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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL794_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 12:00:37 PM UTC 2026

% Result   : Theorem 53.96s 8.08s
% Output   : Refutation 53.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   46 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :   76 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   61 (  31   ~;  25   |;   0   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   79 (  79 usr;  27 con; 0-5 aty)
%            Number of variables   :  100 ( 100   !;   0   ?; 100   :)

% 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,
    type: $tType ).

tff(type_def_10,type,
    fun1: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun1(fun1(X0,X1),fun1(fun1(X2,X0),fun1(X2,X1))) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun1(X0,fun1(X1,X2)) * X1 ) > fun1(X0,X2) ) ).

tff(func_def_2,type,
    combi: 
      !>[X0: $tType] : fun1(X0,X0) ).

tff(func_def_3,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun1(X0,fun1(X1,X2)) * fun1(X0,X1) ) > fun1(X0,X2) ) ).

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

tff(func_def_5,type,
    it: fun1(dB,bool) ).

tff(func_def_6,type,
    beta: fun1(dB,fun1(dB,bool)) ).

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

tff(func_def_8,type,
    app: fun1(dB,fun1(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: fun1(dB,fun1(nat,dB)) ).

tff(func_def_12,type,
    subst: fun1(dB,fun1(dB,fun1(nat,dB))) ).

tff(func_def_13,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X0,fun1(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_14,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X0,fun1(X1,X1)) * list(X0) * X1 ) > X1 ) ).

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

tff(func_def_16,type,
    list_case: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun1(X1,fun1(list(X1),X0)) * list(X1) ) > X0 ) ).

tff(func_def_17,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X0,X1) * list(X0) ) > list(X1) ) ).

tff(func_def_18,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_19,type,
    shift: 
      !>[X0: $tType] : ( ( fun1(nat,X0) * nat * X0 ) > fun1(nat,X0) ) ).

tff(func_def_20,type,
    fun: fun1(type,fun1(type,type)) ).

tff(func_def_21,type,
    type_case: 
      !>[X0: $tType] : ( ( fun1(nat,X0) * fun1(type,fun1(type,X0)) * type ) > X0 ) ).

tff(func_def_22,type,
    typing: ( fun1(nat,type) * dB ) > fun1(type,bool) ).

tff(func_def_23,type,
    typings: ( fun1(nat,type) * list(dB) ) > fun1(list(type),bool) ).

tff(func_def_24,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X0,X1) * X0 ) > X1 ) ).

tff(func_def_25,type,
    fFalse: bool ).

tff(func_def_26,type,
    fTrue: bool ).

tff(func_def_27,type,
    fconj: fun1(bool,fun1(bool,bool)) ).

tff(func_def_28,type,
    t1: type ).

tff(func_def_29,type,
    t: type ).

tff(func_def_30,type,
    t_a: type ).

tff(func_def_31,type,
    t2: type ).

tff(func_def_32,type,
    ts: list(type) ).

tff(func_def_33,type,
    a: dB ).

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

tff(func_def_35,type,
    e: fun1(nat,type) ).

tff(func_def_36,type,
    ea: fun1(nat,type) ).

tff(func_def_37,type,
    i: nat ).

tff(func_def_38,type,
    ia: nat ).

tff(func_def_39,type,
    n: nat ).

tff(func_def_40,type,
    rs: list(dB) ).

tff(func_def_41,type,
    t3: dB ).

tff(func_def_42,type,
    u: dB ).

tff(func_def_43,type,
    ua: dB ).

tff(func_def_44,type,
    sK2: type ).

tff(func_def_45,type,
    sK3: ( type * dB * dB * fun1(nat,type) ) > type ).

tff(func_def_46,type,
    sK4: list(type) ).

tff(func_def_47,type,
    sK5: ( type * list(dB) * nat * fun1(nat,type) ) > list(type) ).

tff(func_def_48,type,
    sK6: ( type * type * list(dB) * fun1(nat,type) ) > list(type) ).

tff(func_def_49,type,
    sK7: ( type * list(dB) * dB * fun1(nat,type) ) > list(type) ).

tff(func_def_50,type,
    sK8: ( type * list(dB) * dB * fun1(nat,type) ) > list(type) ).

tff(func_def_51,type,
    sK9: ( type * dB * fun1(nat,type) ) > type ).

tff(func_def_52,type,
    sK10: ( type * dB * fun1(nat,type) ) > type ).

tff(func_def_53,type,
    sK11: ( dB * fun1(nat,type) ) > type ).

tff(func_def_54,type,
    sK12: ( dB * fun1(nat,type) ) > type ).

tff(func_def_55,type,
    sK13: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X1,X0) * fun1(X1,X0) ) > X1 ) ).

