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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : COM041_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 : n009.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 09:40:12 AM UTC 2026

% Result   : Theorem 0.21s 0.32s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   42 (  30 unt;   0 typ;   0 def)
%            Number of atoms       :   54 (  35 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  18   ~;   8   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  21 usr;   1 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  11 con; 0-5 aty)
%            Number of variables   :   62 (  62   !;   0   ?;  62   :)

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

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

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

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

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

tff(func_def_0,type,
    div_mod: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1,type,
    minus_minus: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

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

tff(func_def_3,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

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

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

tff(func_def_6,type,
    zipwith0: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(list(X0),fun(list(X1),list(X2))) ) ).

tff(func_def_7,type,
    cons: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_8,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X1) ) ).

tff(func_def_9,type,
    asubst: ( int * list(int) * atom ) > atom ).

tff(func_def_10,type,
    dvd: ( int * int * list(int) ) > atom ).

tff(func_def_11,type,
    c_PresArith_Oatom_OLe: ( int * list(int) ) > atom ).

tff(func_def_12,type,
    nDvd: ( int * int * list(int) ) > atom ).

tff(func_def_13,type,
    atom_case: 
      !>[X0: $tType] : ( ( fun(int,fun(list(int),X0)) * fun(int,fun(int,fun(list(int),X0))) * fun(int,fun(int,fun(list(int),X0))) * atom ) > X0 ) ).

tff(func_def_14,type,
    atom_rec: 
      !>[X0: $tType] : ( ( fun(int,fun(list(int),X0)) * fun(int,fun(int,fun(list(int),X0))) * fun(int,fun(int,fun(list(int),X0))) * atom ) > X0 ) ).

tff(func_def_15,type,
    divisor: atom > int ).

tff(func_def_16,type,
    hd_coeff: atom > int ).

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

tff(func_def_18,type,
    fFalse: bool ).

tff(func_def_19,type,
    fTrue: bool ).

tff(func_def_20,type,
    a: atom ).

tff(func_def_21,type,
    d: int ).

tff(func_def_22,type,
    e: list(int) ).

tff(func_def_23,type,
    i: int ).

tff(func_def_24,type,
    j: int ).

tff(func_def_25,type,
    ks: list(int) ).

tff(func_def_26,type,
    ks1: list(int) ).

tff(func_def_27,type,
    l: int ).

tff(func_def_28,type,
    sK0: list(int) ).

tff(func_def_29,type,
    sK1: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

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

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

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

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

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

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

tff(pred_def_7,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    semiring_div: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    ab_sem1668676832m_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    semiri456707255roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    i_Z: ( atom * list(int) ) > $o ).

tff(pred_def_21,type,
    pp: bool > $o ).

tff(f3,axiom,
    a = nDvd(d,l,ks1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_NDvd) ).

tff(f12,axiom,
    ! [X0: $tType] :
      ( semiring_div(X0)
     => ! [X1: X0,X2: X0,X3: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),div_mod(X0,X2,X1)),X1) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_zmod__simps_I2_J) ).

tff(f17,axiom,
    ! [X0: $tType] :
      ( ab_semigroup_add(X0)
     => ! [X1: X0,X2: X0,X3: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2)),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_ab__semigroup__add__class_Oadd__ac_I1_J) ).

tff(f19,axiom,
    ! [X0: $tType] :
      ( semiring_div(X0)
     => ! [X1: X0,X2: X0,X3: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),div_mod(X0,X3,X2)),X1),X2) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1),X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_zmod__simps_I1_J) ).

tff(f21,axiom,
    ks1 = cons(int,one_one(int),ks),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20__096ks_A_061_A1_A_D_Aks_H_096) ).

tff(f22,axiom,
    ! [X0: list(int),X1: int,X2: int] : ( divisor(nDvd(X2,X1,X0)) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_divisor_Osimps_I3_J) ).

tff(f33,axiom,
    ! [X0: $tType] :
      ( comm_semiring_1(X0)
     => ! [X1: X0,X2: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

tff(f106,axiom,
    ab_semigroup_add(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Oab__semigroup__add) ).

tff(f107,axiom,
    comm_semiring_1(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1) ).

tff(f108,axiom,
    semiring_div(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Divides_Osemiring__div) ).

tff(f124,conjecture,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),d)),d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f125,negated_conjecture,
    ( ( ~ div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) ) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),d)),d) ),
    inference(negated_conjecture,[status(cth)],[f124]) ).

tff(f127,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),d)),d),
    inference(flattening,[],[f125]) ).

tff(f140,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0,X3: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),div_mod(X0,X2,X1)),X1) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2),X1) )
      | ~ semiring_div(X0) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f145,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0,X3: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2)),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) )
      | ~ ab_semigroup_add(X0) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f148,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0,X3: X0] : ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),div_mod(X0,X3,X2)),X1),X2) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1),X2) )
      | ~ semiring_div(X0) ),
    inference(ennf_transformation,[],[f19]) ).

tff(f161,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) )
      | ~ comm_semiring_1(X0) ),
    inference(ennf_transformation,[],[f33]) ).

tff(f234,plain,
    a = nDvd(d,l,ks1),
    inference(cnf_transformation,[],[f3]) ).

tff(f245,plain,
    ! [X0: $tType,X2: X0,X3: X0,X1: X0] :
      ( ~ semiring_div(X0)
      | ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2),X1) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),div_mod(X0,X2,X1)),X1) ) ),
    inference(cnf_transformation,[],[f140]) ).

tff(f250,plain,
    ! [X0: $tType,X2: X0,X3: X0,X1: X0] :
      ( ~ ab_semigroup_add(X0)
      | ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X2)),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1)) ) ),
    inference(cnf_transformation,[],[f145]) ).

