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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SCT250_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 : n008.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 12:37:51 PM UTC 2026

% Result   : Theorem 10.95s 2.11s
% Output   : Refutation 10.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;   9   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-5 aty)
%            Number of functors    :   59 (  59 usr;  13 con; 0-6 aty)
%            Number of variables   :   28 (  28   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    arrow_411405190le_alt: $tType ).

tff(type_def_6,type,
    arrow_159774573e_indi: $tType ).

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

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

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

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

tff(func_def_0,type,
    arrow_1985332922le_Lin: fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool) ).

tff(func_def_1,type,
    arrow_610318064e_Prof: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool) ).

tff(func_def_2,type,
    arrow_1158827142_above: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_3,type,
    arrow_319942042_below: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_4,type,
    arrow_276188178_mkbot: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_5,type,
    arrow_424895264_mktop: ( fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_6,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).

tff(func_def_7,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).

tff(func_def_8,type,
    combi: 
      !>[X0: $tType] : fun(X0,X0) ).

tff(func_def_9,type,
    combk: 
      !>[X0: $tType,X1: $tType] : fun(X0,fun(X1,X0)) ).

tff(func_def_10,type,
    finite_card: 
      !>[X0: $tType] : ( fun(X0,bool) > nat ) ).

tff(func_def_11,type,
    pi: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,bool) * fun(X0,fun(X1,bool)) ) > fun(fun(X0,X1),bool) ) ).

tff(func_def_12,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_13,type,
    if: 
      !>[X0: $tType] : fun(bool,fun(X0,fun(X0,X0))) ).

tff(func_def_14,type,
    ord_less: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_15,type,
    top_top: 
      !>[X0: $tType] : X0 ).

tff(func_def_16,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).

tff(func_def_17,type,
    product_prod_rec: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_18,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

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

tff(func_def_20,type,
    fFalse: bool ).

tff(func_def_21,type,
    fTrue: bool ).

tff(func_def_22,type,
    f: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).

tff(func_def_23,type,
    lab: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_24,type,
    lba: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_25,type,
    a: arrow_411405190le_alt ).

tff(func_def_26,type,
    b: arrow_411405190le_alt ).

tff(func_def_27,type,
    h: fun(arrow_159774573e_indi,nat) ).

tff(func_def_28,type,
    sK2: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_29,type,
    sK3: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).

tff(func_def_30,type,
    sK4: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).

tff(func_def_31,type,
    sK5: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).

tff(func_def_32,type,
    sK6: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).

tff(func_def_33,type,
    sK7: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).

tff(func_def_34,type,
    sK8: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).

tff(func_def_35,type,
    sK9: ( fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_159774573e_indi ).

tff(func_def_36,type,
    sK10: ( arrow_159774573e_indi * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).

tff(func_def_37,type,
    sK11: ( arrow_159774573e_indi * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > arrow_411405190le_alt ).

tff(func_def_38,type,
    sK12: ( arrow_159774573e_indi * fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ) > arrow_411405190le_alt ).

tff(func_def_39,type,
    sK13: ( arrow_411405190le_alt * arrow_411405190le_alt ) > fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_40,type,
    sK14: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).

tff(func_def_41,type,
    sK15: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).

tff(func_def_42,type,
    sK16: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).

tff(func_def_43,type,
    sK17: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_44,type,
    sK18: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) ).

tff(func_def_45,type,
    sK19: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,fun(X0,bool)) * fun(X1,X0) * fun(X1,bool) ) > X1 ) ).

tff(func_def_46,type,
    sK20: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).

tff(func_def_47,type,
    sK21: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).

tff(func_def_48,type,
    sK22: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).

tff(func_def_49,type,
    sK23: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X0,X1) * fun(X0,bool) ) > X0 ) ).

tff(func_def_50,type,
    sK24: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X1 ) ).

tff(func_def_51,type,
    sK25: 
      !>[X0: $tType,X1: $tType] : ( ( fun(product_prod(X1,X0),bool) * fun(product_prod(X1,X0),bool) ) > X0 ) ).

tff(func_def_52,type,
    sK26: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X1,X0) ) > X1 ) ).

tff(func_def_53,type,
    sK27: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,bool) * fun(X1,X0) ) > X1 ) ).

tff(func_def_54,type,
    sK28: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_55,type,
    sK29: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

tff(func_def_56,type,
    sK30: 
      !>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).

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

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

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

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

tff(pred_def_5,type,
    linorder: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_7,type,
    arrow_1958449194le_IIA: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).

tff(pred_def_8,type,
    arrow_987702531ctator: ( fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) * arrow_159774573e_indi ) > $o ).

tff(pred_def_9,type,
    arrow_2069624013nimity: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).

tff(pred_def_10,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > $o ) ).