tff(func_def_56,type,
    sK14: dB > dB ).

tff(func_def_57,type,
    sK15: dB > dB ).

tff(func_def_58,type,
    sK16: dB > list(dB) ).

tff(func_def_59,type,
    sK17: dB > list(dB) ).

tff(func_def_60,type,
    sK18: dB > nat ).

tff(func_def_61,type,
    sK19: dB > dB ).

tff(func_def_62,type,
    sK20: ( dB * dB ) > dB ).

tff(func_def_63,type,
    sK21: ( dB * dB * dB ) > dB ).

tff(func_def_64,type,
    sK22: ( dB * dB * dB ) > dB ).

tff(func_def_65,type,
    sK23: ( dB * dB * dB ) > dB ).

tff(func_def_66,type,
    sK24: ( dB * list(dB) * dB ) > dB ).

tff(func_def_67,type,
    sK25: ( dB * list(dB) * dB ) > dB ).

tff(func_def_68,type,
    sK26: ( dB * list(dB) * dB ) > list(dB) ).

tff(func_def_69,type,
    sK27: ( dB * list(dB) * dB ) > list(dB) ).

tff(func_def_70,type,
    sK28: ( dB * list(dB) * dB ) > dB ).

tff(func_def_71,type,
    sK29: ( dB * list(dB) * nat ) > list(dB) ).

tff(func_def_72,type,
    sK30: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * fun1(X0,fun1(X0,bool)) ) > list(X0) ) ).

tff(func_def_73,type,
    sK31: 
      !>[X0: $tType] : ( ( list(X0) * X0 * list(X0) * fun1(X0,fun1(X0,bool)) ) > X0 ) ).

tff(func_def_74,type,
    sK32: 
      !>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X1 ) ).

tff(func_def_75,type,
    sK33: 
      !>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X1 ) ).

tff(func_def_76,type,
    sK34: 
      !>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X0 ) ).

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

tff(pred_def_2,type,
    step1: 
      !>[X0: $tType] : ( ( fun1(X0,fun1(X0,bool)) * list(X0) * list(X0) ) > $o ) ).

tff(pred_def_3,type,
    listsp: 
      !>[X0: $tType] : ( ( fun1(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_4,type,
    pp: bool > $o ).

tff(pred_def_5,type,
    sP0: dB > $o ).

tff(pred_def_6,type,
    sP1: ( dB * list(dB) * dB ) > $o ).

tff(f4,axiom,
    pp(aa(type,bool,typing(e,u),t2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_uT) ).

tff(f5,axiom,
    ! [X0: type,X1: nat,X2: type,X3: dB,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(X4,X3),X2))
     => pp(aa(type,bool,typing(shift(type,X4,X1,X0),aa(nat,dB,aa(dB,fun1(nat,dB),lift,X3),X1)),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_lift__type) ).

tff(f7,axiom,
    ! [X0: dB,X1: type,X2: type,X3: dB,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(X4,X3),aa(type,type,aa(type,fun1(type,type),fun,X2),X1)))
     => ( pp(aa(type,bool,typing(X4,X0),X2))
       => pp(aa(type,bool,typing(X4,aa(dB,dB,aa(dB,fun1(dB,dB),app,X3),X0)),X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_App) ).

tff(f8,axiom,
    t2 = aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_T) ).

tff(f11,axiom,
    ! [X0: type,X1: nat,X2: fun1(nat,type)] :
      ( ( aa(nat,type,X2,X1) = X0 )
     => pp(aa(type,bool,typing(X2,var(X1)),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_typing_OVar) ).

tff(f24,axiom,
    ! [X0: $tType,X1: X0,X2: fun1(nat,X0),X3: nat,X4: nat] :
      ( ( X4 = X3 )
     => ( aa(nat,X0,shift(X0,X2,X4,X1),X3) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_shift__eq) ).

tff(f102,axiom,
    pp(fTrue),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).

tff(f104,axiom,
    ! [X0: $tType,X1: $tType,X2: $tType,X3: X0,X4: X2,X5: fun1(X0,fun1(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun1(X2,X1),X5,X3),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).

tff(f110,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

tff(f111,axiom,
    ! [X0: bool] :
      ( ( X0 = fTrue )
      | ( X0 = fFalse ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).

tff(f112,conjecture,
    pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,aa(dB,fun1(dB,dB),app,aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),var(zero_zero(nat)))),foldr(type,type,fun,ts,t))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f113,negated_conjecture,
    ~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,aa(dB,fun1(dB,dB),app,aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),var(zero_zero(nat)))),foldr(type,type,fun,ts,t))),
    inference(negated_conjecture,[status(cth)],[f112]) ).

