(X1,X3,X2) = map(X0,X1,X5,X4) )
      | ( cons(X0,X6,X7) != X4 )
      | ( aa(X0,X1,X5,X6) != X3 )
      | ( map(X0,X1,X5,X7) != X2 ) ),
    inference(cnf_transformation,[],[f159]) ).

tff(f349,plain,
    ! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun(X0,fun(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun(X2,X1),X5,X3),X4) ),
    inference(cnf_transformation,[],[f105]) ).

tff(f356,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),cons(dB,b,bs)))),
    inference(cnf_transformation,[],[f115]) ).

tff(f364,plain,
    ! [X1: $tType,X0: $tType,X2: list(X1),X3: X1,X6: X0,X7: list(X0),X5: fun(X0,X1)] :
      ( ( cons(X1,X3,X2) = map(X0,X1,X5,cons(X0,X6,X7)) )
      | ( aa(X0,X1,X5,X6) != X3 )
      | ( map(X0,X1,X5,X7) != X2 ) ),
    inference(equality_resolution,[],[f227]) ).

tff(f365,plain,
    ! [X1: $tType,X0: $tType,X2: list(X1),X6: X0,X7: list(X0),X5: fun(X0,X1)] :
      ( ( map(X0,X1,X5,cons(X0,X6,X7)) = cons(X1,aa(X0,X1,X5,X6),X2) )
      | ( map(X0,X1,X5,X7) != X2 ) ),
    inference(equality_resolution,[],[f364]) ).

tff(f366,plain,
    ! [X1: $tType,X0: $tType,X6: X0,X7: list(X0),X5: fun(X0,X1)] : ( map(X0,X1,X5,cons(X0,X6,X7)) = cons(X1,aa(X0,X1,X5,X6),map(X0,X1,X5,X7)) ),
    inference(equality_resolution,[],[f365]) ).

tff(f424,plain,
    listsp(dB,it,cons(dB,aa(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i)),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),bs)))),
    inference(forward_demodulation,[],[f203,f349]) ).

tff(f441,plain,
    listsp(dB,it,map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),cons(dB,aa(nat,dB,aa(dB,fun(nat,dB),aa(dB,fun(dB,fun(nat,dB)),subst,b),u),i),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),bs)))),
    inference(forward_demodulation,[],[f424,f366]) ).

tff(f446,plain,
    listsp(dB,it,map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),cons(dB,aa(dB,dB,combc(dB,nat,dB,aa(dB,fun(dB,fun(nat,dB)),subst,b),i),u),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),bs)))),
    inference(forward_demodulation,[],[f441,f349]) ).

tff(f489,plain,
    ! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X6: X0,X7: X1,X4: fun(X3,fun(X0,fun(X1,X2))),X5: X3] : ( aa(X3,X2,combc(X3,X1,X2,combc(X3,X0,fun(X1,X2),X4,X6),X7),X5) = aa(X1,X2,aa(X0,fun(X1,X2),aa(X3,fun(X0,fun(X1,X2)),X4,X5),X6),X7) ),
    inference(superposition,[],[f349,f349]) ).

tff(f1000,plain,
    ! [X1: $tType,X0: $tType,X3: $tType,X2: $tType,X6: X2,X7: X0,X4: fun(X0,fun(X3,fun(X2,X1))),X5: X3] : ( aa(X0,X1,combc(X0,X2,X1,combc(X0,X3,fun(X2,X1),X4,X5),X6),X7) = aa(X3,X1,combc(X3,X2,X1,aa(X0,fun(X3,fun(X2,X1)),X4,X7),X6),X5) ),
    inference(superposition,[],[f349,f489]) ).

tff(f5874,plain,
    listsp(dB,it,map(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),cons(dB,aa(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),b),map(dB,dB,combc(dB,nat,dB,combc(dB,dB,fun(nat,dB),subst,u),i),bs)))),
    inference(superposition,[],[f446,f1000]) ).

tff(f5906,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),cons(dB,b,bs)))),
    inference(forward_demodulation,[],[f5874,f366]) ).