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

tff(pred_def_12,type,
    pp: bool > $o ).

tff(pred_def_13,type,
    sP0: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).

tff(pred_def_14,type,
    sP1: ( arrow_411405190le_alt * arrow_411405190le_alt * fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool) * arrow_411405190le_alt * arrow_411405190le_alt ) > $o ).

tff(f1,axiom,
    member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),lab,arrow_1985332922le_Lin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096Lab_A_058_ALin_096) ).

tff(f4,axiom,
    member(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),f,pi(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_610318064e_Prof,aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_1985332922le_Lin))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_assms_I1_J) ).

tff(f7,axiom,
    ! [X0: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)] :
      ( member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,arrow_1985332922le_Lin)
     => member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),X0),arrow_610318064e_Prof) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_const__Lin__Prof) ).

tff(f43,axiom,
    ! [X0: $tType,X1: $tType,X2: X0,X3: fun(X1,bool),X4: fun(X0,bool),X5: fun(X0,X1)] :
      ( member(fun(X0,X1),X5,pi(X0,X1,X4,aa(fun(X1,bool),fun(X0,fun(X1,bool)),combk(fun(X1,bool),X0),X3)))
     => ( member(X0,X2,X4)
       => member(X1,aa(X0,X1,X5,X2),X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_funcset__mem) ).

tff(f125,conjecture,
    member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),lab)),arrow_1985332922le_Lin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f126,negated_conjecture,
    ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),lab)),arrow_1985332922le_Lin),
    inference(negated_conjecture,[status(cth)],[f125]) ).

tff(f127,plain,
    ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),lab)),arrow_1985332922le_Lin),
    inference(flattening,[],[f126]) ).

tff(f131,plain,
    ! [X0: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)] :
      ( member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),X0),arrow_610318064e_Prof)
      | ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,arrow_1985332922le_Lin) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f170,plain,
    ! [X0: $tType,X1: $tType,X2: X0,X3: fun(X1,bool),X4: fun(X0,bool),X5: fun(X0,X1)] :
      ( member(X1,aa(X0,X1,X5,X2),X3)
      | ~ member(X0,X2,X4)
      | ~ member(fun(X0,X1),X5,pi(X0,X1,X4,aa(fun(X1,bool),fun(X0,fun(X1,bool)),combk(fun(X1,bool),X0),X3))) ),
    inference(ennf_transformation,[],[f43]) ).

tff(f171,plain,
    ! [X0: $tType,X1: $tType,X2: X0,X3: fun(X1,bool),X4: fun(X0,bool),X5: fun(X0,X1)] :
      ( member(X1,aa(X0,X1,X5,X2),X3)
      | ~ member(X0,X2,X4)
      | ~ member(fun(X0,X1),X5,pi(X0,X1,X4,aa(fun(X1,bool),fun(X0,fun(X1,bool)),combk(fun(X1,bool),X0),X3))) ),
    inference(flattening,[],[f170]) ).

tff(f287,plain,
    member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),lab,arrow_1985332922le_Lin),
    inference(cnf_transformation,[],[f1]) ).

tff(f290,plain,
    member(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),f,pi(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_610318064e_Prof,aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_1985332922le_Lin))),
    inference(cnf_transformation,[],[f4]) ).

tff(f293,plain,
    ! [X0: fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)] :
      ( member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),X0),arrow_610318064e_Prof)
      | ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,arrow_1985332922le_Lin) ),
    inference(cnf_transformation,[],[f131]) ).

tff(f394,plain,
    ! [X1: $tType,X0: $tType,X2: X0,X3: fun(X1,bool),X4: fun(X0,bool),X5: fun(X0,X1)] :
      ( member(X1,aa(X0,X1,X5,X2),X3)
      | ~ member(X0,X2,X4)
      | ~ member(fun(X0,X1),X5,pi(X0,X1,X4,aa(fun(X1,bool),fun(X0,fun(X1,bool)),combk(fun(X1,bool),X0),X3))) ),
    inference(cnf_transformation,[],[f171]) ).

tff(f502,plain,
    ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),aa(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),f,aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),lab)),arrow_1985332922le_Lin),
    inference(cnf_transformation,[],[f127]) ).

tff(f2434,plain,
    ! [X0: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),bool)] :
      ( ~ member(fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),f,pi(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),X0,aa(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool)),combk(fun(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool))),arrow_1985332922le_Lin)))
      | ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),lab),X0) ),
    inference(resolution,[],[f394,f502]) ).

tff(f3350,plain,
    ~ member(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),aa(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),combk(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),arrow_159774573e_indi),lab),arrow_610318064e_Prof),
    inference(resolution,[],[f2434,f290]) ).