tff(f116,plain,
    ~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,aa(dB,fun1(dB,dB),app,aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),var(zero_zero(nat)))),foldr(type,type,fun,ts,t))),
    inference(flattening,[],[f113]) ).

tff(f117,plain,
    ! [X0: type,X1: nat,X2: type,X3: dB,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(shift(type,X4,X1,X0),aa(nat,dB,aa(dB,fun1(nat,dB),lift,X3),X1)),X2))
      | ~ pp(aa(type,bool,typing(X4,X3),X2)) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f118,plain,
    ! [X0: dB,X1: type,X2: type,X3: dB,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(X4,aa(dB,dB,aa(dB,fun1(dB,dB),app,X3),X0)),X1))
      | ~ pp(aa(type,bool,typing(X4,X0),X2))
      | ~ pp(aa(type,bool,typing(X4,X3),aa(type,type,aa(type,fun1(type,type),fun,X2),X1))) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f119,plain,
    ! [X0: dB,X1: type,X2: type,X3: dB,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(X4,aa(dB,dB,aa(dB,fun1(dB,dB),app,X3),X0)),X1))
      | ~ pp(aa(type,bool,typing(X4,X0),X2))
      | ~ pp(aa(type,bool,typing(X4,X3),aa(type,type,aa(type,fun1(type,type),fun,X2),X1))) ),
    inference(flattening,[],[f118]) ).

tff(f120,plain,
    ! [X0: type,X1: nat,X2: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(X2,var(X1)),X0))
      | ( aa(nat,type,X2,X1) != X0 ) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f124,plain,
    ! [X0: $tType,X1: X0,X2: fun1(nat,X0),X3: nat,X4: nat] :
      ( ( aa(nat,X0,shift(X0,X2,X4,X1),X3) = X1 )
      | ( X3 != X4 ) ),
    inference(ennf_transformation,[],[f24]) ).

tff(f229,plain,
    pp(aa(type,bool,typing(e,u),t2)),
    inference(cnf_transformation,[],[f4]) ).

tff(f230,plain,
    ! [X2: type,X3: dB,X0: type,X1: nat,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(shift(type,X4,X1,X0),aa(nat,dB,aa(dB,fun1(nat,dB),lift,X3),X1)),X2))
      | ~ pp(aa(type,bool,typing(X4,X3),X2)) ),
    inference(cnf_transformation,[],[f117]) ).

tff(f232,plain,
    ! [X2: type,X3: dB,X0: dB,X1: type,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(X4,aa(dB,dB,aa(dB,fun1(dB,dB),app,X3),X0)),X1))
      | ~ pp(aa(type,bool,typing(X4,X0),X2))
      | ~ pp(aa(type,bool,typing(X4,X3),aa(type,type,aa(type,fun1(type,type),fun,X2),X1))) ),
    inference(cnf_transformation,[],[f119]) ).

tff(f233,plain,
    aa(type,type,aa(type,fun1(type,type),fun,t1),foldr(type,type,fun,ts,t)) = t2,
    inference(cnf_transformation,[],[f8]) ).

tff(f236,plain,
    ! [X2: fun1(nat,type),X0: type,X1: nat] :
      ( pp(aa(type,bool,typing(X2,var(X1)),X0))
      | ( aa(nat,type,X2,X1) != X0 ) ),
    inference(cnf_transformation,[],[f120]) ).

tff(f254,plain,
    ! [X0: $tType,X2: fun1(nat,X0),X3: nat,X1: X0,X4: nat] :
      ( ( aa(nat,X0,shift(X0,X2,X4,X1),X3) = X1 )
      | ( X3 != X4 ) ),
    inference(cnf_transformation,[],[f124]) ).

tff(f385,plain,
    pp(fTrue),
    inference(cnf_transformation,[],[f102]) ).

tff(f387,plain,
    ! [X1: $tType,X0: $tType,X2: $tType,X3: X0,X4: X2,X5: fun1(X0,fun1(X2,X1))] : ( aa(X0,X1,combc(X0,X2,X1,X5,X4),X3) = aa(X2,X1,aa(X0,fun1(X2,X1),X5,X3),X4) ),
    inference(cnf_transformation,[],[f104]) ).

tff(f393,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f110]) ).

tff(f394,plain,
    ! [X0: bool] :
      ( ( fTrue = X0 )
      | ( fFalse = X0 ) ),
    inference(cnf_transformation,[],[f111]) ).

tff(f395,plain,
    ~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,aa(dB,fun1(dB,dB),app,aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),var(zero_zero(nat)))),foldr(type,type,fun,ts,t))),
    inference(cnf_transformation,[],[f116]) ).