tff(f5933,plain,
    $false,
    inference(global_subsumption,[],[f5906,f356]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL811_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n003.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 16:55:56 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.67/1.55  % (780640)Will run a generic schedule for satisfiability detection.
% 6.67/1.55  % (780650)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2957243776:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.67/1.55  % (780646)% WARNING: option uhcvi not known.
% 6.67/1.55  % (780645)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=234518131_2999 on theBenchmark for (2999ds/0Mi)
% 6.67/1.55  % (780646)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2355406342:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.67/1.55  % (780647)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3446210440:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.67/1.55  % (780648)dis+10_1_sil=32000:sp=arity:random_seed=1602716931:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.67/1.55  % (780649)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1333280601:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.67/1.55  % (780651)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1803121697:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.67/1.55  % Exception at run slice level
% 6.67/1.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.67/1.55  % (780659)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2981627377:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.67/1.55  % Exception at run slice level
% 6.67/1.55  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 6.67/1.55  % (780650)Instruction limit reached! 
% 6.67/1.55  % (780650)------------------------------
% 6.67/1.55  % (780650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.55  % (780650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.55  % (780650)CaDiCaL version: 2.1.3
% 6.67/1.55  % (780650)Termination reason: Instruction limit
% 6.67/1.55  % (780650)Termination phase: Saturation
% 6.67/1.55  % (780650)Time elapsed: 0.046 s
% 6.67/1.55  % (780650)Peak memory usage: 13 MB
% 6.67/1.55  % (780650)Instructions burned: 131 (million)
% 6.67/1.55  % (780661)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1122769242:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.67/1.55  % (780662)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2382512127:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.67/1.55  % (780648)Instruction limit reached! 
% 6.67/1.55  % (780648)------------------------------
% 6.67/1.55  % (780648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.55  % (780648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.55  % (780648)CaDiCaL version: 2.1.3
% 6.67/1.55  % (780648)Termination reason: Instruction limit
% 6.67/1.55  % (780648)Termination phase: Saturation
% 6.67/1.55  % (780648)Time elapsed: 0.063 s
% 6.67/1.55  % (780648)Peak memory usage: 12 MB
% 6.67/1.55  % (780648)Instructions burned: 105 (million)
% 6.67/1.55  % (780649)Instruction limit reached! 
% 6.67/1.55  % (780649)------------------------------
% 6.67/1.55  % (780649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.55  % (780649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.55  % (780649)CaDiCaL version: 2.1.3
% 6.67/1.55  % (780649)Termination reason: Instruction limit
% 6.67/1.55  % (780649)Termination phase: Saturation
% 6.67/1.55  % (780649)Time elapsed: 0.071 s
% 6.67/1.55  % (780649)Peak memory usage: 12 MB
% 6.67/1.55  % (780649)Instructions burned: 117 (million)
% 6.67/1.55  % (780665)ott-21_1_sil=16000:fs=off:random_seed=1473912969:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.67/1.55  % (780666)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3078520010:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.67/1.55  % (780651)Instruction limit reached! 
% 6.67/1.55  % (780651)------------------------------
% 6.67/1.55  % (780651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.55  % (780651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.55  % (780651)CaDiCaL version: 2.1.3
% 6.67/1.55  % (780651)Termination reason: Instruction limit
% 6.67/1.55  % (780651)Termination phase: Saturation
% 6.67/1.55  % (780651)Time elapsed: 0.094 s
% 11.37/2.10  % (780651)Peak memory usage: 14 MB
% 11.37/2.10  % (780651)Instructions burned: 160 (million)
% 11.37/2.10  % (780669)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3225283586:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 11.37/2.10  % Exception at run slice level
% 11.37/2.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.37/2.10  % (780661)Instruction limit reached! 
% 11.37/2.10  % (780661)------------------------------
% 11.37/2.10  % (780661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780661)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780661)Termination reason: Instruction limit
% 11.37/2.10  % (780661)Termination phase: Saturation
% 11.37/2.10  % (780661)Time elapsed: 0.087 s
% 11.37/2.10  % (780661)Peak memory usage: 13 MB
% 11.37/2.10  % (780661)Instructions burned: 131 (million)
% 11.37/2.10  % (780671)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=41526740:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 11.37/2.10  % (780672)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1719486528:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 11.37/2.10  % Exception at run slice level
% 11.37/2.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.37/2.10  % (780675)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2610804517:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 11.37/2.10  % (780665)Instruction limit reached! 
% 11.37/2.10  % (780665)------------------------------
% 11.37/2.10  % (780665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780665)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780665)Termination reason: Instruction limit
% 11.37/2.10  % (780665)Termination phase: Saturation
% 11.37/2.10  % (780665)Time elapsed: 0.100 s
% 11.37/2.10  % (780665)Peak memory usage: 12 MB
% 11.37/2.10  % (780665)Instructions burned: 180 (million)
% 11.37/2.10  % (780677)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4135983769:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 11.37/2.10  % (780662)Instruction limit reached! 
% 11.37/2.10  % (780662)------------------------------
% 11.37/2.10  % (780662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780662)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780662)Termination reason: Instruction limit
% 11.37/2.10  % (780662)Termination phase: Saturation