tff(f3394,plain,
    ~ member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),lab,arrow_1985332922le_Lin),
    inference(resolution,[],[f3350,f293]) ).

tff(f3398,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3394,f287]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SCT250_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43  % Computer : n008.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.44  % WCLimit  : 300
% 0.16/0.44  % DateTime : Mon Sep 28 00:02:55 UTC 2026
% 0.16/0.44  % CPUTime  : 
% 0.16/0.44  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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
% 10.95/2.11  % (1744232)Will run a generic schedule for satisfiability detection.
% 10.95/2.11  % (1744245)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2761620909:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 10.95/2.11  % (1744240)% WARNING: option uhcvi not known.
% 10.95/2.11  % (1744239)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3359220043_2999 on theBenchmark for (2999ds/0Mi)
% 10.95/2.11  % (1744243)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2756942721:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 10.95/2.11  % (1744244)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1475684658:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 10.95/2.11  % (1744241)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1913273770:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 10.95/2.11  % (1744242)dis+10_1_sil=32000:sp=arity:random_seed=2348816850:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 10.95/2.11  % (1744240)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2848775276:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744255)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3083065484:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744245)Instruction limit reached! 
% 10.95/2.11  % (1744245)------------------------------
% 10.95/2.11  % (1744245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744245)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744245)Termination reason: Instruction limit
% 10.95/2.11  % (1744245)Termination phase: Saturation
% 10.95/2.11  % (1744245)Time elapsed: 0.075 s
% 10.95/2.11  % (1744245)Peak memory usage: 13 MB
% 10.95/2.11  % (1744245)Instructions burned: 160 (million)
% 10.95/2.11  % (1744258)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3197486413:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 10.95/2.11  % (1744259)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=996007400:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.95/2.11  % (1744242)Instruction limit reached! 
% 10.95/2.11  % (1744242)------------------------------
% 10.95/2.11  % (1744242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744242)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744242)Termination reason: Instruction limit
% 10.95/2.11  % (1744242)Termination phase: Saturation
% 10.95/2.11  % (1744242)Time elapsed: 0.103 s
% 10.95/2.11  % (1744242)Peak memory usage: 13 MB
% 10.95/2.11  % (1744242)Instructions burned: 103 (million)
% 10.95/2.11  % (1744243)Instruction limit reached! 
% 10.95/2.11  % (1744243)------------------------------
% 10.95/2.11  % (1744243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744243)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744243)Termination reason: Instruction limit
% 10.95/2.11  % (1744243)Termination phase: Saturation
% 10.95/2.11  % (1744243)Time elapsed: 0.116 s
% 10.95/2.11  % (1744243)Peak memory usage: 13 MB
% 10.95/2.11  % (1744243)Instructions burned: 117 (million)
% 10.95/2.11  % (1744244)Instruction limit reached! 
% 10.95/2.11  % (1744244)------------------------------
% 10.95/2.11  % (1744244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744244)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744244)Termination reason: Instruction limit
% 10.95/2.11  % (1744244)Termination phase: Saturation
% 10.95/2.11  % (1744244)Time elapsed: 0.129 s
% 10.95/2.11  % (1744244)Peak memory usage: 13 MB
% 10.95/2.11  % (1744244)Instructions burned: 131 (million)
% 10.95/2.11  % (1744262)ott-21_1_sil=16000:fs=off:random_seed=231748300:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 10.95/2.11  % (1744263)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1162628059:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.95/2.11  % (1744264)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2161438478:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744268)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2028560595:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 10.95/2.11  % (1744258)Instruction limit reached! 
% 10.95/2.11  % (1744258)------------------------------
% 10.95/2.11  % (1744258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744258)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744258)Termination reason: Instruction limit
% 10.95/2.11  % (1744258)Termination phase: Saturation
% 10.95/2.11  % (1744258)Time elapsed: 0.134 s
% 10.95/2.11  % (1744258)Peak memory usage: 13 MB
% 10.95/2.11  % (1744258)Instructions burned: 131 (million)
% 10.95/2.11  % (1744270)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2198124289:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744272)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=1342161682: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)
% 10.95/2.11  % (1744262)Instruction limit reached! 
% 10.95/2.11  % (1744262)------------------------------
% 10.95/2.11  % (1744262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744262)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744262)Termination reason: Instruction limit