tff(f406,plain,
    ! [X2: fun1(nat,type),X1: nat] : pp(aa(type,bool,typing(X2,var(X1)),aa(nat,type,X2,X1))),
    inference(equality_resolution,[],[f236]) ).

tff(f412,plain,
    ! [X0: $tType,X2: fun1(nat,X0),X1: X0,X4: nat] : ( aa(nat,X0,shift(X0,X2,X4,X1),X4) = X1 ),
    inference(equality_resolution,[],[f254]) ).

tff(f496,plain,
    t2 = aa(type,type,combc(type,type,type,fun,foldr(type,type,fun,ts,t)),t1),
    inference(forward_demodulation,[],[f233,f387]) ).

tff(f497,plain,
    ! [X2: type,X3: dB,X0: dB,X1: type,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(X4,aa(dB,dB,combc(dB,dB,dB,app,X0),X3)),X1))
      | ~ pp(aa(type,bool,typing(X4,X0),X2))
      | ~ pp(aa(type,bool,typing(X4,X3),aa(type,type,aa(type,fun1(type,type),fun,X2),X1))) ),
    inference(forward_demodulation,[],[f232,f387]) ).

tff(f499,plain,
    ! [X2: type,X3: dB,X0: type,X1: nat,X4: fun1(nat,type)] :
      ( pp(aa(type,bool,typing(shift(type,X4,X1,X0),aa(dB,dB,combc(dB,nat,dB,lift,X1),X3)),X2))
      | ~ pp(aa(type,bool,typing(X4,X3),X2)) ),
    inference(forward_demodulation,[],[f230,f387]) ).

tff(f533,plain,
    ! [X2: type,X3: dB,X0: dB,X1: type,X4: fun1(nat,type)] :
      ( ~ pp(aa(type,bool,typing(X4,X3),aa(type,type,combc(type,type,type,fun,X1),X2)))
      | pp(aa(type,bool,typing(X4,aa(dB,dB,combc(dB,dB,dB,app,X0),X3)),X1))
      | ~ pp(aa(type,bool,typing(X4,X0),X2)) ),
    inference(forward_demodulation,[],[f497,f387]) ).

tff(f573,plain,
    ( ~ pp(fTrue)
    | ( fFalse = aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,aa(dB,fun1(dB,dB),app,aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),var(zero_zero(nat)))),foldr(type,type,fun,ts,t)) ) ),
    inference(superposition,[],[f395,f394]) ).

tff(f586,plain,
    fFalse = aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,aa(dB,fun1(dB,dB),app,aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat))),var(zero_zero(nat)))),foldr(type,type,fun,ts,t)),
    inference(forward_subsumption_resolution,[],[f573,f385]) ).

tff(f587,plain,
    fFalse = aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,combc(dB,dB,dB,app,var(zero_zero(nat))),aa(nat,dB,aa(dB,fun1(nat,dB),lift,u),zero_zero(nat)))),foldr(type,type,fun,ts,t)),
    inference(forward_demodulation,[],[f586,f387]) ).

tff(f588,plain,
    fFalse = aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,combc(dB,dB,dB,app,var(zero_zero(nat))),aa(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),u))),foldr(type,type,fun,ts,t)),
    inference(forward_demodulation,[],[f587,f387]) ).

tff(f612,plain,
    ! [X2: nat,X0: type,X1: fun1(nat,type)] : pp(aa(type,bool,typing(shift(type,X1,X2,X0),var(X2)),X0)),
    inference(superposition,[],[f406,f412]) ).

tff(f1847,plain,
    ! [X2: dB,X0: fun1(nat,type),X1: dB] :
      ( pp(aa(type,bool,typing(X0,aa(dB,dB,combc(dB,dB,dB,app,X2),X1)),foldr(type,type,fun,ts,t)))
      | ~ pp(aa(type,bool,typing(X0,X1),t2))
      | ~ pp(aa(type,bool,typing(X0,X2),t1)) ),
    inference(superposition,[],[f533,f496]) ).

tff(f12522,plain,
    ( pp(fFalse)
    | ~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),u)),t2))
    | ~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),var(zero_zero(nat))),t1)) ),
    inference(superposition,[],[f1847,f588]) ).

tff(f12536,plain,
    ( ~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),u)),t2))
    | ~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),var(zero_zero(nat))),t1)) ),
    inference(forward_subsumption_resolution,[],[f12522,f393]) ).

tff(f12541,plain,
    ~ pp(aa(type,bool,typing(shift(type,e,zero_zero(nat),t1),aa(dB,dB,combc(dB,nat,dB,lift,zero_zero(nat)),u)),t2)),
    inference(forward_subsumption_resolution,[],[f12536,f612]) ).