tff(f252,plain,
    ! [X0: $tType,X2: X0,X3: X0,X1: X0] :
      ( ~ semiring_div(X0)
      | ( div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),div_mod(X0,X3,X2)),X1),X2) = div_mod(X0,aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X3),X1),X2) ) ),
    inference(cnf_transformation,[],[f148]) ).

tff(f257,plain,
    ks1 = cons(int,one_one(int),ks),
    inference(cnf_transformation,[],[f21]) ).

tff(f258,plain,
    ! [X2: int,X0: list(int),X1: int] : ( divisor(nDvd(X2,X1,X0)) = X2 ),
    inference(cnf_transformation,[],[f22]) ).

tff(f270,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ comm_semiring_1(X0)
      | ( aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X2),X1) = aa(X0,X0,aa(X0,fun(X0,X0),plus_plus(X0),X1),X2) ) ),
    inference(cnf_transformation,[],[f161]) ).

tff(f354,plain,
    ab_semigroup_add(int),
    inference(cnf_transformation,[],[f106]) ).

tff(f355,plain,
    comm_semiring_1(int),
    inference(cnf_transformation,[],[f107]) ).

tff(f356,plain,
    semiring_div(int),
    inference(cnf_transformation,[],[f108]) ).

tff(f372,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),d) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,d)),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),d)),d),
    inference(cnf_transformation,[],[f127]) ).

tff(f373,plain,
    a = nDvd(d,l,cons(int,one_one(int),ks)),
    inference(forward_demodulation,[],[f234,f257]) ).

tff(f417,plain,
    d = divisor(a),
    inference(superposition,[],[f258,f373]) ).

tff(f419,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),divisor(a)) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,l,divisor(a))),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),divisor(a))),divisor(a)),
    inference(superposition,[],[f372,f417]) ).

tff(f559,plain,
    ! [X0: int,X1: int] : ( aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1) = aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X0) ),
    inference(resolution,[],[f270,f355]) ).

tff(f700,plain,
    ! [X2: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1),X2) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),div_mod(int,X1,X2)),X2) ),
    inference(resolution,[],[f245,f356]) ).

tff(f717,plain,
    ! [X2: int,X0: int,X1: int] : ( div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,X0,X1)),X2),X1) = div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X2),X1) ),
    inference(resolution,[],[f252,f356]) ).

tff(f813,plain,
    ! [X2: int,X0: int,X1: int] : ( aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),X1)),X2) = aa(int,int,aa(int,fun(int,int),plus_plus(int),X0),aa(int,int,aa(int,fun(int,int),plus_plus(int),X1),X2)) ),
    inference(resolution,[],[f250,f354]) ).

tff(f1135,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),divisor(a)) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),divisor(a))),div_mod(int,l,divisor(a))),divisor(a)),
    inference(superposition,[],[f419,f559]) ).

tff(f1146,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),divisor(a)) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e)),divisor(a))),l),divisor(a)),
    inference(forward_demodulation,[],[f1135,f700]) ).

tff(f1156,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),divisor(a)) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),l),divisor(a)),
    inference(forward_demodulation,[],[f1146,f717]) ).

tff(f1163,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),l),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),divisor(a)) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),aa(int,int,aa(int,fun(int,int),plus_plus(int),iprod(int,ks,e)),l)),divisor(a)),
    inference(forward_demodulation,[],[f1156,f813]) ).

tff(f1167,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),aa(int,int,aa(int,fun(int,int),plus_plus(int),i),iprod(int,ks,e))),l),divisor(a)) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),aa(int,int,aa(int,fun(int,int),plus_plus(int),iprod(int,ks,e)),l)),divisor(a)),
    inference(forward_demodulation,[],[f1163,f559]) ).

tff(f1171,plain,
    div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),aa(int,int,aa(int,fun(int,int),plus_plus(int),iprod(int,ks,e)),l)),divisor(a)) != div_mod(int,aa(int,int,aa(int,fun(int,int),plus_plus(int),i),aa(int,int,aa(int,fun(int,int),plus_plus(int),iprod(int,ks,e)),l)),divisor(a)),
    inference(forward_demodulation,[],[f1167,f813]) ).

tff(f1172,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1171]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM041_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n009.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 21:50:45 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.22  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
% 0.21/0.32  % (3525399)Will run a generic schedule for satisfiability detection.
% 0.21/0.32  % (3525416)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=541692040_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.32  % Exception at run slice level
% 0.21/0.32  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.32  % (3525417)% WARNING: option uhcvi not known.
% 0.21/0.32  % (3525419)dis+10_1_sil=32000:sp=arity:random_seed=4148910618:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.32  % (3525417)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=394532878:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.32  % (3525418)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2722365003:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.32  % (3525421)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3529234545:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.32  % (3525420)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3064846262:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.32  % (3525422)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3544224553:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.32  % (3525429)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3531272206:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.32  % Exception at run slice level
% 0.21/0.32  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.32  % (3525440)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4256685740:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.32  % (3525421) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3525399-3525421"...
% 0.21/0.32  % (3525421)...printing done.
% 0.21/0.32  % (3525421)Refutation found. Thanks to Tanya!
% 0.21/0.32  % SZS status Theorem for theBenchmark
% 0.21/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.32  % (3525421)------------------------------
% 0.21/0.32  % (3525421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32  % (3525421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32  % (3525421)CaDiCaL version: 2.1.3
% 0.21/0.32  % (3525421)Termination reason: Refutation
% 0.21/0.32  % (3525421)Time elapsed: 0.047 s
% 0.21/0.32  % (3525421)Peak memory usage: 12 MB
% 0.21/0.32  % (3525421)Instructions burned: 76 (million)
% 0.21/0.32  % (3525399)Success in time 0.098 s
% 0.21/0.32  % Vampire exiting
%------------------------------------------------------------------------------