% 11.37/2.10  % (780662)Time elapsed: 0.203 s
% 11.37/2.10  % (780662)Peak memory usage: 16 MB
% 11.37/2.10  % (780662)Instructions burned: 684 (million)
% 11.37/2.10  % (780679)fmb+10_1_sil=64000:random_seed=1688455792:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 11.37/2.10  % (780679)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 11.37/2.10  % Exception at run slice level
% 11.37/2.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.37/2.10  % (780681)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=232335202:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 11.37/2.10  % Exception at run slice level
% 11.37/2.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.37/2.10  % (780683)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3785545032:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 11.37/2.10  % Exception at run slice level
% 11.37/2.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.37/2.10  % (780685)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=287560528:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 11.37/2.10  % (780666)Instruction limit reached! 
% 11.37/2.10  % (780666)------------------------------
% 11.37/2.10  % (780666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780666)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780666)Termination reason: Instruction limit
% 11.37/2.10  % (780666)Termination phase: Saturation
% 11.37/2.10  % (780666)Time elapsed: 0.296 s
% 11.37/2.10  % (780666)Peak memory usage: 14 MB
% 11.37/2.10  % (780666)Instructions burned: 478 (million)
% 11.37/2.10  % (780687)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3605804497:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 11.37/2.10  % (780687)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 11.37/2.10  % (780675)Instruction limit reached! 
% 11.37/2.10  % (780675)------------------------------
% 11.37/2.10  % (780675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780675)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780675)Termination reason: Instruction limit
% 11.37/2.10  % (780675)Termination phase: Saturation
% 11.37/2.10  % (780675)Time elapsed: 0.390 s
% 11.37/2.10  % (780675)Peak memory usage: 17 MB
% 11.37/2.10  % (780675)Instructions burned: 694 (million)
% 11.37/2.10  % (780689)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2240843952:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 11.37/2.10  % Exception at run slice level
% 11.37/2.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.37/2.10  % (780691)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2254942587:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 11.37/2.10  % Exception at run slice level
% 11.37/2.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.37/2.10  % (780693)ott-2_1_sil=16000:newcnf=on:random_seed=3196111506:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 11.37/2.10  % (780677)Instruction limit reached! 
% 11.37/2.10  % (780677)------------------------------
% 11.37/2.10  % (780677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780677)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780677)Termination reason: Instruction limit
% 11.37/2.10  % (780677)Termination phase: Saturation
% 11.37/2.10  % (780677)Time elapsed: 0.494 s
% 11.37/2.10  % (780677)Peak memory usage: 18 MB
% 11.37/2.10  % (780677)Instructions burned: 879 (million)
% 11.37/2.10  % (780695)ott+10_1_sil=32000:tgt=ground:random_seed=2616335704:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 11.37/2.10  % (780671)Instruction limit reached! 
% 11.37/2.10  % (780671)------------------------------
% 11.37/2.10  % (780671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780671)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780671)Termination reason: Instruction limit
% 11.37/2.10  % (780671)Termination phase: Saturation
% 11.37/2.10  % (780671)Time elapsed: 0.693 s
% 11.37/2.10  % (780671)Peak memory usage: 21 MB
% 11.37/2.10  % (780671)Instructions burned: 1179 (million)
% 11.37/2.10  % (780697)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=557876499:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 11.37/2.10  % Exception at run slice level
% 11.37/2.10  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 11.37/2.10  % (780699)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3635988500:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 11.37/2.10  % (780693)Instruction limit reached! 
% 11.37/2.10  % (780693)------------------------------
% 11.37/2.10  % (780693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780693)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780693)Termination reason: Instruction limit
% 11.37/2.10  % (780693)Termination phase: Saturation
% 11.37/2.10  % (780693)Time elapsed: 0.437 s
% 11.37/2.10  % (780693)Peak memory usage: 15 MB
% 11.37/2.10  % (780693)Instructions burned: 870 (million)
% 11.37/2.10  % (780687)Instruction limit reached! 
% 11.37/2.10  % (780687)------------------------------
% 11.37/2.10  % (780687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.10  % (780687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.10  % (780687)CaDiCaL version: 2.1.3
% 11.37/2.10  % (780687)Termination reason: Instruction limit
% 11.37/2.10  % (780687)Termination phase: Saturation
% 11.37/2.10  % (780687)Time elapsed: 0.674 s
% 11.37/2.10  % (780687)Peak memory usage: 20 MB
% 11.37/2.10  % (780687)Instructions burned: 1474 (million)
% 11.37/2.10  % (780701)dis+21_1_sil=32000:sas=cadical:random_seed=2282010074:i=3773:amm=off_2988 on theBenchmark for (2988ds/3773Mi)
% 11.37/2.10  % (780702)ott+11_1_sil=16000:gs=on:random_seed=3601886300:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 11.37/2.10  % (780702) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-780640-780702"...
% 11.37/2.10  % (780702)...printing done.
% 11.37/2.10  % (780702)Refutation found. Thanks to Tanya!
% 11.37/2.10  % SZS status Theorem for theBenchmark
% 11.37/2.10  % SZS output start Proof for theBenchmark
% See solution above
% 11.37/2.11  % (780702)------------------------------
% 11.37/2.11  % (780702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.37/2.11  % (780702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.11  % (780702)CaDiCaL version: 2.1.3
% 11.37/2.11  % (780702)Termination reason: Refutation
% 11.37/2.11  % (780702)Time elapsed: 0.526 s
% 11.37/2.11  % (780702)Peak memory usage: 20 MB
% 11.37/2.11  % (780702)Instructions burned: 933 (million)
% 11.37/2.11  % (780640)Success in time 1.684 s
% 11.37/2.11  % Vampire exiting
%------------------------------------------------------------------------------