tff(f12990,plain,
    ~ pp(aa(type,bool,typing(e,u),t2)),
    inference(resolution,[],[f12541,f499]) ).

tff(f13002,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f12990,f229]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL794_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n004.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 16:52:07 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.00/1.51  % (3737172)Will run a generic schedule for satisfiability detection.
% 7.00/1.51  % (3737182)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1563346725:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.00/1.51  % (3737178)% WARNING: option uhcvi not known.
% 7.00/1.51  % (3737177)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2197582519_2999 on theBenchmark for (2999ds/0Mi)
% 7.00/1.51  % (3737178)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4050745538:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.00/1.51  % (3737179)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1355458575:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.00/1.51  % (3737180)dis+10_1_sil=32000:sp=arity:random_seed=2341265177:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.00/1.51  % (3737181)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=155296163:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.00/1.51  % (3737183)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1115793881:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.00/1.51  % Exception at run slice level
% 7.00/1.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.00/1.51  % (3737191)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=729940471:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.00/1.51  % Exception at run slice level
% 7.00/1.51  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.00/1.51  % (3737182)Instruction limit reached! 
% 7.00/1.51  % (3737182)------------------------------
% 7.00/1.51  % (3737182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.51  % (3737182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.51  % (3737182)CaDiCaL version: 2.1.3
% 7.00/1.51  % (3737182)Termination reason: Instruction limit
% 7.00/1.51  % (3737182)Termination phase: Saturation
% 7.00/1.51  % (3737182)Time elapsed: 0.042 s
% 7.00/1.51  % (3737182)Peak memory usage: 13 MB
% 7.00/1.51  % (3737182)Instructions burned: 132 (million)
% 7.00/1.51  % (3737194)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=4060303764:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.00/1.51  % (3737193)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3043980808:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.00/1.51  % (3737180)Instruction limit reached! 
% 7.00/1.51  % (3737180)------------------------------
% 7.00/1.51  % (3737180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.51  % (3737180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.51  % (3737180)CaDiCaL version: 2.1.3
% 7.00/1.51  % (3737180)Termination reason: Instruction limit
% 7.00/1.51  % (3737180)Termination phase: Saturation
% 7.00/1.51  % (3737180)Time elapsed: 0.060 s
% 7.00/1.51  % (3737180)Peak memory usage: 12 MB
% 7.00/1.51  % (3737180)Instructions burned: 106 (million)
% 7.00/1.51  % (3737181)Instruction limit reached! 
% 7.00/1.51  % (3737181)------------------------------
% 7.00/1.51  % (3737181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.51  % (3737181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.51  % (3737181)CaDiCaL version: 2.1.3
% 7.00/1.51  % (3737181)Termination reason: Instruction limit
% 7.00/1.51  % (3737181)Termination phase: Saturation
% 7.00/1.51  % (3737181)Time elapsed: 0.060 s
% 7.00/1.51  % (3737181)Peak memory usage: 12 MB
% 7.00/1.51  % (3737181)Instructions burned: 123 (million)
% 7.00/1.51  % (3737198)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1168554276:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.00/1.51  % (3737197)ott-21_1_sil=16000:fs=off:random_seed=2567201505:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.00/1.51  % (3737183)Instruction limit reached! 
% 7.00/1.51  % (3737183)------------------------------
% 7.00/1.51  % (3737183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.51  % (3737183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.51  % (3737183)CaDiCaL version: 2.1.3
% 7.00/1.51  % (3737183)Termination reason: Instruction limit
% 7.00/1.51  % (3737183)Termination phase: Saturation
% 19.53/3.23  % (3737183)Time elapsed: 0.085 s
% 19.53/3.23  % (3737183)Peak memory usage: 13 MB
% 19.53/3.23  % (3737183)Instructions burned: 160 (million)
% 19.53/3.23  % (3737201)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3394514662:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 19.53/3.23  % Exception at run slice level
% 19.53/3.23  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.53/3.23  % (3737203)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2915677990:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 19.53/3.23  % (3737193)Instruction limit reached! 
% 19.53/3.23  % (3737193)------------------------------
% 19.53/3.23  % (3737193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.23  % (3737193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.23  % (3737193)CaDiCaL version: 2.1.3