% 10.95/2.11  % (1744262)Termination phase: Saturation
% 10.95/2.11  % (1744262)Time elapsed: 0.156 s
% 10.95/2.11  % (1744262)Peak memory usage: 12 MB
% 10.95/2.11  % (1744262)Instructions burned: 180 (million)
% 10.95/2.11  % (1744274)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3954139709:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 10.95/2.11  % (1744259)Instruction limit reached! 
% 10.95/2.11  % (1744259)------------------------------
% 10.95/2.11  % (1744259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744259)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744259)Termination reason: Instruction limit
% 10.95/2.11  % (1744259)Termination phase: Saturation
% 10.95/2.11  % (1744259)Time elapsed: 0.292 s
% 10.95/2.11  % (1744259)Peak memory usage: 14 MB
% 10.95/2.11  % (1744259)Instructions burned: 686 (million)
% 10.95/2.11  % (1744276)fmb+10_1_sil=64000:random_seed=853291997:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 10.95/2.11  % (1744276)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744278)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1815538043:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744280)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2312161602:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744282)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2288271569:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 10.95/2.11  % (1744263)Instruction limit reached! 
% 10.95/2.11  % (1744263)------------------------------
% 10.95/2.11  % (1744263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744263)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744263)Termination reason: Instruction limit
% 10.95/2.11  % (1744263)Termination phase: Saturation
% 10.95/2.11  % (1744263)Time elapsed: 0.488 s
% 10.95/2.11  % (1744263)Peak memory usage: 14 MB
% 10.95/2.11  % (1744263)Instructions burned: 477 (million)
% 10.95/2.11  % (1744284)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1438548604:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 10.95/2.11  % (1744284)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 10.95/2.11  % (1744272)Instruction limit reached! 
% 10.95/2.11  % (1744272)------------------------------
% 10.95/2.11  % (1744272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744272)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744272)Termination reason: Instruction limit
% 10.95/2.11  % (1744272)Termination phase: Saturation
% 10.95/2.11  % (1744272)Time elapsed: 0.629 s
% 10.95/2.11  % (1744272)Peak memory usage: 16 MB
% 10.95/2.11  % (1744272)Instructions burned: 692 (million)
% 10.95/2.11  % (1744286)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3756468711:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744288)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2493826303:fmbsr=2.30978:i=2174_2990 on theBenchmark for (2990ds/2174Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744290)ott-2_1_sil=16000:newcnf=on:random_seed=3185456846:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2989 on theBenchmark for (2989ds/869Mi)
% 10.95/2.11  % (1744274)Instruction limit reached! 
% 10.95/2.11  % (1744274)------------------------------
% 10.95/2.11  % (1744274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744274)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744274)Termination reason: Instruction limit
% 10.95/2.11  % (1744274)Termination phase: Saturation
% 10.95/2.11  % (1744274)Time elapsed: 0.799 s
% 10.95/2.11  % (1744274)Peak memory usage: 20 MB
% 10.95/2.11  % (1744274)Instructions burned: 879 (million)
% 10.95/2.11  % (1744294)ott+10_1_sil=32000:tgt=ground:random_seed=409194026:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 10.95/2.11  % (1744268)Instruction limit reached! 
% 10.95/2.11  % (1744268)------------------------------
% 10.95/2.11  % (1744268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744268)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744268)Termination reason: Instruction limit
% 10.95/2.11  % (1744268)Termination phase: Saturation
% 10.95/2.11  % (1744268)Time elapsed: 1.083 s
% 10.95/2.11  % (1744268)Peak memory usage: 16 MB
% 10.95/2.11  % (1744268)Instructions burned: 1180 (million)
% 10.95/2.11  % (1744296)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=995190808:i=54282_2986 on theBenchmark for (2986ds/54282Mi)
% 10.95/2.11  % Exception at run slice level
% 10.95/2.11  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 10.95/2.11  % (1744298)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2962419653:i=3512:aac=none_2986 on theBenchmark for (2986ds/3512Mi)
% 10.95/2.11  % (1744298) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1744232-1744298"...
% 10.95/2.11  % (1744298)...printing done.
% 10.95/2.11  % (1744298)Refutation found. Thanks to Tanya!
% 10.95/2.11  % SZS status Theorem for theBenchmark
% 10.95/2.11  % SZS output start Proof for theBenchmark
% See solution above
% 10.95/2.11  % (1744298)------------------------------
% 10.95/2.11  % (1744298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.95/2.11  % (1744298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.95/2.11  % (1744298)CaDiCaL version: 2.1.3
% 10.95/2.11  % (1744298)Termination reason: Refutation
% 10.95/2.11  % (1744298)Time elapsed: 0.220 s
% 10.95/2.11  % (1744298)Peak memory usage: 14 MB
% 10.95/2.11  % (1744298)Instructions burned: 235 (million)
% 10.95/2.11  % (1744232)Success in time 1.609 s
% 10.95/2.11  % Vampire exiting
%------------------------------------------------------------------------------