% 19.53/3.23  % (3737193)Termination reason: Instruction limit
% 19.53/3.23  % (3737193)Termination phase: Saturation
% 19.53/3.23  % (3737193)Time elapsed: 0.080 s
% 19.53/3.23  % (3737193)Peak memory usage: 13 MB
% 19.53/3.23  % (3737193)Instructions burned: 131 (million)
% 19.53/3.23  % (3737205)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1409331460:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 19.53/3.23  % Exception at run slice level
% 19.53/3.23  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.53/3.23  % (3737197)Instruction limit reached! 
% 19.53/3.23  % (3737197)------------------------------
% 19.53/3.23  % (3737197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.23  % (3737197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.23  % (3737197)CaDiCaL version: 2.1.3
% 19.53/3.23  % (3737197)Termination reason: Instruction limit
% 19.53/3.23  % (3737197)Termination phase: Saturation
% 19.53/3.23  % (3737197)Time elapsed: 0.091 s
% 19.53/3.23  % (3737197)Peak memory usage: 12 MB
% 19.53/3.23  % (3737197)Instructions burned: 182 (million)
% 19.53/3.23  % (3737207)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=449750097: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)
% 19.53/3.23  % (3737208)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=67863692:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 19.53/3.23  % (3737194)Instruction limit reached! 
% 19.53/3.23  % (3737194)------------------------------
% 19.53/3.23  % (3737194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.23  % (3737194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.23  % (3737194)CaDiCaL version: 2.1.3
% 19.53/3.23  % (3737194)Termination reason: Instruction limit
% 19.53/3.23  % (3737194)Termination phase: Saturation
% 19.53/3.23  % (3737194)Time elapsed: 0.168 s
% 19.53/3.23  % (3737194)Peak memory usage: 14 MB
% 19.53/3.23  % (3737194)Instructions burned: 688 (million)
% 19.53/3.23  % (3737211)fmb+10_1_sil=64000:random_seed=1554634016:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 19.53/3.23  % (3737211)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 19.53/3.23  % Exception at run slice level
% 19.53/3.23  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.53/3.23  % (3737213)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=33054130:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 19.53/3.23  % Exception at run slice level
% 19.53/3.23  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.53/3.23  % (3737215)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1625451290:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 19.53/3.23  % Exception at run slice level
% 19.53/3.23  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 19.53/3.23  % (3737217)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=478005946:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 19.53/3.23  % (3737198)Instruction limit reached! 
% 19.53/3.23  % (3737198)------------------------------
% 19.53/3.23  % (3737198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.23  % (3737198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737198)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737198)Termination reason: Instruction limit
% 53.96/8.08  % (3737198)Termination phase: Saturation
% 53.96/8.08  % (3737198)Time elapsed: 0.276 s
% 53.96/8.08  % (3737198)Peak memory usage: 14 MB
% 53.96/8.08  % (3737198)Instructions burned: 478 (million)
% 53.96/8.08  % (3737219)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2267595531:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 53.96/8.08  % (3737219)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 53.96/8.08  % (3737207)Instruction limit reached! 
% 53.96/8.08  % (3737207)------------------------------
% 53.96/8.08  % (3737207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737207)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737207)Termination reason: Instruction limit
% 53.96/8.08  % (3737207)Termination phase: Saturation
% 53.96/8.08  % (3737207)Time elapsed: 0.393 s
% 53.96/8.08  % (3737207)Peak memory usage: 17 MB
% 53.96/8.08  % (3737207)Instructions burned: 692 (million)
% 53.96/8.08  % (3737221)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3842373280:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 53.96/8.08  % Exception at run slice level
% 53.96/8.08  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.96/8.08  % (3737223)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1099527660:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 53.96/8.08  % Exception at run slice level
% 53.96/8.08  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.96/8.08  % (3737225)ott-2_1_sil=16000:newcnf=on:random_seed=2170635391:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 53.96/8.08  % (3737208)Instruction limit reached! 
% 53.96/8.08  % (3737208)------------------------------
% 53.96/8.08  % (3737208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737208)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737208)Termination reason: Instruction limit
% 53.96/8.08  % (3737208)Termination phase: Saturation
% 53.96/8.08  % (3737208)Time elapsed: 0.501 s
% 53.96/8.08  % (3737208)Peak memory usage: 18 MB
% 53.96/8.08  % (3737208)Instructions burned: 880 (million)
% 53.96/8.08  % (3737227)ott+10_1_sil=32000:tgt=ground:random_seed=544412482:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 53.96/8.08  % (3737203)Instruction limit reached! 
% 53.96/8.08  % (3737203)------------------------------
% 53.96/8.08  % (3737203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737203)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737203)Termination reason: Instruction limit
% 53.96/8.08  % (3737203)Termination phase: Saturation
% 53.96/8.08  % (3737203)Time elapsed: 0.686 s
% 53.96/8.08  % (3737203)Peak memory usage: 20 MB
% 53.96/8.08  % (3737203)Instructions burned: 1179 (million)
% 53.96/8.08  % (3737229)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4041240045:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 53.96/8.08  % Exception at run slice level
% 53.96/8.08  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.96/8.08  % (3737231)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4135451349:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 53.96/8.08  % (3737225)Instruction limit reached! 
% 53.96/8.08  % (3737225)------------------------------
% 53.96/8.08  % (3737225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737225)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737225)Termination reason: Instruction limit
% 53.96/8.08  % (3737225)Termination phase: Saturation
% 53.96/8.08  % (3737225)Time elapsed: 0.379 s
% 53.96/8.08  % (3737225)Peak memory usage: 13 MB
% 53.96/8.08  % (3737225)Instructions burned: 869 (million)
% 53.96/8.08  % (3737219)Instruction limit reached! 
% 53.96/8.08  % (3737219)------------------------------
% 53.96/8.08  % (3737219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737219)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737219)Termination reason: Instruction limit
% 53.96/8.08  % (3737219)Termination phase: Saturation
% 53.96/8.08  % (3737219)Time elapsed: 0.659 s
% 53.96/8.08  % (3737219)Peak memory usage: 18 MB
% 53.96/8.08  % (3737219)Instructions burned: 1473 (million)
% 53.96/8.08  % (3737233)dis+21_1_sil=32000:sas=cadical:random_seed=3486935073:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 53.96/8.08  % (3737234)ott+11_1_sil=16000:gs=on:random_seed=672707254:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 53.96/8.08  % (3737217)Instruction limit reached! 
% 53.96/8.08  % (3737217)------------------------------
% 53.96/8.08  % (3737217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737217)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737217)Termination reason: Instruction limit
% 53.96/8.08  % (3737217)Termination phase: Saturation
% 53.96/8.08  % (3737217)Time elapsed: 1.431 s
% 53.96/8.08  % (3737217)Peak memory usage: 41 MB
% 53.96/8.08  % (3737217)Instructions burned: 5133 (million)
% 53.96/8.08  % (3737237)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=282805720:fmbsr=1.6:i=67534_2982 on theBenchmark for (2982ds/67534Mi)
% 53.96/8.08  % Exception at run slice level
% 53.96/8.08  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.96/8.08  % (3737239)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3785537595:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2982 on theBenchmark for (2982ds/4591Mi)
% 53.96/8.08  % (3737234)Instruction limit reached! 
% 53.96/8.08  % (3737234)------------------------------
% 53.96/8.08  % (3737234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737234)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737234)Termination reason: Instruction limit
% 53.96/8.08  % (3737234)Termination phase: Saturation
% 53.96/8.08  % (3737234)Time elapsed: 1.161 s
% 53.96/8.08  % (3737234)Peak memory usage: 22 MB
% 53.96/8.08  % (3737234)Instructions burned: 2252 (million)
% 53.96/8.08  % (3737242)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2336246250:i=29340_2977 on theBenchmark for (2977ds/29340Mi)
% 53.96/8.08  % (3737231)Instruction limit reached! 
% 53.96/8.08  % (3737231)------------------------------
% 53.96/8.08  % (3737231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737231)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737231)Termination reason: Instruction limit
% 53.96/8.08  % (3737231)Termination phase: Saturation
% 53.96/8.08  % (3737231)Time elapsed: 1.833 s
% 53.96/8.08  % (3737231)Peak memory usage: 32 MB
% 53.96/8.08  % (3737231)Instructions burned: 3514 (million)
% 53.96/8.08  % (3737239)Instruction limit reached! 
% 53.96/8.08  % (3737239)------------------------------
% 53.96/8.08  % (3737239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737239)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737239)Termination reason: Instruction limit
% 53.96/8.08  % (3737239)Termination phase: Saturation
% 53.96/8.08  % (3737239)Time elapsed: 0.970 s
% 53.96/8.08  % (3737239)Peak memory usage: 19 MB
% 53.96/8.08  % (3737239)Instructions burned: 4593 (million)
% 53.96/8.08  % (3737244)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2766585496:i=5211_2972 on theBenchmark for (2972ds/5211Mi)
% 53.96/8.08  % (3737245)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=165055775:i=5497:nm=2_2972 on theBenchmark for (2972ds/5497Mi)
% 53.96/8.08  % Exception at run slice level
% 53.96/8.08  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.96/8.08  % (3737248)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3107249273:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 53.96/8.08  % Exception at run slice level
% 53.96/8.08  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.96/8.08  % (3737250)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1719988282:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 53.96/8.08  % Exception at run slice level
% 53.96/8.08  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.96/8.08  % (3737252)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=799482687:i=22565:add=on:rawr=on_2971 on theBenchmark for (2971ds/22565Mi)
% 53.96/8.08  % (3737233)Instruction limit reached! 
% 53.96/8.08  % (3737233)------------------------------
% 53.96/8.08  % (3737233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737233)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737233)Termination reason: Instruction limit
% 53.96/8.08  % (3737233)Termination phase: Saturation
% 53.96/8.08  % (3737233)Time elapsed: 2.034 s
% 53.96/8.08  % (3737233)Peak memory usage: 36 MB
% 53.96/8.08  % (3737233)Instructions burned: 3775 (million)
% 53.96/8.08  % (3737254)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3264332069:i=8173:av=off_2968 on theBenchmark for (2968ds/8173Mi)
% 53.96/8.08  % (3737227)Instruction limit reached! 
% 53.96/8.08  % (3737227)------------------------------
% 53.96/8.08  % (3737227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737227)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737227)Termination reason: Instruction limit
% 53.96/8.08  % (3737227)Termination phase: Saturation
% 53.96/8.08  % (3737227)Time elapsed: 2.545 s
% 53.96/8.08  % (3737227)Peak memory usage: 18 MB
% 53.96/8.08  % (3737227)Instructions burned: 5114 (million)
% 53.96/8.08  % (3737256)dis+10_16:1_sil=16000:random_seed=1280559839:i=9155:fsr=off_2966 on theBenchmark for (2966ds/9155Mi)
% 53.96/8.08  % (3737244)Instruction limit reached! 
% 53.96/8.08  % (3737244)------------------------------
% 53.96/8.08  % (3737244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737244)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737244)Termination reason: Instruction limit
% 53.96/8.08  % (3737244)Termination phase: Saturation
% 53.96/8.08  % (3737244)Time elapsed: 2.787 s
% 53.96/8.08  % (3737244)Peak memory usage: 47 MB
% 53.96/8.08  % (3737244)Instructions burned: 5213 (million)
% 53.96/8.08  % (3737258)ott-3_8_sil=64000:random_seed=2715917197:i=20139:bs=on_2944 on theBenchmark for (2944ds/20139Mi)
% 53.96/8.08  % (3737252)Instruction limit reached! 
% 53.96/8.08  % (3737252)------------------------------
% 53.96/8.08  % (3737252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737252)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737252)Termination reason: Instruction limit
% 53.96/8.08  % (3737252)Termination phase: Saturation
% 53.96/8.08  % (3737252)Time elapsed: 4.241 s
% 53.96/8.08  % (3737252)Peak memory usage: 22 MB
% 53.96/8.08  % (3737252)Instructions burned: 22570 (million)
% 53.96/8.08  % (3737331)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1087140288:fmbsr=2:i=32576_2929 on theBenchmark for (2929ds/32576Mi)
% 53.96/8.08  % Exception at run slice level
% 53.96/8.08  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 53.96/8.08  % (3737333)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1655534029:i=11404_2929 on theBenchmark for (2929ds/11404Mi)
% 53.96/8.08  % (3737254)Instruction limit reached! 
% 53.96/8.08  % (3737254)------------------------------
% 53.96/8.08  % (3737254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.08  % (3737254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.08  % (3737254)CaDiCaL version: 2.1.3
% 53.96/8.08  % (3737254)Termination reason: Instruction limit
% 53.96/8.08  % (3737254)Termination phase: Saturation
% 53.96/8.08  % (3737254)Time elapsed: 4.106 s
% 53.96/8.08  % (3737254)Peak memory usage: 24 MB
% 53.96/8.08  % (3737254)Instructions burned: 8174 (million)
% 53.96/8.08  % (3737349)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1549572154:i=14134_2927 on theBenchmark for (2927ds/14134Mi)
% 53.96/8.08  % (3737333) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3737172-3737333"...
% 53.96/8.08  % (3737333)...printing done.
% 53.96/8.08  % (3737333)Refutation found. Thanks to Tanya!
% 53.96/8.08  % SZS status Theorem for theBenchmark
% 53.96/8.08  % SZS output start Proof for theBenchmark
% See solution above
% 53.96/8.09  % (3737333)------------------------------
% 53.96/8.09  % (3737333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 53.96/8.09  % (3737333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.96/8.09  % (3737333)CaDiCaL version: 2.1.3
% 53.96/8.09  % (3737333)Termination reason: Refutation
% 53.96/8.09  % (3737333)Time elapsed: 0.547 s
% 53.96/8.09  % (3737333)Peak memory usage: 27 MB
% 53.96/8.09  % (3737333)Instructions burned: 1644 (million)
% 53.96/8.09  % (3737172)Success in time 7.655 s
% 53.96/8.09  % Vampire exiting
%------------------------------------------------------------------------------